diff --git "a/data/dm_maths/full_data_2/2244_11255.jsonl" "b/data/dm_maths/full_data_2/2244_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2244_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 33647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 6 - 2 = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3841\/52 - -2166\/13. Let j = x + -92. Factor -3\/8*q**2 + 9\/8*q - j.\nAnswer: -3*(q - 2)*(q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 3, v: 1, l: 2, q: 10}. What is prob of sequence lvl?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -415.731*1\nAnswer: -415.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1640 + 96 = 7*x. Calculate the remainder when x is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 472275 and 14220725.\nAnswer: 127986525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 700554.8 + -507100. Let k = 193533.7957 - j. Let b = k + -79. What is b rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28767557 divided by -316127?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 212, 203, 194, 185, 176?\n\"Answer: -9*c + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4 + 19*j + 3 + 11 - 24.\nAnswer: 19*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1584) + 1 + 4 + (sqrt(1584) + 1)*-6 + -2 + (sqrt(1584) - (sqrt(1584) + 0)))**2.\nAnswer: 480*sqrt(11) + 39616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by 38000.\nAnswer: -14\/2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32003343 (base 5) to base 16.\nAnswer: -40f72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2540136, -2540135, -2540134, -2540133, -2540132, -2540131?\n\"Answer: k - 2540137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(0 + 3 + 4). Suppose -h + z*h = 288. Find the common denominator of -45\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241*a**5 - 6*a**4 - 237*a**3 - 12265945*a wrt a.\nAnswer: -4820*a**3 - 72*a**2 - 1422*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 9*u - 20. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*c**2*g**3 + 270*c**2*g**2 + 21*c**2*g - 73*c*g**3 + 7*c*g - 7*c + 299*g**4 - 8*g wrt g?\nAnswer: -468*c**2 - 438*c + 7176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:33 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*92\/77004*-589.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - p + 6 = 0, u + 5*p - 2 = 4*u. Let f = -2 + 6. Let x be ((-2)\/f)\/((-4)\/40). What is the greatest common factor of x and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 11) to base 9\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 + 223 - 110)*(3*a + 2*a - 1 - 3*a + 6*a - 3*a - 2*a - a + 4*a - 4*a + (3 - 1 - 3)*(-4 + 4 - 2*a) - 3 + 3 + a - a - 4*a + 4*a).\nAnswer: -112*a + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s**4 + 3*s**3 - 85*s**2. Let t(u) = 43*u**4 + 14*u**3 - 339*u**2. Let z(b) = 9*g(b) - 2*t(b). Find the third derivative of z(m) wrt m.\nAnswer: 312*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15449729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -3*w**4\/4 - 186*w**3 - 3267*w**2\/2 - 4860*w + 7463. Let y(l) = 0. Calculate l.\nAnswer: -180, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 18. Which is bigger: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (31 - 31 - (-3 - (-15 + 3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gagbagbgg. What is prob of sequence baaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 5, s: 3, d: 1, l: 10}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*6\/(-60)*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278 + -251. Calculate the remainder when 132 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192*h**4 + 16843*h**3 - h**2 + 150529*h - 1?\nAnswer: 4608*h + 101058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Suppose 21 = p*k + y, -2*y - 1 - 5 = -2*k. Which is greater: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-8)\/(-6)*(-6)\/(-4)). Solve b = -2*l - 2*r - 6, 4*r + 3 = l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 2*u**2 + 3*u + 2. Let j(k) = k**3 - 3*k**2 + 2*k + 3. Let r(h) = 2*j(h) - 3*p(h). What is the second derivative of r(c) wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25360412 divided by -308.\nAnswer: -82339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/29 + -163\/1392. Let u(l) be the third derivative of x*l**4 + 0*l**3 + 1\/240*l**5 + 0*l + 0 - 2*l**2. Factor u(z).\nAnswer: z*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1\/2*f**2 - 1\/3*f**3 + 84 - 9*f. Determine v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - z + 1. Let m(v) = 25*v**2 - 106*v + 2409. Let r(w) = 24*g(w) - 3*m(w). Factor r(t).\nAnswer: -3*(t - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 49027 = 4*x, -5*x - w = -9*x + 49097. Is 68 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4\/7 + 6688*d**3\/7 + 215584*d**2\/7 + 1620480*d\/7 = 0.\nAnswer: -20, -12, 0, 3376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-476))\/(4\/14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/9)\/5 + 25\/9. Suppose 0 = -k*q + 12 - 3. Let x(f) = 6*f**2 + f + 3. Is x(q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 * -6.55\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 44*p**3\/3 + 122*p**2 + 120*p + 9302. Suppose k(t) = 0. Calculate t.\nAnswer: -5, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 19849926.\nAnswer: 7\/9924963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18204766 to the power of 1\/2, to the nearest integer?\nAnswer: 4267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75392356 - -75392355.69199641. Let v = a + 0.308. What is v rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 - 0.8. Let f = 3.5 - y. Let p = -0.27 - 0.03. What is the closest to p in f, 3\/4, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 3, e: 3, f: 2, s: 1, w: 7}. Give prob of sequence few.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10030465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 14 = -x, -4*x - 28 = 3*k - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 23*d**2 - d - 19. Give u(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**5\/11 + 778*n**4\/11 - 5540*n**3\/11 - 20486*n**2\/11 - 12780*n\/11 = 0. What is n?\nAnswer: -71, -2, -5\/6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36615 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 5, w: 1, h: 4}. What is prob of picking 2 r and 2 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-49 + 55 + -8 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**9*k)*k)\/k*((k*k*k**(5\/2)\/k)\/k)\/k)**(-25)\/(k**(5\/6)*k*k*k**(-2\/3)\/k*k**2*k**(-1\/2)) assuming k is positive.\nAnswer: k**(959\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (-4 + (-3 + sqrt(847) + 1 - (sqrt(847)*-1 + -2 + sqrt(847))))**2)*-6.\nAnswer: -5149 + 528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8093306*k**3*y + k**2*y + 2*k**2 - 102*k + 10*y + 18 wrt k.\nAnswer: 48559836*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uutuuuuuuuuuuuttuttu?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 4, f: 16}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 24*m - 20*m = -8, 19*m + 76 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 0.1. Let q = -9 - -10. Let y = q - 2. Which is the smallest value? (a) -4 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8.04, 66609, -5, -0.2 in ascending order.\nAnswer: -5, -0.2, 2, 8.04, 66609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029195738 rounded to 6 decimal places?\nAnswer: 0.000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 31 + 3 + 610*x)*(-4 + 3 - 1)*(-6*x - 21 + 21) to k + q*x + o*x**2 and give o.\nAnswer: 7320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 272\/(-40) - 2\/10. Let f(p) be the second derivative of p**5\/20 + 7*p**4\/12 + p**3\/6 + 7*p**2\/2 + 5*p - 102. Calculate f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43678860 divided by -8735772\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 4*z + 22*d - 60 = 27*d, 3*z + 29*d = -348 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvrvrvvvr. What is prob of sequence rrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 188815 * -3\nAnswer: -566445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/4 and -53\/20953.\nAnswer: 83812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**5*i\/i**6*i**3\/(i\/(((i\/i**(2\/13))\/i)\/i)) assuming i is positive.\nAnswer: i**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059884443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 - m - 7. What is s(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2. Let y(s) = 21*s. Determine y(c(m)).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*s + 2*s - 485, -3*s - 495 = -3*g. Suppose 2*l - 5*l + 15 = 0. Suppose -l*m + 3*b = -271, -3*b + b = -3*m + g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 12*m**2 - 13*m - 10. Calculate j(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 140 = -26*h. Suppose 79 = -h*t + 89. Factor 0 + 0*p**t + 7\/3*p**3 + 1\/3*p**4 + 0*p.\nAnswer: p**3*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12246714 a multiple of 669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o = -196 - 146 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 36. Determine d(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 12, -5, 1.41, -2\/3 in descending order.\nAnswer: 12, 1.41, -0.5, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377453.\nAnswer: 23, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 26.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 17 + 7 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 24. Suppose 2*d = -3*g + 23, -3*g = -7*d + 2*d - 16. Suppose g = 3*a - t. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 5, -0.39, 4, 0.1 in decreasing order.\nAnswer: 10, 5, 4, 0.1, -0.39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0 + 2*p**2 + 1\/3*p**4 - 4\/3*p**3 + 0*p - 1\/30*p**5. Solve q(y) = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 30. Suppose -20 = 3*o - o. Let r be t(o). Solve 10*d = 6*d + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4489498 decades?\nAnswer: 4.489498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - s)*(-3*s**3 + 0*s**3 + s**3) + 4*s**4 + 4*s**4 - 6*s**4 + 3*s**4 + s**4 - 5*s**4 - s**4 + 2*s**4 - 5*s**4.\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (95\/(-20))\/((-4)\/((-64)\/60)) and 2\/(-8) + (2057\/(-84))\/11.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p - 10 = 166 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4301, 4, 16, 2, 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 8:08 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*k + 271*k - 1870 = 0. What is the lowest common multiple of k and (10\/3)\/(1\/3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163321846 divided by -2?\nAnswer: -581660923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 9*z**2 - z. Let j be k(-9). Let f(l) = j + 2 + 2 - 2*l + 4*l. Calculate f(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.923397cm in micrometers?\nAnswer: 69233.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -392*g - 305. Determine c(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6659*d**2*p + 2*d**2*s**2 + 2*d*p*s + 5361*p*s**2 wrt s.\nAnswer: 4*d**2 + 10722*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7232693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (-5*((sqrt(637) - (-2 + sqrt(637))*-6) + 5))**2*6*3).\nAnswer: -28135794 + 617400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3416 - -3418. Factor -2\/13*y**4 - 2\/13*y**3 + 2\/13*y**r + 0 + 2\/13*y.\nAnswer: -2*y*(y - 1)*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*q - 709145 = 0, 2*q - 8*q = -k - 177320. What is k rounded to the nearest one thousand?\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3 + 1)*7\/(-2) and 19?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -3*h, 52 = -4*j - 419*h + 417*h - 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23 + 1162*f**3 - 3298*f**3 + 146*f**2 - 5 + 37 - 10 wrt f?\nAnswer: -12816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*r - 8, 4*l + 8*r - 4*r + 20 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 + 48\/32. Find the common denominator of -9\/68 and (374\/(-77))\/(72\/(-21) + m).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2 + 2)*(3 - 1 + 7 + 0 - 1 + 0 + (4 - 2 - 3)*(1 - 4 + 1)) to the form c*k + y and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2 - 1948*j + 1950 = 0.\nAnswer: -975, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - (3 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2224 and 5\/2502.\nAnswer: 20016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 - 15 = -2*m, -5*p - 15 = 0. Solve -2 = m*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2000001*o**3 - 6*o + o + 6*o. Let d(b) = b**2 + 2*b + 1. Let a be d(-2). Let p be y(a). What is p rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5022.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -2)*(-1)\/2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1357227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 70. Let d be q(-28). Solve -d = 4*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129.2107 * 4.\nAnswer: -516.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(2*sqrt(4)) + (-5*(sqrt(14) - sqrt(224)) - sqrt(14)))\/(sqrt(72) - (sqrt(72)*2 - sqrt(72))*-1).\nAnswer: 29*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-15) - 2184\/(-420). Solve n*k - 4*b + 9 = 14, -23 = k + 4*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5746, 23164, 52196, 92842, 145102, 208976, 284464?\n\"Answer: 5807*q**2 - 3*q - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-177)\/(-118).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5)\/6*2*5\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18\/5)\/(v*v**(-2\/55)*v)*(v*v**(-38))**28 assuming v is positive.\nAnswer: v**(-57286\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -156. Let s = 435 + h. List the prime factors of s.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uigga. What is prob of sequence aigg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157212*h = 157219*h. Find c such that 8\/5*c**4 + 2\/5*c**2 + 0 + 2*c**3 + h*c = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:32 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6459, -26137, -58935, -104853, -163891?\n\"Answer: -6560*v**2 + 2*v + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170861753393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*a**5 - 11 + 94*a**3 - 94*a**3 - 139 + 4*a + 88*a**5 + 3*a**2 wrt a?\nAnswer: 2140*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61162.4km?\nAnswer: 61162400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 3 (b) -5 (c) 4 (d) 0.19 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**2 + 53*n**2 - 23*n**2 - 58*n**3 + n**3 - 7*n**2.\nAnswer: -57*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 12*c**7\/7 + 13*c**6\/5 + 3*c**5\/20 - c**4\/4 + 30*c + 7. Find u, given that w(u) = 0.\nAnswer: -1, -1\/4, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ootgccgotogottg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 3\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2835373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-6 - (0 + -4). Let g(x) = 8*x - 7. Let k be g(5). Let d = k + c. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130133 (base 6) to base 5.\nAnswer: -333341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 9*l - 30. Let m(y) = y + 2. Let f(r) = r**3 - 6*r**2 + 12*r - 28. Let o be f(5). Let k(j) = -j - 2. What is l*k(w) + o*m(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93730)\/8034*2*(-9)\/(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100372.\nAnswer: 2, 23, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*b - 23, -67 - 72 = -10*b - h. Solve -b = -3*o + n, 4*n = -4*o - n - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - k = k - 182, -4*s + 164 = -4*k. Suppose -2*p + f - s = -7*p, 2*f = -p + 16. Suppose -p = -8*w + 4*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 37 - 18*f**2 - 37 to i + u*f**2 + c*f and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 42 = -a, 6*a = 11*d - 183 + 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**2 - 3*a + 0*a + 5*a.\nAnswer: 21*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 k when four letters picked without replacement from {k: 3, j: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/5)\/(y*y**7)*y**(-7)*y*y*y*y\/(((y\/((y**3\/y)\/y))\/y)\/y) assuming y is positive.\nAnswer: y**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 49 = h, -t - 7 = 3*h - 4. Suppose f = t - 2. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100057830*f**3 + 100057808*f**3 + 9*f**2 + 11*f**2.\nAnswer: -22*f**3 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31214 + -31120. Solve q + 90*a - c*a = -6, -4*a - 6 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2531896092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 6690373658023.\nAnswer: 6690373658024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115711*w**3 - 2703*w + 27 wrt w.\nAnswer: 694266*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2287847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -5, 1, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgwtxtxsss. Give prob of sequence gxs.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((-2 + sqrt(1216) - sqrt(1216))**2 - (3 + (sqrt(19) - (sqrt(19) + -2))) - -1*((sqrt(2736) + 1)**2 + -2)).\nAnswer: -10936 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621679789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1220452293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 69*k - 10. What is the hundreds digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7 = -109*r + 107*r + 30, 13*r = 5*o + 48 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/48)\/((35\/20)\/7))\/(12\/(-396))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + m - 1. Let p(b) = 4*b**2 - 8*b + 8. Let h(z) = -p(z) - 8*y(z). Let a(g) = -91*g**2. Give a(h(l)).\nAnswer: -1456*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -741100 rounded to the nearest 10000?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y**3 - 3*y**2 - 3. Let s(g) = 70*g**3 - 14*g**2 - 14. Give 14*h(n) - 3*s(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792537657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -12\/14503729, 5\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 + 76\/(-12). Let h = b + 20. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 74, 337, 3.7, 15?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 2*x. Suppose -9 = 4*l - 1. Let h(t) = 3*t**2 - 2*t. Let v(b) = l*r(b) - 3*h(b). Factor v(o).\nAnswer: -o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + 2*l)*(3*l**2 + 3*l**2 - 7*l**2 + (0 - 2*l + 0)*(l + 4*l - 3*l) - 2*l**2 - 2*l**2 + 2*l**2).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109565 is divided by 109559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1979 + -1977. Let z(q) be the second derivative of -1\/3*q**3 + 11*q + 0*q**f + 0. Let y(k) = 30*k. What is z(y(n))?\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 34442.\nAnswer: 1\/17221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 948, 2313, 4272, 6825?\nAnswer: 9972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.75327 and -0.1.\nAnswer: 9.65327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2731420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 13) in base 12?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843948 rounded to the nearest one thousand?\nAnswer: 2844000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/113143301 and -67\/9.\nAnswer: 1018289709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.3, 5, -4, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1842.08 rounded to the nearest 10?\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 + 1452*u + 3162456.\nAnswer: (u + 4356)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let u(r) = 0*r**3 - 4*r**2 + 6*r - 2*r - r - 3 + r**3. Let l be u(f). Sort l, -4, -2.\nAnswer: l, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 74.3. Let w = 0.3 + g. Let i = -54\/11 - -529\/110. Do i and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*b - 5*b**3 + 4*b**3 - 2 + 3*b**2 + (-5*b**2 - b + b)*(-239*b - 711*b + 246*b).\nAnswer: 3519*b**3 + 3*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29546, 29571, 29582, 29573, 29538?\nAnswer: 29471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {i: 7, v: 1, y: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/12 + 10*n. Let i(j) = 2*j. Give i(p(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -3\/8, -1071?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpp when three letters picked without replacement from yvvvvlpkpvykvyk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 19*k + 40. Let v be a(17). What is the third derivative of -o**2 + 11*o**2 - 4*o**2 + 10*o**2 + 5*o**v wrt o?\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/2 + 5\/(65\/104))*(-350)\/75.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5988783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*d, -5*q - 3*d = 79 - 72 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249 a factor of 121837983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = -76 + 6 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/((-2)\/(-5)). Let q = -2 + f. What is the units digit of (1 - q)*(0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 192209*y**2\/2 - 9235978815*y\/2 + 9236171025\/2.\nAnswer: -(y - 1)*(y + 96105)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 11. Let r be i(-8). What is the remainder when 1\/((0 - r)\/27) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6042*t**3 + 5315 wrt t.\nAnswer: -18126*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:00 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/46176 and -121\/303696.\nAnswer: 7896096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 = 12*y - 2102. Let g = -132 + y. Solve g = -9*s + 7*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15409050 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + (sqrt(720) - (0 + sqrt(720)))*5*5 + -2*(sqrt(720)*-2 + sqrt(720))*3 + -3)**2.\nAnswer: -432*sqrt(5) + 25929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 21*l - 7. Let p be k(-21). What is the tens digit of ((-8)\/p)\/4 + 3669\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1433*y*z + 59182965*y - 8909*z wrt z?\nAnswer: 1433*y - 8909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:23 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 768960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*t**2 - 212 - 3*t**2 - 50*t + 12*t - 5*t**2 - 69 wrt t.\nAnswer: -2*t - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -188*g - 10163. Calculate o(-54).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-1)\/((-57)\/(-279)). Let n = 24\/133 + s. Which is smaller: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemfememmmemfmmffmm. Give prob of picking 2 f.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*l + 71, 0 = b - 3*l - l - 19. Calculate the remainder when 160 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1744 divide 4937096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 81. Suppose v*m - 958 = 26*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*g**4 - 579*g**3 + 2718*g**2 - 3936*g - 672 = 0. Calculate g.\nAnswer: -2\/13, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -66286*f**4\/3 - 66290*f**3\/3 + 22094*f**2 + 66290*f\/3 + 4\/3 = 0?\nAnswer: -1, -2\/33143, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/31 (b) -5 (c) -0.1 (d) 0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(10\/11)*b**(4\/3))\/(b**(-2\/11)\/(b\/(b**39\/b)*b)) assuming b is positive.\nAnswer: b**(-1075\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1169678523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/384 and -61\/672.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(4494\/(-36))*33\/88*(-32)\/(-36)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + -4 + (1 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -5 (b) -547 (c) 0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2312, 2308, 2304, 2300, 2296?\n\"Answer: -4*a + 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*y - y**3 + 780*y + 14*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 420, 852, 1286, 1722, 2160, 2600?\n\"Answer: w**2 + 429*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) -1\/6 (c) 3\/5 (d) -0.1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1724946 and 6324802.\nAnswer: 18974406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/6 - 11*r. Let p(s) = 4*s**2. What is p(x(j))?\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -831 + 6961. What are the prime factors of s?\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 2. Let k be i(-9). Let n(w) = -k*w + 4*w + w. Let p(q) = 6*q**2 - 5*q - 5. Let f(v) = v**2 - v - 1. Let s(m) = 5*f(m) - p(m). What is s(n(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 132\/5. What is the closest to a in 1\/5, 0.06, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 53. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39991829 to the power of 1\/2, to the nearest integer?\nAnswer: 6324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -453021*r**3*z**2 - 73*r**3*z + 2*r**2*z**2 + 2*r**2*z - 9*r*z**2 - 3*r*z + 606*r - 10*z**2 wrt r?\nAnswer: -2718126*z**2 - 438*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*d**2*l - 4540952*d**2 + 9*d*l**2 + 1047*d*l wrt l?\nAnswer: -19*d**2 + 18*d*l + 1047*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367367 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9)\/p*p)\/p*p*p*p)**(-29)*p*p**(2\/5)*p\/p**7 assuming p is positive.\nAnswer: p**(-2527\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -794 + 794.4. Which is the closest to 1? (a) 12 (b) 2 (c) -6 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 793 - 717. Let j = -66.26 + h. Round j to 1 dp.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/61468 and 83\/110.\nAnswer: 307340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*q = 2*r - 78, -5*r = 5*q - 120. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.307 * -1.\nAnswer: -0.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -1)*-1 + -2. Let u = 0.042 + -0.442. Which is the closest to m? (a) 0.2 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y + 134 - 140 + 91*y**2 + 26*y to the form q + j*y**2 + i*y and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*r - 57 = -57 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 19. Let y be x(-17). Suppose 13*k + 43 = 303. Solve k = 3*t + y*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**2 + 19\/3*l**3 - l - 13 + 1\/4*l**4. Let i be f(-19). Is i smaller than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - p = -12*i - 8, -3*p = -5*i - 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 42 = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1181040 divided by 29526.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/9 + 10\/9. Let z = -6 + 10. Let n be (-2)\/5 + z\/(-15). Which is the closest to k? (a) 1\/3 (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*n + 8, 13 = -4*k - 3*n - 0*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2843\/5, -3\/5, 3 in ascending order.\nAnswer: -3\/5, 3, 2843\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 30270*a\/7 - 121048\/7.\nAnswer: -2*(a + 4)*(a + 15131)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -75666.897 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 11. Let g(d) = -2*d**2 - 3*d + 22. Let c(u) = 3*g(u) + 5*k(u). Determine c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/11532 and -17\/14?\nAnswer: 80724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 2, a: 9, j: 4, i: 1}. What is prob of picking 1 i and 2 b?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t + 2*t**3 + 0*t**3 - 165*t + 319*t + 0*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55.53 - -55.33. Let n be 2 - ((-3)\/3)\/(-1). Let x = n - 3. Which is the smallest value? (a) x (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73478 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 540 + -229. Let u = v + -166. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 26*o**2 + 34*o + 883. Give u(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*d - 7*l + 71 = 3*d - 3*l, 12*d - 148 = -4*l for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-409*j + 357*j + 613*j)*(1 - 3 + 5) - j + 6*j - 4*j in the form l*j + r and give l.\nAnswer: 1684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 2*s - 4. Let p be n(-4). Let a = 129 - 75. Calculate the highest common factor of p and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/((-2948)\/176)*(-11)\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 693, 1359, 2007, 2637?\n\"Answer: -9*k**2 + 693*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 - 2*u**4 - u**4 + (37*u + 813 - 813)*(-u**3 - 2*u**3 + 4*u**3) - 2*u**4 - u + u as r*u + b*u**4 + n*u**3 + x*u**2 + q and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 45 - 45. Let m(t) = 13*t + 1. Give 9*j(w) + 2*m(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 115, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2938 and 1379599.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 - (-66 + (-2 - 3) + 7 + -6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 147 and -1910?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - l + 105*l**2 + 117 - 3*l.\nAnswer: 105*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 54 - (26 - 3 - (6 + -12 - -20))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 4. Let y be k(6). Let c = y - -4. What is the remainder when 13\/(-2)*(-6 - (3 - 3)) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b. Let a(k) be the third derivative of 0*k - 1\/60*k**5 + 0*k**3 - 99*k**2 + 0*k**4 + 0. What is a(m(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18244252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4308 and 56537115?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13795*l + 648817 + 206473 = 0 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (41 - 0) + (163 - 160).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 137000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, -900, -5092, -13260, -26730, -46828, -74880?\nAnswer: -112212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -253*n - 2940. Calculate the lowest common multiple of 400 and a(-12).\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 16. Let w be m(4). Suppose -48 = -f - 4*g, -3*f + 2*g - 6*g + 120 = w. What is the smallest common multiple of 66 and f?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -758 (base 12) to base 14\nAnswer: -56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47253 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -24*v**2 - 65. Let j(p) = 96*p**2 + p + 259. Let l(h) = -2*j(h) - 9*n(h). What is the first derivative of l(c) wrt c?\nAnswer: 48*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21120 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-21)*(99\/36 - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.4, -40, -141, -4?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/12 + 53*g**3 - 25909*g**2\/3 + 66568*g - 394384\/3 = 0. What is g?\nAnswer: 4, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -47. Suppose -i*h + 360 = -4*m, -3*h = m - 6*m - 262. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 2*y - 207. Is p(-35) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604*p + 587*p + 6482 = -5282. Solve 11*s = -p + 659 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 475035.6 from 2.4153.\nAnswer: -475033.1847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-10) - (0 + 231\/(-55)). Let u = -0.3 - 0.1. Which is the closest to d? (a) -1 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)*z*z*z**(-13))**(-19) assuming z is positive.\nAnswer: z**(589\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13727 and 49.\nAnswer: 96089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 18522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, -0.2, -2\/3, -148374?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*x + 39*x = -100230. Solve x*v = 265*v + 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1229 (base 12) to base 10.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 4 - 10*v**2 - 3*v**3 - 6*v + 4*v**2 + 0. Let m be c(-5). Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m - 12. Let k be r(2). Let s(h) = 2*h**2 - 2*h - 4. Let v be s(3). Is v bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -5. Let m = -62\/3 - -20. What is the third smallest value in a, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {p: 8, m: 3, l: 4, k: 1, r: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301413 and 2387.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j = -13*j - 105 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 + 2*d + 2. Give j(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9791063 to the nearest integer?\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -120. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4736 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - b**3 - 2*b**3)*(1 - 3*b - 1) + b**4 - 5 + 5.\nAnswer: 19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 - h + 30. Let p be o(-6). Let f(y) = -150*y + p*y + 81*y. Let u(j) be the second derivative of -7*j**4\/12 - 2*j. Determine f(u(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4 + 35*y**3\/3 + 35*y**2 + 15*y - 28\/3 = 0?\nAnswer: -7, -4, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 72190, -2, -4, 9 in descending order.\nAnswer: 72190, 9, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 6. Let q(i) = 7*i. What is l(q(u))?\nAnswer: 49*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40937 divided by 53.\nAnswer: 40937\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12.6. Let r = -3.6 + l. Which is the third smallest value? (a) 0.5 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*n - 2 - 1 = 0, -1 = 3*b - n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/2 - (-1 + 1). Let h be (-4)\/w - (-308004)\/(-22). Round h to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h**2 - 3*h - 1. Let u = -46 + 49. Let x be (-3)\/(u - (2 + (0 - 0))). Give p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2*m + 24*m)*(11 - 17 + 12) - 2 + 2 - m to c*m + h and give c.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1563252 = -1563251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 3*h + 4, 4*h = -3*b - 6. Calculate the smallest common multiple of -16*b\/4*2 and 16\/(-3)*(-8)\/(16\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -275, -264, -241, -200, -135, -40?\n\"Answer: j**3 + 4*j - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 438535792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 + 320. What is the fourth smallest value in q, 2, 1\/14, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 303\/2. Which is the biggest value? (a) 5 (b) -2 (c) 1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 90. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 1. Let v(n) = -3*n - 14. Determine g(w) - v(w).\nAnswer: -w**2 + 3*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7326 + -146483\/20. Suppose 2*m - 4*m + 5*b = 4, 0 = 5*m - 5*b + 40. What is the common denominator of ((-267)\/(-20))\/(m\/(-10)) and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5716693, 5716689, 5716685, 5716681, 5716677, 5716673?\nAnswer: 5716669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 3\/2*(-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2096809.84 to the nearest 100.\nAnswer: 2096800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 370, 537, 702, 865?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 4*t**2 - 3*t + 1. Let f be h(-2). Solve 2*k + f = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0*n + 0 + n**3 - 8*n**2 - 7 - 9*n. Let p be h(9). Let l = p + 21. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 10201770?\nAnswer: 51008850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.67 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 17*t**2 + 69*t + 14. Is q(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**32\/(q\/(q**(-2\/13)*q*q)*((q\/(q**(-4)*q*q))\/q*q)\/q)*(q\/q**(3\/8)*q**4)**(4\/19) assuming q is positive.\nAnswer: q**(-89\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 14146 = -607*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 17*z - 117. Give o(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/f**(-5\/6)*(f\/(f\/(f\/((f\/(f\/f**(-4)))\/f))*f))\/f*f**(-6) assuming f is positive.\nAnswer: f**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l - 3*l + 2*l)*(3*l**2 - 6*l**2 + 2*l**2) - 2*l**3 - 18*l + 32*l - l)*(0*l - 3*l + 2*l).\nAnswer: 4*l**4 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 799 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14736768 divided by 4912256.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40454 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 618203, 1236407, 1854611, 2472815?\n\"Answer: 618204*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -769 * -41718\nAnswer: 32081142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 51 + 146*d - 735*d + 22.\nAnswer: -589*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -213*(3 - (-10)\/(-3)). Let w = b - 16. Let s = 79 - w. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/858917?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 1.2. Let y be 1*3*20\/(-12). Which is the nearest to 0? (a) h (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/28)\/((-5)\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152660845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 8*u - 7. Let p(o) = -o + 1. Let y be p(-6). Is l(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210872 by 52718.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5, -5*l = -2*r - 4 - 31. Suppose -3*f - 50 = -l*f + y, -y - 74 = -3*f. Solve 2*z = -4*h + 10, 4*h = 2*z + 6 + f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.4 in 2, 0.01, -5.178?\nAnswer: -5.178","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.4 (b) -6 (c) -22\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -203026273.2.\nAnswer: 203026280.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 6. Let c be (-68)\/6 + 4\/12. Let i be g(c). Suppose 4*a - i*d - 19 = 0, 0 = 5*a - 2*d - 7 - 4. Sort -2, -1, a.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87861081?\nAnswer: 3, 7, 11, 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 2*g + 223. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1088) + 3 - (1*sqrt(1088) + -5)) + 2*sqrt(1088) + 0 + 3 + sqrt(1088) + 1)**2.\nAnswer: 480*sqrt(17) + 9892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5354198659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5150 - 6490 = -4*z - 5*v, 5*z - 14550 = v. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/10 (b) -13 (c) 36.6 (d) -3 (e) 1\/4 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1881, 1877, 1873, 1869, 1865, 1861?\nAnswer: 1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + (-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311821 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/4 (c) -2 (d) 4 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 8. Let v be 0\/((4\/2)\/2). Let n be l(v). Let q = -7 - n. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 702, 703, 704, 705, 706, 707?\n\"Answer: o + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 307858 and 3386436\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1932)\/189*2 - (-28 + 8).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0397, 1, 5, 0 in descending order.\nAnswer: 5, 1, 0.0397, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16504 - 16499. Solve -w*s + 7 = -3*f - 10*s, -s - 12 = -10*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2057) - ((sqrt(17)*-3 + sqrt(17))*-4 + sqrt(17)).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1828.183 and 1661378?\nAnswer: 1659549.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42. Suppose 5*d + o - 1006 - 495 = h, 4*d - 3*o - 1197 = 0. Is 50 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-1000)\/30)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 26710.\nAnswer: 26710.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2 - -107) + (-225 - -224)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s + 31*s + 12*s)*(3 + 0 - 1)*((2 + 4 - 5)*(-2*s + 3*s + 0*s) + 7*s - 3*s - 2*s + 1 - 1 + 2*s).\nAnswer: 320*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000443 rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 4098*t\/7 + 32912\/7.\nAnswer: -2*(t - 2057)*(t + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (546\/(-108) + 1\/9) - (-377)\/2574.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 31*d + 10*d**2 - 19*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9179, -9189, -9213, -9257, -9327?\n\"Answer: -u**3 - u**2 - 9177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4\/4 - 497*m**3\/4 + 1062*m**2 - 405*m.\nAnswer: m*(m - 90)*(m - 9)*(5*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + j - 4 + 5*j. Let c be f(3). Suppose 0 = 3*d + 3*l + c*l - 121, 2*d - 82 = -3*l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.999, 0.5, -6559, 2\/7, -1 in ascending order.\nAnswer: -6559, -1, -0.999, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 1. Suppose 0*o + 3*o - 9 = 0. Let f be t(o). Let z be (1 + f\/2)*0. Solve -x = 2*u - u + 4, 4*u - 3*x + 23 = z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 less than -4634048273722?\nAnswer: -4634048273596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 161?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -98*v**2 + 3285*v - 951. Let p(s) = -65*s**2 + 2190*s - 635. Let r(b) = 5*f(b) - 7*p(b). What is o in r(o) = 0?\nAnswer: 2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1343 + 1349. Solve -4*l = 5*s - 19, 2*l + 4*s + 4 = w*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1824, -1985, -2254, -2631, -3116?\nAnswer: -3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14266*g - 14282*g = -43280. Is g a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10219*f + 20 = -10221*f - 3*m, 3*m + 34 = 5*f. Suppose -3*q + 6 = -6. Solve 2*o + q*u + f = 5*o, -10 = 3*o + 2*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*n + 55 + 300*n - 153*n.\nAnswer: -n + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 1116, 4, -3 in descending order.\nAnswer: 1116, 4, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -q + 31, q - 6*q = -y - 179. Suppose -4*a = -0*a - q. What are the prime factors of 2330\/15 - 3\/a?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1 - (-1)\/(-2)). Let f(o) = 4*o**2 + 4 + 16452*o**3 - 16453*o**3 + o**2 + o - 2*o**2. Determine f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -15. What is the remainder when ((-30)\/4)\/(o\/80) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x - 5 + 5)*(-2*x + 233461 - 233457 - 2*x**2 + 12*x**2).\nAnswer: -60*x**3 + 12*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 8*p**2 + 4*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 2*h**2 - h. Let k(n) = -n**2 - 9*n - 2. Calculate the remainder when w(-2) is divided by k(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 3*x - 4*x)*(-3 + 0 - 12) in the form j*x + s and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (1 - (-77)\/1). Suppose -3*v + a = -4. Let q = -10 + v. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -174255?\nAnswer: -174254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*x - 77*x - 3840. Is x at least as big as -642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 98663.5723.\nAnswer: 98663.7723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/3 - 19114*j - 114692\/3 = 0. Calculate j.\nAnswer: -2, 28673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, c: 4, k: 3}. Give prob of sequence kn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257074206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -21 + 10 + (-9 - -6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1005443 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 85. Let v be 3\/(-2) - (396\/32)\/(-9). Put -0.5, v, s, -2\/3 in increasing order.\nAnswer: -2\/3, -0.5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3\/4, -5, 0.82?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10012211 (base 5) to base 8\nAnswer: -232320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*j + 402, -3*z - 1 + 4 = 0. What are the prime factors of j?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let t be ((-33)\/99)\/(19\/18). Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grfirgfggrgrffrr. Give prob of sequence ggf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41\/22 (b) 0 (c) -125\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32388 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 t when four letters picked without replacement from tdvudtdtdt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 8. Let a(n) = 0*n**2 + 4 + 3*n - 5*n + n**2 + 8*n. Let t be a(-5). Let g = t + 1. What is p(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 8) in base 11?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - 19.16. Let i = -19.1 - h. What is the nearest to 1 in i, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 490637712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -503 or -1\/4960?\nAnswer: -1\/4960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.952 - -0.048. What is the smallest value in r, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b9217 (base 12) in base 15?\nAnswer: 9b027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(44)\/sqrt(4)*1)*3 + 3.\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5435 - 3061. Suppose v = 2*u + 32. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -6408567\/2?\nAnswer: -6408567\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.06 * -5\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o + 331 = -347 - 198 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*w**5\/2 - 51*w**4 - 26*w**3 - 4*w**2.\nAnswer: -w**2*(3*w + 2)**2*(7*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109049 + 1634926\/15. Which is greater: r or -55?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267511 is divided by 33422?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2558*a**4 + 304*a wrt a.\nAnswer: 30696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 507 + -503. Let c(a) = 106*a**2 - 3 + u*a - 6*a - 105*a**2 + a. Determine c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 2:21 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22948.2 decades to millennia.\nAnswer: 229.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281975085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(((((w\/w**(-5\/4))\/w)\/w)\/w)\/w)\/w*w*w)\/w**(-7\/4)*w**10\/w**(-8\/7))**(2\/113) assuming w is positive.\nAnswer: w**(184\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2 + sqrt(1100) + -3 - (-1 + sqrt(1100) + -2))**2 + (sqrt(1100) + -1 + sqrt(1100) + 4 + -2)**2)*-5.\nAnswer: -22023 - 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1210*v**2 - 4*v - 22. Is 85 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 3}. Give prob of sequence owoo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 69. Let u be (-993)\/(-111) - (-12)\/222. Calculate the greatest common factor of c and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let v(f) = -f**3 - f**2 - 4*f - 1. Let l(n) = -3*n**3 - 3*n**2 - 9*n - 3. Let b(r) = -2*l(r) + 5*v(r). List the prime factors of b(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 718025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 7 = 2*p + 3*r, -4*p + 2*r = -26. Suppose 0 = -z - 1, -k + p - 5 = 5*z. Put 7\/2, 1\/6, 0.1, k in descending order.\nAnswer: k, 7\/2, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (6 + -7) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 34*r + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -8.3. Let y = -10 + k. Let x = -1.7 - -2. Which is the nearest to 2\/5? (a) -1\/3 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 - -4. Let n = i + 3.2. What is the second smallest value in n, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-10))**(-38)*h\/((h*h**(-12))\/h)*h**(-2\/31) assuming h is positive.\nAnswer: h**(-12557\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 248 + 122 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/4 + 31715*d + 634325\/4 = 0. What is d?\nAnswer: -5, 126865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 divided by -4?\nAnswer: -1145\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 90, 138, 188?\n\"Answer: u**2 + 43*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 353 and -0.2.\nAnswer: -70.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 8 = 40*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k + 20 = 57*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27737939863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/8, -4, -1, 5 in ascending order.\nAnswer: -4, -1, 7\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - 1) + (107 - 107).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1924*p + 4. Let m be z(-1). What is m rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 24 = 3*b. Let d be -1 - 2\/((-4)\/b). Suppose y + d*y = 3. Which is smaller: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 14. What is y(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -124, 2\/3 in ascending order.\nAnswer: -124, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461688811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9236 - 3.9. Let w = 1.9764 + u. Which is the closest to w? (a) 3\/7 (b) 3 (c) -0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 52*n**4 + 68*n**3 - 5*n**2 - 2*n + 14*n**5 - 25*n**2 - 2*n**2.\nAnswer: 2*(n - 1)**4*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - 5*q**2 + 3*q + 3. Let h be l(2). Is (-1)\/(h\/4102)*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1396288, 1396283, 1396256, 1396195, 1396088, 1395923?\n\"Answer: -2*m**3 + m**2 + 6*m + 1396283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-2))\/((-6)\/(-30)))\/(145*41\/28536)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-29)\/3 + 3)*(-3)\/2. Let c(v) = -2*v. Let i be c(-2). What is the highest common divisor of i and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18987142 divided by -379\nAnswer: 50098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 + 14*j**4 + 13*j**2 + 13*j + 18 wrt j?\nAnswer: 40*j**3 + 168*j**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583296 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 greater than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -31\/6*b**3 + 0*b**5 + 0*b + 0*b**4 + 0 + 0*b**6 - 10*b**2 - 2\/21*b**7. Find the first derivative of v(l) wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 463.22.\nAnswer: 455.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (8 + 12 - 24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 3*x + x)*(9*x - 51 - 52 + 104) as k*x**2 + q + z*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 54*h - 51. Let c be d(26). Suppose 0 = -3*g - 3*p + 6, c + 9 = 5*g - 2*p. Solve -y - g = 0, 5*t + 4*y = 2*t - 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 10 - 12. Let l(w) be the first derivative of -w + v + 3\/2*w**2. What is the derivative of l(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 9*s**2 - 31*s - 5. Calculate the remainder when 152 is divided by k(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 1. Suppose p + 0*p = 4*b - 3, -2*b + 5 = 3*p. Let v(h) = -4 - 3 + b + 7. Calculate -2*k(s) - 3*v(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 870*x + 2693. What is n(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 times -204998?\nAnswer: -206842982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213)\/(130356\/544)*(-39)\/(-8).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, n: 3, j: 2, e: 2, f: 3, b: 4}. Give prob of picking 3 b and 1 s.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 - 1. Let r be x(-1). Solve -5*p - 24 = -3*q, 3*p = -r*q - p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + (4 - 4) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8 and 1281\/3630 - (-7)\/(-35).\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 3*t - 104*t.\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.38 (b) -0.1 (c) 2\/3 (d) 1 (e) -12501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 32*v + 5. Let a = -696 - -697. Calculate k(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 21*f**3 - 89*f**3.\nAnswer: -55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-138))\/((126\/(-693))\/(((-192)\/(-44))\/(-4)))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*a - 12 = 1, -1114*p - 4*a + 8 = -1110*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2913.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 - 16232*d\/3 - 26765840\/9.\nAnswer: -(d + 556)*(d + 48140)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-16 - 6) - (35 - (11 - -140)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 31. Let z = 25.00000068 - p. What is z rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, -50, -47, -44, -41?\n\"Answer: 3*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 13 - 2. Suppose 65 + i = 3*z - 4*g, -2*z - 3*g = -58. Suppose -w + 0 + z = 0. What is the greatest common divisor of 65 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/315*(-462)\/(-847)*11.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 14 - 34. Let i(x) = -x + 4 - 3 + z - 1. Determine i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-10)\/(-44)*6*777\/(-3885))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5254, -9858, -13114, -14344, -12870, -8014?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -20, -48, -96, -170?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-21) + 20\/35. Suppose 5*s - 2*a = 703, -3*s + v*a - 3*a + 424 = 0. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 7 = 4*i + 4*w, 0 = i - 5*w - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 - 339\/(-452)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.693 - -3.593. Which is the closest to -2\/9? (a) i (b) 4 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 12. Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10500 and 2383850?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37164, 37247, 37350, 37473, 37616, 37779, 37962?\nAnswer: 38165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 5 + 0 + 2 + 0 + (1 + 2 - 1)*(-1 + 6 - 4))*(-121 + 121 + 2*t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 602 = -458. Let h = 402 + d. List the prime factors of h.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 62*w**2 - 5*w - 2. What is the units digit of p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.342 + -0.058. Let y = -1 - -1.2. Let c = y - 2.2. What is the nearest to c in -4, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/27)\/s*s*s\/s**(-3))\/(s**(-2)*s*s**3)*(s*s**(-1\/4))**(-30)\/(s*s**(-7)*s\/(s*(s\/s**5)\/s*s*s)) assuming s is positive.\nAnswer: s**(-949\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-30) + -2)\/((-2)\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.5 + 5.5. Let z = p - -54.105. Let k = z - 0.005. Put 0.3, k, -2\/5 in increasing order.\nAnswer: -2\/5, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-6)*(2 - 20). Suppose 1 = -5*t + 11. Suppose t*h + 0*h = r. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(80\/6))\/((-912)\/(-128)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1339, -2, -1, -50.\nAnswer: -50, -2, -1, 2, 1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, q: 10, a: 1}. Give prob of picking 1 f and 1 l.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from ptftjldtfptftflf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -cca89f0?\nAnswer: -cca89f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((132\/(-88))\/(-1*1))\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 18 - 5)*(22 + 26 - 4 + 19)*(-3 + 3 - 3*f).\nAnswer: 7182*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 = -4*f - 95. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*p**2*z + 22*o*p**2 + 3*o*p - 10*p*z - 2*z wrt p?\nAnswer: -2*o*z + 44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 1129*n**8\/112 - 959*n**5\/60 + 1446*n**2. What is the third derivative of z(t) wrt t?\nAnswer: 203220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {x: 1, u: 2, d: 1, j: 1, a: 1, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s - 51*s = 28. Let m(f) = 6*f + 1. Let b be m(1). What is the highest common factor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:31 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*m + 40 = 458*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -143799051 divided by 15983\nAnswer: -8997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 32. Calculate s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.4 (b) 1 (c) -2\/3 (d) -2\/9 (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/6 + 2770*q**4\/3 - 2656175*q**3\/2 + 135139125*q**2 = 0.\nAnswer: 0, 110, 2715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21830 and 18.\nAnswer: 196470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1370.5 - -1750. What is s rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 450*n + 900. Calculate y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 12*p**2 - 3*p - 2. Let x(a) = -a**2 + 2*a + 5. Let v be x(4). Is r(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 188*f**2\/11 - 2*f\/11 - 188\/11.\nAnswer: 2*(f - 1)*(f + 1)*(f + 94)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*d = 67*d + 152*d + 99041 + 5605 for d.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 - 4. Let a(x) be the first derivative of x**3\/3 - x + 118. Let s be -2*(-2 - -2 - -2). Determine s*a(t) + z(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/3)*t**14*(t**(6\/5))**(1\/43) assuming t is positive.\nAnswer: t**(9263\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.389 + 1.4. Round b to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 19. Let n(b) = 568*b + 1386. Let l(r) = -4*j(r) + n(r). Differentiate l(s) wrt s.\nAnswer: 572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and -37\/10592.\nAnswer: 10592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-2) + (-3)\/(-3). Let n be ((-12)\/b)\/((-12)\/30). Let m(i) = -i - 3*i**2 - 4*i + 4*i**3 - n*i**3 - 3. Determine m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -2.2. Let r = -10 - -11. Which is the third smallest value? (a) o (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25 + 2*s + 50 - 25. Let y(k) = -18*k**2. Determine y(h(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-7))**(-2\/3))**(-36))**(-32) assuming w is positive.\nAnswer: w**5376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -12. What is the common denominator of (404\/(-20))\/((-8)\/p) and (-2)\/(-3) - 50\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -254, -3, -18.962, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38408, 38050, 37668, 37250, 36784, 36258, 35660?\n\"Answer: -2*x**3 - 344*x + 38754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*5\/(-20))\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(3)) + -5)**2*-4.\nAnswer: -112 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2557*g**2 + 35*g + 97. What are the prime factors of k(-4)?\nAnswer: 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/24 - l**5\/3 + 10*l**2. Find the third derivative of a(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5 + 15 = 0. Let n = -3\/5 + 11\/10. Which is the third biggest value? (a) 1 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 197 = 3*w, 4*w - 2*n - 231 + 3 = 0. Let z(h) = h**2 - 9*h - 22. Calculate the remainder when w is divided by z(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4082 is divided by 406.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/18492 and 139\/6624?\nAnswer: 443808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 + 6168*h**3 - 3170352*h**2 + 543186976*h = 0. What is h?\nAnswer: 0, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99 + -13 - -30) + 37?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 780 divided by -15733\nAnswer: -780\/15733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -a + 114597, 0 = 3*m - 5*a + 252536 - 80651. What is m rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -226. Suppose 4*d + 2*a - 196 = 0, x = 3*d + a - 9. Calculate the greatest common divisor of d and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:24 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 23*s - 131326. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**2 + 0 - 1\/4*n**4 - 2\/5*n**5 + 24*n + 38\/3*n**3. Find the second derivative of w(l) wrt l.\nAnswer: -48*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 = 450*d - 343 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/4)\/3*-4. Suppose 0 = -5*y + 5 - 0. Let p be 2 + (2 - 2\/y). Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -0.87 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:39 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.03, -2\/13, -2\/5 in increasing order.\nAnswer: -0.5, -2\/5, -2\/13, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109125532.\nAnswer: 2, 27281383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (5 - (6 - 10 - -14)) - -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 13*k**6\/6 - 8*k**2 + 14. Find the second derivative of i(o) wrt o.\nAnswer: 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 3*i**3 + 2*i**3 + (-5*i**2 + 3*i**2 + i**2)*(5*i - i - 5*i) + 4 - 6 + 3*i**3 + 0*i**3.\nAnswer: 6*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.48 + 0.3. Let t = j - 0.02. Let n = -2 + 1.6. Sort t, -1, n.\nAnswer: -1, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -18*j**3 - 2*j**2 + 2*j - 6. Let p(h) = h - 1. What is -i(f) + 4*p(f)?\nAnswer: 18*f**3 + 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1035.147566 and -0.3.\nAnswer: 1034.847566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20*v + 58. Let t be l(3). Let f(w) = -2*w**2 + 3*w. Let o(q) = 6*q + 7. Let i(u) = 5*u + 6. Let s(p) = -7*i(p) + 6*o(p). Determine t*f(c) + 6*s(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.182 + -1.582. Let o = 0.02 + 0.06. Which is the closest to 1? (a) o (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -17\nAnswer: 31\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2) - 5\/10. Suppose -k + y = -9. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.706 + -10.86. Let y = 0.715 + g. Let k = y + -0.011. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*c - 134788 + 34116. Solve 0 = 9*y + 959 - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 505924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*l**3 - 2183*l**2 - 21 + 3*l**3 + 2186*l**2 in the form x + f*l + b*l**3 + w*l**2 and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5437826 is divided by 684.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188 + 5*a**2 - 1188.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2 and -73\/10890699.\nAnswer: 21781398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 57*o - 2. Let x(j) = 15104*j - 531. Determine -531*u(h) + 2*x(h).\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5654.647 meters?\nAnswer: 5654647000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*d - 3*v, 3*d - 2*v + 3 = 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-10))\/(29\/145). Solve -n*j - 10 = -c, -2*c - 2*j = 3*c + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 97129*k - 97138. Calculate c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 5053870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 413347 times 0.03?\nAnswer: 12400.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -42. Suppose -q*y - t + 45 = 0, -y + t + 12 + 9 = 0. Suppose -n + 4*n = 6. Solve -n = s + 2*h - 3*h, 4*s + 3*h + y = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-35))\/(4\/(-21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8*p + 48 = 10*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 - 5*n - 7. Let b be s(7). Let t be (1 + b - 2) + 2. Solve 3*q + z = t, -4*q - 2*z + 3 = -5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z*z**3)*z)\/z)\/z**(-4\/15))\/(z**(-2\/9)\/z*z\/(z*z**(-8\/9))) assuming z is positive.\nAnswer: z**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 - 1\/15*r**6 + 0*r**4 - 3\/10*r**5 + 4\/3*r**3 - 58*r + 0*r**2. Factor x(q).\nAnswer: -2*q*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8150.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 998*w**2.\nAnswer: -998*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 4 = 4*j, -2*p - 27 = 2*p - 3*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-74 - -8)) + (-27 - -18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.8282 and -136220.\nAnswer: -136207.1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**2 - 7*c + 15. Let s(n) = 2*n**2 + 7*n**2 + 8 - 2*n**2 - 3*n**2 - 3*n. Let l(h) = -3*r(h) + 5*s(h). Let j be ((-6)\/(-7))\/((-6)\/(-28)). Give l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -577, -3.\nAnswer: -577, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 462 from 308.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:10 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -17 (b) 3\/2 (c) -1 (d) -106 (e) 0.5 (f) -6\/167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*c = 4803 - 2771 + 2598 + 4010 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:17 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 401 and 0.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66220)\/1947 + (-254)\/(-22479)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9)*(11 - -1). Let l be 26\/(-6) + (-17953)\/(-4143). Suppose 4*w - 3*t - 7 = 0, 0 = 2*t - t - 3. Solve v = 4*i - o, -2*i - 4*v + w + l = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a + 14. Let c(z) = 4*z**2 + 4*z + 80. Determine -c(x) + 5*w(x).\nAnswer: x**2 - 9*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1776 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154 * -11.\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -6 + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -450, -1855, -4196, -7473?\n\"Answer: -468*n**2 - n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*n + 16. Suppose -2*x - n*b = -3*b + 14, 3*x + 5*b = -11. Suppose -2*w = -12*w + 20. Solve -x*m = w*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 2 + 0 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3279535*d**6*x**3 - 2*d**3*x**3 - 802*d**2*x**3 + 2*d**2*x - 2*d*x**3 - 585*d - 2*x wrt d.\nAnswer: 393544200*d**3*x**3 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -168. Let t = -822 - -853. Calculate the remainder when q is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) 0.4 (c) -1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 19*q**4 - 1 - 15*q + 12*q**4 + 6*q**4 in the form j*q**4 + r*q**3 + m + g*q**2 + d*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2120 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30837.63 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 + 556940*s**4 - 15506880245*s**3 - 124083447450*s**2 - 201644026380*s - 93068016120 = 0.\nAnswer: -6, -1, 55698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 e when four letters picked without replacement from ezzeezzzzeeezezzzeze.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -96*q - 945. Let g be m(6). Which is bigger: g or -1520?\nAnswer: -1520","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*v**3*w**2 + 6*v**3*w + v*w**4 + w**4 - 10*w wrt w?\nAnswer: -44*v**3 + 12*v*w**2 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcccccc. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = -v - 60, 4*g - 2*v + 34 = 0. Calculate the remainder when 568\/22 + (-2)\/g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/3 + 2*g**4 - 6*g**3 - 46*g**2\/3 + 16*g + 24 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/3, 6, 1.\nAnswer: -8, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11283941 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: What is the square root of 538619194 to the nearest integer?\nAnswer: 23208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/g**(-19))))\/(g**18\/g))\/(g*g\/g**(2\/3)*g**(1\/3)\/g))**(1\/32) assuming g is positive.\nAnswer: g**(7\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 + 3 - (-4 - -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 352253, 704511, 1056767, 1409021, 1761273, 2113523?\n\"Answer: -o**2 + 352261*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3750*b*i**3 - 2*b*i**2 + 2*b*i + 45*i**2 wrt i?\nAnswer: -22500*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6)**3\/(g**(6\/5)\/g**(-10)) assuming g is positive.\nAnswer: g**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93b - b4?\nAnswer: -9ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(-23)*u**(-3\/2)*u**(-3\/5))\/((u*u\/u**(-2\/5)*((u*u**(1\/7))\/u)\/u)\/((u*u**(2\/17))\/u**6)) assuming u is positive.\nAnswer: u**(-2029\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c1e - 5?\nAnswer: 1c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 134950976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 9512.\nAnswer: 9511.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-8) + 1\/4. Suppose -4*t - c = t, -d*c = 4*t. Suppose 3*z - 21 = -t*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 17. Suppose 0 = -x - 7*x + 64. Let d be p(x). Suppose 0 = 4*o + d*o + 78. Is o at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, i: 4}. What is prob of sequence jjii?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - 0 - (-11 - -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 730763193 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8139 and -0.1035.\nAnswer: -0.08423865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*f, -14*v + 10*v + f = -30 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 22005\/72 + (-12)\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36329 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 101348*f**4 - 1283217310*f**3 + 17989880900*f**2 + 62950643712*f + 43677646848 = 0. What is f?\nAnswer: -25344, -2, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 99*v**2.\nAnswer: v**2*(v + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 6*d - d + 8 - 60, 0 = 4*d. Let b(c) = -c**3 - 4*c**2 + 5*c + 1. Calculate the remainder when y is divided by b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7098, 7928, 9312, 11250, 13742, 16788, 20388?\n\"Answer: 277*r**2 - r + 6822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(-6225 + 12458 + 3200*f - 6235 + 2*f**2 + f**3) - 2*f**3 + 1 - 1 in the form j*f**2 + y*f**3 + s + t*f and give t.\nAnswer: -6400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.18 - -1.68. Let i = 12 - 17. Sort p, i, -0.3, 2 in ascending order.\nAnswer: i, -0.3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i - 52. Let s(l) = 6*l**3 + 2*l**2 - 3*l - 4. Let d be s(-1). Let z be o(d). Calculate the greatest common divisor of 342 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by 2.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.06, -0.1, 5, -2\/19 in increasing order.\nAnswer: -2\/11, -2\/19, -0.1, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.1316 (b) 0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -58.6. What is the biggest value in -0.5, c, -1, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581028657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 2*h. Suppose 0 = 4*i - h + 4, -4*i = 4*f + 4. Suppose -t = 4*q + 4, f*q + q + 27 = 3*t. Let o(d) = -d**3 + 8*d**2 - 2*d - 2. Determine o(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359200 (base 10) to base 11\nAnswer: -225966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z - 1. Let b be d(-5). Suppose 0 = -3*m + 2*m - 4*t + b, -9 = -5*m - 2*t. Put -2, m, -5 in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 6*v + 5. Let g(t) = -t - 1. Let l(b) = -625*b - 626. Let j be l(-1). Give j*w(m) - 4*g(m).\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 40 = -37. Let v = q - 14. Let j = -282 - -286. Sort 1, v, j in descending order.\nAnswer: j, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5919117155 to the power of 1\/2, to the nearest integer?\nAnswer: 76936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -88. What is the highest common factor of 45 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-8) + 6\/(-8))*-1 - (-3760)\/(-600).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22856 and 46?\nAnswer: 525688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrfgvrvgvgk. What is prob of sequence rk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151.49 + 153.89. Let d = 8.3 - 8. Is d less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1611127 nanograms in kilograms?\nAnswer: 0.0000000000001611127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2779 - 8810 = -37*s. Suppose s*b**4 - 14*b**2 + 56*b**2 - 166*b**4 + 36*b - 39 - 36*b**3 = 0. What is b?\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15088, -30180, -45272, -60364?\n\"Answer: -15092*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 1, 0, -1\/6, 0.69, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3da33 (base 15) in base 11?\nAnswer: 125884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 3*c + 1. Let n = 7 - 6. Let k(p) = 1. Let a(g) = n*d(g) - 6*k(g). Let i(s) = -2*s**2 + 2*s + 3. Calculate -3*a(f) - 5*i(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 13*l - 41. Let y(n) = -n**2 + 3*n + 10. What is -2*k(x) - 9*y(x)?\nAnswer: x**2 - x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41164*b - 41153*b + 154 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcwwwwcwwwuxwwcce. Give prob of sequence ceww.\nAnswer: 11\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:30 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*c + 2, 3*c - 4*c = a. Let n = 44 + a. Round n to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k*k\/k**0*k))**25\/(k**2\/(k**4*k*k)) assuming k is positive.\nAnswer: k**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34584.99883585 - 34585. What is z rounded to 6 decimal places?\nAnswer: -0.001164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5391063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28244 and 44?\nAnswer: 310684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5912 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*l - o, -5*o + 0 = -5*l - 5. Let b = l - -10. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:30 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 34. Suppose -4*a + r = -6*a. Let h = 8 + a. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -17 - (-198 + 205 - (2 + -1 + 7)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Suppose -5*z - 4*r + 20 = 0, -z - 5*r + 3 = -1. Suppose 0 = 4*n + 4*o - 24, 0 = -0*o + z*o - 20. Let j(a) = 2*a + 2. Calculate n*m(b) + j(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002194 rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 9 - -3*(-2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.64. Let f = q + -0.04. Put 4, f, -5 in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:24 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(1\/2)*g)\/g)\/g)\/g*g)\/(g*g*g\/g**(-1\/79))*(g**(-1\/18))**29 assuming g is positive.\nAnswer: g**(-2932\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-2275)\/3000))\/(14\/91)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*j + 71*j - 5*j**2)*(-j + j - j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b + 9 = 3*r, 2*r + 3*b - 1 = 0. Suppose -4*z + r*i + 4 = -38, -34 = -3*z + 2*i. Solve v + 1 = 2*p, p - z = -0*v - 2*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 9*a**2 + 8*a + 3. Let t be d(8). Suppose -t = -r - 5. Let v(i) = -i**3 - i**2 - 3*i - 2. Calculate the remainder when 22 is divided by v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963166 is divided by 481570.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -166*c**2 - 16*c + 26. Let m(b) = 33*b**2 + 3*b - 5. Let l(p) = 3*k(p) + 16*m(p). Differentiate l(w) wrt w.\nAnswer: 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 4 = -13*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/78 and -46\/221.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 28*k**2 - 27*k - 28. Give o(27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.9 + -52. Let s = -53 + 53. Which is greater: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 599324 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1814, 6939, 15488, 27467, 42882?\nAnswer: 61739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2017284 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 6. Let j(k) = 2*k**2 - k - 2. Let l(z) = -2*j(z) + q(z). Calculate l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = j + 925, 814 = 5*m + j - 121. Suppose 0 = f + 107 - m. Is f at most 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38708643 - 1.4?\nAnswer: -38708644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00630866 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-19)*j)\/(j**(-2\/31)*j)*(j**(8\/7))**(-34))**(-1\/68) assuming j is positive.\nAnswer: j**(12541\/14756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 1352*y + 14473. Give c(-11).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1648)\/136 - 4\/(-34). Sort b, -5, 3 in decreasing order.\nAnswer: 3, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 2*s**3 + 60*s**2 - 151*s**2 + 108*s**2 + 3*s**3 + 79*s**2.\nAnswer: s**3 + 83*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8150 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = y - 28*a + 33*a, -3*a = -114*y + a - 5*a + 797 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 0*k**2 - 2*k**2 + 38 + 0*k**2.\nAnswer: -6*k**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 5*d - 4*d + 5*d - 9*d**2 to the form w + v*d**2 + f*d and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 4*o**2 + 2*o + 14. Let g be b(-3). Is 19\/19 - (-1037 - g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*v + 156 - 673 + 1717 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {p: 4, i: 1, e: 2, z: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:26 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32408*m*z**3 - 2*z**3 - 30*z**2 + 37*z wrt m.\nAnswer: 32408*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = -8, 5*k - 43 = 2*i. Let x(q) = -q**3 + 6*q**2 + 6*q + 10. List the prime factors of x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44996 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.92 - 0.08. Let n = -2 - -1.7. Let f = -2.7 + n. What is the closest to t in -2, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31248 divided by -496?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690*w**4 + 2*w**3 - w**2 - 62121*w wrt w?\nAnswer: 8280*w**2 + 12*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7914 (base 12) to base 7.\nAnswer: -54043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/57481 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -85 + 21 + 37*b + 3*b - 8*b. What is the remainder when d(5) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/8*1\/5. Is z smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -33. Solve -q*d - 15 = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 3\/1*(-98)\/3. Suppose g - 308 = -4*d. Suppose -753 = 2*z + 4*h + d, 3*z + 1184 = -h. Round z to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -6. Let a(p) = -4*p - 4*p + s*p - 2*p. Let z be 3*((-352)\/6)\/(-22). Give a(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*m**2 + 791*m**2 + 63*m**3 + 108*m**3.\nAnswer: 171*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -244*m + 1750. What is b(7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 w when four letters picked without replacement from mrwwrwmsmmmrm.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 915*x + 14961*x + 20610*x as p*x + c and give p.\nAnswer: 36486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 202.5294 kilograms?\nAnswer: 202529400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262 + 255. Let i = 1.8 + t. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 4*i, -4*i - 4*l = -23 + 7. Suppose 5*r = -0*r + 2*j + 22, 0 = -4*r + 3*j + 19. Suppose 0 = r*t - 9*t. Solve -5*n - 5 + t = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1264 or 2529\/2?\nAnswer: 1264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*c**2 + 3*c**3 - 13*c**3 + 5*c**3 + 3*c**3 to the form t*c**2 + v + n*c**3 + z*c and give t.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6194*s**3 + 1052 + s**2 + 887 - 2*s**2 + 0*s**2 + 1756 wrt s.\nAnswer: 37164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197467 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16447 is divided by 3125.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 7. Let q be 1071\/117 + l\/13. Suppose -11 = -4*j + q. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 - 9*n**2\/2 + 6*n - 1. Let j be x(9). Suppose 6*h - j = 4*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21979.21l?\nAnswer: 21979210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22752 or 22747?\nAnswer: 22752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + -5 + (-3 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 33.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -93. Suppose 3*g - 5*p + 47 = 2*g, -4*g + 4*p - 204 = b. Sort -3, 5, g in decreasing order.\nAnswer: 5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 13*y - 34. Let a be l(4). Let n be a*(-4)\/8*18. Sort n, -1, -4.\nAnswer: n, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1548 and 1404.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 15*w**2 + 3*w + 10. Is 19 a factor of y(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173241 is divided by 6666?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133.06 + -133. Let c = 0.055 - 0.055. Let a = c - -2. Which is bigger: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389 (base 10) to base 5\nAnswer: -3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13908579 divided by -2609\nAnswer: -5331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -199 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = -63*s + 1496 + 142. Calculate the least common multiple of 1392 and s.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, d: 2, h: 6, q: 3}. What is prob of sequence qddq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*o**5 - 4*o**4 + o**3 + 340*o**2 + 44*o wrt o?\nAnswer: -5880*o**2 - 96*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1493 - 1493.1. Let u be 4 + -1 + 1 + 0. Suppose 2 = 3*f + 2*m, -f + 2 = -2*m + u*m. Is f at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*g + 173*g - 588 = 132 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 35 - 6*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/263 + 44965\/2104. Is 21 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551118 is divided by 1104.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 4, g: 6}. Give prob of picking 1 s and 2 g.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/4)\/p)\/(p*(p**(-16)*p)\/p*p)*((p*p\/(p*p\/(p\/p**(-19))*p*p)*p)\/p)**(-1\/6) assuming p is positive.\nAnswer: p**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04773 + 0.048. Round k to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 31 = -3*a. Let h(y) = -12*y - 9. Is h(a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 + 7*h + 2. Let k be x(-7). Suppose -30 = -k*w + 4. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/((-84)\/(-12)))\/((-8)\/4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502639 is divided by 240.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 less than -2676?\nAnswer: -2675.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/10 - 4\/(-1). Let h be 7\/(o\/16) + -6. Solve -h*y + 15*y + 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32401 - -53993. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 52*a + 284. What is x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 14*t**2 - 4*t - 13*t**2.\nAnswer: -29*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*c - 3065*c + 45924 + 37733 = 12284 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddaavdddddvvvv. What is prob of picking 1 a and 1 v?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwhwh. What is prob of sequence wwh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1513 - 1512. Let h be 101\/206*-2 - -1. Is r > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Suppose 0 = -2*x + 5*x. Sort x, s, 0.2 in ascending order.\nAnswer: x, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 5*r + 4. Let d be n(7). Suppose 2*y = -2*a - 2*y - 76, 5*y = -3*a - d. What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-22)\/(-4) + -3). Suppose 11*v - 14*v + 21 = 0. Which is the closest to v? (a) 3 (b) m (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -5, 796?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 553 - 498. Calculate the remainder when 598 is divided by u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**5 - 65*g**4 + 55*g**3 + 65*g**2 - 60*g = 0.\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3920*d - 2535*d - 1387*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1278162536513996?\nAnswer: 1278162536513991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35654, 71306, 106958, 142610, 178262, 213914?\n\"Answer: 35652*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -474, -7832, -15190, -22548, -29906?\nAnswer: -37264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20329 divided by -2\nAnswer: -20329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8492 or 447?\nAnswer: -8492","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 18. Let k be v(9). Suppose k = -13*y + y + 24. Let d(x) = x**2 + 6*x + 7. Let g be d(-5). What is the highest common divisor of g and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10032 by 5016.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/29 (b) -1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -17\/20*y**5 + 0*y**2 + 0 - 2*y + 5\/4*y**4 + 0*y**3. What is the third derivative of z(s) wrt s?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 4295408?\nAnswer: 5\/4295408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -2, 16.\nAnswer: -7, -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -55*f**3 - 3*f + 3. Is d(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*t + 0*t**4 + 193*t**5 + 2*t**2 + 0*t**4 + 820*t**5 + 76*t**5 wrt t.\nAnswer: 65340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 27*u**2 + 34*u + 4. Let l(f) = -f**3 + 28*f**2 + 35*f + 3. Let t(b) = 3*h(b) - 4*l(b). Find the second derivative of t(m) wrt m.\nAnswer: -12*m - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 + j. Let a(x) = 42*x**3 + 5*x**2 + 4*x + 4. Let v(t) = -a(t) + 4*s(t). What is the third derivative of v(p) wrt p?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413c1a (base 13) to base 10\nAnswer: 1522375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, 9, 15176 in ascending order.\nAnswer: -269, 9, 15176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011111 (base 2) to base 13.\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53672*c + 10802?\nAnswer: 53672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12360808 to the nearest integer?\nAnswer: 3516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2844 - -2844.2. What is the nearest to z in -0.4, 6\/17, 0.5, 5?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 82*y**2 - 84*y - 86. Let z be m(-83). Sort -1, z, -8 in ascending order.\nAnswer: -8, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -271*g. Let d(h) = -7*h. What is l(d(u))?\nAnswer: 1897*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - i + 5 - 3. Let x(z) = -23 + 4*z + 3 + 23. Let a(n) = 3*s(n) - 2*x(n). What is a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from ninkh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18324905?\nAnswer: 5, 23, 159347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -30, 2\/25, 0.5, 18664 in decreasing order.\nAnswer: 18664, 0.5, 2\/25, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(38)*1 - (-2*sqrt(380))\/sqrt(10))\/(sqrt(432)\/sqrt(6) - (sqrt(16)\/sqrt(2) - sqrt(8))).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23854 = 45*l - 23989. Solve 5*s - 11 = 2*s - 4*v, 0 = -5*s - l*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1226475 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*p = 127*u - 495*p + 2040, -p + 48 = 5*u - 0*p + 124 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 32 = -29*u + 59*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 = 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 - 0.54. Let s = x + 0.06. What is the second smallest value in s, -2\/7, 1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 3*k = -54*t - 20, -t + 5*k - 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74742981*n**5 + 37472217*n**2.\nAnswer: -4484578860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16133561 divided by 37.\nAnswer: 16133561\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((3 - (-13 + -9)) + -20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bboo when four letters picked without replacement from obrobbrbbbb.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r + 23 = 3*u + 36*r, 2*r = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:42 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.609 * -67381.\nAnswer: 108416.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 17*t**2 + 13*t + 52. Let u be k(16). Find n such that 6*n**5 + 0*n**2 - 5*n**5 - 4*n**2 - 14*n**3 + 2*n**5 + n + 2*n - u*n**4 = 0.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*m**2 + 162*m - 2*m**4 - 1 - 160*m**3 + 158*m**3 + 2*m**2 - 1 to d*m**4 + r*m**2 + v + h*m**3 + n*m and give n.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28010 and 11204.\nAnswer: 56020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 2*j**4 + j**4)*(3 + 2 - 3) + (-j + 0*j + 2*j)*(-3 + 3 + j)*(-95*j**2 + 51*j**2 - 19*j**2).\nAnswer: -69*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*x - 4*v - 13 = 121*x, 0 = -2*x + 4*v + 3 + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12*b**2 - 7*b**2 + 37005 - 37009. Let x(g) = g**2. Determine x(f(z)).\nAnswer: 361*z**4 + 152*z**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -3 (b) 1 (c) -15928\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 2*d - 22 = 19*q, -2*q + 11 = -3*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -1 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -45*c + 2289. Let h be s(51). Which is smaller: h or -29\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m + 355 = -8*m + 61*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15))\/(124\/310)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 17. Let r be (-35)\/f + (-6)\/(-15). Which is greater: -2\/73 or r?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y - 4. Let b(k) = -k + 1. Calculate -2*b(i) - h(i).\nAnswer: -10*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let m = 13572 + -13572. Solve u = -m*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.86 + 0.14. Let r = 20 - i. Which is the smallest value? (a) 1\/8 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/65 or 0?\nAnswer: -11\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -40*z**2. Let p(v) = -10*v**2 + 9*v + 12. Let t(k) = -351*k**2 + 312*k + 416. Let q(a) = -104*p(a) + 3*t(a). What is -20*q(h) + 6*u(h)?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-18)\/(111\/37).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 222\/336 + (-10)\/35 + (-9)\/24. What is the nearest to -1590 in -1, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*j**2 + 89*j**2 - 7 - 201*j**2 to the form w + n*j + z*j**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**4 - 3*x**4 + 3*x**4)*(-3*x + 5*x + 0*x) - 3*x**5 - x**5 - x**2 + 6*x**5.\nAnswer: -6*x**5 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -5 - 3*30. Let g = 91 + i. Solve l - 3*k + 6*k + g = 0, 0 = 2*l - 5*k - 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - 4*u - 2. Let s be x(5). Let j = -5 - -8. Suppose d = -j*p + 62, -4*d = s*p - 0*d - 77. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w**2 + 13*w - 2. Let p(i) = -6*i**2 + 6*i - 1. Give 5*p(b) - 2*u(b).\nAnswer: -4*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 141*h**2 - h**3 + 0*h**3 - 3*h**3.\nAnswer: h**3 - 141*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*h = 0, 4*h - 30 = -5*n + 3*h. Let w = n + -1. Factor 13*u**2 + 0*u + 2*u**w - 8*u**3 - 4*u - 3*u**2 + 0*u**3.\nAnswer: 2*u*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.075 - -0.025. Let v = -20 + h. Let u = 1 - v. Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410 and 85?\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726415582 and 346.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/4 - 21*w**2\/4 - 9*w\/2.\nAnswer: -3*w*(w + 1)*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let k(p) = 2*p**3 - 4*p**2 - 15*p + 4. Determine k(f) - 4*t(f).\nAnswer: 2*f**3 - 4*f**2 - 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 - x - 3. Let i = 5 - 2. Suppose 5*c - 12 = g, 2*c + i*g = 2*g + 9. Let f(o) = -6*o**2 + 2*o + 4. Determine c*f(u) + 4*h(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**3 - 28*f**2 + 22*f + 31. What is the hundreds digit of r(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 3*b**2 - 3*b. Let h(w) = -w**3 + 2*w**2 - 2*w. Let o(l) = l + 11. Let s be o(-9). Determine s*a(t) - 3*h(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 112, 165?\n\"Answer: 53*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7784 and -0.4.\nAnswer: 3113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 7. Let n be a(5). Let x be (-4 + 4)\/(2*4\/8). Suppose 0 = -x*j + 3*j + 2*y - 273, -3*j = n*y - 270. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409394, 818884, 1228462, 1638128, 2047882, 2457724?\nAnswer: 2867654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28012\/1553035 + 48\/2057. Is 0 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u + 90. Is (u\/6)\/(-5)*26 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a factor of 1517213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -362 - -367. Let u = -3 - -8. Suppose m*a = 3*h + 347, 0*a + 2*h = -u*a + 327. List the prime factors of a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*b**3 - 2*b**2 + 0*b**2 - 16*b**3 - 2*b as u + q*b**2 + i*b**3 + j*b and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/2 - 2077*q**4 + 4318081*q**3\/2 - 4311852*q**2 + 2154888*q.\nAnswer: q*(q - 2076)**2*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59d1 (base 16) in base 15?\nAnswer: -6c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*g - 12 - 13 = 0, 0 = g - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 6*x, j = -5*x + 5. Let z = j - 13. Suppose 11 = 7*p + 39. Sort p, z, -7.\nAnswer: -7, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nananaaaannannnn. What is prob of picking 2 a and 1 n?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1656 and 12558.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s**3 - s**2 + s + 13. Let g = -50 - -55. Let o be k(g). Suppose o = 4*q - 2*b, 3*b + 1426 = 2*q - 0*b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-99\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - c**3 + 6*c**3 + 51964*c**2 - 3*c**3 + c.\nAnswer: 2*c**3 + 51964*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnwwgynnwn. Give prob of sequence nywg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -896970 divided by -58?\nAnswer: 15465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 18384*c\/5 - 84492864\/5.\nAnswer: -(c + 9192)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1110 and -8\/1295.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -16740000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007468533 rounded to five decimal places?\nAnswer: -0.00747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025222 rounded to six dps?\nAnswer: -0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36277.9 - 36278. Let t = -71 + 49. What is the nearest to y in t, 0.2, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -500 - -916. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2880 + 0*r**2 + 2*r**2 - 2880.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1782408 to three dps.\nAnswer: -0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times 1.93\nAnswer: -8.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18276 is divided by 345?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53457115793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/72057 and -127\/20952?\nAnswer: 503246088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4490388640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2638994.21779088 - 2638994. Let h = t - 0.287792. Let g = -0.07 - h. Round g to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v + 114 = -60*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1154366*o**3 - 251*o**2 + 1214 wrt o.\nAnswer: -6926196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4595 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from fqsqrqqqfqqrfrrqsq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -180\/69001?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 5 = 73. Solve 4*u - s*u - 10 = 4*z, 5*z + 10 = -3*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 4. Let g be z(-4). Suppose 18 = 4*n + 3*p - 0*p, 5*p = n - g. Does 23 divide (-4)\/n + 534\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 10\/12*28*(-78)\/(-52).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(12\/(-56) + 4\/(-14)). Which is the nearest to y? (a) 1\/4 (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835877?\nAnswer: 11, 23, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893505*n - 126 = 893512*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 11 - -14 - (59 - (10 - 9) - -6)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1029 by -159.\nAnswer: 343\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 45861*a**3 + 371*a + 45856*a**3 - 91713*a**3 as g*a**3 + i*a + q*a**2 + s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 3*p - 34. What are the prime factors of r(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 + 1)*(2 - 2 - 2)*(-10*t + 4*t - t) as x + q*t and give q.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 4, w: 3}. What is prob of sequence jw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226364 + -2432?\nAnswer: 223632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100201220 (base 3) in base 10?\nAnswer: -7098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*n + 4. List the prime factors of (-1 - n)\/(-5*(-8)\/(-920)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 78 = -8*d. Suppose 0*n + 3*n = 144. Let r = d + n. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738790983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46030053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12725 (base 8) to base 3\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 8. What is the common denominator of -51\/7 and (60\/f + -1)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264699.56822 - 7.464\nAnswer: -264707.03222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 2. Let u be o(-2). Suppose -2*b = -u*b - 40. Calculate the highest common divisor of b and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*p**2 + 7486*h*p - 283374*h - 2*p**2 + 2*p with respect to p.\nAnswer: 2*h*p + 7486*h - 4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 29 = 2*v + 26, -v + 11 = -l. Let x(k) = -k**3 - 4*k**2 + 35*k - 12. Let t be x(l). Is 45 a factor of t\/35*(-14)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, -26, -203, -534, -1067, -1850?\n\"Answer: -8*v**3 - 5*v**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*42\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 60566*l**2 - 16*l + 39. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -13. Suppose -3*y + 4*p = -37, 2*y + 3*y - 5*p - 55 = 0. What is the lowest common multiple of w*(6\/4 + -1) and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 17*q - 6. Let s(t) = -2*t**2 - 32*t - 11. Suppose 9*w = 15*w - 66. Let b(n) = w*y(n) - 6*s(n). Factor b(z).\nAnswer: z*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -50, 2.2, 8, 5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 0 - -2) + 128.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 68. Put 5, x, -6 in increasing order.\nAnswer: -6, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(425)*2 - 5*(sqrt(425) - sqrt(425)*-1) - ((sqrt(425) - (-4 + sqrt(425) + -2))*1)**2).\nAnswer: 198 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 - 95. Let f = 68.3 - w. Let k = f + 0.7. Which is the second smallest value? (a) -4 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15073914 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 2385.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(3 - 28\/12 - 1\/(-3)). Solve 5*a + f + 19 + 5 = x, 0 = -2*a - f - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37013, -74026, -111037, -148046?\nAnswer: -185053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/45)\/((-2)\/26785)*-1?\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, 2, -4.829, -247 in decreasing order.\nAnswer: 2, -1\/5, -4.829, -5, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 343*c\/2 + 7080.\nAnswer: (c + 48)*(c + 295)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = r + 22064998, 2*r + 7102628 = 4*l - 10549368. Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.7 + 4.\nAnswer: -82.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a - 6. Let y(n) = -36*n + 17. Let i(q) = 8*x(q) + 3*y(q). Let v(m) = m**2. What is v(i(d))?\nAnswer: 400*d**2 - 120*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 742*l - 848*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9184 and 1435.\nAnswer: 45920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 7 = -17. Let h(o) = -3*o + 6. Let a(v) be the first derivative of -3*v**2\/2 + 5*v + 52. Give y*a(j) + 5*h(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 5, 1, -1 in ascending order.\nAnswer: -1, 1, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 8}. Give prob of picking 3 p and 1 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5. Suppose -f - 2*f + 4*y + 37 = 0, -2*f - 2*y + 48 = o. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897881.5 millilitres to litres.\nAnswer: 897.8815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.94 * -0.01.\nAnswer: -0.0494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 16 (c) 448 (d) -2\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1598 and -54.\nAnswer: 86292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*j + 2 = 0, 0 = -0*j - 4*j - 16. Let y = 1930.98 - 1931. Which is the closest to y? (a) -5 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -70 (b) -1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 + 360 = 8*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1142.\nAnswer: 4568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -9, -2.843, 5?\nAnswer: -2.843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (94\/24 - (-26 + 30)) + (-46)\/24. Let z(r) = -7*r + 3. Let k(t) = t + 1. What is p*k(h) - z(h)?\nAnswer: 5*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.472845 nanometers in centimeters?\nAnswer: 0.0000002472845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 0)\/(3\/(-12)). Let h(x) = 31*x**2 + x. Let c be h(-1). Let s = c - i. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 7*x**2 - 10*x + 11. Let r be o(8). Suppose -3*b = 2*b - 45. Let s = -7 + b. Put -1, s, r in decreasing order.\nAnswer: s, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111010000100010011 (base 2) to base 8\nAnswer: 720423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -99465.\nAnswer: -298395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -26 - (1157 + -1151).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -4. Let d be (-8)\/(-6) + 2\/(-6). Suppose -6 - d = -f. Calculate the least common multiple of g and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192949 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2136 * 5954.\nAnswer: 12717744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587324?\nAnswer: 2, 3, 17, 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 826323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 2*y - 3*y)*(6 + 0 - 4)*(37 + 35 + 0)*(-5*y - y - 2*y) to the form x*y + g + o*y**2 and give o.\nAnswer: 2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5 (b) 11730 (c) 127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -3 + -2 - (1 - -3)) + -6 + 34?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 + 1530032*j\/5 + 292624740128\/5 = 0.\nAnswer: -382508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnhnblbblhlzlb. What is prob of picking 1 z and 2 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 0.28. Suppose 0*o + o = p, -2*p = -3*o - 5. Which is the nearest to 0? (a) r (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, and 1 e when three letters picked without replacement from {e: 4, u: 2, w: 2, f: 1, k: 2, p: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378647.\nAnswer: 79, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -37223*a - 2053. Is u(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2\/9))**(2\/29))**(-32\/3))**(2\/77))**(-1\/7) assuming b is positive.\nAnswer: b**(-256\/422037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34036922?\nAnswer: 2, 3533, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r - 20. Suppose -29*f - r = -30*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138838123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253627733?\nAnswer: 1069, 237257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*c = -12, -z - 4*c + 13 = -6. Let g be z\/(-2) - 78\/(-12). Is g bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 167*a**2 + 5*a - a.\nAnswer: 167*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.01. Let d = h - 0.11. Which is the closest to -1? (a) d (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -1756995?\nAnswer: -1756995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100011110101000 - -10111?\nAnswer: 100100011110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4379 and -3\/284786.\nAnswer: 8258794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/149 - -371\/10877. Is j at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**10*z**(4\/11) assuming z is positive.\nAnswer: z**(-95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 + 5*v + 2. Calculate the remainder when 27 is divided by h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*g**3 - 2*g**2 - 136*g - 1 - 129*g + g**2 + 267*g to d*g**3 + l*g**2 + h*g + c and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*c - 65*c = 222. Suppose 0*y + 3*l = 3*y - c, -121 = -3*y + l. What is the least common multiple of y and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380672183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 3958*b**3 + 3960*b**2 + 3958*b - 3959.\nAnswer: -(b - 1)**2*(b + 1)*(b + 3959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*a + 423, -4*q + 659 = 3*a - 152. What are the prime factors of q?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/13 or 19017?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.58 - -0.08. Let q = 2 + f. Let b = q + 0. Sort -0.2, -0.1, b in decreasing order.\nAnswer: b, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27383.64 milliseconds in microseconds?\nAnswer: 27383640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137 or 136?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 14*v - 1. Let m be z(16). Calculate the greatest common factor of 124 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2754668 nanograms in tonnes?\nAnswer: 0.0000000000000002754668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/147)\/((-5)\/35). Let w(x) be the third derivative of 1\/12*x**5 - 3*x**2 + 0 + 0*x + 0*x**4 + h*x**3. Differentiate w(s) wrt s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-5 - 2)) + -13 - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*f**4 + f**2 + 5*f + 332*f**4 - 11*f + 5*f + 31*f**2 to z*f**4 + g*f**2 + t + q*f + p*f**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 458*u**4 + 2*u**3 + 916*u**2 - u - 458 = 0.\nAnswer: -458, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1026549305.93513 - 1026543744. Let v = s + -5537.935. Let t = v - 24. What is t rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:13 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 11*g + 4. Let s be m(11). Suppose s*x = 5*k + 20, -k - 3*x - 4 = -x. Let l = k + 7. Solve 5*j = -2*t - l, 4*j = 5*j - t - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54412 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-34 - -12) + (7 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -270*u + 268*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 66\/(-12))*1328. Suppose -9*i - 268 = -k. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305712 and 13680.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/68 - (-381)\/4. Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -8\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 656 + 1184 = 0 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -43, -194, 3, -13 in descending order.\nAnswer: 3, 0, -4, -13, -43, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 - 5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 10433930.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139.952 - 139. Let n = r + -0.052. Round n to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 22. Let j(g) = g**2 + 24*g - 474. Let a be j(-37). What is q(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/4, -27, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(0 + (12\/(-9))\/1). Suppose 11*w - 13*w - y = 0. What is the common denominator of 5\/2 and (770\/8)\/(-11)*w\/(-25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**4 + i**3 - i**2 + i. Let j = -19 + 18. Let t(y) = -4*y**5 + 12*y**4 - 20*y**3 - 4*y**2 + 16*y - 8. Let h(m) = j*t(m) - 4*x(m). Factor h(a).\nAnswer: 4*(a - 2)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16487, 16474, 16463, 16454, 16447, 16442, 16439?\n\"Answer: p**2 - 16*p + 16502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16248 = 12148*y - 9353*y - 3317 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 320617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29755 divided by 5?\nAnswer: -5951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 - -92391?\nAnswer: 92361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7 + 4*w)*((-w**4 - w + w)*(1 + 2 - 2) - 2*w**4 + 4*w**4 - 5*w**4).\nAnswer: -16*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -36\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911341662?\nAnswer: 2, 3, 7, 11, 947, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = 0, 0*k + 194 = 4*h + 2*k. Let o = -152\/3 + h. Does o = 3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-15) - 4\/12\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*t + 6*t + 74*t)*(5*t - 5*t**2 - 5*t).\nAnswer: -210*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 + 125 = r. Let d = r - 327. Which is greater: 38 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -715*d + 2583*d + 1487*d + 640*d + 249*d to the form z + h*d and give h.\nAnswer: 4244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/15)\/(5\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -5.\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(684) + 6*sqrt(684)*2 + -5*-1*sqrt(684))**2 + 2).\nAnswer: 664854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(5\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*l - 302 + 302 + (5 - 2*l - 5)*(2 - 3 - 1))*(2*l + l - 6*l).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(18\/11)\/l**(1\/10)*(l*l**(4\/15))\/((l\/l**(-15))\/l) assuming l is positive.\nAnswer: l**(-805\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 - 44*s**2 - 104*s - 64 = 0. What is s?\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -523*r. Let o(t) = -24816*t**2. Calculate w(o(m)).\nAnswer: 12978768*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5944483 and 29722415?\nAnswer: 29722415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 100 and -45.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1857*k**3 + 1615*k wrt k?\nAnswer: 11142*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from qqywhywywy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, o: 1, y: 2}. What is prob of picking 1 o and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/3)*q)**(-50)\/(q**0)**(-22))\/((q\/((q*q**0)\/q))**5*q**(1\/3)\/(q**3*q)) assuming q is positive.\nAnswer: q**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/(-20)*-77 - 3\/12. Let q = t + -247. Let l = -10 - -34. Calculate the greatest common divisor of q and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 263*u + 8. Let w be r(0). Solve -5*m + 25 = 0, 3*m - 11 = -w*t + 7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/(10\/(-15))*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 2. Let a(d) = -24*d + 7. Let x(b) = -2*a(b) - 9*g(b). Let y(q) = -q**3 - 3*q**2 - q + 4. Let m be y(-3). What is the tens digit of x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -688\/5 + 138. What is the biggest value in h, -6, -0.2, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 4\/5 (b) -10 (c) 2\/11 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -298 + 310. What is the greatest common divisor of 21 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3438 and 183732450.\nAnswer: 551197350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 0 + -26 - (94 + -103)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 3. Let b(n) = -4*n + 2. Let y(h) = -3*b(h) + 2*q(h). Let k(t) = t. Determine k(y(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3785?\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 - 2*z**5 + 3*z**5 + 0 + 0 + z**5 + (76*z**2 + 67*z**2 + 103*z**2)*(0 + 0 + 2*z**3) + (-4 + 1 + 2)*(z**5 - 3*z**3 + 3*z**3).\nAnswer: 491*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10312, 20608, 30902, 41200, 51508, 61832?\nAnswer: 72178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125459 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57132 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11295 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/9 + 22*b\/9 + 25\/3.\nAnswer: -(b - 25)*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0 (c) -0.5 (d) 1.98 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4118 + 2*t**2 + 4118.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times 0.84?\nAnswer: -2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(75) + 0 + sqrt(75))*-4 + -2 + (sqrt(480)\/sqrt(5) - sqrt(6))\/sqrt(2))**2.\nAnswer: 498*sqrt(3) + 20676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 - (-2)\/4. Suppose 4*o + k*y + 3 = 31, -3*y = 4*o - 24. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 2*v**2 - 2*v - 78. What is k(0)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 3 + j**4 + 26*j**3 - 24*j**3 as t + h*j + b*j**2 + c*j**3 + a*j**4 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437723785.\nAnswer: 3, 5, 7, 61, 54371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38350113 to the power of 1\/2, to the nearest integer?\nAnswer: 6193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18. Suppose j = -0*n + n - 4. Suppose -5*v + n = 34. What is the nearest to v in 3, -1\/4, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - t = 37, -t + 6*t - 15 = 0. Suppose 0 = 4*c - o*c + 126. Find the second derivative of 0*u + 5*u - c*u**3 + 13*u**3 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 23*m + 63 - 117.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -11*y**6\/15 - 5*y**3 + 30*y. What is the second derivative of a(n) wrt n?\nAnswer: -264*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -49. Let p(i) = -19*i - 34. Let z be p(-6). Let r(o) = v*o - z*o + 39*o. Let g(x) = -6*x + 3. What is g(a) - 4*r(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*d + 10, -2*d - 22 = -2*m - 2*m. Let r(t) = -4*t**m - 4 - t**2 - 2*t + 3*t**3 + 2*t + t. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -354*g + 67. Let u be v(-17). Suppose -23*t - 36 + u = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**3\/3 - 5*x**2\/2 + 62*x + 53. List the prime factors of n(0).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 74564?\nAnswer: -74583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124822 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -85*v. Let y(i) = -12*i. Let u(a) = -5*x(a) + 35*y(a). Let f(q) be the third derivative of -q**4\/8 + 2*q**2. Calculate u(f(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**2 + 45*k - 381. Determine n(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-45)*6)\/(2\/(-1)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let o = w + -2. Suppose 4*b - 7 = 5*n + 3, 6 = 3*n. Sort o, b, 4.\nAnswer: o, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + 31 + -42 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 1. Let m = -216 - -402. Let u = 195 - m. Calculate the lowest common multiple of n(5) and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3284816\/396445 + 2\/56635. Which is the second biggest value? (a) -10\/3 (b) i (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/179011009?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.8 in 56, 0, -928?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9698715 is divided by 446?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1388911*q**2 + 418449*q wrt q?\nAnswer: 2777822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2133*w + 45. Let t be r(-5). Let b = t - 321329\/30. Find the common denominator of -131\/30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 1. Let g be y(-1). Let r be -1*(g\/4 - 3). Solve -4*m + r*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 4*w - 8. Let h = 4122 + -4118. Let t be 5*-4*(-1)\/10. Let b(k) = 2*k - 5*k + t*k**2 + 7 + 0*k. Determine h*b(y) + 3*r(y).\nAnswer: -y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 72. Let q be l(-25). Let g(v) = 12*v + 8 + v**2 - 14*v - q*v. Is g(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -4*m, -3*m + 5*m - 1 = g. Let t(y) = -1 + 0 + 5*y + 2*y. What is t(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -535, -541, -549, -559, -571, -585?\n\"Answer: -k**2 - 3*k - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520962.3647 rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 22446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148509707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) 0.1 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/132)\/((-14)\/21)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292312.\nAnswer: 2, 61, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.51 + -0.51. Let r = d - 16. Which is the closest to -2\/9? (a) -2 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 5*g)*(14*g**3 - 8*g**2 + 8*g**2).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13696, -13693, -13692, -13693, -13696?\n\"Answer: -p**2 + 6*p - 13701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 60 = -2*r. Let i = -7 + r. What is the remainder when 25 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 8*m**2 + m + 1. Let c be x(8). Let u(a) = 11252*a**3 - 44 + 16*a**2 + 18*a - 11251*a**3 + c*a**2. Is u(-24) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 959, 3842, 8647, 15374, 24023, 34594?\n\"Answer: 961*s**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*36\/(-44064)*144\/80.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*w = 8, 0 = 5*w - 1 - 14. Let l(h) = 1. Let m(x) be the second derivative of x**5\/10 + x**3\/3 + 5*x**2\/2 - 5*x. Determine s*m(t) + 3*l(t).\nAnswer: -2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3 + 30. Let h = 74 - b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, 117, 7, -3, -116 in ascending order.\nAnswer: -116, -3, -1, 0, 5, 7, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -45952, 3, 5, -3.\nAnswer: -45952, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2869\/11 + 261. Which is the nearest to 0? (a) -0.4 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1180 = 2*p - 1182, -2*g + 9 = -17*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/5)\/m)\/(m*m**(-1\/5))*(m**(1\/3)*m)**(1\/36)*(m**(1\/7)*m\/(m\/(((m\/(((m\/m**5)\/m)\/m))\/m)\/m)))**(-44) assuming m is positive.\nAnswer: m**(-216262\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 3*i - 2*i + (i + 2*i - 4*i)*(-10 - 5 + 7) + i + 0*i + 4*i - 3*i + 2*i + 3*i + (1 + 1 - 1)*(-3 + i + 3) in the form s*i + m and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(-14)\/336*(2\/3)\/(5\/390)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfnnfvifvnnvn. What is prob of sequence fi?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8*w. Let o(y) be the second derivative of -1\/12*y**4 - 1\/30*y**6 + 0*y**3 + 0*y**2 + y + 0*y**5 + w. Find the third derivative of o(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:07 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14924 and 6097?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -128872*g**2 - g + 12. Let a be d(2). Is 26 a factor of a\/(-583) + (-4)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r - r**2 - 1 + 1\/30*r**5 + 1\/6*r**4 + 0*r**3 - 1\/60*r**6. Let h(g) be the second derivative of y(g). Factor h(b).\nAnswer: -2*b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.304 + -5.304. Which is the smallest value? (a) y (b) -0.4 (c) 17 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15995 is divided by 5308.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 338.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:01 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.4 + 14.4. Let n be (-2 - 34\/(-20))*2. What is the third smallest value in 3, y, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 438085.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/(12\/198) + 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-2*2)\/(sqrt(8)*-1*4))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**2\/5 - 5378*h\/5 + 1344\/5 = 0. What is h?\nAnswer: 1\/4, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**43)**(-3\/23)*((k*k*k*k**(-1\/9)*k)\/((k*k*k**(-2\/3))\/k))**(-2\/43) assuming k is positive.\nAnswer: k**(-51395\/8901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -758 in 9, -4\/19, 1, 1\/9?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/35 and 10\/49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(63)*-6.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2432 divide 588096107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s - 9*s + 7 + 4 - 11*s.\nAnswer: 2*s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -143708 (b) -0.1 (c) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-20) - ((-17)\/5 + 4). Let t(h) = -8*h - 16. Calculate the common denominator of t(x) and 91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/60 + q**4\/3 - 5*q**3 + 8*q**2. Let n be t(-11). Suppose -70 = -5*w + n*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 + l + 1. Let r(n) = -2*n**3 - n**2 - 3*n - 1. Let f(g) = j(g) + r(g). Let f(i) = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32260.22 centimeters to kilometers.\nAnswer: 0.3226022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + (-1)\/(-3). Suppose j = -d - 4*d. Let f = -6 + 8. Solve d = v - f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-8) + -4 + 3)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34437068?\nAnswer: 2, 53, 162439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 20.11192?\nAnswer: -261.45496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 170 - 3*u**3 + 170)*(-3 + 3 - u).\nAnswer: 3*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11897330 to the nearest integer?\nAnswer: 3449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1539 divided by -27.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 0*3\/12. Differentiate -3*h**j + 4*h**2 + 3*h**2 + 0 - 15 with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-21112)\/756 - -23.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i. Let c(y) be the first derivative of 2*y**3\/3 - 7. Give c(t(w)).\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 5*l - 9. Let m be d(-7). Solve -1 + 6 = -3*c - 5*o, m*c - 3*o + 31 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/60 + 5*h**4\/24 + 32*h**3\/3 + 1719*h**2. Calculate b(0).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y - 27*y + 3*b - 57 = -52*y, -71 = 2*y + 5*b + 2*b for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-34)\/(-14) + 12\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5454 = 3*u, 10*p = 3*u + 5*p - 5454. List the prime factors of u.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3*r**2 - 282896*p**3*r + p**3 + 27*p**2 + 2497*p - 1 wrt r.\nAnswer: 4*p**3*r - 282896*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30233 - 11?\nAnswer: -30310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 + 858\/5. Let p = -0.08 + -0.22. Which is bigger: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, e: 3, s: 2}. Give prob of sequence ees.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -1. Let r be ((-24)\/14)\/(2\/z). Calculate the greatest common factor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r + 0*r**3 - 2*r**2 + 0 + 1\/24*r**4. Let l(i) be the third derivative of i**5\/30 - 3*i**2. Give o(l(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 7064*l - 584294. Give b(80).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.11, -2999773.\nAnswer: -2999773, 0, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - (-41)\/2. Let t = 35 - f. Suppose -t = 2*u - 5*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-2 - sqrt(864))\/(sqrt(432) + (sqrt(432) - 1*sqrt(432))) + (sqrt(6)\/sqrt(147) - (1 + sqrt(2))**2*5).\nAnswer: -90*sqrt(2)\/7 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:46 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from bootjocccjjjojjjojco.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-6))\/f*f)\/f**11*(f**(-1)*f)**(-1\/7) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = -5*a, 5*a + 0*i = -3*i + 1. Suppose 2*o = -3*y + 2, a*o + o + y = 3. Solve 3*k + 2 = -o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p**2 + 0*p**2 - 2*p**2)*(-2 - 3 + 2) + p - p + 3*p**2)*(17 - 6 + 13)*(-p - p + 3*p).\nAnswer: 216*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*16\/(-12))\/(-22)*3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {g: 3, i: 3, k: 5, s: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 290*w**4 - 1110*w - 2055. What is the first derivative of r(j) wrt j?\nAnswer: 3480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 20*j**4 - 552*j**2 - 479*j**2 + 2098*j**2 - 145*j**3 - 497*j**2 - 450*j**2 = 0.\nAnswer: -8, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 129130.\nAnswer: -3\/129130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)\/y**(-5))\/(y**0)**19 assuming y is positive.\nAnswer: y**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*x + 9 + 5 + x.\nAnswer: 3*x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 1646?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 19*o**2\/2 - 13*o - 60.\nAnswer: (o - 3)*(o + 2)*(o + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 15*t**2 - 234*t - 2*t**3 - 15*t**2 + 234*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h - 14*h - 5 + 4. Let o be j(4). Put 4, 5, o in decreasing order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + -120. What is the second derivative of 9*q**2 + 5*q - 8*q**2 - 8 + 27*q**a wrt q?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogmotuugy. Give prob of picking 1 m and 1 u.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 12 + 30 + 2*m**4 + 2*m**3 + m**3 - m**2 as b*m**3 + r*m**4 + l*m**2 + f*m + v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = -3*w - 9, 4*r = -w + 7. Factor -j**5 + 2715*j**3 - 2706*j**3 + r*j**4 + 0*j**5 - 27*j**2.\nAnswer: -j**2*(j - 3)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 25064996*o**2 - 39265914127468*o - 117797516797548.\nAnswer: -4*(o + 3)*(o + 3133123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 54.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3976, 543, -4, 3, -16 in increasing order.\nAnswer: -16, -4, 3, 543, 3976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0385 and -24305839?\nAnswer: 24305839.0385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21))\/(-1)*2625\/(-4500)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -997, -991, -957, -877, -733, -507, -181, 263?\n\"Answer: 3*s**3 - 4*s**2 - 3*s - 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6233 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1351*r. Let b(w) = 2*w**2. Determine v(b(i)).\nAnswer: -2702*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37590651 + 17693719. Let d = b - -19896644.00157. Let j = 288 + d. Round j to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 692*t**5 - 16*t - 24?\nAnswer: 13840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3\/2 - 363*p**2 - 2139*p\/2 + 1434 = 0.\nAnswer: -239, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -367 + 75. Let p = -54 - v. Suppose 4*q - 5*q - 3*n + p = 0, 0 = -3*q + 2*n + 2. Solve q*l + 4 = 5*j, 0 = -j + 3*j - 2*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 26 - 6 = 0. Suppose 4*m - 8 = 2*q, -q = -5*m - c*q + 10. Solve 0 = -h - 2*t + 8, -3*h - 18 = -4*t - m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87556, -87784, -88014, -88246?\n\"Answer: -f**2 - 225*f - 87330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c**2)*(-6*c**2 + 2*c**2 + 3*c**2) + 0 - c**4 + 0 + (-5*c**2 + 2*c**2 + 2*c**2)*(-c + c - 2*c**2) + 15*c**4 - c**4 + c**4.\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*4*(5 + (-4 + 1*sqrt(112)*-5)**2) + -3.\nAnswer: 3200*sqrt(7) + 56413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 183*p - 1936 = 2049 + 2615 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20560228 is divided by 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -629.3 + 630.85. What is the nearest to 1\/3 in 0.1, 0, c, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/1435 + -22978\/12915. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -726917\/1557615 - -2\/103841. Let b = 3183\/5 + -641. Find the common denominator of n and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2602*g + 1116395. Give n(429).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 186 = 4*b. Calculate the remainder when b is divided by 15\/1 - (-1 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)*s**(2\/7)*(s\/s**1*s*s)**(-2\/3) assuming s is positive.\nAnswer: s**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from vnvnnnvvrvvnvrn.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 20*m + 14. Let v(o) = 7*o + 5. Let f(x) = 3*i(x) - 8*v(x). Let l(h) = 13*h + 7. What is -14*f(z) + 4*l(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 - 19*v**2)*(0*v**2 + 0*v**2 + 2*v**2)*(-6 + 1 + 4)*(35*v + 56*v - 22*v).\nAnswer: 2760*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 68 + -69 + (-11 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1613 less than or equal to 351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925*x**3 + 1137*x**3 + 1805*x**3.\nAnswer: 2017*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6)*(4*q - 4*q + 2*q) - 2*q + 0*q + q + (0 - 4 + 2)*(1 - 1 + q) in the form h + c*q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -244820, -244836, -244862, -244904, -244968, -245060?\n\"Answer: -o**3 + o**2 - 12*o - 244808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/36*-2*21\/112\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2\/2 + 8*j + 1. Let a = -2 - -2. What is the units digit of n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*2)\/((-2*sqrt(77) + sqrt(77))\/sqrt(11)) + (1*sqrt(8)*1)\/((-2*sqrt(32))\/sqrt(8)).\nAnswer: -25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -931869, -1863867, -2795865, -3727863, -4659861, -5591859?\nAnswer: -6523857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3526017\/66 - (20\/50 + (-2)\/(-20))?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/12 + q**3 + 10*q**2 - 3*q. Let h be g(-3). Solve -2*y - 6 = 0, -4*v - 4*y = -2*v + h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, 14, 4, -293 in increasing order.\nAnswer: -293, -4, -1, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by (-106)\/371*(-7)\/2 + 55 - 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2476*z + 2762*z - 1693*z - 7.\nAnswer: 3545*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 = -5*r + 1021, -2*r = 4*v - 406. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60918060.\nAnswer: 2, 3, 5, 7, 145043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/116 (b) -0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 8, c: 1, a: 5, k: 2}. What is prob of sequence kk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1 + 8 + 21466*u - 21472*u. Let t(w) = 2*w - 3. Give 2*i(h) + 7*t(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103164 is divided by 913?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7342 is divided by 147?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27504 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.441663 rounded to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 70 = 182. Let b = 163 + a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128113.4 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 0.23, -9.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a + 26*a - 913 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 26 = 5*k. Let f be (-492)\/k - (-12)\/(-30). What is the common denominator of 93\/10 and (-2751)\/f + (-3)\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -34. Let y = q - 16. Suppose 5*p - 345 = 9*o - 4*o, 3*p = -y*o + 177. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1784519\/44 + 6\/(-8))*1*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - (-20)\/50. Suppose u = -3*z + 2*z. Let r = -3 - 1. Which is the third smallest value? (a) -0.3 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 - 4*q - 6. Let h be b(5). Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -8 (c) 233 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -299\/9. Sort w, -0.5, 1.6 in decreasing order.\nAnswer: 1.6, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/45 + w**4 - 80*w**3\/9 - 5*w**2 + 273. Factor x(y).\nAnswer: 4*(y - 2)*(y + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 2151568?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {g: 1, n: 1, x: 2, c: 1, v: 2, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/10*(4 - 8). Let o = -6 - -4. Suppose 2*j - x + 4*x = 10, x + 8 = 5*j. Which is the smallest value? (a) h (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8477\/14)\/(-7) - 1\/(-2). Suppose -4*h = -0*h + 664. Let g = z - h. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -0.4, -10, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12889021, -12889022, -12889023, -12889024?\n\"Answer: -n - 12889020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggwgwgwwggg. Give prob of sequence gww.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10644*z**2 - 21634*z**2 + 10991*z**2. Let c(r) = -5*r - 60*r - 56*r. Give c(b(m)).\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - g - 33 = 0, 5*f + 1495*g - 1498*g - 59 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1055 - -1156. Calculate the remainder when g is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j - 20. Let q(h) = 3*h + 7. Let x(g) = -5*g - 3. Let n be x(-3). Suppose 2*s + m = 29, -5*m = -5*s - n + 77. Give s*q(z) + 5*p(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229026143.\nAnswer: 709, 323027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1194 and -1\/9.\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 4, 16, 9, 6, -35 in increasing order.\nAnswer: -35, 3, 4, 5, 6, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 489983 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 1, c: 4}. Give prob of sequence gc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9138600 to the nearest one hundred thousand.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(256) - (-5*sqrt(847))**2.\nAnswer: -21175 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*y - 75. Which is smaller: 14 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 16. Suppose 2 = -3*j + 4*r, j - r + 1 = -m. Let d be 1\/(-1)*j*2. Solve -2*q - d = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5606 + 7010. Calculate the highest common divisor of 130 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7*(-1)\/(2\/30*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 73*m**2 + 115*m + 8381. Calculate p(-73).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9241*i**3 - 3073*i**3 - 3087*i**3 - 3120*i**3.\nAnswer: -39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 17*x + 1. Suppose s - 3*t - 7 = -0*t, -14 = -3*s + 2*t. Let a be h(s). Suppose -3*g + a = j + 5, -2*j - g = -113. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -5*j - 5*d + 142, 289 = 5*j - 3*d. Calculate the remainder when 903 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4869.662 kilograms?\nAnswer: 4869662000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 11470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6857 + -61711\/9. Let y be (0 + 1)*-2 - 13. Let q be 3*y\/(-54) - 0. Which is the second biggest value? (a) -0.1 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14131*d - 7976*d - 6155*d - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3\/3 - 2*i**2 + 4*i + 61. Determine m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163344178 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 96 + 7*12\/28. What is the highest common divisor of 44 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p**5 - 738*p**4 - 2121*p**3 - 1164*p**2 - 180*p = 0. Calculate p.\nAnswer: -2, -1\/3, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 12*v - 152 = -9*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i = -22*i - 32. Suppose r - 69 + 15 = -i*y, -2 = -r. Let u = -11 + 22. Calculate the smallest common multiple of y and u.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3843*d. Let w(l) = 3*l**2. Calculate r(w(u)).\nAnswer: 11529*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138774?\nAnswer: 2, 3, 101, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*t + 3*t**3 - 115*t + t**3 to s*t**3 + p*t + x + d*t**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10a0803 (base 13) to base 11\nAnswer: 2983066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v - 3*k + 135 = 0, -v - 2*k - 31 = -52 + 46 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/9)\/(8\/(-12))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 2 - (-276)\/1. Suppose -20*c - 20*c - 2055 + 13295 = 0. Are c and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 13*w**2 - w - 5. Calculate the remainder when 30 is divided by l(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -269, -312, -385, -488, -621?\n\"Answer: -15*l**2 + 2*l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(21)\/sqrt(3))**2.\nAnswer: 14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/19? (a) 0.5 (b) 3 (c) -132.6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 3, 46874 in ascending order.\nAnswer: 3, 116, 46874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuitiuitttttiiuiiit. What is prob of picking 3 t and 1 u?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656075?\nAnswer: 5, 7, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f + 6. Let d(b) = 17*b + 4 - 17 - 6*b. Let n(m) = 6*d(m) + 13*s(m). Let k(v) be the second derivative of 5*v**4\/6 + 3*v. Calculate n(k(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -8042\/67593, 0.2?\nAnswer: -8042\/67593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/20 + 26*y**2. Let u(m) = 14*m. What is u(q(s))?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + sqrt(2057) + 0 + sqrt(2057) + sqrt(2057))*5 + (-6*2*sqrt(2057) + sqrt(2057))*-5)**2.\nAnswer: -23100*sqrt(17) + 10079527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106413337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1146.0000002935 - 1146. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 + 3*f**3 + (2*f - f**2 - 2*f)*(7*f + 17*f + 11*f).\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742 is divided by 193.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from mmmdmmmddm.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*w + 389*w - 155 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 7*f - 2*f + 70, -4*p + 46 = -2*f for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493.51 kilometers in meters?\nAnswer: 1493510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -450 + 1102. List the prime factors of r + 6 + 21\/(-7).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(70)\/(sqrt(2)*-2) - sqrt(35))\/sqrt(7))**2*-5.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 4220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4216 by -62.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven fifths of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 - 2*j - 4. Let p be w(3). Let l(k) = 11*k**2 + 10*k + 3. Is l(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1989*l - 1993*l + 5*l**2 + 5*l**2)*(3 - 5 + 1) to the form y*l + v*l**2 + f and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g - 115. Does 4 divide d(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2625 and 13\/90.\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -1430*d + 1435*d + 3*p, -3*p = -1 + 16 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7\/(-119) + (3 - 606\/238).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 40. What is the remainder when 996\/7 - (14 + 1152\/(-84)) is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26143*b - 28*b**2 - 26143*b)*(0 + 0 + 4*b)*(3 - 3 - 3).\nAnswer: 336*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 182.61. Let j = 83 + -82.61. Let x = j - y. Which is the second biggest value? (a) x (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 4*t**2 - 11*t + 13*t + 69. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*d + 5152 = -5*d, 5*c - 3*d = 6441. What is the greatest common factor of c and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -16. Suppose -32 = -4*h - 2*o, -3*h + o + 13 + j = 0. What is the highest common divisor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*f, 0*g + 3*g - 5*f = -14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2\/7, 74, 0.4, 934 in ascending order.\nAnswer: -4, -2\/7, 0.4, 3, 74, 934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(44) + sqrt(11)) + (sqrt(1584) - (sqrt(1584) + -1)).\nAnswer: -6*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2987*a + x = 2991*a - 24, 20 = -5*a - 5*x. Let f(h) = -h**2 - h + 5. Let w be f(0). Solve -5*m = a*u + 17 - 6, -m = w*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -22, -73 in ascending order.\nAnswer: -73, -22, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 smaller than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -7\/8*u**2 + 11\/16*u**4 - 15 + 7\/12*u**3 - 1\/4*u**5 - 1\/2*u - 1\/6*u**6. Let f(o) = 0. What is o?\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-5) + 163\/5. Solve 0 = n - 4*j + 20, g = -0*n - 4*n + 4*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 999. Suppose f + 3*x - 5*x = w, 0 = 2*f - x - 663. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11452154531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -81*f + 470. Give c(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 386717915*w**3 - 594042943 wrt w.\nAnswer: 1160153745*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0 - -1 - 2). Suppose -2*n + 16 = 2*n. Suppose 5*z - 28*v = -32*v + 16, 0 = 5*z + v - 4. Solve z = -n*a - 11 - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 181883123 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**3 + 0*r - 1\/8*r**4 + 0 - 29*r**2. Let f = 4 - 10. Let s(n) = 6*n + 11. Determine f*s(p) - 11*v(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b - 11. What are the prime factors of y(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-20 - (9 + (-9 - -1)) - 14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -13*f + 12*f. Suppose -4*j - j + f = 0. Solve -y = 2*y - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23321 and -0.09.\nAnswer: 23320.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 567\/550?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.35512 - 19?\nAnswer: -13.64488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 81 = -7*q + 4*q, -2*q - 53 = -k. What are the prime factors of (-4)\/(-6) - q\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 (base 14) in base 15?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 13*v = 4*v. Let r be 48\/64 + 1\/4. Suppose v = -5*w + r + 9. Calculate the smallest common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 + 3*m**4 - 8*m**4 - 6*m**3 + (m**2 + 3*m**2 - 3*m**2)*(-344*m**2 + 158*m**2 - 195*m**2)*(-3 + 1 + 0).\nAnswer: 757*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.7492417 rounded to 2 decimal places?\nAnswer: 792.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*o**2 + 16\/3*o + 6.\nAnswer: -2*(o - 9)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2 and 25\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 17 = x + 2*s, 0 = 2*x - 5*s - 2. Let t = -9 - x. Suppose t = 24*v - 16*v - 168. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344595\/187 less than -1843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 390?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.266, 3, 4 in increasing order.\nAnswer: 0.266, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92045662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z - z)*(-1 + 2*z - 3*z - 1).\nAnswer: -2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -29*w - 27. Suppose 2*r = 3*r + 6. What is the hundreds digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 33617.\nAnswer: 3361.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557664 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 0, 1 in decreasing order.\nAnswer: 1, 0, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5917.31 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 52 = -137. Let u = 15 - h. Is u less than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 - 5. Let y = -6 + 9. Let a(o) be the second derivative of o**4\/12 + o**2\/2 - o - 1060. Determine y*a(i) + v(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2308 (base 9) to base 13.\nAnswer: -a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 287.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -401160195816?\nAnswer: 401160195814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4 - 2*m - 1 - m - m. Let d be (-6)\/15 - 27\/(-5). Suppose 2*y - 4 = t + 4*y, -t - 4 = d*y. Determine z(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -39, -41?\n\"Answer: -2*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 1036\/11. Factor -4\/11*d - i*d**2 + 0.\nAnswer: -2*d*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46251 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 19483363?\nAnswer: 9741681.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 3*h + 668 - 695.\nAnswer: 5*h - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.156 + -1.264. Let w = 1.42903 + j. What is w rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.667345 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/3125 - 335619\/3125. Let p = h + 1631\/15. Let 4\/3*o**2 - 8\/9*o**3 + p*o - 8\/9 = 0. Calculate o.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k + k. Suppose g - 2*g - 11 = -k*i, -g + 1 = 0. Suppose 0 = 3*l + 9, 2*l - 4 = -4*u + i*l. Let b(z) = -3*z - 3. Give b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 680*g - 50. Let a(p) = 21*p**2 - 4759*p - 358. What is 6*a(w) - 43*k(w)?\nAnswer: -3*w**2 + 686*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i + 6. Calculate j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-31*p + 8*p + p) - 2 - 2*p + 2 to d + l*p and give l.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-943)\/92 + 15\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36445, 36422, 36385, 36334, 36269, 36190, 36097?\nAnswer: 35990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4243688758 - -3.\nAnswer: -4243688755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 68. Calculate the least common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-128891)\/(-11) - 232\/638 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02921 rounded to 2 decimal places?\nAnswer: 6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by 218.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -3*u**2\/2 + 9*u + 674. Calculate o(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 619392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 2, h: 3, c: 2, f: 3, z: 4}. Give prob of picking 1 p, 1 z, and 1 h.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -73510.4, 2\/19, 1\/251.\nAnswer: -73510.4, 1\/251, 2\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40 and 77\/31772.\nAnswer: 317720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -417 + 439. What is the third derivative of 3*x**4 + 17*x**2 - 42*x**2 + b*x**2 + 17*x**2 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-11)\/((-44)\/(-48)). Let i be 3\/(-5) - 6\/n. Which is smaller: -1\/3 or i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/63)\/(180\/(-189)))\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2*1787 - (55 - 64). Which is greater: -5354 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -3*y - 2*a, 4*y - 3*a = y + 201. What is the greatest common divisor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/62 and -25\/279.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 2. Let s = -2 + 0. What is the units digit of w(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - -29. Let w = -87 + s. Which is the third smallest value? (a) 2\/19 (b) 2 (c) -5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47738 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50369555 a multiple of 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1170 + -1146. Let p = -32 + 22. Does 14 divide s\/p*770\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 + 9 = -2*b, -4*b = 5*x - 60. Solve -5*f = -10, 2*c = 4*c - 2*f + x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.95951 - -0.05049. Let o = u + -34. Which is bigger: o or -19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:40 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -1\/72*l**4 - 9*l + 0*l**3 + 0 + 1\/3*l**2. Solve p(i) = 0 for i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170444 is divided by 313?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 12*l**2 - 10*l + 3. Let m be g(13). Suppose 5*b + m = 8*b. Suppose -3*s + 49 = -b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - -146 - (-6 + 24 + 8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = 0, 2*m - c + 3 = 5. Factor 27 - 6*w**2 - 6*w**2 - 186*w + 0*w**m + 159*w.\nAnswer: -3*(w + 3)*(4*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 405*n**2 - 96*n + 9. Let u(m) = 101*m**2 - 23*m + 2. Determine -2*g(z) + 9*u(z).\nAnswer: 99*z**2 - 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149*s**3 - 2362?\nAnswer: -447*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2108*l + 2142. What is t(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63098801?\nAnswer: 37, 79, 21587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-6 - (-9)\/3). Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 977\/18 + -484\/9. Which is the closest to t? (a) 0.2 (b) 4 (c) 7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*d**3*x - 79*d**3 + 12692*d*x - 2*d wrt d?\nAnswer: -330*d*x - 474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 1. Suppose -2*b - b = r - 97, 126 = 4*b + 2*r. Let p(q) = 6*q + 6. Let w(d) = b*j(d) - 6*p(d). What is the units digit of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 592 + 97?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(-4 + (sqrt(175) + ((-3*sqrt(175) - sqrt(175)) + sqrt(175) - sqrt(175)))*2*-1))**2.\nAnswer: -2160*sqrt(7) + 56847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693714*y**2 + 1379839*y**2 + 711063*y**2.\nAnswer: 1397188*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3037 + 3079. Solve 24 = z*n - 36*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4 and -29\/43.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2581159 and -6972.6.\nAnswer: -2588131.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*t = 129, -2*c + 3*t = -135 + 24. Solve 0 = -0*r + 12*r + c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 70*n**3 - 1293*n**2 - 2380*n - 1156.\nAnswer: -(n + 1)**2*(n + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-5 - -6)\/1. Suppose 0 = -6*s - 4 + g. Is s != -1\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 13*o - 102. Let l(y) = -o*y**2 - 71*y + y**3 - 63*y + 138*y - 2. Calculate l(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2189661877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24268, 24287, 24306, 24325, 24344, 24363?\nAnswer: 24382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(1\/5)))\/r**(-1\/4))\/((r\/r**(1\/2))\/r)**(-32))\/(r*r\/((r*r*r**(-1\/2))\/r)*r*(r**(-3\/10)*r)\/r*(r**(-1\/3)\/r)**(-7)) assuming r is positive.\nAnswer: r**(-325\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, -1\/7, -1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62442891 to the power of 1\/2, to the nearest integer?\nAnswer: 7902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 27. Let m(f) = -6*f + 128. Let t be m(21). Suppose -22 = -3*s + 4*k, t*s - s - 4*k = r. Solve 13 - 5 = -s*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*a - 4 = -a, -5*v = 3*a + 5. Let z(h) = -9*h - 9*h - 20*h**2 + 17*h + 19*h**2. Let c(s) = -7*s**2 - 7*s + 2. Calculate v*c(k) + 6*z(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960\/11 < 560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.25 and 0.4.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i - 12. Let j(y) = -4*y**2 - 3*y + 35. Let o(s) = 2*j(s) + 7*m(s). Give o(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h - 233*h + 1220 + 5776 = 0. Solve -h*w + 130 + 178 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -18. Let k(n) be the third derivative of 0 + 0*n - 1\/3*n**3 - 1\/3*n**4 - 7\/120*n**q + 2*n**2. Determine i so that k(i) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 2.72. Let o = 0.78 + d. Let g = 4.11 - 0.11. Which is the nearest to -2? (a) -4\/5 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.17 - 0.17. Let r = i - 18.5. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 14*c**2 - 50*c - 475. Give v(-14).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-4\/3)*o)*o**7)\/(((o*o*o**(2\/3))\/o)\/o)**(-2\/31)*((o\/((o*o**(-2\/11)\/o)\/o)*o)**3)**(-4) assuming o is positive.\nAnswer: o**(-29468\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*x**2 - 300*x**2 - 101*x**2.\nAnswer: -543*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 9, n: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 8*h**2 - 9*h + 3. Let d be i(-9). Suppose 3*z + d = 33. Suppose -3*x = -131 - 199. What is the highest common factor of x and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -181 in 2\/7, -0.36, 1593?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122 - 122 + 10*u + (3 - 1 - 3)*(-2*u + 3 - 3).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 191921 - 31?\nAnswer: 1918a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -229. Calculate the remainder when w is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 5, -1\/2, 3\/5, 11\/7, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(30\/9 - 2). Suppose 3*t - 4*t = o + 1, 2*t - s = 0. Let x = o + 6. What is the smallest value in -0.5, -0.2, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**27*n)\/n*n)\/n**(35\/4) assuming n is positive.\nAnswer: n**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 265*m + 183*m = 127*m - 900 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 112. Let l(i) = i - 1. Determine 3*l(k) + r(k).\nAnswer: k + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 rounded to the nearest 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f*f)**(-31)*(f**0\/f)**(-5))\/((f**0*f*f\/(f\/(f*f**(-2\/5)))*f)\/((f\/f**(-1)*f)\/f)**(-2\/31)) assuming f is positive.\nAnswer: f**(-13711\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/56*3\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 1101708*z**2 - 1212*z + 1\/3 = 0.\nAnswer: 1\/1818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -368. Suppose y - 123 = 3. What is the highest common divisor of k and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 24*z**2 - 73*z - 30. Calculate u(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-27)*(-6)\/32. Factor 1\/4 - z*l**2 - 1\/8*l.\nAnswer: -(l - 1)*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 + 4. Let g be n(-5). Find the second derivative of -4 + g*l + 3*l**2 + 6 - 2 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 559*(-5)\/(-2)*(-6)\/(-5). Suppose -3*d + x + s = 0, x = -3*x. Round d to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33600 divided by 672?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + -1068 + -21 + 32. Is z at least as big as -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = 0, -3*b + 6*y = 2*y - 8765. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363625 divided by -25\nAnswer: -14545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 2. Suppose -3*f = -2*r - 6*f - 6, 4*f + 16 = 0. Let m(l) = -16 - r*l - 2*l + 0*l + 6. Give 2*m(c) + 11*z(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4538.\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*n**2*s**3 + 27*n**2*s**2 - 22830*n*s**3 + 941*n*s**2 - s**3 + 20*s**2 wrt s.\nAnswer: 240*n**2 - 136980*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/9460 and -7\/1100.\nAnswer: 47300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3432064, 13728248, 30888556, 54912988, 85801544?\n\"Answer: 3432062*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21114735 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4205880 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2 - 2 - 2*p**2 + 11*p**2 - 1 wrt p?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:18 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 2362*x**2\/3 - 25861*x\/3.\nAnswer: -x*(x + 11)*(x + 2351)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-38 - -14)) + (11 - 2 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*y, 5*f = -3*y - 21 - 3. Let o be (-1901)\/(-2847) + 2\/f. Let m = o + 35108\/4745. Find the common denominator of 71\/9 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1.93?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 426, 538, 650, 762, 874?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100001000 - -11100000?\nAnswer: 111111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-3) + 2752\/(-516).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*o + 93, 3*o = 5*k - 2*k - 75. Let s be (20\/12)\/((-20)\/o). Suppose -v + 70 = 5*m, -2*m + 9 + 19 = -5*v. Solve -3*q + m = s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -98. Suppose h = -2*u + 15, 2 = -5*u - 4*h + y. Suppose -12 = -10*c + u*c. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10159.0619 and -1636?\nAnswer: 11795.0619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 11*v**2 - 4*v + 23. Let a be n(-4). Let m(o) = -o**2 + 4*o + 3. Let p be m(-2). Is p at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (0 + sqrt(98)) - sqrt(98)) + -1)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - sqrt(187)*1 - sqrt(187))\/sqrt(11) - (5*(3 + sqrt(17)))**2.\nAnswer: -650 - 151*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - m - 2)*(79 + 5*m - 79)*(3*m**2 + 2*m**2 - 4*m**2) + m**4 + m**4 - m**4.\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:32 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -24489*n**3 - 11*n**2 + 2*n + 8. Let z be x(6). Round z to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -21*b**2 + 11*b - 12*b**2 - 11*b - 27*b**2. Let a(h) = -2*h. Give r(a(k)).\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:46 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 1582768.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15190 and 13795.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37234454, -37234457, -37234460?\n\"Answer: -3*i - 37234451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.059094800358 and 1.0629?\nAnswer: 1.121994800358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -6*h**2 + 1\/30*h**6 + 10 + 0*h**4 - h + 0*h**3 - 9\/20*h**5. What is the derivative of p(g) wrt g?\nAnswer: 4*g**3 - 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18833, 37638, 56373, 75002, 93489?\n\"Answer: -6*s**3 + s**2 + 18844*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 16 - 66 + 0*j**2 - 3*j + 3*j - 12*j to the form g + p*j + k*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008 less than 1456026760?\nAnswer: 1456026760.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44 (b) -270\/13 (c) -185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498481040?\nAnswer: 2, 3, 5, 7, 29, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28660.\nAnswer: 2, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*j + 32 + 13 = 0, -21 = -3*z - j. Let t(x) = 32 - 15 - 3*x + z. Let u be t(7). Solve -6*b = -u*b + 2*n, 0 = n + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 10708*n - 21432.\nAnswer: 4*(n - 2679)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 - w - 4. Let s be g(-6). Suppose -24 = s*k - 5*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*y**5 + 25*y**4 - 47*y**3 - 517*y**2 + 5221 wrt y?\nAnswer: 4860*y**2 + 600*y - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w + 7. Suppose 12*l - 95*l = 83. What is z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/7)*c)\/c)**(39\/7)\/(c*c\/(c*c**(2\/7)*c))**20)\/((c*c\/c**(-1\/2)*c)**(-19))**(2\/23) assuming c is positive.\nAnswer: c**(11163\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 17*c - 52. Let y be l(13). Let d(t) = 5*t + 329. What is the units digit of d(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1 + -1 - (-114)\/(-15) and -38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 567*k. Let z(v) = 11014 - 4*v - 11014. Calculate z(t(w)).\nAnswer: -2268*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 - 90. Let h = -8 - -6. Which is the nearest to h? (a) -3\/4 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i + 1374 = -5*r, -4*r - 17 = -4*i + 65 + 12 + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5002624 (base 9) to base 5\nAnswer: -1140043141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5223103 + 0.232.\nAnswer: -5223102.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -7445846?\nAnswer: -24\/3722923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 6*y - 6. Let d be m(-3). Suppose 0 = -d*h + 5*x + 7, h - 18 = -4*h + 2*x. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-225))\/(2\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 160*p - 318. Determine g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(((sqrt(80)*2)**2 - (sqrt(5) - (-3 + sqrt(5) + sqrt(20)\/sqrt(4))**2)) + -1).\nAnswer: -390*sqrt(5) + 10440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 4*g = -6*g - 6*g + 24*g - d - 6, 0 = 5*d + 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 2104, 4685, 8298, 12943?\nAnswer: 18620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -28. Let r(h) = 79*h**2 + 4*h + 1. What is the units digit of r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 - x - 1. Let o(u) = -30*u**3 - 36*u**2 - 15*u - 15. Let d(m) = 15*k(m) - o(m). What is the third derivative of d(v) wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from ppvppppppppdppp?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 9*i - 6. Let u be d(8). Let j(o) be the third derivative of 0*o + 0 - 1\/180*o**6 + 0*o**5 + u*o**2 + 2\/9*o**3 + 1\/12*o**4. Factor j(q).\nAnswer: -2*(q - 2)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*d + 16*l - 5*l + 11331 = l + 5*l + l, 6 = -3*l for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 3323?\nAnswer: 3327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:44 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6*((-28)\/(-12) - 1) and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqzqqqqzzz. What is prob of picking 1 z and 3 q?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*i + 3 + 403 = -92 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 19 = -t, 3*t - 4*x + 15 + 17 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:55 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244280 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 14 - 6 = 0. Is 8 + ((-6)\/z)\/3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + 6 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -52, -73, -92, -109?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-22)\/f*f*f*f*(f**38*f)\/f assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.992528 from 2530.254.\nAnswer: 2522.261472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*n + 58*n - 3936 = 30*n + 7*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 4*a. Let g be c(2). Suppose 4*x + m = -4*m - 9, 31 = 4*x - 3*m. What is the greatest common divisor of x and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = x + 4*u - 0*u + 3, 0 = -2*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3147803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0)**(2\/69) assuming b is positive.\nAnswer: b**(2\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -995*i**3*v**3 - 453114*i**3 + 38*v**4 wrt v?\nAnswer: -2985*i**3*v**2 + 152*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 6*d + 3*d)*(-1 + 0 + 2) + 0 - d + 0 - 3*d + 0*d + d - 2*d + 2*d - d)*(-4*d - 3*d + 2*d).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 489*b - 485*b + 14704. List the prime factors of ((-40)\/(-96) - (-2)\/(-3))*b.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -107, -3, 4, -4, -7, 19 in ascending order.\nAnswer: -107, -7, -4, -3, 4, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -15*q + 5340. Suppose 0 = 9*v - 194 - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/5 + 2*h**4 + 22*h**3\/5 + 4*h**2\/5 - 23*h\/5 - 14\/5 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l + 9. Let v(y) = -3*y - 7. Let o(p) = 2*h(p) + 3*v(p). Let r = 3 - 6. Determine o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 524605800?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 3. Let d(h) = -h**3 + 10*h**2 + h + 2. Let k be d(10). Let b be 15\/k + 6\/(-24). Solve x - q = -b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*w - 935, 0 = 3*m + 2*w - 190 - 370. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 + 15*(-23)\/115)\/(-1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n - 3*s, 5*s + 2 = 4*n + 3*s. What are the prime factors of (34 - 10)*n\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 4. Let p be (2\/3*-3)\/(-1). What is the third derivative of -o**4 - p*o**6 - 2*o**4 - a*o**2 + 3*o**4 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0347 - 67178?\nAnswer: -67177.9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -6, -0.08, -0.374, 1, -2?\nAnswer: -0.374","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -3, 1.44, -0.06, -2\/7, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5556378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let f(s) = 10*s**2 - 2*s - 328. Calculate f(m(y)).\nAnswer: 10*y**2 + 2*y - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.4 (c) 4 (d) -2 (e) -5 (f) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1.3, 5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21093233 by 21093233.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - r = 0, -2*i + i - 5*r = 0. Solve 5*p + i*h - 3 = -3*h, 0 = -p + 2*h - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -16\/9, 4, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (0 - 3)) + (5 - (58 - 50)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/290)\/((-667)\/6670)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let x(u) = -16*u**2. Determine l(x(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 1. Let k be ((-18)\/(-8))\/((-1)\/(-4)). Let b be t(k). Let n = b - -29. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**7\/840 - 7*o**4\/4 + 19*o. Let g(w) be the third derivative of b(w). Let v(n) = -n. What is g(v(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2394, 2391, 2390, 2391, 2394, 2399?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*h - 10, -4*h - 40 = 3*t - 7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -1129*a**4\/24 - 7*a**3\/3 + 165*a**2. Is h(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*d + 78, -4*b - 77 = -d - 2*d. Suppose 6*y - d = 29. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2752347 times -170\nAnswer: 467898990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9875*z**4 + 2949.\nAnswer: -39500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298555 + 291*d**3 - 298555)*(-3 + d**2 + 3).\nAnswer: 291*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 k when four letters picked without replacement from kzkzzzzzzzzk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b00 (base 14) in base 4?\nAnswer: 3320010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 0*p**2 + p**2 + 60*p**2 - 231*p**2 - 219*p**2 + (-3 - 3 + 5)*(2*p**2 - 4*p**2 + 3*p**2) + 1 - 1 - p**2 - 2*p**2 - 2 + 2.\nAnswer: -396*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - i = 3*r + 382, 4*r - 2*i - 508 = 0. Let j(d) = d**3 - 8*d**2 + 8*d - 56. Let h be j(8). Calculate the greatest common divisor of r and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*h - 0*h, 5*k = 0. Is h equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.112? (a) -2\/3 (b) 2 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h - 113. Let r be u(-21). What is the tens digit of (3\/2)\/(((-156)\/(-3056))\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2990 = 2984 - 5976. Solve 0 = 2*x + 5*q + 3, -6*x - w*q = -3*x + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(8\/5)\/(z**(2\/41)*z)*z*z\/(z**(1\/15)*z*z*z)*z*z*z*(z\/((z\/(z*z\/z**10*z))\/z))\/z assuming z is positive.\nAnswer: z**(-2777\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 4. Let l(x) = -x**2 - 2*x - 2. Give l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 18*c + 19. Calculate a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -470*y**4 + 130 with respect to y.\nAnswer: -1880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/185 - (-2227)\/(-6290).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 40 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 162\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78240)\/(-17930))\/((-9)\/(-165))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 5*c + 4*c)*(-2*c - 3*c + 3*c + (-2 - 3 + 7)*(-4*c + 4*c + c) - 14*c + 18*c + 42*c) as o + k*c**2 + i*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.69 - 2.49. What is the smallest value in -0.01, -2\/3, x, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465*-0.547\nAnswer: -254.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 - 2*c**4\/3 - c**3\/2 - 5*c**2. Let q be f(-16). Suppose 0 = -4*s - 2 + 18. Sort 2, s, q in descending order.\nAnswer: s, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -147004 and 1.\nAnswer: -147003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1595 + -1602. Let q = 115\/24 + -14\/3. Which is the fourth biggest value? (a) -5 (b) q (c) 3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -112?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 42 - 24. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528718.\nAnswer: 2, 264359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254250.\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 770, 832, 894, 956, 1018?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 681000 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 2. Let d be r(1). Let m = 11 + -21. What is the smallest value in d, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6426 and 2772?\nAnswer: 141372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-9))\/(2\/4). Let w = -6.3 - -6. Let f = w - -0.1. What is the nearest to n in 4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 12*j. Suppose 154 = 2*t - j*t. List the prime factors of t.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxnn when four letters picked without replacement from qxpnnq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v - 5. Is 7 a factor of d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 41. Suppose -2*h - 22 = -x. Factor -4*m**h + 12*m**3 - 15*m**3 - 2*m**2.\nAnswer: -3*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2645 - -2648. Let g = 7 + -5. Let c = g - 3. Sort -0.2, r, c.\nAnswer: c, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3171262, -6342464, -9513666?\nAnswer: -12684868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118818858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 42*q = -82894. What are the prime factors of q?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 0 - 38497\/1124*(-30)\/85\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4763\/1299*1653\/(-209).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*y - 5. Is 74*(y\/4 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*z**3 - 13*z**3 + 360*z**3.\nAnswer: 465*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 < 373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 60374327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 11*x - 1296. Let a = -79 + x. Solve -3*p + 4*t + 3 = 0, 2*p - a*t = 4*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 - 225 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/(h*h**(-1\/34)*h))\/((h**1*h*h)\/h)**29 assuming h is positive.\nAnswer: h**(-6049\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4 - 5805*k**3 + 956890*k**2 - 14512620*k - 15475320 = 0.\nAnswer: -1, 18, 178, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 3, n: 1, p: 3, z: 1}. What is prob of picking 1 p and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**8\/60480 + x**7\/7560 + x**6\/1620 - x**4\/3 - 29*x. Let z(b) be the third derivative of t(b). Factor z(w).\nAnswer: -w*(w - 4)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:49 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7005.1 * -2\nAnswer: -14010.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, l: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a\/(a\/(a*a*a*a*(a**(-6)\/a)\/a*a)*a))\/a*a*a*a)\/a*a)**(-34) assuming a is positive.\nAnswer: a**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 0 = -3*w - c*z + 15, 0 = 5*w + z + z - 19. Suppose 4*h + 2*d = 4*d + 44, -2*h + w*d = -18. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 24 = 26*i + 4*q, 2*i - 2*q = -12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71570, -143124, -214680, -286238, -357798?\n\"Answer: -m**2 - 71551*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 464.8*0.3648\nAnswer: 169.55904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2695.5, -0.4, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 377.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.676\nAnswer: -0.1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + -8 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t + 37. Determine b(-9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 0 + (-30 - (-56 - -24)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -27. Suppose -7*u - 176 = -4*k, 10*k + 4*u = 9*k + 113. What is the remainder when k is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 7*v + 9 - 15*v. Let m be j(5). Let t(a) = 2*a**2 - 4*a - 2. Is t(m) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/2)*v**(11\/7)*(v*(v*v*v**(3\/2))\/v*v)\/v**4 assuming v is positive.\nAnswer: v**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -217, -209, -199, -187, -173?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1738*i - 336 wrt i?\nAnswer: 1738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5549 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 570 = -90. What is the highest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391797402?\nAnswer: 2, 3, 17, 89, 43159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + a = -82, -7*a = -k - 4*a - 26. Let p be 2\/(-6) - (-52)\/(-6). Is k\/(p\/6 + 1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14340 - 14333. Sort 2, 5, 4, i in descending order.\nAnswer: i, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 0*o + 28 = 6*h, -485*h + 480*h + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 - 4*u**4 + 3*u**4 + (u - u + 2*u)*(u**2 + 34*u**2 - 6*u**2)*(10*u - 15*u - 3*u) as h*u**4 + a + g*u**3 + y*u**2 + d*u and give h.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3784703 is divided by 1408?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -352a7?\nAnswer: -352a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -1, -2, 1, -14\/3 in decreasing order.\nAnswer: 5\/2, 1, -1, -2, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 105079*l**3 + 1277*l**4 - 105079*l**3 + (1 - 1 + l**4)*(-3 + 4 + 1).\nAnswer: 1279*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:22 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -993*h + 4810*h - 1242 = 155255 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 1425 - 8933 - 502 = 0. What is the remainder when y is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0628 + 31.1628. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.8 + -20. Let u(d) = -6*d**3 - 3*d**2 + d + 2. Let w be u(1). Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -0.2, -1, 53616 in decreasing order.\nAnswer: 53616, -0.2, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2058 is divided by 1087.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 119.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 equal to -3252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640\/78 + 4\/26 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12912256 and -97\/38736768.\nAnswer: 38736768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f + 11. Let s(r) be the first derivative of -95*r**3\/3 - 7051. Give t(s(a)).\nAnswer: 950*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -149*r + 623. List the prime factors of a(-20).\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53.914 + 53.814. Let n = -5 + 3. What is the third smallest value in j, -5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -70. Suppose -17*q + 18*q = -h. Let x be (-3)\/33 - (1 + -1). Which is the nearest to q? (a) x (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203974\/315 <= -649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 405, 632, 951, 1362?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3767*o - 3774*o = -21. Suppose 23 = 5*h - t - 3, -4 = 4*t. Factor -7*j**4 - j**4 + 4*j**o + 14*j**h - 10*j**5.\nAnswer: 4*j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*t**2 + 5*t - 142 wrt t?\nAnswer: -12*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267 + -37. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 757 + -10581\/14. Calculate the common denominator of 109\/18 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4))**(-2\/139)\/(a**(5\/2)*a**(-4\/7)*a))**(-39) assuming a is positive.\nAnswer: a**(217893\/1946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -84 - -0.028729546\nAnswer: -83.971270454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-10)\/18)\/(248\/(-186)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/16524*(-51)\/18.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45499693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.058*0.5\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 38, 114, 254, 476?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -11*s**4 - 141*s**3 + 2*s + 177. Let n(b) = 12*b**4 + 145*b**3 - 3*b - 177. Let l(u) = -5*n(u) - 6*z(u). What is the second derivative of l(i) wrt i?\nAnswer: 72*i**2 + 726*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.686143 nanograms in tonnes?\nAnswer: 0.000000000000001686143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 57*c**2 - 342*c + 400.\nAnswer: -(c - 1)*(c + 8)*(c + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*i + 5, 5*i = 5*k + 3 - 28. Suppose k*n + x = -n + 100, -2*n - 3*x = -76. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -596144 by -7844.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9*s + 348. Calculate the greatest common divisor of s and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 15*g - 26. Give q(-19).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 64.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*q + 3. Let g be -3 - (-4 - q) - -6. Suppose -g*a = 5*u + 16, 0*u = -a + 5*u - 29. Let p(k) = k**2 + 7*k - 7. Calculate p(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 1 + 9 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -25, -15, 9, 53?\n\"Answer: a**3 - 2*a**2 + a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147340.\nAnswer: 2, 5, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 2\/9, -3, 0.258?\nAnswer: 0.258","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -231, -301, -401, -537, -715, -941?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1305591 = -108*v - 193407. List the prime factors of v.\nAnswer: 2, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -2*m**5 + 2*m**3 - 21. Find the third derivative of x(w) wrt w.\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.2602 times -2183?\nAnswer: -26764.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -2, 0.3, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 345.5.\nAnswer: 346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 2. Let l(u) = -2*u. Give l(w(c)).\nAnswer: 14*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38825127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000992355959 to seven decimal places.\nAnswer: -0.0000992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 39 = 2*j. Solve j*q = -2*i - 6, 0 = 5*i - 5*q - 24 - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 101, 108, 129, 170, 237?\n\"Answer: u**3 - 2*u**2 - 2*u + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19297817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {k: 2, t: 2, n: 6, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 238, 951, 2140, 3805, 5946?\n\"Answer: 238*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + i - 68, 194 = 5*l + 5*i + 29. What is the remainder when 99 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151\/55 - -28\/11. Let j = 154 + -150. Put -3, h, j in decreasing order.\nAnswer: j, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -50, -1, -2\/69, -5.9 in increasing order.\nAnswer: -50, -5.9, -2, -1, -0.5, -2\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 337133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51411283 and 4389.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**3 - 105*r**2 + 174*r.\nAnswer: 3*r*(r - 2)*(3*r - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-66 - -37) - -45?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(-2 + -2 - 1). Let t be -55 - 0 - 2\/(-1). Let f = v + t. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -1, -6, 5 in descending order.\nAnswer: 5, -1, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1979, -7880, -17715, -31490, -49211, -70884, -96515, -126110?\n\"Answer: -j**3 - 1961*j**2 - 11*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*w - w + w**3 + 35*w**2 - 2*w + 1 + 1 to the form k + v*w**2 + y*w**3 + p*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 389*d**2*s - 190*d**2 with respect to s.\nAnswer: 389*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 f when four letters picked without replacement from fllfflllllflffcll.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -721*b**2 - 6*b - 6. Let f(j) = -348244*j**2 - 2896*j - 2896. Determine -3*f(n) + 1448*x(n).\nAnswer: 724*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4682 in -5, -4, -2\/19, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 - 12*l**2 + 28 + 14*l**2 + l - 6 + 17 in the form n*l**2 + p*l**3 + k + z*l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8692350 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18647.88 * -0.001\nAnswer: -18.64788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/181116 and -7\/201447.\nAnswer: 450435492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 327 = z - 4*a, -2*z - 5*a = 699. Is (z - (-3 - -5))\/(6\/(-4)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 427*z + 5921. Calculate c(16).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 - 1. Let b be 6\/30*(-1 + 26). Suppose f + l - 4 = -2*l, f + b*l = 8. Determine q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (0 - 0) - -3. Suppose b*r = r. Sort -5, -3, r in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 2*p**2 - 89*p + 27452. Is b(0) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2814 + 2814. Let d = 0.8 - 0.95. Let f = -13.15 - d. What is the second biggest value in -1, f, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqzoqzoqzz. Give prob of picking 1 o and 2 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose -55*v = -62*v + 28. Solve -5*r + 29 = -v*o, 4*r = -5*o + 13 + x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 13720.\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:08 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25542 - 9*v**2 + 25542 + 3*v**3 + 11*v**4 to the form j*v**4 + g*v + c*v**3 + w + y*v**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*x + 307. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1203.26?\nAnswer: 120.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 0*k = -420. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164*c**2 - 4336*c**2 + 2124*c**2.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8517650 and 1600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259953526 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhm. What is prob of sequence jmh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/1276 and -2*(90\/72 + 84\/(-49))?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m)*(199 + 181 - 57).\nAnswer: -323*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -859.0528 rounded to the nearest ten?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 3*s**2\/2 - 2. Let o(n) = -2*n. What is t(o(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and 33?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294605 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49161.49ml?\nAnswer: 49.16149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 7}. Give prob of picking 1 g and 1 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 1, a: 2, x: 4, j: 1}. What is prob of sequence akka?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*j + 44738 = -312*j + 73730 + 66099 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5683\/2 + 2685. Let b = t - -157. Put 1, 0.04, b in descending order.\nAnswer: 1, b, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-41)*(-1)\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:11 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n - 1. Let j(m) = 7*m**2 + 4*m - 1. Let a(t) = 8*t**2 + 4*t. Let f(y) = 5*a(y) - 6*j(y). Calculate -f(d) - 4*u(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13719)\/(-34)*(-4000)\/(-3). Round p to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*s - 166805537*l - 296472*s - 26 with respect to l.\nAnswer: -s - 166805537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 25*n**3 - 67*n + 95*n - 49*n + 3 as i*n + k*n**3 + r + c*n**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - 1 - (-11 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 417903892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*o**4 + 21*o**3 + 40*o**2 - 844*o - 1101 wrt o?\nAnswer: -1752*o**2 + 126*o + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4774*m + 462. Let a(s) = 154*s - 15. Give 154*a(p) + 5*c(p).\nAnswer: -154*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136, 218, 430, 838, 1508, 2506, 3898?\n\"Answer: 11*y**3 - y**2 + 8*y + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1151*i**2*z**2 - 69*i**2*z - 4*i**2 + 2*i*z wrt z?\nAnswer: -2302*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 10*y**3 + 128*y**2 + 568*y + 576.\nAnswer: -2*(y - 8)*(y + 2)**2*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 f when four letters picked without replacement from cfwcskkkckcckc?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9)*15\/(-10))\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -994 or 438006?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 + 5*g**4\/12 - 4*g**3 - 1167*g**2. What is k(-6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + n)*(-n + n + n) - 5*n**2 + 5*n**2 - 13*n**2 + (2*n + 2*n**2 - 2*n)*(5 + 1 - 5) as k + x*n**2 + o*n and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhxj when four letters picked without replacement from {h: 5, j: 3, x: 2, d: 9}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(80) - (sqrt(80)*1 + 5) - (sqrt(80) + sqrt(80)*-1*-2)*-2*6)**2.\nAnswer: -2880*sqrt(5) + 103780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1618*v + 7685. Give s(-5).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 6. Let m(s) = -s - 1. Let l(z) = -d(z) + 6*m(z). Let n(w) be the second derivative of 0 + 2*w + 0*w**2 + 1\/6*w**3. Determine n(l(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21*-48800\nAnswer: -1024800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25796114.00023 - 25795901. Let l = d + -213. What is l rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-2))\/270)\/((-2)\/55)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(1008))*5)\/(sqrt(27)\/sqrt(147)).\nAnswer: 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5. Which is the second biggest value? (a) g (b) -0.2 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 284073 + -42614. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12 + 4)*((-39)\/(-4) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1218 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309720 and 12?\nAnswer: 309720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 71 + 1123 + 620 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)\/m)**(-14))**(1\/5) assuming m is positive.\nAnswer: m**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 - 13*c + 20. Let r = 26 + -12. Let v be i(r). Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 2*g - 1. Let i be m(7). Suppose 4*p - 549 - 131 = 0. Let c = i + p. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -42*n. Let z(m) = -9*m. Let u(b) be the second derivative of 4*b**3\/3 + 32*b. Let s(a) = 6*u(a) + 5*z(a). What is h(s(t))?\nAnswer: -126*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57429, -114847, -172265?\n\"Answer: -57418*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-914)\/63523 - (-18375)\/(-27105).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/21*140\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*z + 252, 134 = -5*z + d - 103. Let w be ((-46)\/(-4) - 1)*z\/(-14). Let -w*n**4 - 25*n**2 + 195\/2*n**3 + 7\/2*n**5 + 0*n + 0 = 0. What is n?\nAnswer: 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddl when four letters picked without replacement from lldddddd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242223 (base 6) to base 8.\nAnswer: 51407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) 6 (c) 4.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -1.3?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*d - 292*d + 2 + 18 + 3 - 7 - 28.\nAnswer: 6*d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 440068313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000088929498 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j. Let a(m) be the first derivative of 9*m**2 - 1\/30*m**5 + 1 + 0*m**4 + 0*m + 0*m**3. Let p(u) be the second derivative of a(u). What is w(p(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 39.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, k: 12}. Give prob of picking 2 r.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*y**2 + 659*y**2 - 226*y**2 - 217*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/2296*24*(-4)\/(-60))\/(-2).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + -4 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*w + 8 + 3, 2*w - q + 11 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/73085 - -1476377\/4385100. Find the common denominator of -91\/600 and l.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -594.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i + 7. Suppose -i + 3 = -v. What is the greatest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22042157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:46 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282038 and 4549?\nAnswer: 282038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -8. Let h(k) = 6 - 2 - k - d*k**2 + 8*k**2. Let c(q) = 2*q**2 + 2*q - 7. What is -4*c(g) - 7*h(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/3 + 28*d**4\/3 - 56*d**3\/3 - 628*d**2\/3 + 2618*d\/3 - 1960\/3 = 0.\nAnswer: -5, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-18)\/144 + (-10)\/48. Put 12, z, 0.02 in increasing order.\nAnswer: 0.02, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1515217 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2902192, -2902288, -2902384?\n\"Answer: -96*m - 2902096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 29 = w - 5*w, -4*v + 12 = 0. Let b = w + -3. Let c = 10 + -7. Solve -5*f - c = u - 14, -5*f = -b*u - 35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 - 373046*j**2 + 373046*j**2.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 5. Let j be (-1700224 - c\/1) + 3. Let u = j + 5500219. Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let x(c) = -20100*c**2. Calculate l(x(o)).\nAnswer: 404010000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 522*f**4 + 2*f**3 + 11*f + 424.\nAnswer: 6264*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzzraxz. Give prob of sequence ax.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 27*w**6\/2 - 2*w**3\/3 - 133*w**2\/2 + 183. Find the second derivative of v(b) wrt b.\nAnswer: 1620*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 - 6*d**2 - 2*d. Let x = 4 + -10. Let l(v) be the first derivative of -25 - 5\/3*v**3 - v**4 + 0*v - 1\/2*v**2. Give x*l(y) + 5*h(y).\nAnswer: -y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29792?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:04 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h - h**2 - 24*h + 6*h as g*h + j + t*h**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18214079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 + 36*s**3 + 12*s**2 - 576*s + 768 = 0. What is s?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 159b6417?\nAnswer: -159b6403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (50\/(-775))\/((-1)\/3*-2). Let n = -145787\/8 + 4521219\/248. Let v = k + n. Which is smaller: 8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 - 574263*v**3 - 5 + 7*v + 574286*v**3 - 3*v**4 + 3*v**4 in the form f*v + i*v**2 + n*v**3 + h*v**4 + w and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u + 14740 = 260*u + 338 - 19231 for u.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 351?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 272 - 48 = 0. Calculate the greatest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-12))\/(1\/6). Suppose 2*d + r*d = 0. Find the second derivative of -5*g + 3*g**5 + d*g**5 + 0*g**5 wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Suppose -3*a - d*a = 10. Let q(f) be the first derivative of f**2\/2 - 5. Determine q(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-241)\/9 + 2\/(-9). Let r = f - -27. Solve b = -r + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and -9539 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -7)*-7*1 + 5 + -2. Let u(y) = -5*y**3 - 21*y**2 + 2*y + 7. Determine u(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4591*f + 4586*f - 55 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 11. Let i be (24\/9)\/(-2)*6. Let m be z(i). Let w = m - 1. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -67*c. Suppose 0 = 3*v + 4*s + 22, 12 = -4*v - 2*s + s. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1117 + -3392\/3. Let y = -14 - v. What is the third biggest value in 5\/6, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*m - 2*w - 4, -3*w - 10 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(-4)*-3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 12) to base 3.\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*d = -40, -d + 2*d = 2*q - 1. What is the units digit of (3\/(q\/(-46)))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(24 + 24 + 69)*(-5*n**3 - 10*n**2 + 10*n**2).\nAnswer: 1170*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -383 + 585. Find the common denominator of 107\/76 and (c\/9)\/(40\/(-6)).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**6 + 310955*f**4 - f**2 - 4179*f - 429 wrt f.\nAnswer: -960*f**3 + 7462920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 + 6*s**2\/5.\nAnswer: 3*s**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o + 29. Let g(q) = 56*q - 144. Let h(d) = 5*g(d) + 24*v(d). What is the hundreds digit of h(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 272*b**3\/3 - b**2\/2 + 1228*b. Let z(h) = -3*h**2. What is z(v(n))?\nAnswer: -887808*n**2 + 3264*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8111, -32436, -72969, -129710, -202659, -291816?\nAnswer: -397181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 380 and 114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 513*v**2 - 24*v + 43. Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 6*x**2 - 7*x + 2. Suppose -2*i - 4*j - 6 = -0*j, 0 = 2*i + 2*j + 10. Let m be a(i). Solve 4*r - 5*z = -30, -r + 3 = 5*z - m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935263 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1131 and 3776844?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2791.9998657 - 2792. Round l to 6 decimal places.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 808790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 + 2*n**5 - 2*n**5 + (-3*n**3 - 1 + 1)*(-2*n**2 + 8 - 8).\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g - 762 + 762 + 9277*g**3 - 10*g + 2*g - g**3 - 2*g + (2*g**2 - 2*g**2 - 2*g**2)*(1 - 1 + 2*g) to l*g**3 + m + z*g + h*g**2 and give l.\nAnswer: 9272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4788 and 1008?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k + 18*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from ykykkyykykyykyyykyy?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*g - 270*g = 312. Calculate the greatest common divisor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bynlbmo. Give prob of sequence onym.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0092915311 rounded to 6 decimal places?\nAnswer: 0.009292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19 or -3830?\nAnswer: -3830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -181521 (base 9) to base 7\nAnswer: -646354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 355343040 by -390.\nAnswer: -911136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 31 = k + 24, -k - 81 = -3*q. Calculate the greatest common divisor of q and 3146.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -16*x - 3. Let w be (-5 - -3 - -3)*x*-9. Let y = w - -119. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(15*6\/(-5))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 31. Let v(h) = 2318*h. Calculate r(v(q)).\nAnswer: -5373124*q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000112204763 rounded to 7 decimal places?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/19836 and 35\/19836?\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 261?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1496, 4, -217 in descending order.\nAnswer: 4, -217, -1496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*k - k. Let a = k - 7. Is 1\/(a\/66*3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*n - 261952 = 2334*n for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 3*v**2 + 3*v. What is the remainder when 34 is divided by l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 3721?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0*4\/6*3\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.8. Which is the third biggest value? (a) h (b) 5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.036212 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5089.4 - 5089. Which is the fifth biggest value? (a) 0.06 (b) -0.04 (c) -1\/12 (d) l (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 6. Let u be f(5). Suppose -u*g = g. Suppose g = -l - l + 30600000. Round l to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.8 + -5.2. Let q = z + 26. Which is the smallest value? (a) q (b) 5 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 - 0.1. Let x = 0 + n. Let o = -3 - x. Which is the closest to o? (a) 1\/3 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38170*r + r**3 + 0*r**2 + 38156*r + 2 - 5*r**2 - 6*r**3 as l*r + v + t*r**2 + c*r**3 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.297. Let o = 0.0970114 + i. What is o rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6191200 at least as big as 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 9:20 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h + 1. Let t(y) = 9*y + 1. Let a(z) = -3*o(z) + 5*t(z). List the prime factors of a(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10140\/1692 + -6)*(-210)\/35.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + -56 + (3 + -11 - 8)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5298 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -531 and 14642.\nAnswer: -7774902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 + 2. Let h be r(4). Suppose -h = 3*k + 5*s, 0 = 2*k - k - 2*s - 14. Solve 0 = z + z - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 277376422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 + 0 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 1012 = -2860. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146459 - 146459 - 4*i**2 - 2*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1 + -1)\/8). Suppose 2*b - 3*v - 74 = 0, 0*b + 136 = u*b - 3*v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385.0319 rounded to the nearest ten?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-44)*(-1190244)\/(-3048)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1138, -4800, -10900, -19438?\n\"Answer: -1219*q**2 - 5*q + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let a(f) = -29*f**2 - 2*f + 2. Determine -a(x) - 4*h(x).\nAnswer: 29*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 4) + 11 + -7 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22*s - 1. Let f be u(1). Let h = f - 11. Suppose 20 = 5*t - h. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/7 + 272*o\/7 = 0. What is o?\nAnswer: -136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k + 3. Let g(f) = -10*f - 4. Let x(j) = 4*c(j) + 3*g(j). Let m(y) = -y. Calculate x(m(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 613*y - 3179. Give r(9).\nAnswer: 2338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30943, -61975, -92981, -123949, -154867, -185723, -216505, -247201?\n\"Answer: 2*f**3 + f**2 - 31049*f + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 58*l + 58*l - 52 - 55 + 27.\nAnswer: l**2 - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 72 = -6*d. Let j be 196204\/d + (-2)\/(-3). What is j rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let s be i*5*(-2)\/4. Let n = 245\/4 + -61. What is the closest to n in s, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000216 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 49*h**2 - 576*h + 22. Is f(23) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -265\/4. Let n = -2.03 - -2. Let a = n + -0.07. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (816\/40)\/((-4)\/(-10)). Suppose n*b = 31*b + 32980. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 42. Suppose 17*w + 23*w = -192 + 952. What is j(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 5*f - 5*f)*(-9 - 109 + 655).\nAnswer: 1611*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -275900 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 593163 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 68 - 47*p**2 - 68.\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((-1)\/1)\/(-1) + -18. Let k be i*-15*(-2)\/(-8). Let p = 38 + k. List the prime factors of p.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:09 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 1. Let k(w) be the first derivative of 6*w - 117 - 15\/2*w**2. Calculate -11*i(g) + 2*k(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-2) + 2\/(-4). Suppose l*c = -2*c + 25. Suppose -c = -h - 0. Let t(s) = -s**2 + 6*s + 3. Determine t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 0.073\nAnswer: 1.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 26974791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:17 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 4*k**2 - 2*k**2 + 9 + 10 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:04 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 70.6?\nAnswer: 105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/800 + 5791\/800. Calculate the common denominator of y and 95\/1924.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7013029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*n - 130 = 0, -5*w + 4*n = -90 - 126. Let l be 4\/3*198\/w. What is the units digit of 4 - (-1 + -2 + l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -173716220 and -0.06.\nAnswer: 10422973.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 21*v - 22. Let b = -208 - -217. Let l be r(b). Solve l*i + 15 = 0, -j + 0*i = -3*i - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8930*y**2 + 1089320*y**3 - 8930*y**2.\nAnswer: 1089320*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1244754 (base 8) to base 14.\nAnswer: 90456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25902, -25915, -25926, -25929, -25918?\nAnswer: -25887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065481 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 23. Let r = 4 + h. Calculate the smallest common multiple of 2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -122. Suppose -j - 4*j + 10 = 0. Let r = 3 - 3.05. What is the biggest value in k, r, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:06 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 4*k - 3. Let c be q(-2). Let p be c\/((-2)\/(-259 - -1)). Suppose -p = -5*g - 9. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c - 680. Determine i(47).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12 + 39 + 6*h - 9*h + 2*h. Calculate the lowest common multiple of l(21) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -21\/4, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-259)\/(-74)*((-16)\/10)\/(-4)*-5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-5 + (sqrt(112)*-1 + sqrt(112))*-4)*-5*-6 + 5)**2)*-5.\nAnswer: -105105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6aa + f?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30741438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -5 in decreasing order.\nAnswer: 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, 72, 237, 488, 831?\n\"Answer: r**3 + 34*r**2 - 24*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 2. Suppose 0 = -l + 4*l + 6. Let j be z(l). Find the third derivative of 4*k**2 - 4*k**6 + j*k**6 - 5*k**2 wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*n = 197*n - 56. What is the smallest value in n, -0.3, 369?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-9) - -4 - (-1425)\/(-45). Let m = y + 87. Suppose -3*w - 2*j = 104 - 515, -120 = -w + 5*j. What is the greatest common factor of w and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -5. Let c = r - -16. Let 22*h**3 + 0 - 40\/3*h**2 + 8\/3*h - c*h**4 = 0. Calculate h.\nAnswer: 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 26930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-7)*f)\/f)\/f**1)\/(f**0*f)**(-45)*((f*(f*f*f**(-4)*f)\/f)\/f*f*f**(-4))\/(f*f*f\/((f*f\/(f**(-2\/7)\/f))\/f))**39 assuming f is positive.\nAnswer: f**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**4 - 6*r**4 + 3*r**4 + (6 - 3 + 6)*(r**2 - r**2 - 2*r**4)*(3 + 1 - 3 + 3 - 4 + 0 + (0 - 2 + 1)*(-1 + 1 + 1) - 8 + 0 - 2).\nAnswer: 190*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/4 + 699\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 864 - 19*b + 67*b - 48*b to s + m*b + w*b**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(((-1140)\/(-18))\/(-5)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27575.\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(126\/68)*(-49)\/4900*-175.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 303 - 2719\/9. What is the common denominator of 2 - 2 - (-296)\/(-40) and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121477 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 94*p**2 + 128*p - 528. What is the least common multiple of 22 and o(4)?\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 3*o**2 + 4.\nAnswer: -(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*5 - sqrt(33)\/(sqrt(11) - sqrt(11)*4).\nAnswer: 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*b - 93*b = -10. Is (3 - (-77)\/(-21))\/(b\/177) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -501*r**2. Let g(x) = -x - 5 - x + 3 + 2. What is n(g(y))?\nAnswer: -2004*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - -1?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35320968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-10)*305\/(-732)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooookoookkoooo. What is prob of sequence ooko?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + z)*(-10 + 34 - 7)*(-2 + 1 + 3)*(3 - 1 - 6).\nAnswer: -136*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11191*y**3 + 4*y**2 - 131*y - 201 wrt y.\nAnswer: -67146*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(-2*c + 2 - 2) + 3569*c + 547*c - 818*c as t + q*c and give q.\nAnswer: 3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6552, -6589, -6610, -6609, -6580, -6517, -6414, -6265?\nAnswer: -6064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 15\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 18*v - 14. Let r be h(17). Solve r = 3*m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32423 - 0.19423. Sort -4, -3, u in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c - c + 6 - 3*c. Let i be x(-6). Let p be (-2)\/(-1) + -2 + i. Is -1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001482859 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102363947 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4138067, -8276123, -12414179, -16552235, -20690291, -24828347?\n\"Answer: -4138056*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 7*i + 6. Let z be m(-4). What is the second biggest value in 1\/3, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -208431 = 2\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20720)\/362600*28\/6.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 3, n: 1, b: 2, k: 1}. What is prob of sequence xn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5))**(-3\/8)\/(w\/w**(-6))**(22\/5))**(-6\/11) assuming w is positive.\nAnswer: w**(3687\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-544)\/(-51)*(0 + 3\/2). Suppose 24 = 4*j + z. Suppose -62 + 8 = j*x. What is the nearest to 0 in -0.2, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*h + 16, -4*h + 1 = -5*b + 3. Let d be h\/12 - (-138)\/36. Suppose 20 = d*r + 3*u - u, -3*u = -5*r + 47. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 8:57 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-7)*(-6)\/(-135)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by -15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/12 + 2*l**2 - 44. Let g(z) = 13*z**2. Calculate g(s(h)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208919 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -172, 3, -5, 4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 1042777 = -29*p + 1271966. What are the prime factors of p?\nAnswer: 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161\/4 + -40. Let h be 6615\/15876*4*(-2)\/(-2). Which is the fourth biggest value? (a) -5 (b) u (c) h (d) -3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*90\/(-50)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5478 + 6966 + 83076 + 40187 = 1031*v for v.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1)*6.\nAnswer: -6 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/2)\/(3\/6). Let k(a) = -14*a + 3 - 11*a - 11*a - 7*a + a**2 + 53*a. Give k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/3)\/n)\/((n\/(n*n\/(n*n**(-1\/7)\/n)*n*n*n)*n)\/n*n*n)*(n**(-4\/3))**(-7\/6))**38)**40 assuming n is positive.\nAnswer: n**(194560\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -12. Suppose -7*l + 3*l + 32 = 3*o, -t*o - 8 = -l. Let b be (-1 + (l - 1))\/1. Are 5 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + -5*-1*sqrt(75) - (sqrt(75) - (sqrt(75) + (0 + sqrt(75) - sqrt(75) - sqrt(75)) + 4)))**2.\nAnswer: 240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**3 + d**2 - d + 8. What is the tens digit of i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00141399 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -12*q**2 - 303*q + 2270. Determine o(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 e, and 1 a when four letters picked without replacement from aceessnenncconnss.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33984141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -119.9. Let p = -134\/11 - -424\/33. Which is the nearest to 0? (a) p (b) 0 (c) t (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (1 - 3)) + -9 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Solve -3*r + d = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148902207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17204 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.20631 micrograms to milligrams.\nAnswer: 0.01220631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*y + 45956 = -313*y - 4144 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9500 divided by 1900\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193114205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7 - 1. Let z = 2 + -2. Suppose -5*b + 5*v + 5 = z, 3*b + 0*v = 5*v - 1. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 23*w**4\/24 - 19*w**3\/3 - 20*w**2. What is the units digit of d(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(-1)*7\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 2*k - 3. Determine j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 2:35 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 6*d**2 - 3*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 2. Let m(h) = 3*h**3 + h + 1. Suppose -3*n + 5*n + 2 = 0. Let j be m(n). What is r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) + -3 + (-96260)\/(-31152). Let a = 1\/118 + c. What is the nearest to 2\/5 in 1, a, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-18) + (-4)\/6. Let v = 1 - h. Let w = 3 + v. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1475 = -65*u - 146*u + 5488 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3509 and 107\/1276.\nAnswer: 14036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1477, -2954, -4431, -5908, -7385?\nAnswer: -8862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*d = 575 + 3051 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 29*q**2 + 17*q - 118. What are the prime factors of a(-11)?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 15 = 12*i. Suppose -1 = -w, 2*w = i*u - u - 130. Suppose 7*k - 3*k = -h + u, 0 = h - 2*k - 42. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-48))\/((-130)\/1240) + -602 + 610?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13937385 divided by -3\nAnswer: 4645795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 97226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8354238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -3*sqrt(1377)*4).\nAnswer: -540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4791d0 + 1?\nAnswer: -4791cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/8 + 2235*c**3\/4 - 1660599*c**2\/8 - 833655*c\/2 - 417387\/2.\nAnswer: -3*(c - 746)**2*(c + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 49*l**2 - 35*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 10. Is 130 - (k\/(-2))\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {b: 8, x: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -11*j**2\/2 - 31*j - 1459. What is c(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m - 3*h + 31 = 0, -h + 47 = 5*m. Calculate the remainder when 88 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 237.7583ml?\nAnswer: 0.2377583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = 23. Let h = -6 - -14. Let u be 1 - 1 - 4\/h. Which is the biggest value? (a) u (b) j (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 - 4*y**3\/3 + 19*y**2\/3 - 14*y\/3.\nAnswer: -y*(y - 2)*(y - 1)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9196, 9226, 9264, 9316, 9388?\nAnswer: 9486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**2 + 63*x**4 + 2*x**5 + 52*x**4 - 121955 + 122082 + 3*x**5 + 2*x - 3*x**2 wrt x.\nAnswer: 300*x**2 + 2760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534241957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((5\/3)\/((-7)\/21))\/1. Calculate the remainder when 46 is divided by (8 - (-336)\/(-30))*r\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7381932 is divided by 1845448.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) - (220\/(-8))\/11. Let b be 1\/(-4 - (-546)\/136). Find the common denominator of 75\/16 and (s\/(-20))\/(b\/(-1010)).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 4*j. Let d be 3*-2*(-3)\/(-3 - j). Let m(s) = s**3 + 4*s**2 - 16*s - 20. Let z be m(d). Calculate the greatest common factor of z and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -4 - (-4)\/4. Suppose y*r + 9 - 21 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*m**3 + 40 + 3 - 16 + 14 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.062, 1\/3, -373 in increasing order.\nAnswer: -373, -0.062, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 222*r**2 + 3198*r + 182. Give g(-94).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(8\/(-144))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28520 divided by -5.\nAnswer: -5704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1434848 and -71\/1972916?\nAnswer: 15783328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - -a2b45?\nAnswer: a2b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - 10?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1 - 4*u - 6*u - 4*u**2 + 3*u**2 - 2*u. Is h(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + 15*g - 10. Suppose -11 = 3*p + 13. Let y be d(p). Let f = 0 + -0.2. Put y, f, -2\/17 in descending order.\nAnswer: -2\/17, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 67. Find the third derivative of -23*i**5 - 5*i**h + 61*i**5 + 5*i**4 - 14*i**2 wrt i.\nAnswer: 2280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 3. Let x(t) = t - 2. Let d be x(5). Suppose -q = -d*h + 4, 0 = 3*h - 3*q - q + 2. Let g be h\/2*7 - 2. Give f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -4, 941 in decreasing order.\nAnswer: 941, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 83*t**2 + 2 + 82*t**2 + 0 + (3*t + 0*t - 9*t)*(t + 3*t - 2*t) + t**2 - 2 + 2.\nAnswer: -12*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 15201665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4056 and 27096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -1\/2*g**2 + 0 - 13\/6*g**3 + 7*g. Determine f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - -5741*-1*3\/6*-2?\nAnswer: 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + 2*(-2)\/(-4). Let y be 22*(2 - 2\/8*6). What is the highest common factor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.4 - 2.6. Let p = 33.999375 + q. What is p rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3) + -15 - -4. Let p = 7 + w. Let b = 11 + p. Solve -5*s - 5*o - 15 = 0, 3*o + 5 = -2*s - b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddujdduuduudj. What is prob of picking 3 u and 1 j?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 28364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab2b - 1b?\nAnswer: -ab48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 2*f = 17*z - 14, 56 = 5*z - 2*f. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -691 or -690?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 653*j**2 + 364*j + 363. Determine o(-1).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-2\/9))**(-25\/2))**47 assuming i is positive.\nAnswer: i**(-11750\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.044 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(66) + (sqrt(66) - sqrt(66)*1 - sqrt(66)) - sqrt(66))*4 + sqrt(66))\/((sqrt(6) - sqrt(72)\/sqrt(12) - sqrt(6))*1))**2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115907922*z**2 + 115907918*z**2 - 60*z**3 - 231815840*z**2.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {t: 3, f: 1, l: 1, w: 5, y: 4, s: 6}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54a009 - 3?\nAnswer: 54a006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 14*k - 1020. Suppose w + 3*l = -2*w + k, 0 = 2*l. Let f(o) = 5*o - 1. Calculate the remainder when w is divided by f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + y - 7 + 176, 0 = -3*y + 15. What is the first derivative of -51 + 101*x - o + 220 wrt x?\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-407)\/(-22))\/((-2)\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743027 at least as big as 743032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let o = 3.89 - -0.11. Let d = 0.7 - 0.9. Which is the closest to y? (a) o (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 24 = -0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -132 - 68*q - 70*q - 11 + 393*q. Is w(28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2299) - (2 + sqrt(2299) + sqrt(2299))*-1) + sqrt(2299) + 0) - 5*-4*(sqrt(2299)*-2 - sqrt(2299))*5)**2.\nAnswer: -25696*sqrt(19) + 196021952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 4*s - 4. Calculate w(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1255 (b) 8.7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)*-69 - (-2 + 0). Let c = -43 - p. What is the remainder when 70 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2*18\/(-36))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/11719 and -97\/1582.\nAnswer: 18539458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -44 - 97. Calculate the remainder when n is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2 - 24981*u + 24978 = 0 for u.\nAnswer: 1, 8326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67067 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.5, 5, -2\/7, 0.19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86521929083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 9*i + 16 = -4*z, 0 = z + 4*i + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -7. Sort 1, c, 4.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33180 = -1047*c - 1323*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/60*(-105)\/(-2). Calculate the highest common factor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219525 divided by 1?\nAnswer: 219525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2233232 (base 7) to base 11\nAnswer: 17a34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549 + 7059834463.\nAnswer: 7059835012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52733420 by -10546684.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -11447\/4402?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34190478 to the nearest integer?\nAnswer: 5847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwzwhwhhwhhhhhl. Give prob of sequence lhh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 27. Suppose 5*q = 3*c - 8*c + 65, -t*c = -4*q + 44. Calculate the remainder when 4030\/90 - (-2)\/9 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1811.9 - -1925. Let n = 113 - q. Suppose 5*r + 5*t = -40, 4*r + 4*t = -r - 37. What is the closest to 1 in n, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let x(t) = -319760*t. What is p(x(w))?\nAnswer: -639520*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31803.\nAnswer: 3, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5 = 5*o + 1, 5*j = 4*o + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174650 - 572?\nAnswer: -175442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.202 and -14.\nAnswer: -128.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 116 = 78. Let h = 97 - o. Let y(u) = -u**2 + 4*u + 155. What is the units digit of y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:38 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**4\/24 - 7*h**3\/6 + 8*h**2. Differentiate g(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let l(n) = -1. Let g(y) = l(y) + 2*v(y). Give g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*g - 2. Let v(t) = t**2 - t - 7. Let y be v(5). Suppose 6*w - y = w + 2*m, -2*w + 5*m + 22 = 0. Sort w, -2, g.\nAnswer: g, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:49 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-15))\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2. Let a(w) be the second derivative of 9*w**5\/20 - w**4\/4 + 22*w. What is a(b) + 3*o(b)?\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:28 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 16*u - 44. Let x be i(12). Suppose 3*m = 13 - x. Solve b = -m*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -245479\nAnswer: -981916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/3 + 625*r**2\/3 - 61148*r - 15300 = 0 for r.\nAnswer: -306, -1\/4, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 5, z: 1, e: 3, c: 2, k: 1}. What is prob of sequence eack?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 765 - 764.999327. Round k to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1025 - 1022. Put t, -1\/4, 1.6 in decreasing order.\nAnswer: t, 1.6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4*z - 183*g**2 + 73*g + 7*z wrt g.\nAnswer: 12*g**2*z - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 268110 and 2700?\nAnswer: 2681100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 546724.\nAnswer: 4373792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -12. Suppose -2*y + 2*w = -w + 21, y + s = 2*w. Let h be y\/2 - 1\/2. Let i(v) = -v + 3. Give i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 716 + -695. Calculate the remainder when 154 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1000, 947, 896, 853, 824, 815, 832?\n\"Answer: d**3 - 5*d**2 - 45*d + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -45896368?\nAnswer: 5\/45896368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 3*h**2 - 359*h + 958*h - 388*h to the form z*h**2 + f + m*h and give m.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.066? (a) 0.1411 (b) 0.3 (c) -0.6 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.91166 less than -92538?\nAnswer: -92536.08834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 291 and 3708315.\nAnswer: 3708606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (73 - 19 - 38) + (-5 - 1 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3188, -3320, -3452, -3584, -3716, -3848?\nAnswer: -3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4165*y - 4164*y - 8*b, 5*b = 0 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 992 or -261718?\nAnswer: 992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 749662021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 36. Let u(m) = 2*m - 27. Let v(t) = 3*j(t) + 4*u(t). Let a(c) = 8*c - 3. Determine a(h) + 6*v(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 75 + 339. Suppose -2*q = -5*q + f. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15000 and 1875?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 113 * -0.4\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-200)\/95 - -3. Which is the nearest to 1? (a) -3 (b) 2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0667836314 to three decimal places.\nAnswer: 1.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -171 - 39. Suppose -4*w - 18 = -o. Suppose -j - 5*n + w = 2*j, -23 = -4*j - n. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 167213370 divided by 33442674\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 517129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4408.74773 + 0.2\nAnswer: 4408.94773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6*p = p. Suppose p = -3*d + 9 - 3. Suppose -8*q**4 + 16*q**2 + d*q**3 + 7*q**4 + 2*q**3 - 3*q**4 - 16*q = 0. Calculate q.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -154161, -308323, -462485, -616647?\n\"Answer: -154162*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400 = -4*a + i, -a + 5*i - 603 = 4*i. Which is smaller: -600 or a?\nAnswer: -600","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -9*c + 721. Calculate the remainder when 269 is divided by c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, i: 6}. What is prob of sequence ifif?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 17*l = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18270507.\nAnswer: 3, 163, 37363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(54644361\/405)\/(-19). Let s = l + 21305\/6. Calculate the common denominator of s and -103\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2010112220222?\nAnswer: 2010112220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -667 - -1020. Suppose -10*q - v = -1923. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**7\/21 - 2*q**6 - 13*q**5\/5 + 46*q**4\/3 + 49*q**3 + 58*q**2 - 203*q - 3. Factor w(m).\nAnswer: -2*(m - 2)*(m + 1)**3*(m + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321404.4494 rounded to the nearest one thousand?\nAnswer: -321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 408424151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/6 + 20*h**3\/3 + 35*h**2\/2 - 2*h - 26. Let b be s(20). Calculate the highest common divisor of 280 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 9757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 - -41.9.\nAnswer: 134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:24 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/3 + 5*i + 34\/3 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - 93 - (6 - 9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 81060.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42 + 81\/(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403552 (base 12) in base 11?\nAnswer: 2283779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23720359.\nAnswer: 13, 271, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 - 7*w + 5. Let o be g(6). Let u(m) = -122*m**3 - 2*m**2 - m. Is u(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 17*u - 15*u - 29 = 0, 15*s + 5*u + 8 + 57 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**3 + r**2 - r - 2. Let l(p) = p**3 - p - 1. Let i = 88 + -86. Let a(b) = i*l(b) - o(b). Determine a(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 590559 + -591914.1813. Let v = -1385.18 - b. Let n = -30 - v. Round n to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001220300 - 20?\nAnswer: -1001220320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/1 + 2)\/((-3)\/9). Which is the third smallest value? (a) -10\/7 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:28 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7343683 or -7343691?\nAnswer: -7343683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -5*m. Suppose -9143 = -d - x, m*d + 9151 = d + 3*x. Let y = d - 91269\/10. Calculate the common denominator of -55\/14 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480.99422 + 481. What is n rounded to four decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5566.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 5\/(15\/(-138)). What is the highest common factor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0987 and 0?\nAnswer: 0.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a factor of 1118814312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 631159 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 + 38\/(-12). Let w = -78 - -58. Let k be 1\/10 - ((-72)\/w + -4). Which is the closest to k? (a) 0 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.137 + 0.137. Suppose -3*s = 8 - 5. Let z be ((-2)\/10)\/((-2)\/2). Which is the nearest to s? (a) -2\/3 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1148 - -3619. What are the prime factors of g?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1780*o - 60*o**2 + 3541*o - 1761*o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81.2 + -0.2. Let p = -81.0000053 + k. What is p rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010726149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 524, 560, 622, 716, 848, 1024, 1250?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24534625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 w, and 1 r when four letters picked without replacement from {l: 1, s: 2, w: 4, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -4 (b) 31 (c) -2\/5 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -855)*(-4410)\/(-180)?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 264945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1144225 + 2572217851\/2248. Find the common denominator of s and -63\/26.\nAnswer: 29224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 4 = 0. Suppose s - j*r + 3*r = 3, 9 = -s + 2*r. Let q(y) = -13*y**2 - 2*y - 1. Calculate q(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 - 0.15. Let d = 0.8 - y. Sort -2, d, 0.3 in increasing order.\nAnswer: -2, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 1056.53?\nAnswer: -8452.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 - 3*z + 11. Determine h(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11364*o - 56838. Determine r(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/1008 + 39\/(-52)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 + 354*b - 13. Is f(-65) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - 0?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000190186 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -4977377 and -4977375 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - z. Let j(n) = -48*n**2 - 36*n. Calculate -j(y) + 36*x(y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - 5.07. Let b = j + 5.5. Sort 1\/11, b, -2 in increasing order.\nAnswer: -2, 1\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/3 greater than or equal to -91.47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from cnlncccnlyn.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762.2 hours in seconds?\nAnswer: 9943920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-10 + (2 - 6) + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 296*u**2 - 580*u - 391. Determine v(146).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169225340 and 84612670.\nAnswer: 169225340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 4:38 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/182 and 16\/7.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*w = -103*w - 357. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from vswsvsvshvrsish.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**6)**21 assuming h is positive.\nAnswer: h**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832) + -4)**2 - sqrt(832)) + sqrt(832) + (sqrt(832) - 4*sqrt(832)*-2)**2 + 3.\nAnswer: -48*sqrt(13) + 68236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, t: 6}. What is prob of sequence qtqt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-245) - 2\/(-15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 22. Suppose -8 = -3*g + s, -4*s + 9*s = 5*g. Let m(p) = p + 21. Let v(t) = g*m(t) + 3*c(t). Let h be v(9). Solve 3*f + f + 12 = h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -11, -0.1, -3, -0.0044?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7172*u**6 + 170*u**5 + 5*u**3 - 6807124*u**2.\nAnswer: 860640*u**3 + 10200*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 12*z**2 + 111*z + 1919. Calculate n(-20).\nAnswer: 2899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggeggmeqgeqgmegggggg.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -1. Let d = 30 - w. What is the greatest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13 - 5 - 20*z + 13. List the prime factors of n(-8).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1471 + 1475.7. Which is the smallest value? (a) 0.3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10138043 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -1, 33, -2, 5\/17, 6?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1581 in -0.1, 769, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -11 - -9) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 596 + -521. Is h >= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 16) to base 9.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1105132920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1501*x + 11402. Is s(111) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*g - 7786 = 0, -2*g = -4*k + 46097 - 15037. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 1805503 = 1404224. Is c 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 {g: 4, c: 1, p: 9, z: 4, v: 1, x: 1}. Give prob of picking 1 z and 1 v.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 186. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 11) + -2 + (7 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3130, -3131, -3130, -3127, -3122, -3115?\n\"Answer: d**2 - 4*d - 3127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.337481968 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 890394401 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrtgtrggtrg. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 10 - ((-3 - -2) + 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383627 or -383605?\nAnswer: -383605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*n - 4*z, -5*z + 5 = -n + 5*n. Let a(q) = -12*q + 88. Let h be a(7). Solve 5*d + h = 2*s, -2*s = -2*d - n*s + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26331840 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -21*d - 74. Let y(i) = 32*i + 115. Determine -7*m(s) - 5*y(s).\nAnswer: -13*s - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10607 + -10485. Calculate the remainder when u is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -16, 5 in increasing order.\nAnswer: -16, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79530.\nAnswer: 2, 3, 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43149 or 46179?\nAnswer: 43149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.26 - -25. Let s = 0.14 - y. Which is the nearest to -0.2? (a) s (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87531 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659 = -z + r, -2*r - 3 - 1 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7091 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: List the prime factors of 1726419241.\nAnswer: 17, 89, 67121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 43 (c) 2\/7 (d) 166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 + 2\/1. Let m be (42\/8)\/(1\/4). Let i = m - u. Calculate the smallest common multiple of 22 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 593846898*v**2 + 522058619 wrt v.\nAnswer: 1187693796*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 31. Let k be ((-4)\/10)\/((-2)\/n). What is the units digit of ((-30)\/(-9))\/(k\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 276 + 175 + 31 - 2*o.\nAnswer: -2*o - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.3 and 0.02468?\nAnswer: 8.27532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-60)*((-1377)\/3213)\/((-8)\/(-378)).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 27474993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 9*v + 12. Let d be s(-7). What is the third biggest value in 0, -4, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:38 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 3*o. Let m(b) = -b**2 - 2*b. Let i(r) = 2*j(r) + 3*m(r). Let t(w) = w + 0*w - 3*w. Determine t(i(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 48. Is a(32) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/3 + 28*n + 86\/3 = 0.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 941*l**4*v - 1847*l*v + 14*v + 58908 wrt l?\nAnswer: 3764*l**3*v - 1847*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 10*g**2 - 8*g + 10. Let u be p(-9). Suppose u = 4*t - 3*a, 0*t + 45 = 5*t + 5*a. Suppose 3*k = t*k - 69. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.66 - 23.34. Sort 5\/2, -0.08, d in increasing order.\nAnswer: d, -0.08, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/20 + f**2. Let t be i(-1). Let x(u) = -u**2 + 5*u - 6. Let r be x(4). Put -6, t, r in increasing order.\nAnswer: -6, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24255112672 to 3 decimal places.\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 26565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -4019 - 7979. Suppose 0 = 3*k - u - r, -4*k = -k + u - 1706. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(7200)*1 - sqrt(3200)*-1*-5)**2.\nAnswer: -156800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4936, 21795, 49908, 89287, 139944, 201891, 275140?\nAnswer: 359703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 2789*r**4\/2 - 133*r**2 - 7*r - 5051. Find the second derivative of k(u) wrt u.\nAnswer: 33468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.4, -0.2, 7\/4, 1.49?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7181535819?\nAnswer: 3, 73, 32792401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 173*r**6\/2 - 2*r**3\/3 - 393*r**2 + 63. What is the second derivative of b(z) wrt z?\nAnswer: 10380*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*f - 292 = 61*f + 62*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 - -1596. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4075 - -4091. Solve 4*p - 60 = -z*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = 3*q, -3*q + 0*q = -5*r + 40. Let s = r + -4. Solve 0*h = h + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2268)\/sqrt(9) - -3*sqrt(7)*2)**2 + 5).\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 73 = f, 2*z = -5*f - 14 + 107. Suppose 4*d - z = 714. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*t = -2*t - 9, 3 = -t. Let v be -4 - -4 - ((-100)\/36 - d). Let b(n) = n - 4. Let u be b(7). Put -5, u, v in ascending order.\nAnswer: -5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euiu when four letters picked without replacement from {e: 8, i: 2, u: 5}?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w - 173. Determine v(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 581?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 4. Let a be d(-3). Put 3, 1, a in descending order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1535907, 1536024, 1536141?\nAnswer: 1536258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 677, 5449, 18395, 43601, 85153, 147137?\n\"Answer: 681*c**3 + c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -72.9 and -40787.4.\nAnswer: -40860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.240859 years to decades.\nAnswer: 0.8240859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -24*a + 28*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaooaazaz. Give prob of picking 1 z and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/4 - 5*a**4\/4 - 25*a**3\/3 - 60*a. Determine v, given that y(v) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:32 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4609584 by -1904.\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 73. Let y(l) = l - 15. Let p be y(0). Let c = d + p. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 370 + 538 = -114 for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*m - 8, 7*m = 3*m - 4. Which is the closest to 0? (a) x (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4 - 0, 3*k - 5*s - 16 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -5*v - 4*g, g = 4*v - 66 - 94. Let b be (16\/v)\/((-2)\/(-30)). Let y(a) = -b*a**2 + 60*a + 25*a**2 - 60*a. Let d(x) = 2*x**2. What is d(y(c))?\nAnswer: 722*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2112111?\nAnswer: -2112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 6 = -3*r, k + 2*r - 18 = 0. Suppose 0 = 3*n - 2 + k. Let x be n\/(-6) + 611996\/6. Round x to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2 - 1620*s + 11. Let w(q) = -3*q**2 + 2*q + 2. Give -j(x) + 6*w(x).\nAnswer: -x**2 + 1632*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -40, -59 in descending order.\nAnswer: 8, -1, -40, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntmnxnnmnnmtnmnmnntn. Give prob of picking 1 n and 1 m.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 5*r - 8*r + 5*r)*(-19*r + 19*r - 7*r**3 + (-1 + 2*r**2 + 1)*(-1 + 1 - r)).\nAnswer: 18*r**5 - 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -266 - 136?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g**3 + 348*g**2 - 128*g + 5. Determine u(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*x - 232*x + 4 - 6*x**2 - 331*x + 17*x.\nAnswer: -6*x**2 - 478*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -4, -2, -17 in descending order.\nAnswer: 0.09, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-9)\/1)\/(-9)*(-4)\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wabdwndabnwddw. Give prob of sequence waw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 2*a**2 - 5*a + 4. Give q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416805690 divided by -11908734?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-165))\/(1004\/2510)*(-3)\/3\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 34*o - 8*o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 8*t**2 - 3*t - 16. Let y = -64 + 71. Let r be s(y). What is the greatest common divisor of r and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 11*j + 14. Suppose l - 6 = -2. Let i be (l\/6)\/(2\/(-30)). Let a be v(i). Solve a*r + 12 + 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123848*b**3 + 4*b**2 - 1749262*b?\nAnswer: 743088*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 8}. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hth when three letters picked without replacement from htthttttttthtttttttt?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d - 433 = 41. What is the third smallest value in d, 1\/4, -2, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211 and 430862.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -17.1. Let y = d - 1. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 + 1 = -3*t, 4*t = 5*a - 27. Let q be (t + -1)*(7 - 29\/2). What is the greatest common factor of q and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*j**2 + 8\/7*j + 0 + 4\/7*j**3.\nAnswer: 4*j*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*l - 3*p, l - 3*p + 4 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**7\/35 + r**5\/20 - 11*r**2. What is the third derivative of u(o) wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a + 0?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18955*m - 3. Let c(y) = -y**2. Calculate o(c(g)).\nAnswer: -18955*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -378.2.\nAnswer: 378.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/160 + 3\/(-24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/3 - 13*u\/3 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 220*t**2 - 2185*t - 33. What is w(11)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 13}. What is prob of sequence xx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(1 - 0))\/(-11 + 7). Solve -20 = -4*t, 2*t = -b*m + 3*m + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*w. Let n(o) = -6*o - 2. Let p be n(w). Solve 2*m + 3*t - 2*t = -13, 0 = p*m - t + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53883*p**5*y + p**5 - 3*p**2*y - 7*p**2 - 97*p*y + 8*y wrt p?\nAnswer: -3232980*p**2*y + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145145 (base 6) to base 3.\nAnswer: 201100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -119. Let l(i) = 53*i**2 - 5*i + 6. Let h be l(b). Suppose -h = -63*z + 54*z. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14190192 and 33701706?\nAnswer: 269613648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 17 + -1 + -2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 16. Let u = 333.88 + 3.12. Let y = u - 339. Which is the second biggest value? (a) y (b) -0.15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:52 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 19.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81217 and 17111?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -29. Let l be (((-8)\/5)\/4)\/((-50)\/500). Solve 0 = 2*h + l - j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 0.7. Let u be ((-8)\/(-168)*1)\/(2\/18). What is the nearest to 0.1 in u, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 27*v**2 + 23*v - 117. Let z be w(-28). Suppose -608 + 148 = -z*t. Suppose 0 = -4*d + b + 68, -2*d = d + 2*b - 62. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-18))\/(4\/18). Calculate the remainder when (-4)\/p*(9 + -69) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2917 - 940. Let t = v - -5531. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82906855 to the power of 1\/2, to the nearest integer?\nAnswer: 9105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b3ac (base 14) to base 8\nAnswer: 74314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*r = 24, -3*r = -0 + 12. Let b be (-4 + 1 + 2)*i. Let x(f) be the third derivative of -f**5\/60 - f**4\/12 - f**3\/2 + f**2. Calculate x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 165.47443399 and -0.17.\nAnswer: 165.30443399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/3))**(-45))**49*(w**(-2\/17)\/w*w**(-2\/9))\/(w**(4\/3)\/(w**3\/w)) assuming w is positive.\nAnswer: w**(-225013\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -7857 (b) 5\/22 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 733, 1472, 2209, 2944, 3677, 4408?\n\"Answer: -n**2 + 742*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797957469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -2 - 2 - (8 - 59). What is m rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207\/15895 or 0?\nAnswer: -207\/15895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/972 and -29\/484542.\nAnswer: 969084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/8 - (-16)\/((-112)\/(-35))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12 + m + 8*m - m - 8 + 5*m**2 - m**3 - 6. Let z be h(4). What is the highest common divisor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180826921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, 556, 1\/2, -11, 3\/5, 1\/19?\nAnswer: 556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 7325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (8 - 0) - (-47 + (62 - 35))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2b69 (base 14) to base 8\nAnswer: 17071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 - 2 = -k, d = 5*k - 10. Suppose k*b - 4 = 0, 0*b - 18 = -g - 4*b. Is 4\/g*5 - -185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4)*(5*l - 3*l + 0*l)*(-16 + 16 - 5*l)*(-2*l + 2*l - 2*l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 732 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5559, -23404, -53157, -94818, -148387?\nAnswer: -213864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857702 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4371*b*q**3 + 168*b*q - 50*q**3 + 252*q wrt q?\nAnswer: -26226*b*q - 300*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037?\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000184451236 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + 0.42. Let j = d + -0.2. Let f = -58\/3 - -21. Which is the third smallest value? (a) f (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36952, 36947, 36942, 36937, 36932?\nAnswer: 36927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99288643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577130732?\nAnswer: 2, 4423, 32621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 - 282. Solve -t + 2*t + c*u + 9 = 0, -3*u = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14781.\nAnswer: 3, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-120)\/(-360))\/((-2)\/352455))\/((-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*h - 155*h - 19875 = 0 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = -5*r. What is the first derivative of -2*j**3 + r - 4*j**3 + 2 wrt j?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/242*(-601 + 614 - 86\/6)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(((-16)\/6)\/(-4)). Let g be (-3)\/(-9) + (-5)\/6. Let i be ((-1)\/(-10))\/(1\/(-2)). Which is the nearest to g? (a) i (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*o + 9090*o**3 + 99 - 116*o - 99 - 9087*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 590 + -273. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-1)\/(-12)). Suppose q*x = 3*x. Suppose x = -5*l - 5*j + 40, -6*j + 2*j - 10 = -3*l. Calculate the least common multiple of l and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + n**4 - 2*n**4 + (2*n**2 + 0*n**2 - n**2)*(-2*n**2 - 3*n + 3*n) + 2*n**2 - n**4 - 2*n**2 + 4 - 2*n**4 - 4)*(3*n + 2*n - 3*n).\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*h - 26 = -253*h. Find the third derivative of -82*w**2 + 28*w**2 - 44*w**4 - 36*w**h - 16*w**4 wrt w.\nAnswer: -1440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let z(c) = -7*c - 6. Suppose 4*y + 5 = 3*v - 15, 2*y = 2. Suppose -v*t + 4 = 44. Calculate t*o(l) + z(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 43*o**2 - 7*o. Let z(i) = 6*i + 156. Give u(z(j)).\nAnswer: 1548*j**2 + 80454*j + 1045356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6029, 24122, 54277, 96494?\n\"Answer: 6031*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 724 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (20 - 7) + -11 + 90 + 5\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 38. Suppose v = -g - 1. Is 7 a factor of g*(-5 + 2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2193*b + 2188*b - 3*y - 57 = 0, b = -2*y - 17 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 92*o - 84. What is a(0)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.001 to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*l - 6, -3*d - d + 4*l + 32 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -10 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.33 and 108.\nAnswer: 108.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(-27))**9\/(o**42\/o)**(-9\/10) assuming o is positive.\nAnswer: o**(3069\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/30 + (-25)\/((-625)\/(-410))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12) - (-15)\/(-9). Let k be 68 - 0*v\/(-2). Suppose 0*c - k = -c. What is the remainder when c is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = -2*j, 4*j = -0*j - 2*l + 8. Is j less than 4\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23556 is divided by 1049?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 810?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -3 + 2 + 20 + -27 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66995469.\nAnswer: 3, 7443941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001002909 to 6 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Let r be s\/(-3)*(-9)\/2. Let l = 6 - 6.2. What is the closest to 0.1 in l, -5\/3, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by 12.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45173, 90350, 135527, 180704, 225881?\nAnswer: 271058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 21*q - 125. Let j be l(5). Let g(p) be the second derivative of 0*p**4 + 1\/130*p**j + 0*p**3 + 0 + 0*p**2 + 2*p. Factor g(m).\nAnswer: 2*m**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + b = -0*g - 3, -3*b = 2*g + 11. Suppose -3*r + 4*p - 47 = -3, 0 = -3*r - 3*p - 30. Let y = g - r. Calculate the remainder when 52 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162579405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -9*9040\/(-3690)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315261, -0.7, -3, -1\/2.\nAnswer: -315261, -3, -0.7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2\/(-3))*120\/45. Let v(i) = i. Let c be v(5). Suppose c*m = 9 + 41. Solve -5*p = -f*x - 16, 4*p + m - 28 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*f**4 - 108*f**2 - 101*f**2 + 306*f**2 - f - 5 - 99*f**2 to w*f**2 + m*f + p*f**4 + c*f**3 + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 99 - (5 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3756*o**2 + 3637*o**2 - 11071*o**2 + 2940*o**2 + o - o.\nAnswer: -738*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186\/7*y + 144\/7 - 8\/7*y**2.\nAnswer: -2*(y + 24)*(4*y - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -9, 2*f + 2*o + 0*o + 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473212 to the power of 1\/2, to the nearest integer?\nAnswer: 2339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 3*y + 5*y + (-12 - 59 + 11)*(-3*y + 2*y + 2*y))*(1 + 1 + 0 + (-4 + 0 + 1)*(-4 + 1 + 2)).\nAnswer: -310*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 6. Let x be o(-4). Solve 0 = -3*m + x - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 3*p - 3*p. Let r(n) = n**3 - 9*n**2 + 8*n + 2. Let h be r(8). Let f(a) = -5*a**2 + 2*a**2 + a**h. What is f(v(s))?\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 9*i - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - (-14)\/6. Let p be (-5)\/(-2)*(-4 + 2). Suppose 4*k + 3 = 3*k. Put p, l, k in descending order.\nAnswer: l, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -14. List the prime factors of (-6)\/4*(-21)\/b*-68.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*g + 19*g + 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*p + q + 1, 2*p + 5*q = 12. Suppose 2*a - p = 9. Solve -6*j = r - 2*j - 5, 2*j = a*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1, -8, 109348, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 + -320. Let h be (s\/500)\/((-2)\/5). Let i be (3 - (-8)\/(-4)) + 24\/(-28). Which is the closest to -0.3? (a) h (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -652.\nAnswer: -110.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 1. Let o(t) = 66*t - 21. Let b(i) = 4*o(i) + 84*q(i). Let s(j) = -19*j. What is b(s(y))?\nAnswer: -228*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 + 1227*s**3\/4 + 1837*s**2\/2 + 612*s.\nAnswer: s*(s + 1)*(s + 2)*(s + 1224)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w - 64. What is r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, p: 5, g: 1}. What is prob of picking 2 p and 2 r?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -v + 4*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62093, 497251, 1678389, 3978497, 7770565, 13427583?\n\"Answer: 62165*x**3 + 3*x - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 117*t**3 + 63*t**2 - 66*t + 2. Let n be o(1). Solve -n*s + 42*s = 444 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**0*n*n*n)\/n*n)\/n*n**6*n*n)\/(n\/(n*n**0\/n))**(4\/13) assuming n is positive.\nAnswer: n**(152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**3 - 8*d**2 + 11*d. Suppose 2*t - 10 = 7*h - 3*h, 2*t + 5*h = 1. Let k be v(t). What is the greatest common factor of k and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91687 - -91685. Let u be 6\/(-56) - 2\/(-8). Which is the nearest to -2\/3? (a) u (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 6*a**3 + 2*a**3 - a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 5*i + 1. Suppose 2*w = 0, -3*x + 4*w + 22 + 8 = 0. Suppose -77*a + 8 = -73*a. Suppose -3*r + x = -a. Give z(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*w**3 - 81*w**3 - 163*w**3 - 166*w**3 + 623*w**3 - 110*w to the form j + i*w**3 + y*w**2 + l*w and give l.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f - 21 = -42*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001422217 rounded to 6 dps?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5838 and -125\/2502.\nAnswer: 17514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5195, 10504, 15813?\n\"Answer: 5309*r - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**24*(g**(-12)\/g*g)\/g*g*g*g**(-5)\/g**14 assuming g is positive.\nAnswer: g**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 6*q**2 - 15*q - 15. What is the units digit of d(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-4)*t*t**(-1\/7)*(t**(-1))**39*(t*(t**(-7\/6)*t)\/t*t*t**(2\/3))**(-3) assuming t is positive.\nAnswer: t**(-639\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49, 2126, 7757, 18718, 36785, 63734?\n\"Answer: 296*k**3 + k**2 + 2*k - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 78?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -51, -65, -73, -69, -47?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*1)\/(sqrt(22)\/sqrt(99)))**2 + -3*(sqrt(1008) - ((sqrt(1008) - (-1 + sqrt(1008))*6) + sqrt(1008)))**2.\nAnswer: -69408 + 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67, 74, 83, 94, 107, 122?\n\"Answer: o**2 + 4*o + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (444\/(-777))\/(1 + (-9)\/7). Let y(g) be the first derivative of 1\/36*g**4 + 0*g**3 + 8 - 1\/6*g**k + 2\/9*g. Factor y(h).\nAnswer: (h - 1)**2*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 26. Let w(a) = -3*a**2 - 27. Give -6*o(y) + 5*w(y).\nAnswer: -3*y**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19251772, -19251762, -19251746, -19251724, -19251696?\nAnswer: -19251662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**3 - w**2 - 6*w - 4. Let q(r) = -r**3 - r**2 - 13*r - 31. Let y be q(-2). Calculate d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 6 + 20. Solve 4*j - 8 - h = 5*k, -j + 5*k - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p + 20. Calculate u(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 675*g**4 - 202*g**3*q**2 + 250*g*q**2 - 8399*g + q**2 wrt g?\nAnswer: 8100*g**2 - 1212*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 286*y**2 + 6*y + 16. Is 14 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 925, 997, 1263, 1819, 2761?\n\"Answer: 16*g**3 + g**2 - 43*g + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + -2. Let y = 19 - 21. Put t, y, 1\/6 in descending order.\nAnswer: 1\/6, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -2860?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -0.3, 6, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4 = 16*n, -2*n = 3*j - 50 + 122 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -44*p + 38*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 6)*((-14)\/(-7) + -3). Suppose -3*l + 58 = -l. Suppose 0 = 3*a - 2 - 25. Solve a = h*m + l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103\/110 + 3\/22. Which is the closest to 0? (a) -1\/23 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8578890 by 8622.\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 12 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116553929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:25 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(32) + 1 + 1 + (sqrt(6)*1*-3)\/sqrt(3)).\nAnswer: -6 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b - 1. Suppose 18 = -20*a + 58. Suppose -4 = -2*h, -a*h = -4*l - 7*h - 14. Let r(v) = 4*v**3 + 6*v + 10. What is l*c(k) - r(k)?\nAnswer: 2*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -22?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 0*q - 110 - q + 214.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enzknpzzpknn. Give prob of picking 3 z and 1 k.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5)*(-64)\/672. Let p = -1.7 - -1.8. Let j = 0.1 - p. What is the third smallest value in j, l, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - h + 97 = 35, -2*p = 2*h - 36. Suppose 4*w + 3*u - p = 0, w + 2*u = u + 6. What is the least common multiple of 1 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 551150000 to the nearest 1000000.\nAnswer: 551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.4. Let v = n - 3.3. Let w = v - -1.4. What is w rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 82*f**2 + 18*f - 1. What is the least common multiple of x(2) and 33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = -4*h - 11, -h + 16 = 4*m. Suppose -m*l + 0 = z - 1, -3*z = l + 11. Which is the second smallest value? (a) 5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:34 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 18 = 2*n. Let y = -3484 + 1898. Is (-2)\/(-3) + 0 + y\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 53*u + 23. Let s be w(18). Let o(x) = 96*x - 5. What is the tens digit of o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1 - (-4 + 7))*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - z**2 - 2*z - 1. Suppose -5*h - 78 = 2*v - 0*v, h = 5*v - 21. Let y be ((-8)\/(-16))\/((-1)\/h). Let w = -6 + y. Give g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213 + 217. Let w be 4*(0 - (-190)\/b). What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/9*(-159894)\/69795)\/(4\/11).\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4706 + -1973. List the prime factors of y.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 5}. What is prob of picking 2 f?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 25?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1247*k**8\/336 + 701*k**4\/4 + 7*k**2 - 72*k. Find the second derivative of v(n) wrt n.\nAnswer: -24940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*r**2)*(228 + 3895*r - 229 + 1318*r) to the form i*r**3 + a + v*r + b*r**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 10576046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 3*u)*(-1 + 4 - 4)*(0 - 1 + 3)*(0 + 2 - 4).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/((-33)\/(-27)*3 + -3). Let n = -103 - i. What is the least common multiple of n\/14 + 172*3\/42 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {x: 2, z: 1, j: 2, g: 4, v: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:19 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(19*d + 5*d - 6*d)*(-3*d + 4*d + 2 - 1 + (-1 - 1 + 1)*(7*d + 6*d - 11*d)) to v*d**2 + a*d + s and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**3 - 6*v**3 + 6*v**4 - 101 + 102)*(-70 + 70 + 8*v).\nAnswer: 48*v**5 + 16*v**4 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330101 + 10?\nAnswer: -330041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*u + 15748 = 51670, 5*u - 15 = 0. Let o = 2\/21984493 - -3313920490285\/461674353. Let i = g + o. What is the common denominator of i and -31\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0. Let t = 4.7 - 5. Let b be 4\/(-14) - (8 + (-1304)\/154). Put t, y, b in decreasing order.\nAnswer: y, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgg. What is prob of picking 1 d and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -19. Suppose -4*z + 8 = j - 2*j, 4*j + 5*z = 10. Solve y*r - 10 = -j*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 13. Let d be f(-9). Suppose -r = -d*w - 16, -2*w + 4*r = -7*w - 36. Let p(h) = h + 8. Let c be p(-6). Put 0, w, c in descending order.\nAnswer: c, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18\/23, -2\/17, -11842?\nAnswer: -11842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44926322 is divided by 3363.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5170, 5215, 5260?\nAnswer: 5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 1 - (-3455)\/(-1098). Let x = -8\/61 + u. Is x less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 - h**3)*(-2*h**2 + 3*h**2 - 2*h**2) + 2*h**5 - 6*h**5 + 2*h**5 - 20*h**3 + 7*h**5 + 20*h**3.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 878648933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2854 is divided by 408?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517 minus -167?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4944875 to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 953480833 to the nearest integer?\nAnswer: 30878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in -6, -2\/13, 1, 12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4216 and 35464?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let a(q) = -8*q - 1. What is the remainder when a(-1) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*y - 2*y. Let b be (-294)\/(-10) + (-6)\/(-10). Let z = b - y. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12813*n**3 + n**2 - 4*n. Let v be 15\/(-4) - 2\/8. Let s be r(v). Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 13 + 35. Suppose 0*s - 6 = -2*s - 2*q, -3*q + 9 = -t*s. Solve -12 = -s*m + 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 454879685*i + 15*i**2 + 454879685*i + 2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -1) + (-2223 - -42). Let z = r + 3398. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12780541.\nAnswer: 79, 161779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and -2\/471 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/300 - x**4\/120 - x**3\/15 + 3*x**2. Factor p(m).\nAnswer: (m - 2)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + -1*(sqrt(68) + 1*sqrt(68)) - sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68))\/(-5*sqrt(4)*1).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2795149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w)**19\/(w**0)**(-4\/27))\/((w**3*w)**(-31))**(-9\/4) assuming w is positive.\nAnswer: w**(-279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-3))\/((-5)\/3))\/((-130)\/1300)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32626097 is divided by 579?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k - 15. Let w(m) = m + 1. What is v(c) + 15*w(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2953 in 4, -16\/89, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = -53*h - 604 + 2463 + 983 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Suppose 0 = 4*q + l + 10. Let b(u) = -6*u - 7. Let a(t) = t + 1. Give q*b(p) - 28*a(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 776 - 765. Suppose -2*v + 3 = 1. Let p be (v\/2)\/(2\/4). Calculate the highest common divisor of p and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let p = -4 - -6. Let g(i) = 2*i**3 + 3*i**2 + 7*i - 8. Let b be g(1). Let j(f) = -b*f**p - 565*f + 565*f. What is t(j(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -46. Let f(z) = -2*z**2 - 3. Let o(h) = 2*h**2 + 2. Give l*f(q) - 3*o(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 150572030 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 55*l - 315*l - 6340 = -43*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26835 - 16901. List the prime factors of p.\nAnswer: 2, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 304 + -3417\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*s, 0*k + 5*k = -2*s + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*k**2 + 77*k**2 + 35*k**3 + 6*k**2 - 37*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0674 and -4.6306?\nAnswer: 4.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -19 - 20. Which is smaller: x or 15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(304) + -1)**2 - -4*((2 + sqrt(931))*5)**2.\nAnswer: 2792*sqrt(19) + 93810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5720\/(-5720)*((-5)\/(5\/(-46)))\/(-1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5292.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 20.4. Let t = -0.6 + d. Is t smaller than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 8 = 8*m. Let i be m*2\/(20\/25). Which is the closest to -2? (a) i (b) -0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*a - 16 = 0, 5*f - 30 = 2*a + a. Solve 0*g + 5*g + 3*p = -f, -5*p = 5*g - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + -3 + -14 - 6) + 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -420*b**3*i**3*o + 2*b**3*i*o + 9*b**2*o - 77*b*i**2 wrt i.\nAnswer: -2520*b**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8171 divide 29371271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 0.0331\nAnswer: -0.5958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19034 - 18350. What is the smallest common multiple of t and 276?\nAnswer: 15732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 43 = -2*o - 4*a - 84, -o - 48 = -2*a for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852169647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2042 divided by -4.\nAnswer: -1021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/3, -4, 3\/7, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -20.57\nAnswer: 20.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -1\/50, 5, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 94649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 798 and 2247.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20694.3 - -21977. Round h to the nearest ten.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22984 by 136.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + -13 + (27 - 19))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -4, 3, -3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220558.\nAnswer: 2, 13, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127358793 to the power of 1\/2, to the nearest integer?\nAnswer: 11285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35021102 - 20057898. What is y rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)*s*(s\/(s\/s**(3\/2)))\/s)**(5\/6) assuming s is positive.\nAnswer: s**(-145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(378)\/(sqrt(27)\/sqrt(3)))\/((sqrt(600) - (sqrt(600) - (sqrt(600) + 1*sqrt(600)))) + sqrt(6) + sqrt(6)).\nAnswer: -9 + sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 615\/164 + ((-1)\/(-4) - 0). Solve -o*n - 4 = s + 11, -3*n = -5*s + 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2. Let p(w) be the third derivative of -w**5\/30 - 8*w**2. Determine v(p(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 5*b + 14*b - 7*b + 13*b.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*w**3\/3 - 262315*w**2\/3 - 143346950*w + 17919735.\nAnswer: -5*(w + 3279)**2*(8*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/12 + (-715)\/78 - -15. Solve 4*h - 13*c + 15*c - 10 = 0, 0 = 5*c - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.82?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzhzzzhzh. Give prob of sequence zzzh.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 128.5. Which is the smallest value? (a) 0.1 (b) -1.1 (c) -3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 84*s - 863 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 + -161. What is the fourth smallest value in l, -5, -1, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14266*c + 28500. Determine a(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1090, -1220, -1428, -1708, -2054, -2460?\n\"Answer: j**3 - 45*j**2 - 2*j - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {y: 5, s: 1, j: 6, n: 2, w: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 1. Give u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (482*k**2 - 971*k**2 + 483*k**2)*((-4*k - k + 3*k)*(3 + 4 - 4) + 1 + k - 1 - 5*k + 34 - 34) in the form q + c*k**3 + u*k**2 + t*k and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 greater than or equal to -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 21*j - 21*j)*(2 + 2 - 2)*(0 + 3 - 9).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 divided by 6228?\nAnswer: 115\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3747922.\nAnswer: 2, 17, 110233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 11 - 27 + 9 + 9 - 43*z - 10*z.\nAnswer: -58*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35\/4083 - 38369\/4370171. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38328\/12060 + (-6)\/45 - 6. Let w = l + 19171\/4288. Find the common denominator of w and -101\/6.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/6 + 23*g**4\/3 + 122*g**3 + 2395*g**2\/3 + 11363*g\/6 + 1210 = 0 for g.\nAnswer: -20, -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 8*y**2 + 2*y - 36. Let s = -5 + 19. Calculate the remainder when z(-9) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-8 + (10 - (10 + 1)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -10, 4, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 6 (c) -40 (d) 10 (e) 2\/7 (f) 0 (g) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, l: 4, i: 5}. Give prob of sequence il.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + 2 - 1786\/188. Which is the nearest to -0.7? (a) -1 (b) 2.29 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 3*t)*(t - 3 + 3) + 0*t**2 - t**2 - 7*t**2 + (t**2 + 0*t**2 + 2*t**2)*(-2 + 0 + 4) - 4*t + 7*t**2 + 4*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1182 = 2*p - 14. Is p a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 3*o**2 + o. Let s be q(-3). Suppose -4*a + 2*a - 88 = 0. Let t = s - a. What is the smallest common multiple of 18 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121102 + -11?\nAnswer: 121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b. Let x(t) = 201*t**2 - 51*t. Let j(n) = -8*n**2 + 2*n. Let p(u) = -3*u + 12. Let i be p(6). Let y(v) = i*x(v) - 153*j(v). Calculate y(q(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 11*w**2 - w - 125. Let y be t(12). Solve -o - y = -2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 32 - 13 = 0. What is the least common multiple of 3 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + -1 + 3 + (sqrt(720) + -2 - sqrt(720)) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:32 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((4 - (-13 - -14)) + 12 - 100).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, b: 3, m: 1, f: 2, e: 1, v: 2}. What is prob of sequence ivb?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -6. Calculate the least common multiple of 21 and (5\/(10\/(-6)))\/(-1) - b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*h**3 - 4719*h + 4719*h + 246*h**3.\nAnswer: -39*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -17784 times -0.6?\nAnswer: 10670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026938634 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4410\/(-189)*70\/4200.\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - y = -47, -27*z + 25*z - 4*y = -6. Let h = -58 + 74. What is the remainder when h is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 - 1\/((-54)\/18 + 2 + 0). Solve k*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53007?\nAnswer: 3, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 70.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 4*j)*(-8*j**4 - 3*j**4 + 5*j**4) + 0*j**5 + 17*j**5 + 34*j**5 + 2.\nAnswer: 33*j**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {e: 4, b: 9, d: 3, i: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 236807589 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 21*p + 8*p - 6.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 5*s - 8, 0 = 4*h + 5*s + 34. Let m be 12\/(-9)*9\/h. Suppose 2*c + 5*q = 6 + 38, 3*c = m*q + 66. What is the least common multiple of 40 and c?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -22*w**3 + w**2 + w. Let b be m(-1). Suppose 3*g + 0*k - 11 = 5*k, -2*k + b = g. Calculate the smallest common multiple of g and 27 - (8 - 10\/40*-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 plus 23.9157?\nAnswer: 122.9157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(0 + 3\/(-9)). Which is smaller: s or -4\/353?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 - 91 - (-2 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/5 (c) 932 (d) -0.7 (e) -5 (f) 63.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6 and 6261\/1064 - (-139 - -145).\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 - u + 11. What is the remainder when n(-4) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138192?\nAnswer: 2, 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, 1 o, and 1 f when four letters picked without replacement from {o: 5, y: 1, f: 1, e: 6, z: 1}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 7. Let t be x\/((-5)\/2 - -2). What is the units digit of 6\/9 - (-14)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06044 and -628?\nAnswer: 37.95632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - v**3 + 2*v**3)*(-305 - 81 + 95).\nAnswer: -582*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5231568?\nAnswer: 2, 3, 108991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/37)*a)\/((a**(2\/19)\/a)\/a)*a**(-15)*a*a**(2\/41))**(-2\/57) assuming a is positive.\nAnswer: a**(634246\/1642911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404148 is divided by 760?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264873?\nAnswer: 3, 7, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2659?\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + c)*(3*c + 1 - 1)*(-5 + 5 - 3).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 32 = 2*j, -2*y = 4 - 0. Suppose -2*x + 32 = -4*d, 3*x - 117 = -3*d - 42. Calculate the smallest common multiple of j and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2751, 2750, 2749, 2748, 2747?\n\"Answer: -o + 2752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/308)\/((-48)\/(-66)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152338?\nAnswer: 2, 59, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -990\/7, 0, -1\/9?\nAnswer: -990\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4941971 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79554749 to the nearest integer?\nAnswer: 8919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 - 20.41. Let g = d - -19.9. Are g and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -27321?\nAnswer: -1\/9107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -113123 (base 5) in base 15?\nAnswer: -1378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i + 2*q + 92, -1 = -q. Let l = i + 129. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.086 - -0.586. Which is the second smallest value? (a) 0.08 (b) -0.1 (c) g (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1094*j + 91. Let k(u) = 3281*u - 250. Give -11*i(m) - 4*k(m).\nAnswer: -1090*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5394634056 and 2961.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-32)\/(p**(-5)\/p*p*p**(2\/9))*((p**0)**18)**(-2\/11) assuming p is positive.\nAnswer: p**(331\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 != 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let u = -0.4 - -0.2. Let m = -0.3 - u. Which is the closest to m? (a) -4 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 17 + 68 = 4*h, h + w - 16 = 0. Solve n - 6 - 1 = 2*x, 2*n = 5*x + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-11)*4\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*l + 1116*l + 789*l - 3*l + 2*l - l + (4 + 0 - 3)*(3*l + 1 - 1) in the form n*l + k and give n.\nAnswer: 2579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144236844, 144236840, 144236836?\nAnswer: 144236832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/61 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + 0*z**2 + z**2)*(-3 + 4*z + 3 + 5*z - 5*z - 8*z + (-z + 0*z + 0*z)*(-6 + 4 - 1) - 3*z - 3*z + 3*z) as k*z**3 + s + l*z**2 + d*z and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*(65\/364)\/(-1)*72\/120.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (3 + -13 + 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 = 4*r, 2*i - 14*r + 151 = 183 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1028*a**3 - 7*a + 4. Let o be p(3). Suppose -11*z + 58248 + o = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577733409?\nAnswer: 3, 11, 5835691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.75 (b) 4\/3 (c) -1 (d) -70\/13 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13. Let f = -0.36 - 0.04. What is the nearest to 2\/5 in l, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505954882?\nAnswer: 2, 252977441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -107, -3, -21, 5, 0.4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 89, -3, -0.2 in decreasing order.\nAnswer: 89, -0.2, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 809156, 1618296, 2427436, 3236576, 4045716, 4854856?\n\"Answer: 809140*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1094 or -1095?\nAnswer: -1095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34044919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 16. Let g be p(3). Suppose -g*a = c - 359, 0 = -5*a + 5*c + 137 + 293. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92214978 + -9.15.\nAnswer: -92214987.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*g + 32*g - 125 + 18)*(3 + 2*g - 3).\nAnswer: 4*g**2 - 214*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/930 and 25\/34924104.\nAnswer: 174620520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 = a. Let d(r) = -4*r + 25. Let s be d(7). Let c(f) = -f**3 - 12*f**2 - 35*f - 10. Let h be c(-5). Put h, s, a in decreasing order.\nAnswer: s, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125481, 125482, 125483, 125484, 125485, 125486?\nAnswer: 125487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 13. Let z = -6 - -4. What is the nearest to -1 in p, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*c**2 - 482*c**2 - 2*c + 71*c**2.\nAnswer: 102*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871322 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: Calculate prob of sequence qpp when three letters picked without replacement from {p: 2, b: 4, q: 1, j: 11, s: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*s - 90. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15727 divided by -15727\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:23 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 180 = -5*c, -i - c + 119 = 3*i. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 0*i**2 + 39014*i**3 - 39010*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 - c**2 - 2*c**2 + 0 + 0 - 2*c**2 + (-3*c + c + 4*c)*(c + 3*c - 3*c) + c**2 + 1 - 1 - 109 + c**2 - 506 + 956.\nAnswer: 6*c**2 + 341","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(0 - -4 - 2). Suppose y - 3 = 2*z. Let i be z\/10*5\/12. Which is the closest to 0? (a) 0 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 84. Which is the second smallest value? (a) 9 (b) 4 (c) k (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/20 - a**4\/4 - a**3\/6 - 8505000*a**2 + 7*a + 5. Let w be s(0). What is w rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + 13*n**2 - 2*n + 2. Let y(t) = -5*t**3 - 25*t**2 + 5*t - 5. Let a be 5\/(-15) - (-42)\/(-9). Let l(o) = a*i(o) - 2*y(o). Factor l(z).\nAnswer: -5*z**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + (4 - 21 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (0 + -1 - 0). Suppose l = -p - 7 + 9. Let m(a) = -p - 2 + 4 + 4*a. Let u(z) = 3*z + 1. What is -2*m(g) + 3*u(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let v be d(4). Suppose -4*g + v = j - 15, -5*j + 14 = g. Suppose 62 = 2*w + k, -w + 0*k = -j*k - 26. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*z + 750*r - 752*r, 4*z + 3*r + 20 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429335353 minus -1?\nAnswer: 4429335354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846 divided by -282.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 6*k - 6. Let f be l(5). Let n = 16 - f. Suppose 5*j + x = -3, -j + 15 = -3*j - 5*x. Put n, j, -10 in increasing order.\nAnswer: -10, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 13*c - 69)*(c**2 + 3*c**2 + 0*c**2)*(c - c + 2*c).\nAnswer: 104*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 + 22*x**3 - 6*x**3 - 8*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1.75 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + a**2 - a + 1. Let c(z) = -2*z**3 - z**2 - 3*z + 2. Calculate -c(d) - 2*x(d).\nAnswer: 6*d**3 - d**2 + 5*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4 = 4*z, 3*z - q - q = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let p(c) = -486659*c**2. Calculate s(p(t)).\nAnswer: 473673964562*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -23. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*sqrt(15)*-1*-4)\/(sqrt(75) - (sqrt(75) + sqrt(75)*2*-1) - sqrt(75)).\nAnswer: 24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o - 3. Let z be a(-2). Let v be (-4)\/(-1)*z\/4. Suppose 64 = -5*h + v*h. Calculate the lowest common multiple of h and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-8))**(-22\/7)\/(o\/(o\/(o\/(o*o*o*(o**(-8)\/o)\/o*o))))**(6\/5))**29 assuming o is positive.\nAnswer: o**(1972\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2) + sqrt(200)*4)*-4)**2 - ((sqrt(2) - sqrt(8))*-4 + sqrt(16)\/(sqrt(8)*-2) + -2).\nAnswer: -7*sqrt(2)\/2 + 53791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 12:50 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34 + (-2)\/(-11) + 210\/55. Let a = d + 76. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113013313 + -221?\nAnswer: -2113020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 4\/3, 0, 0.3, 19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 15*u + 24. Let n be o(2). Solve 0 = 9*c - n*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5047600649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 69*r**2 - 17*r + 25. Let t be m(5). Calculate the greatest common factor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 374420, 748839, 1123258, 1497677, 1872096, 2246515?\n\"Answer: 374419*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656 and 4637264.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11533346 is divided by 1681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 2*q + 2 = 2*y, -q = -4*y - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 41*r + 4226. Determine t(-103).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h + 14. Let u be d(6). Suppose g + u = 5*g. Suppose -4*v = -0*v - g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 67 = -4*q + 4*g, 2*q - 7*q + 4*q - 29 = -3*g for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = 1. Suppose -5*v + t*f = -242, -v - 143 = -4*v + 4*f. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 490152*c - 1960603. What is t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -352 (c) 4\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txjjdtwl. What is prob of sequence xj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n*n*(n**(-7\/2)\/n)\/n*n**(-1) assuming n is positive.\nAnswer: n**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 7\/2. Suppose 0 = 5*r - d*i - 21, -2*r = 2*i - 4 + 2. Solve -z - t + 4 = -4*t, -5*t = -r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 3*y + 7. What is the hundreds digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100017, -200028, -300039, -400050, -500061?\nAnswer: -600072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/4))\/b**(-9))**(-12\/13) assuming b is positive.\nAnswer: b**(-123\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1312*z**3 + 3*z**2 + 4*z + 2. Suppose 0 = f + 3 - 2. Is i(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -5*t - 4, -4*t + 859 = s. Let g = -458 + s. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 0. Let o = -8 + v. Let q(l) = 2*l + 18. List the prime factors of q(o).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*k + 10*k**2 - 7*k**2 + 107*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 2*t**2 - 35*t**4 - t + 33*t**4 to w*t**3 + n*t**2 + a*t + d*t**4 + b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 14*y = 270. Let a be 9\/y - 12\/(-24). Let g = -2.95 + -0.05. What is the closest to 0.1 in a, g, 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**3 + 100*w**3 - 45*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -7*s + 679. Suppose -s = -17*r - 12. Solve 19 - 4 = -r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-1))\/(((-70)\/(-126))\/((-20)\/(-48))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 13. Let y(w) = 18*w**2 + 33*w + 2. Let d be y(-2). Suppose -3*v - 2*z + 4*z = -d, v - 5*z + 19 = 0. What is the highest common divisor of v and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/16)\/3 - 0. Let h = -0.043 - -2.443. Let i = h + -5.4. Which is the third biggest value? (a) w (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 88\/32 + ((-14)\/8 - -1). Let x(t) = 16*t - 16*t - 186*t**2 + 185*t**q. Let k(c) be the first derivative of c**3\/3 + 1. Calculate k(x(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 433?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187 - -139. Let c = x - -47.9. What is the biggest value in 2, 1\/5, c, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*z**2 + 2*z - 186*z**2 + 182*z**2 - 396*z**2 to the form o*z**2 + g + t*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/240*-10*(-3)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 6*z = -30*l - 225022, -3*l + 3*z = -168744. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75005 and 57925?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m + 5*m)*(704*m - 403957 + 403957).\nAnswer: -704*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*j - 24277 = -8300, 3*m = -3*j + 9579. Is 3198 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 2*r + 2*r + (5 + 0 + 4 + r)*(0 + 2 + 1)*(8*r - 2 + 2) to the form u + a*r**2 + j*r and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757 - 393 = 115*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5208 and 192.\nAnswer: 41664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30773 is divided by 70.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/3*4\/((-220)\/(-33)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 7*s**2 + 3*s + 4. Let y = -8 + 15. Let j be b(y). Solve -u + 6*u = -j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 720*z**2 + 12*z - 2880.\nAnswer: -3*(z - 240)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 1. Let g(a) = 8*a + 2. Let o(y) = 3*y - 42. Let p(k) = 7*k - 82. Let n(h) = -5*o(h) + 2*p(h). Let s be n(40). Calculate s*g(r) - 14*u(r).\nAnswer: -8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 45*h**3 - h**2 - 5*h + 5. Let l(s) = 22*s**3 - 2*s + 2. Calculate 2*d(o) - 5*l(o).\nAnswer: -20*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -23*u + 158. Suppose -22 = -3*r + 2*a, 2*r + a - 10 = -0. Sort r, u, 5 in descending order.\nAnswer: u, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*i - 48, -3*i = -2*i. Let q be 52\/t + (-2)\/6. Suppose -q*n + p + 1 + 3 = 0, -2*p + 10 = n. Solve -3*w - n = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*n - 207 + 197 = 0, d - 5*n = -19 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 410039, 820060, 1230081?\n\"Answer: 410021*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52390 and 36166?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6055 and -77\/50.\nAnswer: 60550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2183 + 8883. Let n = -53691\/8 + c. Calculate the common denominator of n and (-3)\/(-30)*(2 + 57).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.423 * -0.1.\nAnswer: -0.6423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 15*r = 0. Let p = 6 + 0. Let x be 70\/21 - 2\/p. Sort 2, r, x.\nAnswer: r, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 132\/13. Which is the biggest value? (a) 1 (b) -2 (c) l (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 19*a + 17. Let x be f(-19). Calculate the greatest common factor of x and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97*a**4 + 4*a**2 - 28*a - 35057 wrt a?\nAnswer: 388*a**3 + 8*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -18*m. Let c(x) = 5877895*x**2. What is u(c(v))?\nAnswer: -105802110*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 7. Let n(q) = 1 - 2*q + 2*q + 3 + q. Let j(a) = 3*b(a) + 5*n(a). What is j(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242 in 1\/3, 12\/17, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -126519408.8 to the nearest 10000.\nAnswer: -126520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982699 is divided by 291.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -802\/213 - -28085\/11928. Calculate the common denominator of (-2)\/7 + 858\/(-280) and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3 - 0) + (29 - (34 - 13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1258 - 816 = -2*u. Which is greater: -222 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -365, -371, -381, -401, -437?\n\"Answer: -f**3 + 4*f**2 - 11*f - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3219690, -12878702, -28977038, -51514698, -80491682?\n\"Answer: -3219662*k**2 - 26*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 - 6902 - 4287 = -685*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 2 t when four letters picked without replacement from {w: 1, a: 1, c: 2, e: 1, t: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-361)\/(-3 - 687\/171 - (-18 + 11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 20*b**2 + 22*b + 17. Let u be t(-17). Let h = u + -353. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.01 - -5.01. Which is the biggest value? (a) 2\/29 (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppppoppppp. Give prob of picking 2 p.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -62*v. Let a(j) = -17169*j**2 - 4. Calculate a(b(y)).\nAnswer: -65997636*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 + 643. Suppose 20*z + p = 153. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 50 = -f. Let d = f - -8. Let n = -21 + d. What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 5 - 5)*(-448*m - 773*m - 152*m) to t + j*m + s*m**2 and give s.\nAnswer: 4119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92.436 - 0.564. Let t = -825 + 914.3. Let q = t + y. What is q rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(202*x**3 + 13*x**4 - 202*x**3) - 61*x**4 + 240*x - 240*x.\nAnswer: -74*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31882 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and ((-38)\/(-356))\/(7\/((-420)\/(-48)))?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-o + 5 - 5) - 9*o + 0*o - 1 + 3.\nAnswer: -8*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (1 - 10 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + ((-2248)\/580 - -2) and 25\/6?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1368137162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 4*p**5 - 2*p**5 + (p**4 + 2*p**4 - 2*p**4)*(-4*p + 0*p + 2*p) - 148*p**2 - 17*p**5 + 148*p**2.\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 83. Let n be (11\/(-3) + b)*6. Let x be 2*(9\/6 - n). Solve x = -4*h - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**3 - 1. Let q be z(-1). Let x(t) = 10*t - 3*t**2 - 10 - q*t**2 + t**3 + 2*t**2. Let r be x(9). Let o(h) = -12*h - 1. Calculate o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(18))**2 - (sqrt(2) - 1*1*sqrt(2))**2)*-1.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101045054 is divided by 5833.\nAnswer: 5828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 10*i + 50 + 46 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 13 + 7135*q**3 + 13604*q**3 + 7*q**2 + 1 + 10.\nAnswer: 20739*q**3 + 7*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*w + 106, 2*k - 4*k + 102 = 2*w. Suppose -11 - 9 = 4*y, -2*y = 3*m - k. Solve 5*g - 5 = -4*x - 0, -5*x = 2*g - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -23*j**2\/3 - 2161*j\/3 - 1380 = 0.\nAnswer: -92, -45\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -41. Suppose 6*s - 15 = s. Suppose -s + 13 = g. Calculate the remainder when f is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1101*l - 1078*l = 161. Let n(f) = -3*f**3 + 8 + 0*f**3 + f**3 + 14*f**2. Calculate n(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123 + -97 + -40 + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 2*v**2 + 2*v**2 + (-2*v**2 - 5*v**2 + 6*v**2)*(57 - 53 - 57) to m*v + b + k*v**2 and give k.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*u - 3. Suppose -r + u*m - 32 = -m, 5*r = -2*m - 116. What is r rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 885*a**2 + 263*a + 20. What is the hundreds digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 14. Suppose w = 2*j - 47 - 1295. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 2. Let k be i(4). Suppose 4*l + 3*b - 16 = 7*b, 0 = -k*l - 2*b + 12. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 + 1289. Let t = -1049.924 + u. Let k = t + 2.9. Round k to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c + 13 = -5*y, -9 = 2*c + 3*y. Let i = 4 + c. Let w(r) = r**3 + 4*r**2 + 2. Let z be w(i). Solve -2*t + 0 = -z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 907469374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 14 + 16 = 0. Let a be (-20)\/k + 22\/6. Find the common denominator of -97\/10 and (a + (-165)\/(-18))*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -36) + (-6783 - -6791).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477 + 2786. List the prime factors of n.\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**3 + 2*l**2 - 5*l - 3. Determine z(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 at most as big as 517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y. Let h(r) = 16*r**2 + 6*r. Let w(s) = -6*d(s) - h(s). Let c(o) = -2*o**2. Determine c(w(g)).\nAnswer: -200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)\/k*((k**(-11\/4)*k)\/k)\/k)\/(k**(4\/7)*k**(-1\/27)*k) assuming k is positive.\nAnswer: k**(-4751\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/(15\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273868 is divided by 2359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 20. Which is the closest to s? (a) 1 (b) 0.4 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 + 22101011?\nAnswer: 22110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 96 = -60. Suppose f*r = 33*r + 6. Let k be (-8)\/(-4) + r + 16\/(-6). What is the closest to -2\/7 in 5\/2, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218 - -592. Find n such that 81 + 2100*n + 3*n**4 - 1664 + 87*n**3 + z*n**2 - 1417 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/2 - 185)\/((-17)\/34). Calculate the highest common divisor of 44 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -2) - (146 - 131)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36703915491625 take away -0.1?\nAnswer: -36703915491624.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 45 - 29 = 3*l, -l = 2*m + 30. Let a = 418 - 1659\/4. What is the common denominator of a and (l\/32)\/(1\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59910 - -59505.53. Let n = 408 + k. Round n to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448.8005 rounded to the nearest integer?\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let d(h) = -1449*h - 1. Calculate n(d(l)).\nAnswer: 2898*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*w - 424 = 0, 2*i + 4*w - 238 + 2 = 0. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 - 67 = -2*d, i = -3*d + 95. Calculate the greatest common divisor of 62 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*j + 414 = 447*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - ((11 + -59 - 150) + 23)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -20. Suppose 0 = -w*d + 3*d - 14. Suppose 4*g + y - 105 = 0, -24 = -g + 2*y - 0. What is the remainder when g is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1174223, -1 in decreasing order.\nAnswer: 0, -0.1174223, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 134 = -464. Let z = -50 - r. Which is smaller: 14 or z?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q**3 + 2*q**2 - 3*q + 384. Let f(x) = -61*x**3 + 11*x**2 - 17*x + 1931. What is 2*f(o) - 11*l(o)?\nAnswer: 10*o**3 - o - 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + 4*m - 4. Calculate n(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o + 3. Suppose 1 = 2*z + 7. Let j(b) = 8*b - 4. Let k(u) = z*j(u) - 2*s(u). Let g(q) = -q + 1. Calculate -5*g(d) + k(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 2*m - a, 5*m = 2*m - 2*a + 222. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z*z\/(z*z**(1\/13)))\/z))*z**(3\/7)*((z\/(z**7*z))\/z)**(3\/19) assuming z is positive.\nAnswer: z**(-1576\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3163?\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 41*n**3 - 5*n**2 - n + 2. Let f be u(-5). Let b = 10943 + f. What is b rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9526 is divided by 4158.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from zkvvvzzzkcdkk?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -14. Suppose 2*f = g*f - 208. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/33 and (92\/66 - 2)*(-90)\/(-12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 4*o - 26. Give z(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -74, -134, -222, -344, -506?\n\"Answer: -j**3 - 5*j**2 - 16*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r**3 + 0*r**3 + (-r + 0 + 0)*(-13 - 12 + 4)*(-1 - 1 + 1)*(1 - 1 - r**2).\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4, b: 1, q: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1 + j - j**3 - 2 + 0*j**3 + 4 + j**2. Let i = 1 - 1. Calculate u(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23353.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**8\/20160 - g**7\/5040 - g**6\/720 - g**5\/20 + 2*g**2. Let c(k) be the third derivative of x(k). Is 10 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:25 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y. Suppose -3*d = -2*d - 8. Suppose -9*z = -8*z - t - 15, -3*t = -2*z + 35. Let w(v) = v + d*v - z*v. Give j(w(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122976 and 0.2.\nAnswer: 24595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629931.\nAnswer: 3, 209977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 1325\/4, -2\/87, 5?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Suppose 2*a + 2 + 4 = v, -3*v - h*a = -54. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -74, -69, -62, -53, -42, -29?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 46 = 2*d + a, 2*d - 22 = -2*a. Suppose -d*u + 2100 = -0*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30864543 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -24*o**5\/5 + 3*o**2\/2 + o + 68. Find the second derivative of z(g) wrt g.\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*l + 15, 2*w + 13 = -2*l + 15. Sort 1, -2, l, 5, -3 in increasing order.\nAnswer: -3, -2, 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201005 + 235?\nAnswer: 201243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3120 and -0.1.\nAnswer: 3119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386*w**3 + 1390*w**3 + 18*w - 18*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*s = 0, -3*q - s = 16 - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 18*a**3 - a**2 + a. Let t be h(1). Let c be (16\/48)\/((-2)\/6). Let m = t + c. Calculate the remainder when 30 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(1008) + sqrt(1008) + 2*(-2 + sqrt(1008)) + sqrt(1008) + 3 + -5 + sqrt(1008))**2).\nAnswer: -5184*sqrt(7) + 217914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + q, 0 = 2*a - 5*q + 53. Let f = 37 + a. Put f, 5, -5, 1 in descending order.\nAnswer: 5, f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, d: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0722 - -0.9722. What is the smallest value in i, 3\/4, 2.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*p + 5*p. Suppose 3 = -g + p. Let i(k) = 4*k**2 - k - 1. Let a be i(-1). Solve 2 = g*l - t - t, 4*l + a*t = 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*a - 0 - 6, a = -5*t + 12. Suppose 0 = h + 4*f + 14, -t*h - 4*f = 6 + 4. Suppose -10 = q - h*l - 1, -l = -4*q - 8. Is 2\/135 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236877522 by 42.\nAnswer: 5639941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = 15*o - 10532. Let v = o + -619. Calculate the highest common divisor of 780 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 1, b: 1, x: 1, l: 2}. Give prob of sequence obv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 359. Suppose 4*s = v + 41. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2061044 - -6?\nAnswer: -2061036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-27)*-1*(-1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (95 + -90)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*x - 1 = 2*y, 0 = -4*y + 3*x + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**2 + 40*s**2 + 42*s**2 - 120*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, 1\/3, -5, 0.02, -0.041?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u - 5. Let l be c(5). Suppose -10*a - 5 = l. Is a at least 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 - 2*p + 3. Let y be s(2). Let i be y\/2*2\/1. Let t(m) = -4*m + 1. Let v be t(i). Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-4599.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 28*n + 97. Give p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13531950 and -31.\nAnswer: 419490450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 766, 1651, 2674, 3823, 5086, 6451, 7906, 9439?\n\"Answer: -2*n**3 + 81*n**2 + 656*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7511 is divided by 1499?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a8187 + a5?\nAnswer: a825c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 15*k**2 - 58*k**3 + 8*k**2 + 3*k**2.\nAnswer: -58*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 6*j**2 - 7*j + 12. Let o(n) = n. Let q(a) = a - 17. Let p(m) = -o(m) - q(m). Let d be p(6). Let h be w(d). Solve -h = -0*z + 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 110 = 5*m, -m + 5*h + 9 = -13. Solve m*y - 15 - 29 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -44034025*i. Let o(r) = 2*r. Determine o(j(y)).\nAnswer: -88068050*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 1)*(5668\/528)\/(-13) and 33\/8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283958527?\nAnswer: 3, 761319509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - q - 7967 + 1155, -5*x - 4*q - 17030 = 0. Let n be x\/(-6) - 10\/(-30). Suppose n = 11*p + 117. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**45)**29*(y**5\/y**(2\/5))\/((((y\/(y*y\/(y**(-1\/6)\/y)))\/y)\/y*y)\/(y*y\/(y**6*y)*y)) assuming y is positive.\nAnswer: y**(-15547\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36104770 a multiple of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27450384, -27450385, -27450386?\n\"Answer: -n - 27450383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - 1234?\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1377) - (sqrt(1377) + sqrt(1377)*2 + sqrt(1377))))**2 + (sqrt(1377) + 1)*-3)*2*-2*-4.\nAnswer: -432*sqrt(17) + 7138320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1338 and 2115966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3 + (-516)\/(-168). Let f = r + -11\/7. Let s = 24 + -21. Which is the third biggest value? (a) 0 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12473567, -12473576, -12473603, -12473660, -12473759, -12473912, -12474131, -12474428?\nAnswer: -12474815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-21)*752\/564?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 61, 131, 209, 295, 389, 491?\n\"Answer: 4*z**2 + 50*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-92 - -79) + (8 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 578717504 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 6*x - 8 - 4 - 4 in the form i*x + z and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126713538, 126713558, 126713598, 126713664, 126713762?\nAnswer: 126713898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 4:39 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4 and -55\/1468.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-52270)\/(-830) + -39?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, k: 4, e: 7}. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4366758, 4366738, 4366718, 4366698, 4366678?\nAnswer: 4366658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5824 by 832.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/13030 and 73\/125088.\nAnswer: 625440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1\/2*m**2 - 3\/5*m**6 + 19\/6*m**3 - 1\/3*m**4 + 0*m**5 + 6*m - 1. What is the second derivative of d(r) wrt r?\nAnswer: -216*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -q - 17, -10 = 5*q + 15. Suppose 0 = -4*f + p + 58, f - 62 = -t*f - p. Let k(h) = h - 2. Let o be k(6). Solve f = -9*u + o*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) -0.3 (c) 0.5 (d) -2\/11 (e) 21953\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuj when four letters picked without replacement from {o: 1, j: 5, h: 3, u: 4}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206837, -3, -3\/7 in descending order.\nAnswer: 206837, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 - 65588*w**4 - 290625964*w**3 - 178424157692*w**2 - 29516024857696*w + 29694739706944 = 0?\nAnswer: -7852, -347, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and 109 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -3, 606, -8, -5 in descending order.\nAnswer: 606, 17, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -8. Which is the third smallest value? (a) -5 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477970483 to the power of 1\/2, to the nearest integer?\nAnswer: 21863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 2*w + 7. Let l(c) = 2*c - 1. Give 2*l(o) - r(o).\nAnswer: 3*o**2 + 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c1 + -7022?\nAnswer: -6531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*x + 23*x - 21*x)*(2*x**3 - 2*x**3 - 3*x**4 + (-5*x**3 + 0*x**3 + 3*x**3)*(2*x - x + 0*x) + 0*x**4 + 2*x**4 - 4*x**4 + 2*x**4 + 0*x**4 - x**4).\nAnswer: -744*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, -0.8, 4, -5, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - (-232 + 235)) + -19?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1857.6*-4\nAnswer: 7430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32805)\/(-1215)*(-4)\/(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*b - 182428, -2*f + 187*b - 191*b + 121592 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**2 + 15*r + 8. Let u be m(-3). What is the highest common divisor of 155 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 + 7*k - 6. Calculate w(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 21. Let u be 0 + (-1)\/(-2)*0. Suppose 2*i + 8 + u = 0. Put 1\/2, a, i in ascending order.\nAnswer: i, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 82. Suppose 3*z - 15 = -z + q, -z + 20 = 3*q. Suppose -z*h - 2*w - w = -73, 2*h - 5*w - 54 = 0. Calculate the remainder when g is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4412 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256341828 divided by -58286.\nAnswer: -4398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-351)\/585 - (26\/(-10) + 1). Solve -x = 3*i + z, -2*i - 3*i + z + 9 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -17. Let k(o) = -o**2 + 2*o - 2. Let s be k(d). What is the tens digit of (-689)\/s*(1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*((-4*d + 3*d + 2*d)*(2*d - 4*d - 2*d) - 2*d**2 + d - d) in the form j + q*d + k*d**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*c + 12 = 0, 0*c + 4*c = 4. Let o = 5 + k. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let z(s) be the first derivative of s**4\/12 + 3*s**2\/2 - 3. Let h(u) be the second derivative of z(u). What is h(o(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 4, h: 2}. Give prob of picking 1 x and 2 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*0.058.\nAnswer: 0.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {f: 4, k: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (225 + 5310 + 1143 - 2912 + 9198)*(-l**2 + 2*l**2 + 0*l**2) to the form g*l**2 + i + a*l and give g.\nAnswer: 12964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(81 - 24 - 28)*(2*l + 5*l - 4*l).\nAnswer: -174*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 9 = -25. Suppose 174 = 4*w + l - 162, 162 = f*w + 2*l. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3355968 to the nearest 1000.\nAnswer: 3356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j + 1 - 1 + 51*j.\nAnswer: 139*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**8\/112 + m**7\/35 + m**6\/20 - 2*m**5\/5 + 7*m**4\/8 - m**3 + m**2 - 17*m. Factor n(c).\nAnswer: -3*(c - 1)**4*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**2 - 1985*r - 80329. Determine m(-142).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28440 is divided by 27518.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18\/7 - 17\/7. Let y = -1.805 - -3.005. Sort -5, t, 1, y.\nAnswer: -5, t, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 32*n = 29*n. Let k(t) be the second derivative of 0*t**2 - t + 2\/5*t**5 + 7\/12*t**4 + 1\/3*t**3 + 1\/10*t**6 + n. Factor k(x).\nAnswer: x*(x + 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 7*a**4 - a**3)*(5*a + a - 7*a) + (a**2 + a - a)*(0*a**3 - 2*a**3 + 4*a**3) + 0*a**5 + 3*a**5 - 2*a**5.\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -4969 and -4964 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2240) + (sqrt(210) + sqrt(210)*5 - sqrt(210) - sqrt(210))\/sqrt(6))\/(-2*((sqrt(63)*2)\/sqrt(9) - 2*sqrt(7)*-5)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - b**5 - 4*b**3 + (-6*b**4 + 8*b**4 + 5*b**4)*(-10*b + 5*b + 3*b).\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*k**3 + 157*k**3 + 133*k**3 + 158*k**3 - 486*k**3.\nAnswer: 85*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50953 by -1267.\nAnswer: 7279\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 3 (b) 2\/9 (c) 144 (d) 1.8 (e) 0.5 (f) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*o - 12, o - 2 = 3*f - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -126868500 to the nearest one million.\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + 1 + sqrt(2057)*-1*-1 + 0 + ((sqrt(51) - sqrt(204)\/sqrt(4))\/sqrt(3) - (sqrt(153)*5 + sqrt(17))))**2.\nAnswer: -10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 293720?\nAnswer: 881160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -0.0337?\nAnswer: 5.0337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5607)\/712 + (7 - -1) + (-231647)\/(-8). Calculate the greatest common divisor of 228 and a.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhehdddsdeeedcehhd. Give prob of sequence dc.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)*2*-6 + sqrt(1400))\/(6*(sqrt(112) - sqrt(112)*1 - sqrt(112))).\nAnswer: 55*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 3*z + 9. Let t be u(4). Let s(m) = m**2 - 7*m + 12. Let a be s(t). Suppose -a*b - 39 = -111. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5443712 to the nearest integer?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31eb - -8b39?\nAnswer: bd35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110876208059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327298.\nAnswer: 2, 31, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s + 17 = 4*t, 3*t + 31 = -5*s. Is t\/3 + 1043\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 263162608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11759 divided by 18.\nAnswer: -11759\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-19)\/(-4) - 3. What is the closest to 3 in g, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 105 = -5*r. Suppose -r + 3 = -2*s. Suppose -1 - 31 = -3*t + 4*q, -3*t - 2*q + 2 = 0. Calculate the greatest common factor of s and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0395 and -0.1.\nAnswer: 0.00395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -214*g**4\/3 - 8996*g**3\/3 - 5890*g**2 - 9208*g\/3 - 320\/3 = 0.\nAnswer: -40, -1, -4\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 + 4 = 0, -5*q - 4*g + 7 = 0. Suppose -2 = q*h - 5*h. Does 7 divide (1\/h)\/((-2)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1173 + 1806. Suppose 3*w = 3*z - 957, -m = -2*z - 0*w + 3*w. Does 18 divide (-1 + 2)\/(3\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 4, -3, -598 in increasing order.\nAnswer: -598, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 6.441.\nAnswer: -90.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2668*h - 446405 = 2573*h. What are the prime factors of h?\nAnswer: 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.042223 hours to days.\nAnswer: 0.085092625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*s + 84*s**3 + 103*s**3 + 1 - 19*s + 9*s wrt s.\nAnswer: 1122*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64041 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2065447410 and 780?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 443*b - 443*b + 97*b**2 + (6*b - 3*b - 2*b)*(-3*b + 0*b + b) - 7*b**2 + 3*b**2 + 2*b**2.\nAnswer: 93*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(876*i**3 + 22*i**3 + 503*i**3).\nAnswer: 1401*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1148, -4600, -10354, -18410, -28768, -41428, -56390?\nAnswer: -73654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103600189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 437, 1738, 3915, 6974, 10921, 15762, 21503?\n\"Answer: q**3 + 432*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -5.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56\/19 in -3, -4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 10*k - 8. Let r be u(-3). Let p be -1 - -4 - (r + 5). Suppose l - 43 = p*w - 275, -w + 3*l = -64. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4298 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15824 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/54 - (2 - 57\/9). Let s(k) be the third derivative of -m*k**2 - 1\/24*k**4 - 1\/6*k**3 + 0*k + 0. Give s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 2\/15*l**5 + 0*l**3 + 0*l + 0 + 3\/40*l**6 + 0*l**4 - 5*l**2. What is the third derivative of q(k) wrt k?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 55. Let w(s) = s**3 + 8*s**2 - 31*s - 82. Let x be w(u). What is the highest common factor of 64 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150783124 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 1\/2*v**3 + 0*v - 1\/12*v**4 + 0 - v**2. What is the units digit of r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 910 + 60 = 3*q, -2*q - 2*c = -646. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f + 3*f**4 + 8*f + (5*f - 5*f - f)*(-3*f + f**3 + 3*f) + 0*f**3 - 1 - 5*f**4 + 0*f**3 to the form n*f + d + g*f**4 + m*f**3 + w*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.109*1496013.\nAnswer: 163065.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(45\/(-9))*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = -3*c, 0*h + 2*c = -5*h + 6. Let v be -17543 + -2 + (3 - h). Let p = v + 11742. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -5*b**3\/3 - 25*b**2\/2 - 20*b + 539. Find c such that f(c) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -121\/3. Suppose 3*p - 1 - 7 = -l, -5*l - 3*p = -28. Let n = 0.9 - 1. What is the closest to n in l, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11300 - 11288. Suppose 0 = 5*o - 0*o - 25. Solve -10 = 5*z + 5*t, o*z = z - 2*t - x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -8\/7, 2\/3, 14.61658?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*g**2 + 708*g**2 + 301*g**2.\nAnswer: 1454*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*y + 88*y = -69. Suppose 3*z = -3*j - 2*j + 352, -z + 104 = -5*j. Calculate the remainder when z is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 546*c + 4904. Give q(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133252, -266509, -399780, -533071, -666388, -799737?\nAnswer: -933124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/33, -3, -2\/17, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626500.05 rounded to the nearest one thousand?\nAnswer: -1627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7632 (base 9) to base 14\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (396\/264)\/((-2)\/(40\/(-9))).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 335*l + 2*l**2 - 335*l. Let q(b) be the second derivative of 0 - b + 1\/6*b**3 + 0*b**2. Calculate q(u(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.854 rounded to one dp?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010001011 (base 2) in base 5?\nAnswer: 100321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*s + 22 + 3, 0 = r + 2*s + 1. Put -2, r, 588 in increasing order.\nAnswer: -2, r, 588","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106569\/71 + -1501. Let f = v + 75\/142. What is the second smallest value in f, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 1 = 23. Let g(l) = l**2 - 2*l - 6. What is the lowest common multiple of g(6) and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/62400 and 43\/320.\nAnswer: 62400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/4*f**5 + 0 + 0*f**2 + 3*f + 1\/6*f**3 - 1\/6*f**4. Determine l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 - 4*g + 8. Let s be r(-5). Find the second derivative of 79*o**s + 3080*o - 19*o**3 - 3069*o wrt o.\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7121 (base 13) to base 7\nAnswer: -63260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-3 + (-115)\/(-35)). Suppose 0 = -3*j + c - 43, -11*j + 4*c - 67 = -6*j. Sort d, 1, -5, j in ascending order.\nAnswer: j, -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2. Let y(u) = -27448*u. Calculate p(y(t)).\nAnswer: -2260178112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(-2)\/(n\/n**2)**(-36) assuming n is positive.\nAnswer: n**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2914.7 - -2917. Is f greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/71734488 and 71\/63730?\nAnswer: 358672440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552 + 65*i + 68*i - 278*i + 75*i + 71*i - 464.\nAnswer: i + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04224 - 0.0618. Round c to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180899514.\nAnswer: 2, 23, 1109, 42751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 13 = -15*z - 3*u, -3*u + 8 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 89*u = -7070. What is the least common multiple of u and 616?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135070 to the nearest one thousand.\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-32)\/144 + 68\/(-18)). Calculate the greatest common divisor of l and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*b - b, 2*x + 9 = 5*b. Suppose -492 = -9*u + x*u. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 7*l**6\/6 + 45*l**5 + 2155*l**4\/12 - 115*l**3 + 5*l + 370. Determine k so that h(k) = 0.\nAnswer: -23, -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:44 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0329187118087 take away -5?\nAnswer: 4.9670812881913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1375974941 or 1375974942?\nAnswer: 1375974941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65223, -130495, -195767, -261039, -326311, -391583?\n\"Answer: -65272*b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p**3 - 214*p**2 - 536*p - 264 = 0. What is p?\nAnswer: -33, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) + (-9)\/((-567)\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694355517 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*((-184)\/(-10) - 1)\/((-843)\/562)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(-7)\/((-35)\/2). Suppose 10*m + j = 24. Let q = 1 + -4. Which is the third biggest value? (a) q (b) 0.4 (c) m (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 2*sqrt(833))*-1 - (((sqrt(833) + -1 - sqrt(833))*-1)**2 - ((4 + sqrt(833)*2)**2 + sqrt(833)))*2.\nAnswer: 154*sqrt(17) + 6712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 9, 3*k + 2*k - 23 = -4*w. Suppose w*p + 5*c = p - 318, 3*p + 4*c = -910. Is 2\/(-8) + p\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1999, -1810, -1623, -1438, -1255?\n\"Answer: -u**2 + 192*u - 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 57, -4 in ascending order.\nAnswer: -5, -4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 3 + 2 + 0. Let w be 1392\/(-80) + 4\/10. Let j = 17 + w. Solve 4*b - 2*g + 10 = g, 2*g + s = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37249*g + 5*g**3 + 37249*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**3 + 7. Let c(f) = -2742*f + 35642. Let t be c(13). Let g(s) = 17*s**2 - 4 - 17*s**2 - 3*s**3. Determine t*j(d) - 7*g(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in -27\/4, 0.4, 0.2, -0.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 23 - 29. Let z(o) be the second derivative of 0 + 1\/3*o**3 + 0*o**2 - r*o + 1\/5*o**5 + 0*o**4. What is the second derivative of z(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -0.98. Let h = v - 0.955. Round h to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k - 22. Let n = 96 - 99. Let m be q(n). List the prime factors of m - 0 - (6 - (71 - 6)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 498972 and 76884?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2499 and 9408?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 57*q + 158. Let v be u(3). Are 7 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(33\/22)\/(-3)*-1*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2. Let p(i) = -4 + 4 + 5*i + i. What is q(p(n))?\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 10 + 0 + 6*f**2 to h*f**2 + l*f + j and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 9) in base 5?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13*(0\/(-2) + -1). Let x = 266 - 267. Sort -2, n, x.\nAnswer: n, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -242439, -242405, -242339, -242235, -242087, -241889?\n\"Answer: p**3 + 10*p**2 - 3*p - 242447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30979 is divided by 911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 6, 34*a - 29*a - 1 = -3*h. Factor -3\/2 + 3\/4*o**a - 3\/4*o.\nAnswer: 3*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 249, 1 in decreasing order.\nAnswer: 249, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 319 + -219. Factor 11*u**2 - s*u**3 + 8 + 14*u**2 + 8 + 64*u - 5*u**2.\nAnswer: -4*(u - 1)*(5*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 - 3*m + 5. Let w(t) = t**2 + t - 1. What is 3*w(x) + y(x)?\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enn when three letters picked without replacement from {e: 4, n: 7, b: 4}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h + 15*h + 31*h - 67*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -491, -1118, -1997, -3128, -4511, -6146?\nAnswer: -8033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 8. Calculate the remainder when s is divided by (-1)\/(39\/10 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppppprprpp. Give prob of sequence pr.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 43. Find the common denominator of -113\/12 and ((-3)\/(-2))\/(-2 - (-13)\/l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2 + 8 - 37*w - 26 + 9. Let c(a) = -36*a - 6. Give 7*c(x) - 6*u(x).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 divided by 17031?\nAnswer: 185\/5677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 1309. Let g(j) = 174*j**2. Determine o(g(q)).\nAnswer: 348*q**2 - 1309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 175*o**3 + 1 - 3 - 133*o**3 + 3*o. Let a be m(1). Let v = 51 - a. Calculate the highest common factor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144552533 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -1\/14, 1, -5\/2369?\nAnswer: -5\/2369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 19 = -3*j, -3*j - 1 = -2*r. Let a(h) = h - 5*h + j*h. Let v(w) = 11*w. What is a(v(o))?\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/120 - 2*g**4\/9 - 35*g**3\/36 - 3*g**2\/2 - 54*g + 2. Determine z so that d(z) = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 9460545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 3*i**3 + 2*i**5 + (-3*i - i + 2*i)*(4*i**4 - 4*i**4 - 2*i**4) + (-9*i + 2*i - 15*i)*((2*i**3 + 0*i + 0*i)*(6*i - 3*i - 5*i) + 18*i**4 + 5 - 5).\nAnswer: -302*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8753.724 and -0.461513?\nAnswer: 8754.185513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-232)\/(-2726))\/((-2)\/140).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -15, -3*o + 6*o = 4*m + 511. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 - 2*x**3 + 116349*x**2 - 23993*x - 19?\nAnswer: -12*x**2 - 12*x + 232698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3739*x**2 + 16. Let v(j) = -11*j. Determine q(v(d)).\nAnswer: 452419*d**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)\/(-15 + 64\/6 + (-47 - -52))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 589943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000648099 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2008\/1506)\/((-12)\/315).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(189) - sqrt(189)*6))\/(sqrt(12)\/sqrt(144))*-6)**2.\nAnswer: 18370800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 40*b**2 - 2. Let p(i) = i. Determine p(c(a)).\nAnswer: 40*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -58.957. Let c = -1321.743 + 1317. Let s = c - y. What is s rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 50*j - 14. Let q(t) = 47*t - 12. Calculate 6*q(b) - 5*x(b).\nAnswer: 32*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 6. Let g be i(0). Let f be (1 - 9\/g)*-2. Solve 5*r + f = 6, 0 = l - 3*r + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i = 69*i. Suppose -53*r + 69*r - 25680 = i. What are the prime factors of r?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:41 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/11 - 10*m**3\/11 + 16*m**2\/11 + 96*m\/11.\nAnswer: -2*m*(m - 3)*(m + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*6\/(-24)*257 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19745920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65258 is divided by 74?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/7 - 6*g\/7 - 4\/7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/9048375 and -94\/201075.\nAnswer: 9048375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {p: 1, e: 4, i: 2, s: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 925684010 to the nearest one hundred thousand.\nAnswer: 925700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*b - 29, -4*b + 26759*f - 26764*f + 54 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6357367\/7348446 - 3\/58321. Let s = p + -9\/14. Let v be (-2)\/(-10)*15\/9. Which is the second biggest value? (a) 0.04 (b) v (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -21.976 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*a + 297 + 760 - 71. Solve -14*q = 129 - a for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-23)))**(-1\/2)\/((p*p\/p**(2\/15))\/(p*p\/(((p**(9\/4)\/p)\/p*p)\/p))) assuming p is positive.\nAnswer: p**(683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 69. Is -7 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13*o**3 + o**2 - 4*o + 3. Let q be (-1)\/2*(27 + -29). What is w(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - 103*q**2 - 43*q + 192. What is d(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*i + 23 + 2 = 0, 5*a + 2*i + 10 = 0. Let c be a + -1 + -2 + 1. Let z(w) = -w**2 + w. Determine z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 - 35*w + 13*w + 2 + 2*w - 2*w**2 - 37*w to the form k + d*w**2 + q*w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 11*q**2 + 9*q + 10. What is the smallest common multiple of n(-10) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d + 10. Let v(b) = 21*b - 31. Let z(k) = 21*n(k) + 6*v(k). Differentiate z(q) with respect to q.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2 + 12. Let f = 19 - 15. Let j be 3 - f\/4 - 3. Sort k, -4, j in increasing order.\nAnswer: -4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(-2*(-91)\/(-208)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.674138 to 0 decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 12. Let z be u(5). Let q = z - 7. Solve 2*i + 3*i = q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -4) + 1*-8. Let y be (15\/(-10))\/(1\/x). Solve -y = 5*d, -12 - 6 = -3*n + 3*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 9*x - 4. Let t be b(8). Suppose 2*l - t = -5*u + 3, 5*l = 2*u + 3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**2 + 4. Let t(c) = -c**2 + 1. Let w(a) = -b(a) - 5*t(a). Differentiate w(u) with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Let n(f) = 9 + f**z + 3 - 12. Let y(w) = 3*w - 3*w - 3*w**2. Give n(y(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -98.94. Let q = -3.7 + 4. Let c = -86 + 82. What is the smallest value in q, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/10 + 11\/5. Solve -2 = -a*v - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 30880 = -0*g - 218915. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 + 2*w**2 - 2*w + 1. Suppose -4*m + 28 = -4*z, -3*m - 1 - 8 = 3*z. Let r = z - -6. Determine u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15814 is divided by 15082.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 - 195. Which is the third smallest value? (a) n (b) 0 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43\/(-2) - (-2)\/(-4). Let m = 22 - h. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1079, 655, -51, -1039, -2309?\n\"Answer: -141*t**2 - t + 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -516 in 5, 1.23, -2, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.3. Let l = 0.1 + 0.1. Let z = s - l. Which is the closest to -1? (a) 0.5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = u - 2*i + 9, -2*i = -u - 6. What is the remainder when 1*u\/((-8)\/10) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42248 - 47263.2. Round w to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 + 13*j. Let p(h) = h**2 + h. What is -2*p(l) + w(l)?\nAnswer: -l**3 - 3*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(350))\/sqrt(10))\/(-1*sqrt(343)))**2*-5 - (((sqrt(5)*3)**2 + -4 - -1*(sqrt(5) + (sqrt(5) - 3*sqrt(5)))**2) + -2).\nAnswer: -2181\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33600761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:42 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -6. Let h = -2 - f. Suppose 3*q - 3*g = -0*q + 6, -q - 4*g - 13 = 0. Put h, 0, q in decreasing order.\nAnswer: h, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/7)*z*z*z*z)**(-20)\/(z**1*z*(z*z**(-1\/3))\/z) assuming z is positive.\nAnswer: z**(-2015\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = l + 3*y, 0 = 4*l + 4*y. Let q = -1 - l. Let g(a) = -a**3 + 10*a**2 - 17*a + 5. Let k be g(8). Sort k, q, 5.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 6*d = 5*x + 41, d + 2*x = -16. Sort -964, -4, d, -3, 2.\nAnswer: -964, -4, -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474096413 + m**2 - 474096413.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12279\/1)\/((-1)\/(-43)). Suppose -4*l = h + t, l = -3*l - 4*h - 527988. Round l to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00073192 to five dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5.02. Let s = f + 0.38. Let l = 0.7 - -0.3. Which is the closest to l? (a) 3\/5 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008423811227 rounded to 5 decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. What is the derivative of 1 + 4*n**2 + y - 4*n**2 - 3*n**3 wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.529543 to zero decimal places.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71849 is divided by 732?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svve. Give prob of sequence sevv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535737769, -535737770, -535737771, -535737772, -535737773?\nAnswer: -535737774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -882*h. Let s(y) = 3519*y - 17. Let a(g) = -4*m(g) - s(g). Let d(j) = 3*j - 4. Let k(w) = 2*w - 3. Let c(l) = 3*d(l) - 4*k(l). What is a(c(x))?\nAnswer: 9*x + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12060 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**2 - 2*f + 6. Let s be p(2). Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 445 + 409 = 0. Solve 3\/7*i**x + 3 - 24\/7*i = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/7)\/(96\/448)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 9 - 26 + 51*j)*(-2*j**3 - 3*j + 3*j) - 2*j**3 - j**4 + 2*j**3.\nAnswer: -103*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 22 = -5*f + 21, 4*k = -3*f + 51. What is the highest common factor of 13 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 + 29 = 0. Suppose 5*p + r = 2*p, 15 = 5*o + 5*p. Suppose -112 = 4*i - 12*i. What is the smallest common multiple of i and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqnu when four letters picked without replacement from {n: 1, q: 5, u: 6, f: 3}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -124, -130, -138, -148, -160, -174?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1874769\nAnswer: 937384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -383 (base 9) to base 15.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -10*r + 31 - 5\/2*r**2 - 3\/4*r**4 + 0*r**3. What is the derivative of o(x) wrt x?\nAnswer: -9*x**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 3*w**2 - w**2 + (0 + 3 - 4)*(39*w**2 - 235*w**2 - 47*w**2).\nAnswer: 241*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1\/6 (c) -31.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(70) + (sqrt(70) - -5*(1*sqrt(70) + sqrt(70))))\/(sqrt(10) + sqrt(10)*-5*3 + sqrt(10)).\nAnswer: -12*sqrt(7)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3309 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(576) - (sqrt(576) + sqrt(576) + -3*sqrt(576))))**2.\nAnswer: 13\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*h**3 - 12*h**4 + 22*h**4 + 20*h - 5*h**4.\nAnswer: 5*h*(h - 2)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350\/1683 - -4\/153. What is the closest to 14 in 2\/5, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -302 - -114. Let i = -81 - h. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(27)\/(sqrt(18)\/sqrt(2)) + sqrt(6)\/sqrt(2)*3)**2 - (-5 + (sqrt(9)\/sqrt(3) + 5 + sqrt(24)\/sqrt(200))**2)).\nAnswer: -12*sqrt(3) + 667\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2\/8 - 8855*n\/8 + 6602193\/4 = 0.\nAnswer: 1898, 6957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 6. Let b(v) be the third derivative of -v**6\/120 - v**5\/15 + v**4\/4 + 2*v**3\/3 + 13*v**2 + 3. Calculate b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*o + 2*w + 10, -4*o = 4*w + 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*p + 2651*p + 5 - 890*p - 877*p.\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + b - 0*b - 16, 2*g + 2*b - 16 = 0. Suppose h - 8 = g. Suppose 3*l - k - 2*k + h = 0, 2*l = -3*k + 17. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50fe - 1?\nAnswer: 50fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1581424 and 0.1278887.\nAnswer: 1581424.1278887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1008.2 + -1009. What is the third biggest value in n, -30, 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/44574 and -125\/133722?\nAnswer: 133722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222266.\nAnswer: 2, 11, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 + 3526078*y**3 - 107*y**2 + 9820?\nAnswer: 60*y**2 + 21156468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u*u)\/u**7*(u**(-2))**(-29\/3))\/((u*u**0*u)**(-30)\/(u**1\/((u\/(u\/(u**(1\/7)*u)))\/u))) assuming u is positive.\nAnswer: u**(1516\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/168)\/((2\/16)\/((-1)\/(-6)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 - 614 = -4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:55 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2255 + -7?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-27))\/(2\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 5) in base 3?\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4952645*c**5 + 2*c**4 - 92975648*c**2 wrt c.\nAnswer: -297158700*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-44)\/4) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*b - 24*b + 50*b - 6*b**3 + 20*b**2 - 20*b**2 + 4*b**3 + (-3*b**3 - b**3 + 3*b**3)*(2 + 1 - 5) - b**2 + b**3 + b**2 + 4*b**3 - 2*b**3 - 4*b**3.\nAnswer: -b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2683*h + 369263 - 369263 to p*h + m and give p.\nAnswer: 2683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 3. Let q be h(7). Let w = -326527\/5 - -65306. Which is the nearest to 2? (a) 2 (b) q (c) w (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*i - 83*i + 90 = 122*i. Solve 5*h + 2*b - i = 0, 6 = -483*h + 484*h - 5*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x**2 - 15*x**2 + 10*x - 30*x**4 - 5*x + 26*x**4 + 2 - 24*x**3 to the form z*x**2 + s*x**4 + f + d*x + w*x**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*v**3 - 30*v**3 + 40 - 31*v**3 to the form l + h*v**2 + w*v**3 + p*v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**3 - 145*m**2 - 18*m - 37. Determine t(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 91. Let c be v(45). Let a(z) be the first derivative of -c + 0*z + 0*z**2 + 1\/3*z**3. Let j(g) = 15*g**2. Give j(a(y)).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 648490331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(33)\/sqrt(3) + 1) - (1 + sqrt(11) + sqrt(110)\/(sqrt(40)\/sqrt(4)) + sqrt(11)).\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5094 = 20*u. Let y = 848\/3 + u. Let h = -1.6 - -2. Which is the closest to 1? (a) y (b) h (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let x(k) = 36*k**2. Calculate x(i(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*r + 11 = -9, -33 = -3*c - 4*r. Let v = 12 - 2. Suppose 0 = 2*g - c*g + v. Are g and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(12\/3)*(-716)\/(-179)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jejj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:37 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -4, 2.\nAnswer: -21, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) -6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Suppose 2*m + 5*l = 17, -2*l - 56 = -5*m - l. Suppose -4*b = 5*x - 30, 3*x = 6*x + b - m. What is the units digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*19\/(-30) - 2\/(-10). Let g = q - 43\/66. Suppose 0 = -5*u - 10 - 15. What is the third biggest value in 3\/7, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 - 10. Let m = -81 + 76. Is q(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.35 + 4.35. What is the closest to -0.1 in -5, -1, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**8*q*q**8*q)**(-41))**42)**48 assuming q is positive.\nAnswer: q**(-1487808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 - 1. Suppose -n - 3*v = -11, 6*n - v - 7 = n. What is the lowest common multiple of i(n) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 4*d - 77. Suppose 94*a = d*a + 1218. Suppose -3*p + m + a = -m, -391 = -3*p - m. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 457, -2 in descending order.\nAnswer: 457, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, -99\/5, -0.006, -130?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/2 - 43*l**3 + 570*l**2 - 2725*l + 8875\/2 = 0.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/12 - (-44)\/6. Suppose -2*o - 3*i + 16 = 0, -3*i + 0*i = o - h. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5469*p**3 - 2713*p*t + 7*p + 555*t - 35891 wrt p.\nAnswer: 16407*p**2 - 2713*t + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*a + 1995 = -93*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, and 1 l when three letters picked without replacement from oooblrlboboelee.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24843 and 3003.\nAnswer: 273273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 12 = 5*q - q, 6 = -3*q - 3*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*l, 89*s - 12 = 84*s - 2*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.6919 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7451*l**3*o**2 - l**2*o**2 + l**2 + l*o**2 - 8*l*o - 145*l + 1 wrt l?\nAnswer: -44706*l*o**2 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnooiinn. Give prob of sequence iho.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1328\/397, 3.\nAnswer: -1, 2, 3, 1328\/397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 7*c = -272, -3780*s + 3783*s + 3*c - 87 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f**2 + 6324 - 12672 + 6330 as h*f**2 + n + s*f and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpwe when four letters picked without replacement from {t: 6, g: 1, f: 3, w: 1, p: 1, e: 1}?\nAnswer: 1\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-9))\/(4\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 9 + 1017*q - 1076*q.\nAnswer: -59*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28914 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -103005?\nAnswer: 103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5436360 by -6.\nAnswer: 906060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (49\/18)\/(828\/(-54) - -16) and -46\/819.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -6. Suppose 115*a = -166 - 160 - 19. Sort 6, a, d, 0.\nAnswer: d, a, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((1 - 1) + -2). Let y = 4 + z. Let l = -27 - -109\/4. Which is greater: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -0.5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*v + 25 = -0*t, 5*t - 40 = -5*v. Suppose g = 17 - 26. What is the least common multiple of 1\/(8\/g - -1) and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*d - 4. Suppose d*c = -26 - 4. Is (-19)\/(-3) + c\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243*b + 3 + 17*b**4 - 984*b**2 - 25*b**3 - b**5 - 982*b**2 + 1964*b**2 + 38*b**4 wrt b?\nAnswer: -60*b**2 + 1320*b - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose 2*t + 4*g + g - 14 = h, 2*g = 4*t - 4. Differentiate t + v + v**2 - v with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*v + 243*v - 2*b + 9 = 0, 2*b + 20 = 7*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q, -619 - 1023 = 3*z - 4*q. Let r be 6\/z*-26 + 4\/35. Find s such that 98\/5 - 26\/5*s**2 + r*s**3 + 14*s = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r**2 + 7*r - 25*r**2 + 10 + 3*r**2. Calculate f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 4*m = 4*r + 26, -22 = -4*r + m. Let x be (-61)\/(-9) - r\/(-27). What are the prime factors of (-60)\/x*(-5 + -2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 252. Suppose 22153*u - 22474*u = -60669. What is the highest common factor of u and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5966072591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6391 = -n, -2*n + 2*d + 6715 + 6065 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Let x = -0.2 + 0.3. Let y = s - x. Which is the biggest value? (a) 2\/13 (b) y (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5658858\/191 >= -29627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18603561 (base 9) to base 3\nAnswer: -122200010122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 1, r: 7, v: 2, e: 6}. Give prob of sequence cr.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 815771 = 1818194. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let z(v) = -559*v**2 + 464*v. What is z(s(g))?\nAnswer: -2236*g**4 - 928*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -7*l + 685. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 108. Solve x - 3 = 2*v, 2*x - i = 3*v + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 22 = 5*r, 13*r = 4*w + 12*r - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 25*o = 0. Factor -1\/2*f**5 - 1\/2*f + 0*f**4 + f**3 + o*f**2 + 0.\nAnswer: -f*(f - 1)**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60460 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3419153187\/11087 + 308393. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38965.972491 + -38966. Round w to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220341 to the power of 1\/2, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h + 0*h - h)*(0*h + 6*h + 0*h) to c*h + w + v*h**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/100 - l**4\/60 + l**3\/30 + l**2\/10 - 2*l - 4. Let s(u) be the first derivative of k(u). Factor s(b).\nAnswer: -(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21510 and 982?\nAnswer: 10561410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73784 is divided by 258?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 + 4*v**3\/3 - 3*v**2 - v. Suppose -5283*a + 5279*a + 32 = 0. Calculate j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 12, 0*d - 5*n = 2*d - 25. Let g be 1*5\/d + 1. Is (2\/g - (-93 + 2)) + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000429170275 rounded to six decimal places?\nAnswer: 0.000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, j: 3, r: 6, e: 4, s: 3}. Give prob of picking 1 s, 1 r, and 1 e.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*z + 3*z**3 - 25*z**3 + 17*z**3 to o + j*z**2 + u*z**3 + l*z and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5 - 1 - 1 + 7*a**2 + 2*a**3 - 3*a**2 + 4*a. Let t = 7 + -9. Determine y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) 2\/9 (c) -2\/5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/11299 - 146899\/33897. Find the common denominator of -57\/784 and b.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/5 - 292*w**3\/5 + 4299*w**2\/5 + 918*w = 0. Calculate w.\nAnswer: -306, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -41 (c) -4557\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 13 + 2*f**2 + 16446*f + 111 - 16320*f = 0. Calculate f.\nAnswer: -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k + k)*(-48*k - 11*k**2 + 48*k)*(-k + 1 - 1).\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*z - 16, 10*z - 31 = -3*y + 5*z. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfgr when four letters picked without replacement from {c: 3, r: 5, g: 1, m: 1, f: 3, d: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 9*p**2 - 24*p - 26. Let d be (21*7\/(-21) + -15)*(-4)\/(-8). What is b(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (9 - (-7 + 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (3 + -122 + 69).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 10, j: 4}. Give prob of picking 2 s and 2 j.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003831196 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnusnntsnzzssg. What is prob of sequence un?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18477237.\nAnswer: 3, 6159079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 + 8*j + 1. Let c(p) = -8*p**2 + 9*p + 1. Let r(u) = 6*c(u) - 7*h(u). Let l be r(-1). Solve l*n + 3*m + 11 = -2*m, n + 2*m = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1432 (b) -5 (c) -2\/11 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67779 is divided by 22593.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and -14*(3 - (1 - -3))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 50 = -170. Calculate the least common multiple of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (122*k - 58*k + 1278 - 65*k)*(1 - 1 + 2) as c + v*k and give c.\nAnswer: 2556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4 and 19\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 9*d**2 - 12*d - 7. What is r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*i + 5*i = -148, -k + 2*i + 72 = 0. Let r = 68 - k. Suppose -4*z = r*z - 24. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-1)\/12)\/(464\/(-3132))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 61405243*i - 4.\nAnswer: -61405243*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -16*w + 39*w - 12*w - 10*w. Let g(v) = 71*v**2. What is a(g(y))?\nAnswer: 71*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2848492 and 6409107?\nAnswer: 25636428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -99.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/24, 0.2 in increasing order.\nAnswer: -1\/24, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 999223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3759479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 177*n - 552, -14*n - 5*n + 22*n = -4*q + 7*n - 40 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 12*o**2 + 31*o - 5. Let u be j(7). Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -40. Let y = -72 - -110. Let k = y + z. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/75 - 170\/2125.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a millennium in years?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 70, 100, 164, 274, 442?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221023002 + 2?\nAnswer: 1221023010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -1298, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -64214016\nAnswer: -1\/8026752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1409*x**2 - 711*x**2 - 37439 - 695*x**2.\nAnswer: 3*x**2 - 37439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5405 = -5*t, t + r = -3*r + 1062. List the prime factors of t.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 21*p + 441\/4.\nAnswer: 3*(p + 7)*(p + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23107 + 23108. Put 1\/2, -4, -2\/7, 4, y in ascending order.\nAnswer: -4, -2\/7, 1\/2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-30)*(-350)\/2. Let o = -24 + v. Suppose 0 = 17*a - 2366 + 411. Calculate the greatest common factor of a and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2\/11, 3, 37?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/3)\/j)\/(j\/(j\/j**(-1)*j)))\/((j\/(((j\/j**1)\/j*j)\/j))\/(j\/(j*j**10*j*j))) assuming j is positive.\nAnswer: j**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*l. Put l, 1, -4 in descending order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/33, -1\/2, 35\/114, -15?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:33 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 + 118. Which is the smallest value? (a) 24 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 1206, 3023, 5618, 8985?\nAnswer: 13118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10860 is divided by 10851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 382, -100, -5 in descending order.\nAnswer: 382, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + 4*b)*(1 + 1 - 1)*(1 - 2*b - 1)*(-1 - 2 - 1)*(7 - 25 - 21).\nAnswer: -1248*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 4\/6. Let o(x) = -x**3 - 50*x**2 + 136*x + 1668. Let b be o(-52). Let t = -3 + 4. Sort b, t, f, -5.\nAnswer: -5, f, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 153*r**2 - 372*r - 11715. Calculate i(150).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-21))\/((-6)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 26*x**3\/3 - 4*x**2 + 4*x - 28. Let q be p(6). Suppose -6*v + 6134 + q = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n**2 - 5*n + 4*n + 2*n + n**2. Calculate x(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7316 times -12\nAnswer: 87792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24138985 to the nearest integer?\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from wrxwx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 30 - 2 + c**2 - 18.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfbfbbbfbfbbbbffbfb. What is prob of picking 4 b?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6)*z*z**(-7))**(2\/43) assuming z is positive.\nAnswer: z**(2\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -731, -1323, -2511, -4493, -7467?\nAnswer: -11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-9) - (-8)\/(-20)*-5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14144 take away -28?\nAnswer: -14116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18842 is divided by 2083?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1232143143?\nAnswer: -1232143140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 35*o + 3005. Let x be w(-75). Suppose -33*v**x - 288*v - 1113\/4*v**4 - 1617\/2*v**3 - 27 - 3621\/4*v**2 = 0. Calculate v.\nAnswer: -3, -2, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/2510 and 79\/60.\nAnswer: 15060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 33*c - 38*c - 2590, c + 2574 = 5*m. What are the prime factors of m?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -4\/20395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 134*q - 15. Let l be 6*(-4)\/(-6) - (-1 + 4). Does 7 divide y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*m + 3. Let g be m + 10 + 1\/(-1). Solve -a = -g*a - 5*l - 30, 4*a + 14 = -2*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 35 = 11*g - 8*g, 31*f + 2*g = 34*f - 23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*f**2 - 31*f**2 - 7*f**2 to the form s*f**2 + y + r*f and give s.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 7*j**2 - 3. Let a be s(7). Suppose 3*o = -3*c + 3, -o + 0*c + 4 = 2*c. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (267\/2314*(2 + 0))\/(3\/(-4)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1521720 and 71\/16908.\nAnswer: 1521720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -2\/9 (c) 0.1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)\/sqrt(2)*-4)\/(sqrt(392)*-3))**2 - (sqrt(28) - sqrt(112)\/sqrt(4)*-2)\/(-4*sqrt(144))) + 3.\nAnswer: sqrt(7)\/8 + 205\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-204)\/46) + (-11)\/33?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70532845?\nAnswer: 5, 19, 101, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 less than or equal to 314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, and 1 l when three letters picked without replacement from ilrrtfx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -144 - -34?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17 + 15 + 6 + -4. Let o(t) be the third derivative of -1\/8*t**4 + 4*t**2 + 0 - 1\/120*t**5 - 3\/4*t**3 + x*t. Factor o(k).\nAnswer: -(k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 415 and 2906\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.04, -0.2, 138\/173, 0.4, -23?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 931 = 108*r + 2966 + 6165 for r.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 2698?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 11. Let s(a) = -a - 4. Suppose 2*f = -7 - 5. Let u be (-648)\/30 + f\/15. Let t = u - -14. Give t*s(i) + 3*r(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/4 + 8*m**2 + 36*m = 0.\nAnswer: -4, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 16 = b, -500*b + 502*b + 5*z - 17 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16686164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -81. Let h = 5 + -11. Let n(v) = 8*v**2 + 8*v - 1. Let j(u) = -u**2 - u. Calculate h*j(w) + y*n(w).\nAnswer: -2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnfnnnfnnn. Give prob of sequence nnnn.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 + (7 - 6) - 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23250)\/(-6045))\/((-100)\/3640).\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*1)\/2 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692 a factor of 9147815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.05, 0.4, 0.8, 0.1, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/41782 and -101\/130.\nAnswer: 208910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Suppose 5*o + 42 = s, o + 38 = -5*s + 352. Let a = 65 - s. Let i(h) = -h + a*h - 10*h + 20*h. Determine w(i(y)).\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 51*h**2\/2 - 3416*h.\nAnswer: h*(h - 61)*(h + 112)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - -5) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33145)\/49)\/(-5) - 52\/182. Solve -x = 8*f - 143 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -22\/5*c**5 + 0 - 400\/3*c**3 + 14*c + 0*c**2 - 2\/15*c**6 - 140\/3*c**4. Factor r(j).\nAnswer: -4*j*(j + 2)*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310012 + -1103332?\nAnswer: -2020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/57? (a) 5 (b) 0 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6256.3 from -3.\nAnswer: -6259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 22. Let f(x) = -x**3 + x - 2. Let v be f(-2). Suppose 0 = -4*n - v + 12. Solve c = n*g - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.235224 to the nearest integer.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 549\/2 + -270. Let k(d) be the second derivative of 0 + s*d**2 + d + 1\/2*d**3. Differentiate k(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (sqrt(700)*2 + sqrt(700))*-4 + -4))**2*-3.\nAnswer: -7561200 - 72000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (((sqrt(108)*-6)\/sqrt(12) + sqrt(9))*4)\/((sqrt(243)*-2 - sqrt(243)) + (sqrt(48) + sqrt(48) + sqrt(144)\/sqrt(3) - sqrt(48)))).\nAnswer: -60*sqrt(3)\/19 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -2. Suppose 0 = j*h - 0*h - 6. Factor 2*b - 2 - h*b + 2*b**2.\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*o*z + m*v*z - 2*m - 2*o*v*z - 104*o*v + 11*o*z + 46*v*z - 57*z wrt v.\nAnswer: m*z - 2*o*z - 104*o + 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 18*x**2 + 46*x + 53. Let d be 8 - ((36 - 8) + 3). Let l be j(d). What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0.3. Let s = 2.8 - 3.8. Put -5, s, f in descending order.\nAnswer: f, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 + z - 4. Let i be u(7). Suppose i*f - 1548 = 3*g - 8*g, -514 = -f - g. List the prime factors of f.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -834555, -1669099, -2503643, -3338187, -4172731?\n\"Answer: -834544*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-913)\/(-664)*9\/(-198)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x + 6. Let j(t) = -t**2 + t + 25. Let d be j(5). Determine l(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7876)\/537 - -15*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -1\/59, -0.1 in decreasing order.\nAnswer: -1\/59, -0.1, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 277 + 122. Let y = 403 - f. Solve 3*w - 5*w = -y, 5*w = 3*r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 15. Let h be r(-5). Let w(z) = -z**2 - 13*z - 5. Let f(d) = -12*d - 5 - 20*d - 2*d**2 - 7. Give h*f(i) - 12*w(i).\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 11*r**2 + 17*r + 6. What is the tens digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 974402?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -45346533 (base 7) in base 13?\nAnswer: -a816aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4\/3 - 228*z**3 + 1332*z**2 - 1980*z.\nAnswer: 4*z*(z - 165)*(z - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3 - 125 = 4*y - 52, 0 = -8*f + 2*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -13. Let w = n + 3. Suppose 0 = 3*b - 0*b - w. What is the biggest value in b, 0.3, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxjxxggxjjxjggxxxx. Give prob of picking 1 j and 3 g.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486, 1488, 1492, 1498, 1506, 1516, 1528?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 + 3*q - 11. Calculate the remainder when w(3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 3*y - 25 = -22*f, 3 = 3*f - 5*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 7*z + 11. Let b(q) = -q**2 + 3*q - 5. Suppose 4*y + 6 = -6. Give y*t(h) - 7*b(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85040.\nAnswer: 2, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 17, 34, 69, 128, 217, 342, 509?\n\"Answer: p**3 - 2*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(-1\/3)*j)*j**17 assuming j is positive.\nAnswer: j**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624655 divided by 724931?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6 - 0) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let v(x) = 8*x + 3. Give h(v(g)).\nAnswer: 8*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -305*p**2 + 2414*p**2 + 4*p**4 - 2981*p**5 - 4*p**4 + 1164*p**5 wrt p?\nAnswer: -109020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.09378?\nAnswer: -2.09378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 6*o + 5. Let w(n) = n**2 + 7*n + 8. Let t be w(-6). Suppose -t = -f + 3. Let r be m(f). Calculate the greatest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z = -2*u + 324, -2*z - 4*u = -120. Suppose 13*i + z = 690. Let f = -12 + 11. Sort -4, i, f in decreasing order.\nAnswer: i, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let m(k) = -2*k**3 - k**2 - 4. Let i(w) = -6*w**3 - 3*w**2 - 11. Determine d*i(n) + 11*m(n).\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, q: 5}. What is prob of sequence aaa?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38918093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8379 - 5?\nAnswer: 8374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 187 = -28*a. Let q(h) be the second derivative of h**4\/12 - 5*h**3\/6 - 2*h**2 - 130*h. Give q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/10 + 1)\/(6\/30). Is (-3)\/(-2) + (-6200)\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:42 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/11 (c) -1.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b**2 + 2 + 1 + 4*b**2. Let l(t) = 72 + 5*t**2 + 62 - 127 + 4*t**2. Give -6*l(j) + 14*m(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-8)*(-14 + 10) + 6 + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 32. Suppose 2*r + 4*l - 49 = -9, -2*r = l - 25. Let b = m - r. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4\/11))**(2\/57))**(-29))**14 assuming v is positive.\nAnswer: v**(3248\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:47 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {k: 1, d: 10, e: 3, h: 1, c: 2, u: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 208\/6*108\/16. Suppose 2*x = -4*q + m, 3*x = -q + 225 + 131. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18290910 and 518178?\nAnswer: 7734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10952 = 7875*v - 6654*v + 29267 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 n when three letters picked without replacement from ggigighiggggghnhgngn.\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)\/(l*l*l**(-9\/4)))\/((l*(l*l*l\/(l**(-4)\/l))\/l)\/l*(l\/l**(-8))\/l) assuming l is positive.\nAnswer: l**(-303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oroorroororozruro. Give prob of sequence ro.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2285*x**2 + 2514*x**2 - 5003*x**2)*(-x - 3*x + 3*x + (1 + 1 + 0)*(0*x - x + 2*x)) to the form a*x**3 + n*x + g*x**2 + r and give a.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -128, -458, -1110, -2192?\n\"Answer: -18*x**3 + x**2 + 7*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 0\/(-3 + -1) + 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 + 8*w + 11. Let l be o(9). Suppose -l*z = -4*z + 4. Suppose 8 = -z*b + 6*b. Solve 5*k + 2*i + 1 = 15, -i + 6 = b*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 77*v**2 + 113*v**2 - 473*v**2 + 4*v + 181*v**2.\nAnswer: -102*v**2 + 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12071 = 32*i - 15065. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-508100)\/(-110) - 5\/(-5 + 60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/476 + (-2)\/(-34).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 112 - 207 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-3))\/((-85)\/2244). Suppose q*n + 36 = 47*n. Let t = 105 + -72. What is the smallest common multiple of n and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-167.8.\nAnswer: -3.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (156\/(-403))\/((-8242)\/163). Let f = 4\/317 - s. Let v = 60\/403 + f. Which is the closest to -1? (a) v (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + -0.48. Sort -2, l, 2\/3.\nAnswer: -2, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60126735 divided by 339\nAnswer: 177365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/49 or 0?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155441006 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16438 - -30731. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 7*u**2 + 18 + 4*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25658 <= 25629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2001.6686 and -4694.\nAnswer: -6695.6686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0*n**3 + 9*n + 19\/24*n**4 + 0 - n**2. Let x(l) be the third derivative of -l**5\/60 + l**2. Calculate i(x(y)).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23320*s - 32668*s + 1262*s.\nAnswer: -54726*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (112\/136)\/((-36)\/(-2448))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 30 = 2*o. Solve 2*k - o*q - 3 = 0, -q = 3*k + 2*q + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + 2 + (-4336)\/(-24). What is the third derivative of 38*l**3 + d*l**2 - 285*l**2 + 174*l**2 wrt l?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1821 + -2?\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 16. Solve 0 = c*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.597676 millennia to decades.\nAnswer: 759.7676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33900.29 decades?\nAnswer: 3390.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k + 7130 = 51*k. Suppose 0*z - 266 = 2*z. Is 22 a factor of (-19)\/z - k\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3495*r**2 - 1195*r**2 + 38*r - 15*r - 2*r**3 - 23*r to d*r + l*r**2 + j*r**3 + y and give l.\nAnswer: 2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*d**3 + 221*d**3 - 446*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1994199 and 11\/744.\nAnswer: 15953592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 3, c: 6, w: 2, j: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4346911\/47972204 + 9\/73577. Calculate the common denominator of h and -64\/815.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 917150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-264))\/((-1)\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 10 - 2. Is 263\/2*(z + -8)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let y = 8061 + -4473. Let m(s) = 3588 - 3*s - s - y. Determine m(c(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*y - 16, -150 = -30*d - 5*y - 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let j = 10 + -14. Let y(p) = 2*p. Let g(c) = j*a(c) + 5*y(c). Let u(h) = -8*h**2. What is g(u(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -44. List the prime factors of 49*d\/16*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 14, -40, -150, -334, -610?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*v + 28*v - 80*v + 5*v - 59*v to the form k*v + y and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12148*a + 9491. What are the prime factors of l(-6)?\nAnswer: 11, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442943297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22038 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 131, 189, 247, 305, 363?\n\"Answer: 58*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 275 - 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/5))\/b**(2\/7))\/(b**(3\/4)*b**(-3\/2)))\/((b\/b**(-2\/13))\/(b**(-1\/5)*b))**6 assuming b is positive.\nAnswer: b**(-471\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32279 is divided by 71?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19154278753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1417 + 1422. Which is the closest to -0.1? (a) -2 (b) q (c) 0.1 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2226 (base 13) to base 15.\nAnswer: -1629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 6 + 42. Let h(y) = -y + g*y - y - 2. Let o(c) = -2*c + 1. Calculate 5*h(r) + 6*o(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -236915 greater than or equal to -236912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/11161650 and 46\/12277815.\nAnswer: 122778150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(6\/(-108) + 2257\/4662).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19150 rounded to the nearest 100?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.9 + 724?\nAnswer: 1140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + (-15)\/(-36). Let b(g) be the third derivative of 0 - g**2 - v*g**4 - 1\/6*g**3 + 0*g. Differentiate b(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.2225728 to zero decimal places.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = 4*c, 19 = 2*q - 0*q + 3*c. Suppose 0*t = 5*v - 5*t - 125, -45 = -q*v - 3*t. 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: How many minutes are there between 2:48 AM and 12:43 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*g = 0, -2*x - 4 = -4*g + 2. Suppose y = x*y + 5*w - 485, y = 2*w + 238. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d**3 + 2*d**2 - 2707039*d - 77280360 wrt d?\nAnswer: 30*d**2 + 4*d - 2707039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18098.5 minus -309?\nAnswer: -17789.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**4*q - 1300974*n**3*q*r + 2*n**2*q*r + 3*n**2*q - 14*n*r - 5*q*r - 18*r - 127 wrt n?\nAnswer: -144*n*q - 7805844*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 20527?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 179730636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*x - 3*n + 9, -5*n = -2*x - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/1959232*88)\/((-18)\/(-44))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(0*g + g + g) - g - 2*g + g - 7*g + 2*g + 39*g + (-4 + 4 - 1)*(2*g - 4 + 4) + g + 3*g - 5*g - 6.\nAnswer: 33*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662794 divided by 2.\nAnswer: 331397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 82?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*5)\/((10\/188)\/(-5)). Suppose -9*k = k - y. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*o**3*q**2*y**3 + 179*o**3*q*y**2 - 4*o**2*q**2*y**2 + 73*o**2*q*y**2 - 2658*o*q**2*y**3 wrt y.\nAnswer: -144*o**3*q**2 - 15948*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 61.\nAnswer: -73\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23991 (base 13) to base 6\nAnswer: 1222320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b - 2. Let s(z) = z**2 - 3*z + 3. Determine -5*g(i) - 3*s(i).\nAnswer: 2*i**2 + 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 645*p + 32120. Give j(-50).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996.685268 rounded to 1 decimal place?\nAnswer: -3996.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*r - 36 = 0, -3*l + 2*r - 49 + 157 = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q + 4*m, -4*q + 2*m + 29 = -3*m. Let n be -4 - 0\/(-1*2). Sort q, -1, n in increasing order.\nAnswer: n, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 2887115264.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2 + 4444405*m - 4444410 = 0. Calculate m.\nAnswer: -888882, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 8. Suppose 3*f = 3*n, -4*n - w*f + 21 = -f. Suppose -n*m + 32 = m. Solve 2*r - g = -m, 3*r + 4*g = 2*r - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 8. Give f(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*m*v**3 + 297412*m*v**2 - 182491571*v**3 wrt m?\nAnswer: -39*v**3 + 297412*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 413894, 827779, 1241664?\n\"Answer: 413885*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 235, 954, 2159, 3850?\n\"Answer: 243*u**2 - 10*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -337 + 358. Let p(q) = -2 - 4 + 3*q**2 - 2 - 4*q**2 + 29*q. Let b be p(g). Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 3. Let t(a) = 5*a - 3. Calculate -3*t(c) + 4*u(c).\nAnswer: 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33119, 55121, 77123, 99125, 121127?\n\"Answer: 22002*f + 11117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:36 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -2)\/(19 - -3) + 22866\/(-31746)\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**4)\/r*r)\/r**(-4)*r**10*(r**(-7)*r)\/r assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/53)*w*w*w\/(w\/(w**19\/w))*w)\/(w*w\/(w*w*w\/(w*w*w**(-3\/7)*w))*w)**8)**(5\/3) assuming w is positive.\nAnswer: w**(865\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeeaaageaeaeeaeaaaa. Give prob of sequence ea.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(720))*6 + 2 + sqrt(720)*-3 + (0 + -2 + sqrt(720) - (sqrt(720) + -1*sqrt(720) + 2)))**2.\nAnswer: 384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93175100 in -1\/4, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -2*u + 75. Calculate the least common multiple of u and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121596 = 89*j - 101438. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17720, -17741, -17808, -17933, -18128, -18405, -18776, -19253?\nAnswer: -19848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f - 1. Suppose 0 = -o - 3*o + 36. Let s(n) = -3 - 4 + 4 + 5*n + o*n. Determine -17*i(p) + 6*s(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17 and -1060916367.\nAnswer: -1060916367.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**20*v**(3\/4))**(-1\/32) assuming v is positive.\nAnswer: v**(-87\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -623, -1278, -1957, -2672, -3435?\n\"Answer: -2*x**3 - 641*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11877002, 23754002, 35631002?\nAnswer: 47508002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1806)\/(-43)*(5 + 99\/(-21)). Solve i*w + 35 = 7*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/974076 and -133\/15585216.\nAnswer: 15585216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*s - 4*s. Suppose 68 = -2*f + s*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003197 to the nearest 1000.\nAnswer: 1003000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825562405 and 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = p - 4*p. Let f = -909 + 950. Calculate the remainder when f is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x**2. Suppose -448 = -3*b - 247. Suppose 0 = -74*g + b*g - 21. Let t(q) = -28*q**2. What is g*t(s) + 7*c(s)?\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*f - 14, -2*m - f + 8 = m. Let a(o) = 8*o**2 - 3*o + 1. Let j be a(m). Let i = 61 - j. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.3 (c) -346 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**41\/(d*d**(-28)*d) assuming d is positive.\nAnswer: d**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 108 (c) 0.04 (d) 6 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 242490380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*d*f**3*r**3 + 52*d*f**3 - 5*d*f**2*r**3 + 2*d*f*r**2 - 3*d*f - f**3*r**2 wrt r?\nAnswer: 480*d*f**3 - 30*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**9\/(w**12*w))\/(w*w**(-13)*w\/(w**11\/w)))**38 assuming w is positive.\nAnswer: w**646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 221959801771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(98)\/(sqrt(7) + sqrt(14)\/sqrt(2)))\/(sqrt(16)\/(sqrt(16)\/sqrt(2))).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 - 7*u - 6. Let b be r(-6). Suppose b = -3*w - 2*p + p + 10, w = -p + 2. Suppose -w*y + 2*y = -2. Let j(o) = -o + 1. Determine j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + 52 + -17 + 7 + -25?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 - x**3 - 5*x**2\/2 + 5*x + 197. Determine j(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1644 (base 10) to base 9\nAnswer: -2226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 72?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from fffwm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2487 is divided by 310.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(2016\/1435) + -23?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1500)\/(-22) + (-2)\/11. Suppose -4*x + q = -0*x. Solve i - 5*l - 5 = x, -5*i - l + 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*p + 2*f - 34, 4*f = -5*p + 58. Let c = 17 - p. Suppose -38 = -3*w + c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7075003 days to milliseconds.\nAnswer: 61128025.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -600 + -3009. Let x = -3615.958 - g. Let h = x + 6.9. What is h rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let z(c) = -3*c - 2 + 1 + 4*c. Let a(j) = -2*r(j) + 3*z(j). Let g(s) = -3*s - 180*s**3 + 86*s**3 + 3 + 0 + 95*s**3. Determine -3*a(o) - g(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1318*y + 1336 with respect to y.\nAnswer: -1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 23*t**2 - 21*t**2 - 4*t**2.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -132862370 to the nearest 1000000.\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81.5 - 81. Which is the biggest value? (a) 4 (b) p (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -18*g + 156. Let k(a) = 2*a**2 + 143. Let u be k(0). What is the highest common divisor of g and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287675 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = -219 + 375 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 - 3)*(11 + j - 11)*(-15 - 8 + 8) to w + m*j and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five halves of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -152.6 (c) 1\/2 (d) -15 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 18. Suppose 0 = k*z - 3*z - 54. Suppose -4*h - 3*o + 3 = z, 0 = -2*h + 5*o + 31. Solve 3*l - 21 = -3*r, r = h*r - 5*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*x + 3 + 39, 5*c + 3*x = -47. Let o = c - -11. Let z(u) = 24*u**3 + 2*u**2 - u. Calculate the remainder when z(o) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*i = 3 - 25, 26 = 4*g - 2*i. Suppose 0 = o + 4*o + n - 1516, 932 = 3*o - g*n. Calculate the highest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*c + 4 - 41, -4*c + 16 = 0. Suppose -3*f + 8*f + 95 = 0. Let m = d - f. Solve -4*w - 2 + m = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 85\/(-170) - (7\/2 + 2). Is 4966\/((4\/7)\/(z\/(-21))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3 + 10*p**2 - 28*p + 11. Give h(7).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -1) + -1 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -30*a**2 - 25*a + 23. Let m(w) = 14*w**2 + 13*w - 12. Let u(r) = 5*m(r) + 2*s(r). Does 11 divide u(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + 9*b + (-43 + 43 - b)*(0 + 1 + 0))*((0*b**2 + 0*b**2 - 4*b**2)*(-2*b + 0*b + 3*b) - 2*b**3 - 2*b**3 + 2*b**3).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 839 - 118 - 5\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.850847 to 1 dp.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -5. Suppose -a + 87 = f. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 155017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3 + 0*t - 3 + t. Let v be g(8). Suppose -7*u = -v*u - 160. What is the highest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/10)*q*q**(4\/3)\/q*q*(q**(-2))**(20\/3))**20)**(8\/11) assuming q is positive.\nAnswer: q**(-1808\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocyo when four letters picked without replacement from oocy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 850*x - 850*x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrrohhhbo. Give prob of sequence rro.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256.062 - -2.062. Is f equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, 277 in decreasing order.\nAnswer: 277, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6064459?\nAnswer: 6064459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -38, -6, 168.\nAnswer: -38, -6, 3, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7376251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510 - 246. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 161*w + 1421 + 399 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4, 0.13, 0.901?\nAnswer: 0.901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -30. Let z(m) = -m**2 - 10*m - 11. Let h be z(-8). Sort h, l, -5.\nAnswer: -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:07 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -11*h. Let x be 276\/690 - (1 + (-33)\/5). Solve -l - 1 + x = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 52?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.85 - -26.85. What is the second smallest value in 0.113, a, -3?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15240 - -15245. Solve o*h - 4*x - 9 = 0, -2*x + 302 - 279 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426342 is divided by 929?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3407*c*g**3*q**3 + 2*c*q**3 - 2*g**3*q**3 + 151*g**2 - 8*q**2 with respect to c.\nAnswer: 3407*g**3*q**3 + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 56 = -8*v. Suppose -5*h + 5*p = -2*h - 12, 0 = 3*h - 3*p - 12. Suppose 0*s + 20 = h*s. Solve s*j + v = -6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13514621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8239 and 35112?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2, 286, 0.4, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/2)\/(12\/18). Let h(w) = -w**3 - 5*w**2 + 5*w - 2. Let j be h(b). Suppose j*i + 2*f + 116 = 444, 0 = -3*i - 5*f + 260. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9*-1*(916110\/(-39))\/(-87).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-30))\/((-5)\/15). Let j(a) be the first derivative of -1\/3*a**3 - 2 + z*a**5 + 0*a - 1\/4*a**4 + 1\/2*a**2. What is t in j(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250481 and 5852.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u - 22*u - 110*u - 1 + 35*u - 137*u in the form n + k*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 3*q - v, -v = 4*q - 21. Let d(l) = 22*l + 6. Let w(a) = 21*a + 5. Let t(g) = -6*d(g) + 7*w(g). Is t(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from {l: 1, z: 1, w: 2, f: 4, x: 4, a: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*v + 113 - 101*v - 480*v + 46*v wrt v.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47\/4 of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*(-27)\/(-90)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255485 = -119*n - 625*n + 330629 for n.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1066*j + 5333. Determine g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3166425447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6540 - 4*(-5)\/(-10). Suppose -i + 18199 = 13*d. List the prime factors of d.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - m - 4. Let a(p) = -3*p**2 - p - 5. Let t = 55 - 87. Let h = -37 - t. Give h*d(w) + 4*a(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - l. Let t(n) = 3*n. Let q = 17 + -20. Calculate q*i(j) - t(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(98) - (4 + sqrt(98))))**2 + 1 + -3 + sqrt(4)\/sqrt(2) + -5.\nAnswer: -23 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q. Let x(f) = 3*f - 6. Let i(o) = 4*o - 4. Let t(j) = 3*i(j) - 2*x(j). What is t(v(g))?\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4094 - -9194. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**30*c\/((c**(-1)\/c)\/c)*c*c*(c*c**(-4\/5))\/c assuming c is positive.\nAnswer: c**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1069, -1978, -2885, -3796, -4717, -5654, -6613?\n\"Answer: -b**3 + 7*b**2 - 923*b - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 110000010011000011111101011?\nAnswer: 110000010011000011111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 855776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbl when four letters picked without replacement from {d: 3, l: 1, n: 1, h: 2, b: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:17 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and 161\/198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5604 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2200 and 92932675?\nAnswer: 743461400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21 = -3*f, 65*f - 11 = 64*f + 3*v. Solve 5*z - 5*j - 5 = 0, -2*z + 3*j - 5 = -f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0 - 1\/8*c**4 - 37*c**2 + 0*c - 41\/6*c**3. Let l be u(-15). Solve -2*w - 3 = l*h + w, -w = -4*h + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425996, 425960, 425924, 425888, 425852?\nAnswer: 425816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n**3 + n**3 - 6*n**3)*(38 + 18 - 18) + 2*n**3 - 6 - 4*n**3 + 4)*(2 + n - 2).\nAnswer: -40*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q + 0*q + 10 - 2*q - 2*q. Let g be w(-6). Solve 0 = -2*a - 0 - g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 62*m**2 - 5. Let z(f) = -177*f**2 - 2*f + 16. Let s(y) = -17*g(y) - 6*z(y). Give s(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:20 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 9*t**5\/5 + t**3\/3 - 7. Find the third derivative of d(x) wrt x.\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92746420 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3)**(-11\/3)*(q\/(q*q**3\/q*q))**(-15\/4))**27 assuming q is positive.\nAnswer: q**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h = 47*h + 63*h - 90432. What is the highest common factor of 468 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 2*i**4 + i**4 + (2*i**3 + 3*i - 3*i)*(-3*i + 0*i + i) + 6*i**4 - 2*i**3 + 2*i**3 + (2 - 1 + 7)*(i**4 + 3*i**3 - 3*i**3).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - a + 29 = 0, 4*z - 2*a = 3 + 23. What is the remainder when 94 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)\/h*h)**(-28\/3)*h**(-3\/5)*h\/h**(-3) assuming h is positive.\nAnswer: h**(943\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.2 + 17. Sort -2\/9, 8, o in decreasing order.\nAnswer: 8, o, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29182*r - 244 = 29304*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4.6. Let n = 11.8 + -11.2. Let t = n + g. What is the third smallest value in t, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*h = 656*h + 671*h - 1050 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 44 = -164 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(84)*1)\/(sqrt(192)\/sqrt(4) + sqrt(12)) - ((sqrt(189)\/sqrt(3)*4)\/sqrt(9) - (sqrt(7) + (sqrt(7) + sqrt(28) + -4)**2)*-2).\nAnswer: -158 + 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 5. Let r(s) = -s**2 - 4*s. Let v(q) = -q. Let h(x) = -r(x) + 4*v(x). Determine y(h(z)).\nAnswer: z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 16, 0 = 3*l + l + 4*z + 4. Solve 3*o + 2*o - 5*f - 35 = 0, -l*f + 3 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -445*d**2 + 17*d**4 + 445*d**2 + (0 + 0 - d**2)*(-5 + 5 + d**2).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -31.37. What is l rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 = 4*d - 2*g + 673, 2*d - 3 - 1 = 5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 61*z + 15 = 0. Which is the nearest to 0.1? (a) -1 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 2*b**3)*(-1 + 2 + 0)*(3*b**2 + 0 + 0) - b**5 + 1 - 1 + (-2*b**3 + b**3 + 0*b**3)*(-3*b**2 - 2*b**2 + 3*b**2) + 4*b**5 + 0*b**5 - 2*b**5.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 114*n**2 + 72*n**2 - 225*n**2. Let f(b) be the third derivative of -b**5\/30 + 2*b**2. Determine a(f(u)).\nAnswer: -156*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 671\/88 + -8 + (-4)\/(-32)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -5\/2 (c) -78 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 501\/1307477 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102656849 and -3819.\nAnswer: 102653030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 12522 - 12665 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -522404420 (base 6) to base 12\nAnswer: -3060710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 215 = 20*t, 0 = 9*y - 13*y + 5*t - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j\/(j**(-5)*j*j)))**1 assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702946?\nAnswer: 2, 7, 17377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -35*h - 39. Let i(x) = -2. Let o(t) = -t**3 + 10*t**2 + 3. Let k be o(10). Let m(d) = k*i(d) + b(d). What is the derivative of m(j) wrt j?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*((sqrt(475) - sqrt(475)*1) + sqrt(475)))**2*5 - (-4 + 2 + sqrt(684) + (sqrt(684) + 1)*4)**2).\nAnswer: -240*sqrt(19) + 41792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 3, 3\/4, 0.02, -21?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262359570*w**2 + 248859494*w?\nAnswer: -524719140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 137*x**2 + x - 120. Let d be b(-10). Round d to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 57*m + 8208. Let t be f(-144). Solve t = 45*k + 342 + 18 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650389603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012231 (base 4) in base 14?\nAnswer: -31db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:08 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (221\/442)\/((-2)\/84)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86698427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/8 - 51*j\/8 - 6.\nAnswer: -3*(j + 1)*(j + 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 + -27 + (1 - -6). Suppose 5*k = 2*r + 24239, -v*k + 3759 = r - 10780. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in -3\/4, 1942, 1\/8, 3, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3824180612?\nAnswer: 2, 7, 199, 686321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.5. Let j = z - -0.2. Let o = -16 + 13. What is the second biggest value in j, o, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 40 = -3*x, x - 2*p - 2*p + 20 = 0. Let m be (-20)\/(-9) - x\/(-54). Suppose m*l + l - 213 = 0. What is the remainder when l is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 376*t**3 + 16500*t**2 - 110968*t + 94090.\nAnswer: 2*(t - 5)*(t - 1)*(t + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q**4 - 39058*q**3 + 108294*q**2\/5 - 19862*q\/5 + 1204\/5 = 0. What is q?\nAnswer: -301, 2\/13, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000088664065 to 6 dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.69 + 35.59. Let m = -42 + c. Round m to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 2. Suppose q = 4*a + 4*q - 21, -2*a + 5*q - 9 = 0. Let y be x(a). Let u be 2*(6\/y + -3). Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a30 + -127109?\nAnswer: -127b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**4 + p**3 - 2*p**2 - p + 1. Let u(a) = 39*a**4 + 5*a**3 - 12*a + 3. Let k(o) = u(o) - 5*w(o). What is the second derivative of k(i) wrt i?\nAnswer: 348*i**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 309 - 599. Suppose -4*h - 45 + 33 = 0, 0 = -4*p - h - 483. Let t = p - r. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 + 159 = -2*n, 0 = -3*v - 7*n - 43 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*k**4 + 301*k**4 + 887*k**4 + (4*k + 0*k - 2*k)*(-k**3 - k**2 + k**2) - 2*k**4 + 1 - 1.\nAnswer: 1090*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 1\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/17 - 14*d**4\/17 - 148*d**3\/17 - 116*d**2\/17 + 146*d\/17 + 130\/17 = 0.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*(-5 + sqrt(832)*-2 + 3))**2 - (2 + (-1*1*sqrt(832) - (5 + -1 + sqrt(832) + sqrt(832))))) + 2.\nAnswer: 88*sqrt(13) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 12*s - 23*s + 375 = 13*s for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -139. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8858, 3, -4, -2, -53 in descending order.\nAnswer: 3, -2, -4, -53, -8858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/78 + 15*u**3\/13 + 46*u**2\/13 - 24*u + 2. Determine v so that h(v) = 0.\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4\/89, 5, 26?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7*g + 34 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-33))\/(1\/(-10)*2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 384\/15 - (-2)\/5. What is the units digit of (z\/(-6))\/(1\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (154*p - 56*p - 53*p - 55*p + 17)*(0 - 2 - 3) as c*p + h and give h.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191b (base 13) to base 14.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/21270?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11258 + -6306. Let k(h) = -3905*h - 2. Let v be k(-10). Let x = c + v. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + q = -4, -r + 5*q = 9*q - 10. What is the highest common factor of 10 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000586912 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 103\/5 (b) -3 (c) 0.1 (d) -0.1 (e) 0.02 (f) -1 (g) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24694*p**3*y - 13*p**2*y - 72*p*y wrt p.\nAnswer: 148164*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/60 + p**4\/3 - p**3 + p**2. Calculate the lowest common multiple of 5 and l(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -10 + (2 - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 8 = 2*d + 17, -5*s = -5*d + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, r: 1, p: 6, y: 6, v: 1, h: 1}. Give prob of sequence prpy.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20403376 (base 8) to base 2.\nAnswer: 10000100000011011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 + 1 = 0. Let n(p) = -p + 4. Let f be n(4). Suppose -2*v - 5*b + 14 = -f*b, v = 4*b + 20. What is the remainder when v is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 120*s - 421. Let d be l(-27). Let p = 2 + 2. Sort 0, d, p in descending order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(243) + 4.\nAnswer: 4 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 4*x**2 + 7*x - 79. Suppose -2*u = -96 + 84. List the prime factors of w(u).\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 14. Suppose -3*p + 3*x + 29 = -1, 5*p - d = -5*x. Suppose p*g - 3*g = -5*r + 691, -1127 = -5*g + 4*r. List the prime factors of g.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 5041883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -22. Suppose 3*s = -g - 5. Let o = -1 - 2. Put s, 3, o in descending order.\nAnswer: 3, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5353+60\nAnswer: -5293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13041\/(-90))\/21 + 3\/(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21406 or -535139\/25?\nAnswer: -535139\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzzptzta. What is prob of sequence tz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 330 = 2*x + 308, 3*c - 2*x - 22 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1078969 + -1078825.9818. Let y = 463 - 320. Let q = p - y. Round q to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 177092, 354182, 531282, 708392, 885512?\n\"Answer: 5*w**2 + 177075*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 6. Let j(w) = -2*w + 5. Let o be (-48)\/112 + (-92)\/14. Calculate o*j(t) + 6*g(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(1470))\/(sqrt(60)\/sqrt(90)).\nAnswer: -378*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -19 - (164 + -160)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -7*l + 8\/3*l**3 + 0*l**2 - 7. Differentiate b(u) wrt u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 192, 289, 386, 483?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:10 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 - k + 54. Let g be x(-6). Suppose -4*l = -5*u - 575, -u + 5*u = 4*l - 464. Let q = g - u. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160.0000448 + 160. Round j to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*c - 18, -8*m = -5*c - 4*m + 27. Let v(t) = t + 11. Let l be v(-8). Solve -c*r + 4*r = -l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 246 + 82. Suppose 0 = -5*x - 5*j + 310, 5*x - j + 0*j - m = 0. Suppose -2139 = -4*f + x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*f**2 + 86*f**2 + 3*f**3 - 3*f**4 + 26 - f - 28 as v*f**4 + h*f + x*f**3 + c*f**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33655000 divided by 5300.\nAnswer: -6350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22538 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 + (-112)\/18. Let o(l) = l + 7. What is the units digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78943 and 14101526?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14472, -16801, -20674, -26085, -33028, -41497?\nAnswer: -51486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:33 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -253738449*m**2*s*t**2 - 2*m**2*s - m**2 - 212669*s - 12 wrt t?\nAnswer: -507476898*m**2*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) + 1 - 1. Suppose -1 + 12 = -x*j - 4*o, -o = 4*j - 7. Suppose -2*q - 105 = -5*d - 7*q, -j*d = -3*q - 33. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738310 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 83 + 109. What is the lowest common multiple of h and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2. Let b(z) be the third derivative of -83*z**6\/72 - z**4\/12 + 23*z**3\/2 - 248*z**2. Let v(a) be the first derivative of b(a). Determine t(v(f)).\nAnswer: 172225*f**4 + 1660*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -69, -173, -307, -465, -641, -829, -1023?\n\"Answer: q**3 - 24*q**2 - 3*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:09 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (381\/5715)\/(2\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**4 + 130*v**3 + 1200*v**2 + 4480*v + 5120 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*c**4*s + 2*c**4 + 4*c**3*s - 4*c + 3*s + 6 wrt c?\nAnswer: 168*c**2*s + 24*c**2 + 24*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 5.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - sqrt(384)*-1) + sqrt(384) + sqrt(384) - sqrt(384))\/(1*sqrt(2)*1) - (sqrt(30)\/(sqrt(40)\/sqrt(4)) + -1 + (1 + sqrt(3))**2).\nAnswer: -3 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {d: 1, u: 1, f: 1, l: 1, z: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-12))\/(1\/8). Solve -3*a = -1 - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/7790337 + -426170385491\/366145839. Let y = -1164 - q. Calculate the common denominator of (-4)\/(-10) - (-494)\/(-60) and y.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47, 4, -0.5, -0.3 in decreasing order.\nAnswer: 4, -0.3, -0.47, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*o**3 + 21094*o**2 - 5622*o + 212 = 0. Calculate o.\nAnswer: 1\/22, 2\/9, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0cd (base 16) to base 4.\nAnswer: 122003031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 9) + 8\/10*50\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7049410.8 and 0.6?\nAnswer: 4229646.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*1\/14)\/(20\/140). Let k(s) = 6 - f - 1 - 3*s + 713*s**2 + 0. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 202*y**3 - 1 - 237*y**3 + 57*y**3 as n*y**3 + i*y**2 + f + d*y and give n.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*a - 5*l, 0 = 3*a - l - 24 - 38. Calculate the remainder when 1397 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000331874 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*p + 2*o + 57, 0 = -2*p - 2*o + 14. Let f(m) be the first derivative of m**3\/3 - 11*m**2\/2 + m + 18. Determine f(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k - 3. Let s(p) be the first derivative of -29*p**2\/2 - 5*p - 410. What is -5*m(v) + 3*s(v)?\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 17*h = -1365. Let w be (6\/8 - h\/(-28)) + -367. Do w and -370 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38067 less than -38066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2 - 1065*n - 16784 = 0?\nAnswer: -1049, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + 6. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*g = 46, -w - 2*g + 53 = 29 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(128))*-5 - sqrt(8))\/(sqrt(8)\/sqrt(72)) + (sqrt(144)\/sqrt(3) - sqrt(12))\/(sqrt(6) - (sqrt(72)\/sqrt(3) + sqrt(6))).\nAnswer: 167*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/6 + 13*y**3\/3 + 19*y. Let g be t(-13). Solve 2*k + k + 9 = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1222 - -337. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21133001 (base 4) in base 15?\nAnswer: -b79e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5684, 5676, 5668, 5660?\n\"Answer: -8*a + 5692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/34 - 1791\/(-51). What is the first derivative of 2 + w*c - 5*c + 21 + 7 + 13*c wrt c?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, -12, 22, -2\/9, 5, 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*-1*sqrt(140) + sqrt(140))\/sqrt(10))\/(sqrt(7) - 1*sqrt(343) - (sqrt(7) - (sqrt(63)\/sqrt(3))\/sqrt(3))) + 3 + 4)*6.\nAnswer: -2*sqrt(2) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1465279258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + -69?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 137\/6, 0.052, -71, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.02, -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/30293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2912 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*p + 20. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 + 2*x - 5*x**3 + 11 + 6*x**3 - 27. Let g be v(9). Let l(j) = 113*j**3 + j**2 + 5 + j + 0*j - 2*j**g - 112*j**3. Calculate l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80504955?\nAnswer: 3, 5, 691, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -430 + 248. Let k = 187 + v. Solve 0 = -2*b - 1 - k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-30)*2*1608945\/(-8697)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1957658 + 1957658 + f. Let d(h) = 11*h**2 + 13*h**2 - 1 - 7*h**2. Give d(b(n)).\nAnswer: 17*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 3 - 61 = 145 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 74 = 3*f - 3*q, 0 = 5*q - 15. Let y be 1 - -1*191*3. What is the units digit of (-26)\/169 + y\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from {q: 3, u: 4, h: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31180 is divided by 265.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 + 4*s - 5. Suppose -31 = 27*h + 131. Give w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82822.4 litres?\nAnswer: 82822400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 p when three letters picked without replacement from vmpmmmvuvviuuvu.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 42*u**2 - 6*u - 18. Give h(-4).\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3067 + 4742. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 8*y - 6. Let w(x) = -1 - 4 - 12*x**2 + 23*x**2 - 9*x**2 + 7*x. What is -3*t(m) + 4*w(m)?\nAnswer: 2*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from kdqqqddk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -23270*u + 23275*u + 6, t - 5*u = -2 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.58 and 3140.\nAnswer: -55201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*k**4 - 4*h*k - 12463030*h - 17*k**2 + 1159*k wrt k?\nAnswer: -4*h*k**3 - 4*h - 34*k + 1159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284128847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 18*a - 19. Let s be p(-17). Let d be 0 - (s + 8\/(-4)). Suppose -y - 12 = -4*y. Solve -5*n + d*g = -11, -17 = y*g - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -382\/407 + 28\/37. What is the closest to 8 in -2\/7, i, 0.1, -0.22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(57\/95)\/((-16)\/55)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0.5, 0.16, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -64*b**2 - 2*b - 1. Let p be o(-1). Let k = p - -96. Let m = 46 - k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 73. Let l(j) = -j**3 + j**2 + j - 7. Let m be l(-2). Suppose -47 = 3*t - 2*n, -m*t - n = -0*t + 62. Is d >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211\/52 - 17\/13. What is the second biggest value in 3, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 194670 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5698 and 14290.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 151, 231, 313?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -484.49 - -2.49. Let w = -483 - j. Sort -5, -0.007, 0.3, w.\nAnswer: -5, w, -0.007, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.7, -45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -208142.19 to the nearest 100.\nAnswer: -208100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.536 and -3?\nAnswer: 1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -473, 0, -15, 0.3.\nAnswer: -473, -15, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -103. Let b be (2 + 6\/(-4))*0. Sort a, 3, b in descending order.\nAnswer: 3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3375688 and 72952?\nAnswer: 37132568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/21, 2\/15, -2\/7, -4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/36, 2\/17, -0.3, 5, -9, 2?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 + 11*i + 25*i - 8*i**2 + 2*i**2 - 8.\nAnswer: -4*(i - 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*1\/(30\/(-12)). Suppose o*d + 337 = 5*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 126401 in descending order.\nAnswer: 126401, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f + 26 = 84*f - 2*j, -2*j - 8 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*x - 4*x + 28 = 0, 8 = -4*x. Suppose 11*a - 676 = -2*a. Calculate the remainder when a is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3699*m**3 + 3703*m**3 + 3582*m**3 - 10986*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -30348.177 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 11730*w - 5. Let f(b) = -b + 439. What is f(t(y))?\nAnswer: 2*y**2 - 11730*y + 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3569579 and 24\/299.\nAnswer: 82100317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22110023111 - 3?\nAnswer: -22110023120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*k**2 - 471*k.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12 + 4*n**2 - n**2 + 7*n - 5. What is the units digit of w(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -535841, -1071407, -1606973, -2142539, -2678105?\n\"Answer: -535566*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -26?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 389, 778, 1173, 1574, 1981?\n\"Answer: 3*i**2 + 380*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 386.04 + -439. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. Let o = d - -5. Let t = 1 - o. What is the second smallest value in 4, 3\/13, t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = g - 15, -3*x = -x - 4*g + 10. Suppose -10*l = -x*l - 10. Solve 4*i - l = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnz when three letters picked without replacement from {n: 6, x: 5, z: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c - 84 + 798. What is the least common multiple of c and 33?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 6. Let o(r) = 4*r - 2. Let a be o(2). What is the units digit of c*(-3)\/a*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*j - 143*j + 293*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 831071\/9 - 92494. Let m = q + 146. Find the common denominator of m and 22\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -91515*t. Let o(n) = -57*n. What is d(o(f))?\nAnswer: 5216355*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**3 - 46 + 2*f**3 + 13 + 19 + 16 + 43*f**2 wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075684 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8300\/1953 - -10\/279. Let t = -151\/14 + z. Find the common denominator of t and 5\/((-1210)\/503) - -2.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -x + 39. Let g = 278 - x. Suppose -67*t = -69*t + 54. What is the highest common divisor of t and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21175 and 0.786.\nAnswer: -16643.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*-79*14204\/(-74102).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 8*l**2 - 8*l - 4. Let v be c(-7). Let w be v - (1 - 0)*-4. Let t = 1 + w. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28671, -57342, -86013?\n\"Answer: -28671*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222112122 - 12?\nAnswer: 22222112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**5 - 26*r**4 - 142*r**3 - 33*r**2 - r - 13 wrt r.\nAnswer: 420*r**2 - 624*r - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 - 12*m - 16. Calculate n(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*u - 5*w - 100, 24*u - 28*u - 26 = -2*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2616809\/4025 - -988\/575. Let g = -655 + h. Calculate the common denominator of ((-216)\/(-28))\/((-12)\/56) and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -11*u. Does u = -2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -130, -198, -266, -334?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - 1. Factor -f + 2*y + y**2 - 3*y**2 + 5*y - 3*y.\nAnswer: -2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7))**(14\/3)\/(b**(-6\/11)\/b*((b*b**(-17))\/b)\/b) assuming b is positive.\nAnswer: b**(281\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*u + 17*u - 1 + 5*u)*(-4*u - 3*u + 5*u) + (7 - 3 - 2)*(-16*u**2 + 14*u**2 + 42*u**2) + u**2 - 2*u**2 + 2*u**2 to i*u**2 + t*u + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/30)\/(-3))\/((-14)\/(-35)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*a = -b + 1, a = -3*b + 15. What is the derivative of t**4 + 10*t**b - 6*t**4 + 3 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) + (243\/(-45))\/1. Let l(k) = 9*k - 6. Let z(v) = 1. What is i*z(f) - l(f)?\nAnswer: -9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let a(x) = 4*x. Let g(v) = -3*a(v) - 16*n(v). Let s = -103 + 108. Let y(f) = -f + 503 + s*f - 503. Calculate y(g(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -2)\/(61 + -60). Solve 2*b + s*f = 16, -b + 4*b - 5*f + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:29 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 396 = -8*n + 18*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2317353 (base 8) to base 6\nAnswer: -21303003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 45286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -529 - -712a0?\nAnswer: 70c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osh when three letters picked without replacement from {o: 5, s: 4, h: 1, n: 3, e: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 - 8 = 0. Suppose -p - p = -w. Suppose -2*h + 13 - p = 0. Sort -2\/11, -5, h in decreasing order.\nAnswer: h, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b + 11*b - 41*b - 3*b.\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6647 and 50048.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16279 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(128)*-2 + 0 - (-4 + -1 + sqrt(128) + sqrt(128)))**2.\nAnswer: -320*sqrt(2) + 2070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(65 + 74 - 60*d - 137)*(-1 - 1 - 2 + (-3 + 4 + 0)*(-2 + 1 - 3)) as y + z*d and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1168 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/5)\/((-4)\/20). Suppose -5*v = -0*v + 3*g + k, g = -3*v - 5. List the prime factors of ((-4)\/(8\/14))\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7155745943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.24, 3\/5, 2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 2*j**2 + 2*j**2 + 0*j + 0*j + (-3 + 3 + 2*j**2)*(3 - 1 - 4) + 36*j**2 - 21*j**2 - 2*j**2 in the form b*j + x + c*j**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029091 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -1. Let c = -46 - i. Solve c = 3*s - 2*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 17*l - 10530 = 0. Let o = -4042\/5 - l. Suppose -o - 34\/5*f**2 - 2*f**3 - 32\/5*f = 0. What is f?\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from kswkwqqoqw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 50, 48, 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 775.2715 millennia?\nAnswer: 77527.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -21 - 2*b + 52 - 11 - 15. Let w be j(0). Solve w*o + 20 = -0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4\/3, -6\/31 in descending order.\nAnswer: 2\/11, -6\/31, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 2 - (-1189 - 5). Suppose -5*b - 464 = -y. Let a = -92 + b. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 4*p + 4*p)*(-105*p + 184*p + 335*p).\nAnswer: 1242*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-103)\/1236)\/((1\/10)\/1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515578081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/115 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 - 83*g - 26. Let b be t(17). Suppose -v + 3*j + 438 = j, -v - 4*j + 450 = 0. Suppose b*l - 846 = v. What are the prime factors of l?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29163073 divided by 3?\nAnswer: -29163073\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-35)*(n*n*n**0)\/n*n\/(n**(-1\/4)\/n))**(-1\/12) assuming n is positive.\nAnswer: n**(-51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (573 - 1129 + 558 - 2585*z)*(-4 + 0 + 3) to k*z + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:58 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0143458877 to four decimal places.\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -9. Suppose -d + v = -3*j, -3*d - 2*j + 2 = -0*d. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyzxydzzzzazyzd. Give prob of picking 1 a, 1 d, and 1 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457403582.\nAnswer: 2, 9749, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2709 or 2694?\nAnswer: 2709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 1. Let o(w) = -w - 1. Let g(h) = 2*o(h) - p(h). Let m be g(2). Let s(q) = 2. Let f(z) = -z - 6. Let b(u) = -f(u) - 4*s(u). Give b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*c - 1467, -9*c = -8*c + d - 366. Let i = c - 307. What is the greatest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/3 + -5\/6. Suppose x - 2 = d - 6, 2*d - 11 = 5*x. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let n(g) be the second derivative of g**4\/4 + 2*g**2 + 14*g. Give q(n(i)).\nAnswer: -3*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2 - 52*d - 8. Let y be g(6). Let v(j) = -2*j + 1. Let t be v(3). Sort t, 10, y in decreasing order.\nAnswer: 10, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 + 13614*j**2\/5 - 1038996*j\/5 + 3953672.\nAnswer: (j - 38)**2*(j + 13690)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12103 + 36313\/3. Let i = -464\/3 + 156. Factor 2\/3*n - 2\/3*n**3 + z*n**2 - i.\nAnswer: -2*(n - 2)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -2, -1\/34, -5, 7\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 56011?\nAnswer: -784154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**3 - 395*h**2 + 4*h - 45. Let n(w) = -8*w**3 + 395*w**2 - 5*w + 55. Determine 4*n(m) + 5*s(m).\nAnswer: -2*m**3 - 395*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 27. Let c(u) = u**3 + 8*u**2 + 5*u - 9. Let g be 10\/(-4)*2 + -2. What is the remainder when v is divided by c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -35*h + 8 - 34*h - 30*h - 38*h + 140*h - h**2. What is r(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*q + 2*q**2 - 30*q)*(1 - 4 + 0)*(0*q + 2*q - q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 265818672 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**2 - 124*o + 248. What is f(2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 3, -5, -5956, 4 in descending order.\nAnswer: 7, 4, 3, 2, -5, -5956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*s + 3*s. Let x = s - -18. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d - v = 29*d, -4*v + 12 = 0. Let c = 11 + -11. Put c, -4, d, -27 in decreasing order.\nAnswer: d, c, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = -0*g. Let x = 369 + -329. What is the remainder when x is divided by g - (3 + -3 + -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, h: 4, x: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 greater than -8406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/218 and -85\/103863048.\nAnswer: 103863048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 129. Calculate the remainder when i is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 4*b - 4*b - 5*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 3*d**4\/4 - 13*d**3\/6 - 1923*d**2 - 3*d - 2. Give x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**3. Let n(u) = -33*u**3. Suppose 0 = -10*f + 2*f + 88. What is f*l(g) + 4*n(g)?\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 6246564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327062979?\nAnswer: 3, 19, 67, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let f(c) = -1. Let k(m) = -m**2 - 7*m - 7. Let p be k(-6). Let x = 2 - p. Suppose -x*q + 2 + 7 = 0. Calculate q*f(j) - g(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 56*u - 16 = 60*u, 20 = 3*b - 5*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {l: 1, v: 2, h: 1, x: 2, w: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137.7 + 148. Let u = c - 4. Let q = u + -3.3. What is the nearest to -0.1 in 3\/4, q, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, -21\/4, -18704 in descending order.\nAnswer: -0.4, -2, -21\/4, -18704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -63 (b) -0.1 (c) -2\/7 (d) -0.111 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 + 9?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14518\/170)\/(-61))\/((-4)\/10).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j**2 + 6*j + 7. What is the remainder when u(-2) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332 (base 10) to base 12\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.033254 to 2 dps.\nAnswer: -38.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*l*n**2 + 13155*l*n - 10*n**2 - 4*n wrt n?\nAnswer: 80*l - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 566*j**4 - 1339*j**2.\nAnswer: 13584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 479*t - 19. Suppose 0 = -2*m + v + 11, 5*m + 0*v + 2*v = 50. Suppose 0 = -3*c + c + m. Is u(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/5)*z**(-12))\/(z\/(z\/(z**1\/z))*z*z**(8\/7)) assuming z is positive.\nAnswer: z**(-446\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - x + x + 4*x + 9 - 4 as p*x + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 5:54 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 363796151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -2 - (0 - 0). Let n = 13 - 13.7. Let q = n + 0.9. What is the closest to w in -0.3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(3\/14))\/k)\/k**(-17))\/(k**(2\/9))**(-26) assuming k is positive.\nAnswer: k**(2897\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(330\/780))\/((-4)\/1)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4 = 2*p, -21*p + 0*p = -19*p + 2*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*z - 4*c, -243 + 233 = -4*z + 2*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxsqxspzxzzssj. Give prob of sequence zqs.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10570306277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-538)\/(-77) - 7). What is the third derivative of 15*m**2 + 14*m**6 - m**2 - m**5 - 77*m**4 + o*m**4 wrt m?\nAnswer: 1680*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 + 4*m - 4*m + (-27*m**4 + 12*m**4 - 9*m**4)*(2*m - 3*m + 3*m - 4 + m + 4 + (m + 4*m - 3*m)*(-6 + 2 + 3) + m + m - 4*m).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -430, -433, -436, -439, -442, -445?\n\"Answer: -3*j - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233519\/(-3692)*(-24)\/69.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 6*(0 + sqrt(1900)) + -4 + 0)**2 - -3*2*(sqrt(1900) - (-2 + -2*sqrt(1900))).\nAnswer: -380*sqrt(19) + 93128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 3. Let f be s(3). Let o be (18\/f)\/(4\/10). Solve 0 = o*y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 5. Let n be b(-7). Suppose 0 = -3*g + 2*f + 29, -g - f - 5 = n*f. Solve 2*u - 1 = g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p + 18. Calculate y(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -27052?\nAnswer: -9197.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3984*s**3 + 3*s - 3981*s**3 + 4 + s + s**2. Let n(j) = -8*j**3 - 3*j**2 - 11*j - 11. Give 11*a(x) + 4*n(x).\nAnswer: x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -5*i + 4*i + 1168. Calculate the lowest common multiple of 1460 and i.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 398\/5. Which is the nearest to -1? (a) -3 (b) 0.01 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*o - 2 - 1, -3*k + 8 = -4*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -734*y**3 + 23*y**2 - 1?\nAnswer: -4404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -8 - 6. Suppose i*b + 2*b = 126. Which is greater: b or 13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:33 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 363 and 159?\nAnswer: 19239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5186251594?\nAnswer: 2, 37, 70084481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + b**2 - 22*b - 1. Let h be n(-11). Let q = h - -599. What is q rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 8*p - 4*n, -22814*n = 2*p - 22812*n - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6316\/19, 2\/5, 1, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1063630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 956 + -954. Let x(d) = 5 - 32*d + 0*d**2 + q + 37*d + d**2. What is x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 5) in base 10?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f + 25. Suppose -d = 2*d - f. Suppose -d*x - 15 = 5*z - 10*z, 0 = -4*x - 3*z + 9. Sort x, 2, -2 in increasing order.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 325\/4158?\nAnswer: 325\/4158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 plus 4.58?\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - 9. What are the prime factors of 1054\/10 - 30\/r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694907293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a - 24*a + 729 = 179*a. Let s = 2 + 2. Suppose 2*n - 4 = 4*k, -s*n + 5*k + 11 = -0*k. Solve 0 = 3*r - a*d + 2 + n, 0 = 5*r - 2*d + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.19989 tonnes to kilograms.\nAnswer: 95199.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*i**4\/3 + 45*i**3 + 17*i**2 + 5*i\/3.\nAnswer: i*(i + 5)*(5*i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25\/15)\/((-105)\/(-18) - 5). Let c be 1612\/(-60) + (-4)\/30. Let n = c + 30. Put 1, i, n in decreasing order.\nAnswer: n, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:38 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 + 2 = 0. Let f(u) = 2*u**3 + 23*u**2 - 14*u - 30. Let o be f(-12). Which is the nearest to -2\/13? (a) o (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 17 - 2 = 0. Let x be 44 - 42 - (v + -1 + 1). Solve 3*m - 15 = o, -2*o + x*m - 15 = -0*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2*y + 8, -2*g - 2*y - 4 = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i*r**3*x**3 - i*r**2*x**3 + 2*r**3*x**3 - 79*r**3*x**2 wrt i?\nAnswer: 3*r**3*x**3 - r**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2\/7 - 858*i\/7 - 3384\/7 = 0. What is i?\nAnswer: -282, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1793196 + -710810592?\nAnswer: -712603788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21879 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109865854 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6455106 (base 7) to base 8\nAnswer: -3000721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4410, 23543, 55430, 100071, 157466, 227615?\n\"Answer: 6377*s**2 + 2*s - 1969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 7:50 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and (44\/7)\/(22\/77)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 - 3)) + -3 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1779*t + 1779*t - 31*t**2 + (-2*t - t + t)*(1 - 1 - t) + 5*t**2 + 6*t**2 + t**2 as p*t + m*t**2 + u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -942 greater than or equal to -941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 + 9*w - 10. Let o be f(7). Let b be 2 + 2 + (-1 - -1). Find the first derivative of -o + 3 - 2*n + b*n wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m. Let p(o) = 199*o - 2. Determine p(j(c)).\nAnswer: 1990*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 1, -5 = j + 9*m - 5*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18502 divided by -1?\nAnswer: 18502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11262455 (base 7) in base 15?\nAnswer: 14858e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 3 - 1 + 7 - 2*z - 2*z. What is the remainder when 16 is divided by c(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*z + 78, z - 177 = 2*g - 0*z. Let q = -66 - g. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 30. Calculate the smallest common multiple of 8 and n(-12).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - g + 1218, -401*g = -404*g + 9. Solve 21 = h*v - 240*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266.906 + 266. Let q = 0.25 + o. Round q to 2 dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 6*z - 6. Let q be ((-18)\/10)\/(30\/(-100)). Let a(h) = 3*h**2 - 7*h - 7. Calculate q*b(n) - 5*a(n).\nAnswer: 3*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3044, -1, 1\/6, -3, -139?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 9:38 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 7 - (53 - 44)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 9.11. Let u be -8 - (-294)\/35 - (-2)\/(-30). What is the second smallest value in 5, z, -2\/5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 12*r**5 - 2*r**5 + (4*r**5 - 3*r**5 - 2*r**5)*(4 - 1 - 1) + (-2*r + r + 3*r)*(2*r**4 - 4 + 4).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 0.3, 4, 0.1, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -117. Calculate the remainder when 78 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 22*o = 16. Suppose 5*q - g = -2*g + 149, -4*q + 96 = -5*g. Calculate the remainder when q is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/144 and -221\/82530?\nAnswer: 660240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29351809 divided by -1?\nAnswer: -29351809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-5)\/(-7)) - (-3 - -1). Put 5, b, 3 in ascending order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 6:31 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 415.\nAnswer: 7\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 13*d - 2. Let j be a(14). Suppose 36 = -0*k + j*k. Suppose k*f - 27 = -0*f + 3*w, 5*f - w - 33 = 0. Solve 0*l - 2*l - f = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 84. Let z(x) = -2*x - 17. Calculate 5*n(k) + 24*z(k).\nAnswer: -3*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 2790\nAnswer: 2\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -5*x + 130. Suppose 0 = -5*o + 2*o - 3*d + 1116, -5*d - 779 = -x*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjf when three letters picked without replacement from ffxjxxxjj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/11)\/f**9*f**19\/f**(6\/11) assuming f is positive.\nAnswer: f**(102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14466, 3, 5, -3 in descending order.\nAnswer: 14466, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329583?\nAnswer: 3, 61, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364753591.\nAnswer: 103, 3541297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdhhhhdhdhdd. Give prob of picking 2 h and 1 d.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6074038 + 6074038 + 268*k**3 - 266*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -0*q. Let b be -8 + (-1 + -2 - -8). Let f = b + q. Does f = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(9\/(-27))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*p, 0 = 2*k - 3*p + p - 1510. Suppose 0 = -9*z + k - 156. Are 65 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 2*f, c - 3*c + 3*f = -4. Find the second derivative of 0*a**c - 3*a**4 + 3*a + a**2 - a**2 wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 1, g: 1, x: 6, d: 2, a: 4}. What is prob of picking 1 g and 3 x?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-135)\/(-276)) + (-6)\/(-27). Let g be ((-38)\/l)\/((-2)\/(-10)). Let h = 74 - g. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 62 - 64. Let o(f) = f**3 + f**2. Let t(k) = -6*k**3 - k**2 - k. Let r(m) = -o(m) - t(m). Give r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-31)\/(-4) - 2\/(-8). Let g be (3 - o)*44\/10. Let r = -7 - g. Solve -2*a - 5 = -r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1669*k - 1. Let a(u) = 252*u**2 - 3. What is d(a(s))?\nAnswer: -420588*s**2 + 5006","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5291.5552042 take away 484?\nAnswer: -5775.5552042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 + 43. Determine r(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1\/4, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 96*o**3 + 936*o**2 - 2656*o + 2304 = 0. Calculate o.\nAnswer: 2, 8, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m = 254*m - 4300 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*i + 46, 4*l + 6*i - i = 91. Let a be ((-21)\/(-14))\/(l\/34). Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -188, 0.2, -2, -0.4, -198 in decreasing order.\nAnswer: 0.2, -0.4, -2, -188, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*l = -141*l - 17260. Let r = 2576 - l. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0)**(-37)*t**(2\/25)*t*t**1 assuming t is positive.\nAnswer: t**(-873\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 14*p**3 + 8*p**3.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.442927 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5144 - 2*t - 5144.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 7361 and 7313 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) 0.3 (c) 70 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g - 15. Solve -8*t + 11*t - g = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-2 - (50 - 0)). Let t = p - 26. Suppose 0 + t = 2*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/16 of a minute?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13875, -13871, -13867, -13863?\n\"Answer: 4*f - 13879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -88. Suppose g - 40 = 2*o - 4*o, 3*g = 2*o - q. Find the third derivative of -19*a**2 - o*a**6 + 2*a**2 - 6*a**2 wrt a.\nAnswer: -2280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 156. Calculate the remainder when 5 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2318 and 320006?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -64592978*f**2\/3 + 45464*f - 24 = 0?\nAnswer: 6\/5683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3050.915*0.3.\nAnswer: 915.2745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/15 + -2 + 1. Which is the biggest value? (a) n (b) -1\/4 (c) 2 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 - 96 - k + 350 - 3*k in the form v*k + j and give j.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u**4 + 0*u**2 - 33*u + 0*u**2 + 8*u**4 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103345415 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b + 49. Suppose 773*z - 5*y = 778*z + 55, -3*z = -2*y - 7. Calculate m(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7566 + 0.3?\nAnswer: -0.4566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -41001854*g. Let c(q) = -13*q. Give c(f(n)).\nAnswer: 533024102*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07214 and 0.2682.\nAnswer: 0.019347948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(-1 - 15). Let r(a) = 534*a - 2136. Let w be r(4). Solve w = -3*i + g - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.55013 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-77187)\/(-88) - (1\/8)\/1. Suppose -7*g + c = -54. List the prime factors of g.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4366, -8684, -12908, -16990, -20882, -24536, -27904?\n\"Answer: 8*n**3 - n**2 - 4371*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -41.9. Let h = -12 - z. Which is the nearest to h? (a) 0 (b) 4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0866, 5, -1\/39, -0.2, 1, -5 in descending order.\nAnswer: 5, 1, 0.0866, -1\/39, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**4 - n**4 - 8*n**4 + 4*n**4 - 2*n**3 + 7*n to the form x*n**4 + b*n**3 + s + q*n + w*n**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -22. Let t(d) = -2 + 3 + 2*d**a - 4*d + 10. Calculate the least common multiple of 2 and t(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + g + 2*g + 80 + 228.\nAnswer: 3*g + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1, 3, -4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 14*s**2 - 39*s + 23. Give a(17).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f. What is g(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + (-20)\/(-8). Suppose b = 2*b - p. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361056 = -11*u - 14039. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 + 381*o**4 + 834*o**3 - 7812*o**2 + 9288*o = 0 for o.\nAnswer: -6, 0, 2, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 39. Let m be (k\/(-6))\/((-8)\/(-12)). Calculate the highest common divisor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6314 by 82.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 + 3*z + 6. Let s be f(6). Let t = -1 + s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose 0 = s - k. Suppose 2*w + 2*t - 6 = -2, 0 = -2*w - t + s. Round w to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -33, 2, 1 in decreasing order.\nAnswer: 10, 2, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46591 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - 9.98. Which is the nearest to 1? (a) 4\/3 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lls when three letters picked without replacement from {l: 4, t: 2, s: 2, y: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002188 rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-344)\/10)\/(8\/40). Let m = q + 274. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 9*m**2 - 6*m - 22. Let o be q(-9). Suppose -18*k = -14*k - o. Factor -26*v + 16*v - k*v + 61 + v**2 + 20.\nAnswer: (v - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 222. Suppose -7*w = -m - 173. Calculate the remainder when w is divided by (-56)\/(-3) + 2\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {r: 2, a: 3, k: 5, p: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*h - 4801 = -11860 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -23\/5, -78\/133, 0.01 in increasing order.\nAnswer: -23\/5, -78\/133, 0.01, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/8 - 4849*j**2 - 96017165*j\/2 - 18965189150 = 0. What is j?\nAnswer: -19190, -412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/725106179?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 5. Suppose 5*r = -0*n - n + 20, -r = 2*n - z. Suppose -2*h + 2*p = -2*p - 56, 0 = r*h + 3*p - 66. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntmt when four letters picked without replacement from {n: 4, m: 2, t: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62005676.\nAnswer: 2, 139, 111521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u + 0*u**3 + 10*u**2 + 0*u**3 - u**3 - 9*u - 7. Let q be z(11). Let p = 67 - q. What is the highest common factor of 12 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 7)*((a**3 + 4*a**3 - 4*a**3)*(1 - a - 1) - 1 + 1 + 2*a**4 - a + a**4 + a).\nAnswer: 26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10001100?\nAnswer: 10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n + 340 = 4*j, -340 = -5*n + 3*j. Calculate the remainder when n is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -79, -153, -249, -367, -507?\n\"Answer: -11*b**2 - 19*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*-3*sqrt(1573))*-5.\nAnswer: -825*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.057*0.458\nAnswer: 0.026106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71262 and 267066.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t + 10. Is 14 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5754 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 + h**2 - 1. Let s be ((-2)\/(-12))\/((-7)\/42). Calculate t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40458.\nAnswer: 2, 3, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 13*m**2\/2 + 16. Let z(u) = 3*u**2. What is l(z(g))?\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7\/(b\/(b**(2\/5)\/b)) assuming b is positive.\nAnswer: b**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1837273594?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1383, 4, 3, 1, -3, 6.\nAnswer: -1383, -3, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 21 + 0 = 2*g, -5*y - 5*g = 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*t + 1388, -4*t + c + 2800 = -c. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - -29b?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + 4*(sqrt(90)\/(sqrt(9)*2) + sqrt(10) + sqrt(10) + sqrt(100)\/(1*sqrt(10)))\/((sqrt(2) - 4*sqrt(2)*1) + sqrt(2)*2*-4)).\nAnswer: -15 + 70*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - sqrt(360)*4).\nAnswer: -sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/11 and ((-2)\/10)\/(((-144)\/(-339))\/6).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 v when four letters picked without replacement from {j: 2, i: 4, v: 10}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.0478 - -3.2112. Round p to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + -1 - 66\/(-9) and -1 + 4 + (-28)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-6 - 12)) + -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2397.954ml to litres.\nAnswer: 2.397954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*l + 3*c, -2*l - 1 + 15 = 5*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5997.8 rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 258770117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 7 = 2*i. What is the greatest common factor of i and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/5 - 1812*d**3\/5 - 366766*d**2\/5 - 20489244*d\/5 - 20124288\/5 = 0 for d.\nAnswer: -647, -162, -96, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4490742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 550, 1239, 2204?\n\"Answer: 138*d**2 - d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*r**2 + 38*r**2 - r**2)*(-3*r + 5*r - 15 - 3*r).\nAnswer: -68*r**3 - 1020*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + 1 + sqrt(4)\/(1*sqrt(2)) + -2))**2 + -3.\nAnswer: 9 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961.9827 litres to millilitres.\nAnswer: 961982.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwossm. Give prob of sequence owow.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 + 349. Calculate the remainder when s is divided by ((-11)\/22)\/(3 - (-201)\/(-66)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34954 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-6)\/(-3)*-59.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8536?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40364405143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*j - 1556 - 1332 = -717*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 123*y + 233*y - 18 = 108*y, 5*a + 3*y = 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round -1487402.3 to the nearest 1000.\nAnswer: -1487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-3*(-52530)\/47277?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34005407 (base 8) to base 4\nAnswer: -130000230013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**2 + 3940*j + 36. Let z(a) = 2*a**2 - 985*a - 8. Determine -2*t(x) - 9*z(x).\nAnswer: 2*x**2 + 985*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-16)\/(-3) - (-4)\/(-6). Let h = f - -102. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 7*p**5\/60 - p**4\/12 - 11*p**3\/6 - p**2. Let g be -3 + (10 - 5 - -2). List the prime factors of k(g).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 840*x. Let q(t) = 29*t. What is -6*o(c) + 175*q(c)?\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 3598754.\nAnswer: 3598754.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-8) + 4 + -5. Let j = 22.62 + -22.56. Which is the closest to j? (a) 0.5 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (15048\/(-77))\/(-24)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -77, 2.8, 0.01, 5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*i**2 + 18*i**2 - 2*i**2.\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 36. Let u(r) = r**3 + 30*r**2 - 63*r + 53. Calculate the remainder when t is divided by u(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20551733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -12. Let n = x - -37. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2200?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*3\/(-2)*114\/(-171). Is 116\/25 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 231 - 231. Let q(p) be the second derivative of p**6\/120 + p**3\/6 - 9*p. Let b(i) be the second derivative of q(i). What is y(b(h))?\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 582 = 1738. Let k = -145 + n. Which is bigger: k or -8\/31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27176152 to the nearest integer?\nAnswer: 5213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 - 120229661323.\nAnswer: -120229661323.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 338\/130497 or -1?\nAnswer: 338\/130497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(-4*z**2 + 6*z**2 - 18 - 62) + (z + 0 + 0)*(0*z - 4*z + 6*z) to the form q*z + p*z**2 + w and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/990348 and -41\/79557956.\nAnswer: 238673868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1218262, 5, 2 in descending order.\nAnswer: 5, 2, -1218262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2209202*d**2 - 8408*d\/3 + 8\/9 = 0.\nAnswer: 2\/3153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-16))\/(6\/8). Let a be (-147)\/63 - y\/6. What is the tens digit of (-204)\/(-8) - (-1)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124110 and 231?\nAnswer: 1365210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 29.1. Let r = -24 - -21. Let z = 0 + 6. Which is the nearest to x? (a) -2 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4126 is divided by 1372?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (-12 - 36\/(-6)). Solve -2*v + 4*w + 28 = 0, -2*w - 16 = -5*v + u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -1.434\nAnswer: 31.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 at most 6977\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*u + 243 + 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -309000 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530100 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k + 166 + 24*k - 165 + k - 2*k + 3*k + k + 2*k - 4*k + (-5 + 0 + 4)*(-2*k - 2*k + 6*k).\nAnswer: 38*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3336\/(-2502)*(-2729 + (1 - 2))?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1893700 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/(j**(2\/3)*j))**(-11\/3))**(4\/21) assuming j is positive.\nAnswer: j**(-440\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxff when four letters picked without replacement from {f: 4, x: 5, g: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505371.\nAnswer: 7, 83, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/9 + 40*m**3 - 196*m**2 + 2456*m\/9 - 350\/3 = 0.\nAnswer: 1, 3, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 490245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24856, -49646, -74318, -98824, -123116, -147146?\n\"Answer: 8*f**3 + 11*f**2 - 24879*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 772.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001011101 (base 2) in base 4?\nAnswer: -101131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 2*f**2 - 3*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5) + -3 + (-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Is 2 + (-2)\/(-7) + (-243416)\/(-56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145744 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20073, 20059, 20033, 19989, 19921, 19823?\nAnswer: 19689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544233763 rounded to 3 dps?\nAnswer: 0.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*(2 - -6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 5) + (-18627)\/(-1530). Let z = 114\/85 - u. What is the common denominator of z and 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3\/4 + 11*x**2\/4 + 13*x\/4 + 5\/4 = 0.\nAnswer: -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -478 - -15a0?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.998 rounded to one dp?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333368, -3, -5 in decreasing order.\nAnswer: -3, -5, -333368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + -4 + 2 + 3. Let o be (1 + x - 1)\/(-2). Suppose -o*b - 2*b + 21 = 3*u, b = -3*u + 21. Is u at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -130*x - 13518. What is j(-104)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -2\/7, -4, 1, -12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*z - 11 + 58, 3*y = -5*z + 97. What is the remainder when 119 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6)*627\/(-152) + (-756)\/(-1008)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away 4.864673?\nAnswer: -6.664673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjuuuuuuu. What is prob of sequence ujuu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, e: 2, s: 9, h: 5}. What is prob of sequence fssh?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - j + 0*j = 1, -4*j = -3*x + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/3 (b) -87 (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + 57. Let p = -74 - z. Let r = -234.000000219 - p. Round r to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 6, 2\/15, -0.5, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819 = -9*q - 855. Let p(m) = 3*m + 8. Let u(b) = b + 5. Let v(z) = q*p(z) + 9*u(z). Calculate v(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 168*i*k**3*x + 2*i*k*x - 11*i*x - 8*k*x - 299 wrt k?\nAnswer: 504*i*k**2*x + 2*i*x - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 - (78 - (17 - -74))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8)\/h**(-1))\/(h**(1\/7)*h**(-1\/9)) assuming h is positive.\nAnswer: h**(425\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 20261.\nAnswer: 6078.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5478.136 kilometers?\nAnswer: 5478136000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 15. Determine p(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -n - 455, 4*v + 166 - 530 = 4*n. What is the remainder when v is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m - 1 + 16*m - m to w + d*m and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24330 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 8*t + 7. Suppose 1 = -k - 3. Let j = -10 - k. Determine g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23359 and 28090349?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -12. Suppose 35*y + 627 = 38*y. Let c = y - 204. What is the lowest common multiple of c and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 300.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -17*g**2 + 7*g + 6. Suppose 18*h + 74 = -34. Let d(k) = -18*k**2 + 8*k + 7. Let q(v) = h*b(v) + 5*d(v). What is the second derivative of q(m) wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 708630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 2*l**2 - 3*l - 5. Let a be y(4). Suppose 5*c = -15, -5*k - 2080*c = -2078*c - 4. Solve r - a = -k*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6184106 less than 1.3?\nAnswer: -10.3184106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -2*r**5 - 163*r. Let p(x) = x**3. What is -88*p(o) - 2*z(o)?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 2640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q - 35. Let p(g) = -g**2 - 10*g - 13. Let o be p(q). Let u(c) = -c**2 - 4*c + 3. What is u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 144*y**2 - 81 - 87 + 113.\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a millimeter in micrometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 205*h. Let k(b) = 203*b. What is 5*k(o) - 6*x(o)?\nAnswer: -215*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 0 + 6 + 11 + -8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5. Let g be f(3). Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1.664. Let d = -3.036 + z. Let l = -3 - d. Are -2 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 - (46 + -24 - (13 - 28 - -34))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = -3*s, n = -s - 6. Sort n, 0, 3, -5 in decreasing order.\nAnswer: 3, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 972.1 and -0.015?\nAnswer: -14.5815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1931*v - 1933*v - 2*r + 45458 = 0, -3*v + r + 68163 = 0. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, -7279 in decreasing order.\nAnswer: 0, -1, -3, -7279","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 6*k**2 + 6*k**2 + (k + 0*k + 0*k)*(0*k + 3*k - 5*k + (-4 + 1 + 1)*(2*k - 4*k + 3*k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -720515 equal to -3602576\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 425254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 57, 35, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 31*i - 8*i - 66 - 11*i - 10*i. What is v(19)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 13. Let f be n(-9). Let i = f - -7. Let v = 36 + -26. Solve i*g + 2 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -87070*w + 87070*w - w**2. Let s(p) = 64*p**2. Give v(s(j)).\nAnswer: -4096*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2 + 8*l + 3. What is the smallest common multiple of b(-3) and 150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4 and 59\/378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27067 + 27118.034. Let k = u + -51. Let q = 0.03492 - k. Round q to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - h - 6.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 50012*(42\/104 - (-24)\/(-156))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5829?\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 300, 2349, 7916, 18759, 36636, 63305, 100524, 150051?\n\"Answer: 293*z**3 + z**2 - 5*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.3. Let x(k) = k**2 + 3*k. Let n be x(-3). Which is the nearest to n? (a) r (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110008480.2 rounded to the nearest ten thousand?\nAnswer: -110010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-154)\/(-84) + (-6)\/4. Which is smaller: n or 0.353?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144188398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56763 and 80189.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9001, -9001, -9003, -9007, -9013, -9021, -9031?\nAnswer: -9043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 + 2*u - 8469. Let w be l(0). Round w to the nearest 100.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (0 - 9\/(-3)). Let c = x + 18. Suppose 5*y = 11*y - c. Solve y = g + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j - 213 - 38*j**2 + 69 - 127 wrt j.\nAnswer: -76*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3334*g**2*h**3*t**2 + g*h**3*t + 6*g*h*t + 8*h*t**2 wrt g.\nAnswer: -6668*h**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.056.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkblukluullllukkul. What is prob of sequence bkuk?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3)*-2)\/(sqrt(96)\/sqrt(2)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s**4 + 43*s**3 + 59*s**2 + 32*s + 8. Let u(k) = -5*k**4 - 11*k**3 - 15*k**2 - 8*k - 2. Let t(w) = 6*c(w) + 22*u(w). Find x, given that t(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i - 3. Let k be f(-1). Let v be (-1*1)\/((-1)\/5). Solve k = d - v*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 7*d**3\/3 + 5*d**2\/2 - 2*d - 2. Let z be p(-4). Let s = 19 - 10. What is the highest common divisor of z and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02874 rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5) - (-5)\/(-25)*23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2717 - -2.7283. Let s = -0.2 + 1.2. Let d = s - 1.05. Is d <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1338 - 850. Let g = -19640 + 19646. What is the smallest common multiple of n and g?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 16, -0.03088?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2723 = -2*n - 3*h + 585, n + 1054 = -4*h. Which is greater: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 - 114477587\nAnswer: -114477586.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c + 13. Let x = 18 + -19. Let y be p(x). Solve 2*n = y*t + 8, 2*n = 3*t + 5*n + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 48*t**3 + 2*t**2 + t. Let n be f(-1). Let u = n - -67. Calculate the remainder when (115 - -3)*(-1)\/(-2) is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369746 is divided by 631.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15059818967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 7580*n**2 - 37976*n + 45600.\nAnswer: 4*(n - 3)*(n - 2)*(n + 1900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 584 = 3*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2166 - -0.0166. Which is the smallest value? (a) j (b) -1 (c) -3 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 45*m - 94.\nAnswer: (m - 47)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1.3 (b) -2\/2919 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8.09. Let x = z - 0.29. Let h = -0.011 + 2.011. Which is the third biggest value? (a) 1 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.33 + -2.57. Let l = 47.6 + r. Let d = -3.5 + 3. Put d, l, 2, 4 in descending order.\nAnswer: 4, 2, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -12. Let m = 8 - l. Suppose -m*q + 5*a + 40 = 3*a, -q + 8 = 2*a. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -1.98. Sort -0.3, q, 39, -1 in ascending order.\nAnswer: q, -1, -0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 19. Let m(u) = 1790 - 597 - 596 - 597 + 4*u**2. What is m(p(r))?\nAnswer: 4*r**2 - 152*r + 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(49) + (sqrt(539)\/(-1*sqrt(11)) - sqrt(49)) + sqrt(49))\/((sqrt(14)*-2)\/sqrt(2)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 6, -2*f = -5*l - 12 - 15. Suppose -f*o + 8*o + 3*z + 11 = 0, 5*o + 4*z + 10 = 0. Which is the closest to 3? (a) 3 (b) o (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11821518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792146?\nAnswer: 2, 7, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/14 - 30\/(-105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -43*v - 1764. Calculate q(-58).\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {b: 1, i: 1, p: 1, k: 1, u: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -402232 or -3217857\/8?\nAnswer: -402232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/55, 1\/3, -3, -2, -22 in ascending order.\nAnswer: -22, -3, -2, -0.1, -2\/55, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4968 = -37*p - 32*p. Calculate the remainder when 212 is divided by p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let s be (n - 4)\/((-2)\/2). Suppose 3*k + 16 = 2*o, o - 4*k + 16 = s*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 - 115*m**3 + 19077*m**2\/2 - 336490*m + 4280738.\nAnswer: (m - 77)**2*(m - 38)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1689 divided by -3\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 25*q - q**2 - 14*q + 50*q as r + v*q**2 + b*q and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5 - 115. Suppose 5*c + q + 40 = 0. What is the remainder when 12 is divided by 2 + (-8)\/c*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + -4 + (sqrt(135)\/sqrt(3))\/sqrt(9).\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, 487, 2442, 6181, 12298, 21387, 34042, 50857?\nAnswer: 72426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l + 2. Let w = 21155 + -21158. Let f(j) = j**2 + 10*j + 2. What is w*f(n) + 4*m(n)?\nAnswer: -3*n**2 + 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 2*l + 2. Let z(m) = 4*m + 48. Let p be z(-11). Let g be w(p). Calculate the highest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1853214 and -2\/64647?\nAnswer: 5559642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 362 + -381. Is (-2326)\/(-3)*((-855)\/10)\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -11, 5, 2 in ascending order.\nAnswer: -11, -8, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21767 is divided by 21765.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 10\/19, -2\/11, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 483.7 - 484.7. What is the second smallest value in 1, m, 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -9*h**3 - 16*h**2 + 4*h = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.3 rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5210 (base 7) to base 2\nAnswer: -11100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = -5*k - b, -6 = k + b. Let x(r) = -6*r**3 - r - 1. Let f be x(k). Solve 3*c - 1 = -4*y + 2*c, 0 = 2*c + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7723*g**3 - 207*g**2 + 11*g?\nAnswer: -46338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1314 + 893. Let v = 812 + l. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155584 divided by 32.\nAnswer: 4862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 600 = -68*s. Solve -s = -3*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001176274 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26606 (base 11) in base 13?\nAnswer: -143b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -18*f + f**3 - 1 + 9 - 7*f**2 + 8*f. Let t be z(8). Let v be (6\/(-4))\/(6\/t). Solve -9 = -3*s - 3*j, -5*s = -j + v*j - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.841662mm to micrometers.\nAnswer: 3841.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -927 - -1209. Calculate the remainder when 854 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 146*x**2 - 5*x + 343. What is the ten thousands digit of u(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(17) - (-3 + sqrt(17))) - sqrt(17) - sqrt(17)) + 3)**2 + 3*(-3 + sqrt(153) - sqrt(153))**2.\nAnswer: -32*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/3 + 2 - 1076144\/(-357844))\/((-2)\/(-4))?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655256 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -2*u. Let x = u - -2. Suppose -n - 9 = -2*c, 2*c - x*n - 5 = -0. Solve c = p + 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-10))\/(((-851)\/370)\/(-23)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 171908\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1131*p**3 - 21*p**2 - 6*p - 23. Is b(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4266*v - 16457. Determine g(-4).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/5 - 8*j**4\/5 + 6*j**3\/5 + 8*j**2\/5 - 7*j\/5 = 0. Calculate j.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzr when four letters picked without replacement from {r: 1, w: 1, z: 3, h: 3, o: 5, e: 4}.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1616709965 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 15.1.\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let i be 15\/c*(-2)\/(-3). Let a(w) = -3*w - i + 2*w + 2*w. Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2760 + 111*l - 111*l + 2751 - 7*l**3 to y*l**2 + u*l**3 + k*l + g and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -14 + (7 - 0) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2288 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8520, -28856, -61006, -104970, -160748?\n\"Answer: -5907*w**2 - 2615*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*n - 1 - 17*n + 0)*(0*n - 4*n + 6*n) + (-19 + 19 - 5*n)*(-4*n - 2*n + 4*n).\nAnswer: 22*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-13))**15 assuming w is positive.\nAnswer: w**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = -53*m + 672 + 300 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-6))\/((-1)\/2). Let c(b) = 3 - 2 - 3*b - d. List the prime factors of c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8906 and 14762?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from xiiixaxmxxmxmxxixi?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 94*f + 28. Let c be v(14). List the prime factors of (-1)\/(c\/1348 - 1) - -4.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 10:56 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 2 + 3)**2 + sqrt(176) + 2 + sqrt(176)*3 - (1*(sqrt(176) + -3*sqrt(176) + sqrt(176))**2 + sqrt(176) + sqrt(176) + 2*sqrt(176) + 0).\nAnswer: 27 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -3 - ((15 - 19) + -1 + 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 27 + 29. Sort w, -0.1, 2\/3 in increasing order.\nAnswer: -0.1, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*i + 7*i + 26, 4*t = -i + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(2\/7)*v)\/v))\/(v**(2\/25)\/v))\/(((v\/(v*v**(3\/7)))\/v*v)\/(v\/(v*v**(-3\/11)))) assuming v is positive.\nAnswer: v**(4496\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/30 - 2*p**3\/3 - 1. Let j(a) be the third derivative of s(a). Let l(w) = 2*w + 0*w - 4*w. Calculate l(j(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92416011?\nAnswer: 3, 29, 1062253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1111101011000010101 (base 2) to base 8\nAnswer: 1753025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srzp when four letters picked without replacement from {z: 3, p: 8, r: 2, n: 1, q: 1, s: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 2*k + 3*k. Let n be v(1). Suppose 16 = n*d - 9. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391 and 27761.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3\/5 + 250686*n**2\/5 - 52045344*n\/5 + 2704670592\/5 = 0?\nAnswer: 104, 83354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/4, 1\/2, 2, -1337707?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 1884 - 1029 = 4031. What is the remainder when 2239 is divided by i?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 4*j**2 + 2*j**3 - 3*j**2 - 55*j + 52*j - j**4 as y + a*j + n*j**4 + l*j**2 + f*j**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001110211211011121 + 10?\nAnswer: 1001110211211011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 12. Let d be m(11). Let u(b) = b**3 + 7*b**2 + 8*b + 3. Let x be u(-5). Let n = d - x. Calculate the smallest common multiple of 1 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372480.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 113368.32 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 182*z - z**3 - 6*z**2 + 189*z - 9. Let w be x(5). Is (-1 + w - 0) + 13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055775452 rounded to 7 dps?\nAnswer: -0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(1\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(22\/4)\/(-11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2506419240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/84*4)\/((-18)\/(-42))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 2.238?\nAnswer: -6.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 3*f = 441813, -87824 = -3*i + 4*f + 133066. What are the prime factors of i?\nAnswer: 2, 11, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(2).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 6. Let y be c(-5). Calculate the common denominator of (0 + y)\/(5\/(-52)) and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 20 - 9 - 151*p to the form t + i*p and give i.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5656 - -5663. What is the closest to -49 in 0, c, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -228. List the prime factors of ((-2)\/(-6))\/((-7)\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 681, 2744, 6167, 10938, 17045, 24476?\n\"Answer: -2*x**3 + 692*x**2 + x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-60)\/(-21))\/5)\/(32 - -2). Let k = -365\/476 + w. Which is the smallest value? (a) 2 (b) -1\/2 (c) k (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -0.3, 0 in increasing order.\nAnswer: -2, -0.3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - -21. What are the prime factors of o?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Suppose -7*l + 3*l = -5*r - 43, 5*r - 42 = -l. Suppose 20 = d + l. Sort d, t, -2 in descending order.\nAnswer: t, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4928 divided by 308.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 17, v: 3}. Give prob of picking 3 s.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332410.\nAnswer: 2, 5, 13, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(4*x**5 - 3*x**5 - 3*x**5) + (-6*x**3 + 4*x**3 + 0*x**3)*(3*x**2 - x**2 - 4*x**2) + 0*x**5 + 3*x**5 - x**5 - 2*x**2.\nAnswer: 4*x**5 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(7) - sqrt(7)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.698 or -748?\nAnswer: 3.698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49631 or 49629?\nAnswer: 49629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.048653l to millilitres.\nAnswer: 7048.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**2 - 10*f + 2. Let x(k) = -5*k**2 + 5*k - 1. Let q(b) = -6*r(b) - 11*x(b). Determine q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvsvgvvssvcgggs. What is prob of picking 2 g, 1 v, and 1 c?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 1477520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11\/5)\/u*u**(-6))\/(u**(-3\/4)\/(u*u*(u**(-4\/23)\/u)\/u)) assuming u is positive.\nAnswer: u**(-3967\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3. Let f(j) = 3*j**3 - 1. Calculate 3*f(w) + 4*y(w).\nAnswer: w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 111226\/(-70) + (-26)\/455. Is -1589 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*l - 14*l + 40*l)*(3*l + l - l) + 9*l**2 + 21*l**2 - 11*l**2 to the form t*l**2 + a*l + j and give t.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 4 = -42*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64\/47 - 5401\/141. Let w = i - -40. Let l = 28 - 33. What is the closest to 1\/3 in l, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -430 + 480. Calculate the least common multiple of d and 34.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10. Let s = -8743\/11 - -795. Sort -1\/5, x, -5, s in descending order.\nAnswer: s, x, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15584, 15033, 14428, 13763, 13032?\nAnswer: 12229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v\/(v\/((v\/v**0)\/v*v)))))\/((v\/v**(-2\/23)*v)\/v)*v**(-11)\/v**(-5) assuming v is positive.\nAnswer: v**(-117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -93.4\nAnswer: 1494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*(75 - -8). Let y = u - -124. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3805141 and 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12073243.\nAnswer: 7, 13, 181, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n - 3*n)*((3 - 2 + 1)*(-2 + 0 + 1) + 3 - 5 + 1 - 16 - 126 - 12 + (-2 - 3 + 7)*(1 + 1 - 1)).\nAnswer: 930*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 72708*y - 17997704.\nAnswer: -4*(y - 17926)*(y - 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4)*(-3270)\/(-981))\/(60\/(-864))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250241 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1705 - -325?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Let f = -194 + 184. Let q be f + (8 - 0)*12\/24. Determine w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 4, r: 1, m: 3, p: 9}. What is prob of picking 1 w and 1 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*i**2 + 364 - 4*i - 365 + 2*i + i**2 - 1 + 1 + (-5*i - i + 5*i)*(-i + 2*i - 3*i) as l + v*i**2 + d*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2447*z - 4885. Determine d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 1521 = 12*s. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3 + 2 + 2 - 3 + 4 - 1 - 1 + (2 - 5 + 4)*(3 + 1 - 2) - 3 + 0 + 2)*(-20*u**3 + u**3 + 3*u**3) to d*u**2 + f*u**3 + j*u + y and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2)\/2*(55 + -321). Calculate the highest common divisor of f and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.12, 0, -73\/7, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, r: 4, w: 4, k: 3, n: 3, e: 2}. Give prob of picking 2 v, 1 n, and 1 k.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -0.050068. What is j rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 3. Let i = -256810 + 256807.39981. Let m = w + i. What is m rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 318*b**2 - 9728*b + 97152.\nAnswer: 2*(b - 184)*(b - 8)*(b + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n\/n**8)\/n)\/n**14)\/(n\/(n*n**2\/n*n))**(-24) assuming n is positive.\nAnswer: n**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -844, -1694, -2546, -3400?\n\"Answer: -z**2 - 847*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.411 + -64632677.\nAnswer: -64632680.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138.8 - -139.2838. Let d = 0.0162 + n. Let w be (-3)\/15 + 8\/20. What is the third biggest value in w, d, 0.08, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 1110110?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 2. Let y(o) = o + 8. Let g be y(-8). Solve g = c - d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -28*n + 289. Let d be x(10). Let t be (-10)\/6 - -1 - (-18)\/(-54). Let f be t - 0 - -4*3\/3. Solve -f*w + 3 = -d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 53 = -4*m + 55, 4*p - 23 = -5*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 102102311 (base 4) to base 11\nAnswer: 51331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 2*d - 2. Let x(z) = 4*z**2 - 7*z - 7. Let t(j) = -j - 18. Let b be t(-12). Calculate b*x(g) + 21*a(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 11*m - 6. Let p be t(-5). Let n = 34 - p. Sort n, 2, -1 in decreasing order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273745 divided by -1?\nAnswer: 1273745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -2*m**2 + 0 + 1\/6*m**4 + 2\/3*m**3 - m. Let i(k) = k**2 + k - 1. Give 3*i(p) - n(p).\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - -2.89. Let i be ((-2)\/18)\/((-6)\/27). What is the smallest value in 1, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -272, -1316, -3480, -7118, -12584, -20232, -30416?\n\"Answer: -59*g**3 - 206*g**2 - 13*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**2 - 281801*i + 80514.\nAnswer: (i - 40257)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38011.67 kilometers in meters?\nAnswer: 38011670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -2. Let h = -7 + 6.94. What is the closest to -2\/5 in b, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353702 divided by 206\nAnswer: -1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - sqrt(252)*-4)**2 - sqrt(252)) + 4)*2 + ((-1 + sqrt(252) + 4)*1)**2.\nAnswer: 24*sqrt(7) + 12869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c - 10. Let n(o) = -8*o + 8*o**2 + 10*o**c - 7*o**2 + 2 + 4*o. Let x be n(2). Is x at most as big as 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-10)*(((-30)\/4)\/(-5) + (-846)\/1692).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 9. Suppose -4 - 11 = -n*g, -w + 2*g = 4. Suppose -6*i - w = 2*m - i, -4*i = m + 6. Is m < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 384 (b) -11 (c) 51.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 20*j**2 + 2*j + 32. Let z be t(-20). What is the nearest to -0.2 in -2, 4, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 66*c**2 - 74*c - 138. Let d be h(-34). Let o(r) = 88*r. Let q be o(2). Let l = q - d. What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 516.8 + -516.9. What is the fifth smallest value in r, 1, -4, -2\/153, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 2*n + 2*n)*(2 + 0 - 1) + 56*n - 58*n - 11 + 0 in the form u*n + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 24*y**2 - 42*y - 8. Let k be (-27)\/18*(-8)\/(-6) - -19. Suppose 5*m - k = 93. Does 4 divide q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {z: 1, o: 6, a: 2, w: 2, m: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = -4*h, -3*h - 5 = -1148*l + 1144*l. Is -885 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143440618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*((-258)\/(-4))\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 10) + ((-532)\/(-6) - (22000\/(-264) - -84))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - 2*m**2 + (6*m + 2*m + 2*m)*(m + 2 - 2) - 3*m**2 + 2*m**2 + 0*m**2)*(-3*m - 2*m + 6*m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3\/(-7)*(10 + 0 + -17) + -17.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147\/395 - -18\/79. Which is the biggest value? (a) -0.5 (b) -3 (c) y (d) -1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 - -6.577748?\nAnswer: 7.357748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/6)\/((-10)\/15). Suppose 39 + 45 = h*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.9 + -0.2714613?\nAnswer: 52.6285387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.17 and 3484.\nAnswer: 3484.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/8)\/w)\/(w*w**(-4)))**(-11\/3)\/(((w**0*w)\/w)\/w*w\/w**5*w**(-2\/13)*w**(-2\/13)) assuming w is positive.\nAnswer: w**(-203\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1331) + sqrt(1331)*-2 + sqrt(1331))*4 + -5 - 5*1*1*sqrt(1331)))**2*-5.\nAnswer: -166500 - 2750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 2, x: 7}. What is prob of picking 3 x and 1 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -302702*u. Let y(r) = 2*r. What is y(x(j))?\nAnswer: -605404*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320405 + -150?\nAnswer: -320555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124712, -124710, -124710, -124712, -124716, -124722?\n\"Answer: -d**2 + 5*d - 124716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 16*i**2 + 10*i + 90. Determine h(17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 5*z + 9. Let a(f) = -5*f**2 - 2*f - 4. Let x(t) = -7*a(t) - 3*m(t). Suppose -4 = l + 3*l. Let i(b) = -b + 1. Give l*i(d) + x(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**2 - 2474*y + 709. Give m(-177).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1517 and 728413339.\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:04 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = b - x, -5*b + x + 48 = 0. Suppose -b = -4*p + 23. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -4, 364 in decreasing order.\nAnswer: 364, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72895 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308349 or 31143330\/101?\nAnswer: 31143330\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 5*w**2 - 6. Suppose 6 + 6 = -2*j. What are the prime factors of y(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 7 + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 + 2 + -1. Put -5, c, -3\/5 in increasing order.\nAnswer: -5, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((12\/4)\/3)*-23*16\/(-2392)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*20\/(-35)*5\/(-25). Let t = -2.3 + 2. What is the closest to 0.1 in t, -4, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -53*y + 113. What is n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-95)\/(-57)*9\/(-6). Put 23\/31, 0.5, x in descending order.\nAnswer: 23\/31, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let g = 4 + -3. Suppose g + 71 = s*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 845518 and 10?\nAnswer: 4227590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 22 + 61. Let o(p) = -9*p - 11. Let m = -986 - -992. Let h(f) = 4*f + 5. What is m*o(a) + w*h(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 14) in base 7?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140098 and 476.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1727972755 rounded to 5 decimal places?\nAnswer: 0.1728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**8\/840 + d**5\/40 - d**3\/3 - 1. Let v(r) be the third derivative of n(r). Find the second derivative of v(k) wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -6.5, 788\/9, -0.1 in descending order.\nAnswer: 788\/9, 7, 5, -0.1, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -33*g - 36. Suppose 3 + 12 = -3*k, 4*i + 5*k = -37. What is the remainder when y(i) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 24*y - 20.\nAnswer: -4*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 293070 divided by -58614?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362912045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 57*o - 2 = 3*s, 4*s - 9 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-70))\/(1\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (-38 - -50)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**2 - 50 + 50 - r**2 + 9*r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(720))**2 - sqrt(720)) + 3 + 5 + sqrt(25)\/sqrt(5) + (sqrt(245) - (2 + sqrt(245))).\nAnswer: -11*sqrt(5) + 6486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((-3)\/21*14\/4). Which is the fourth smallest value? (a) 0.01 (b) 6 (c) 15 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1597 + 6425\/4. Calculate the common denominator of w and 156\/(-88) - 2\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8659 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21688907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j + n, -2 - 15 = 4*j + 5*n. Solve 0 = -j*i + 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.84713 - 0.22087. Let x = l - -47. Let m = x + -0.032. Is m > -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17))**(2\/25) assuming l is positive.\nAnswer: l**(-4\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Suppose j*y - 25 - 5 = 0. Solve 4*a + 8 = y*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 79 = 14. Let y(k) = -k**2 + 9*k - 20. Let o be y(p). Find c such that -4\/3*c**2 + o*c + 4\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 3\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173 - ((-26 - 116) + 26).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-87 + (41 - 32))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110, 147, 206, 305, 462, 695, 1022?\n\"Answer: 3*n**3 - 7*n**2 + 37*n + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 24*n**2 + 14*n - 1. Let x be f(0). Let c be 6\/(-3) - 48\/(-22). What is the third biggest value in c, -0.5, x, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*z - 124 = 0, 0*i = -2*i + 3*z + 114. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/21)\/(4 + (-145)\/35). Solve o*h = 2*m, 2*h - 16 = -3*h + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 971*95.1.\nAnswer: 92342.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -3)\/1 - -19. Suppose 0 = -5*o + 2 + u. Solve -z - 9 = -o*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87*d**2*k**2 + 12*d**2*k*t + 35*d*k**2*t - 4*d*k + 3*k + 658*t - 41 wrt t?\nAnswer: 12*d**2*k + 35*d*k**2 + 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 7:55 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1, 5 in decreasing order.\nAnswer: 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, -13, 6.\nAnswer: -13, -5, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 - 4*z + 5*z - 4*z.\nAnswer: 8*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4524 - 0.0287922\nAnswer: 4523.9712078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*d + 9, -5*s - 3*d = -3*s - 23. Calculate the remainder when 22 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) -99 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b - 1. Let n(t) = -11*t**2 - 9*t + 5. Let w(o) = -n(o) - 6*x(o). Does 9 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 622, 364, 166, 58, 70, 232, 574, 1126?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {w: 1, p: 2, e: 1, b: 1, c: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-3) - -21)*1. Let c = 56 - p. Suppose -5*y = -f - 34 - c, 0 = -y + 5*f + 33. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91204, 182416, 273636, 364870, 456124, 547404, 638716?\n\"Answer: l**3 - 2*l**2 + 91211*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1124, -2250, -3378, -4508?\nAnswer: -5640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10\/31, 1\/3, 2\/81, 4, 3\/7, -0.43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210332902?\nAnswer: 2, 13, 8089727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1305075426 + 4?\nAnswer: 1305075432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -12) + 28 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let u(d) = -44*d - 32. Let r(g) = -4*g - 3. Let w(j) = 32*r(j) - 3*u(j). Calculate w(h(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34698 and 336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 12:53 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -31\/206?\nAnswer: -31\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) 0 (c) -1\/9 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-240)*6*-29*2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(38)*3 - sqrt(38))*2 - sqrt(38))*2)\/(sqrt(72)*-4*1 + sqrt(72)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 4. Let u be d(4). Let f be (-132)\/(-28) + (-8)\/u. Suppose -o = -3*z + o + 36, 4*o + 58 = f*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2 - 2 - x**2. Let w = 26 - 12. Let p(s) = -4*s**2 + w*s**2 - 11*s**2. Determine p(d(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**7\/350 - b**6\/100 - b**5\/100 + b**4\/20 + 51*b**2\/2 + b + 13. Let n(l) be the first derivative of p(l). Solve n(k) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (21 - (-18 + 30))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -148*x**2 - 888*x - 1. Determine d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 140709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-2 - -4) - (68 - 28).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 2. Let n = 37 + -3. Let h(o) = o**2 + 5*o + 11. Let j(x) = n*i(x) + 6*h(x). Factor j(q).\nAnswer: 2*(q - 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*m**2 - 79*m**2 + 1 + 39*m**2 to the form x*m + h*m**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 4*y**2 - y + 10. Let b = -3 + 2. Give l(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11245.036 rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 != 1993\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/4 + -1 - (-494)\/8. Suppose w = 3*q - 232. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25895048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023*z**2 + 30*z + 511*z**2 + 11*z + 510*z**2 + 11*z.\nAnswer: -2*z**2 + 52*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - d**2. Suppose 2 = -3*l + 5*l. Let t(q) = 2*q**3 + 4*q**2 + 3*q + 4. Let j(r) = l*t(r) + 3*a(r). What is j(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l - 20 = 0, -c - 3*l = -20. Suppose 2*p - p - 2*b - c = 0, -3*b = -2*p + 61. Suppose 246 = 5*m + p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1395\/13 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -597*i**2 - 10673*i**3 + 5336*i**3 + 5338*i**3 - 24*i**2 to the form b*i + m*i**2 + x + k*i**3 and give m.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppip?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 1) + 399 + (-8 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1683 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 724 - 400 - 138*i**3 + 132*i**2 + 700 + 134*i**3 - 1152*i.\nAnswer: -4*(i - 16)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f. Suppose f*n - 9 = -n. Let x = -2 + n. Solve -2*u = -x*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/293? (a) 4 (b) -15 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + 2 + (4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 2*f + 5. Suppose -2*c - 41 + 45 = 0. Let j(o) = 5*o**2 + 3*o + 6. Give c*j(w) - 3*k(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnxnxfsrnnf. Give prob of picking 1 r and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 3*t + 12, 0 = -2*h - 5*t + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 20 = 3*i, -3*l = 5*i + 36. What is the units digit of 101 - ((i - -4) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t**(-3\/4)\/t*t)*t)*t\/(t**(1\/11)\/t))**2)**20 assuming t is positive.\nAnswer: t**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 8*z**2 - 4*z + 13. Let n be t(7). Factor -38*l**3 - 16*l**2 - 36*l - n*l**2 - 2*l**5 + 4*l - 5*l**4 - 8 - 9*l**4.\nAnswer: -2*(l + 1)**3*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(180) + (-1*sqrt(180) - sqrt(180))))**2 + ((sqrt(324)*-2 + sqrt(324))\/sqrt(3))**2.\nAnswer: 1297\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1031643668.\nAnswer: -1031643667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 3*c**4\/2 - 7*c + 5. Differentiate z(f) wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**2 + y**4 - 8*y**2)*(1 + y + 0*y + 1).\nAnswer: y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/70)\/((-1)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((-18)\/(-81)). Suppose -v*p + 139 = 4*o, -p + 3*o + 58 = 2*o. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/12 + 8*i**3\/3 + 2*i**2. Let b(q) = 6*q + 1. Let s(k) = 11*k + 2. Let v(x) = -6*b(x) + 3*s(x). Give m(v(r)).\nAnswer: -6*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307161?\nAnswer: 3, 34129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 3*o + o**2 + 10 - 13. Let b(r) = 1. Let v(i) = -1. Let n(j) = 6*b(j) + 7*v(j). What is k(p) - 2*n(p)?\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -157929 (base 11) to base 5\nAnswer: -30312233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100001001110000111101?\nAnswer: -100001001110000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*q - 4*z, q - 5*q - z + 3 = 0. Calculate the highest common divisor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -1.1. Let k = l - 2.5. Let r = -0.1 + 0. Which is the nearest to r? (a) 3\/5 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22383, 2, 4, 3, 5, -4.\nAnswer: -4, 2, 3, 4, 5, 22383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(((-1)\/(-6))\/(10\/(-45))). Calculate the highest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 48545919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/5 in 2\/7, -1\/3, -1, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c**(-2\/11)*c*c)*c)\/(c*c*c**(-1\/47))*(c**(3\/5))**(-3\/4))**(8\/11) assuming c is positive.\nAnswer: c**(-67146\/28435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -548542682, -548542684, -548542686?\n\"Answer: -2*d - 548542680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -37. Let n be (6\/u)\/(4\/20). Let i(o) = 5 + 2 - 6*o + 0 + 2*o**n + o**3 - 9. Determine i(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90441252 and 1188?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 2. Let x = -25 + 33. Suppose -x = 6*h - 20. What is the least common multiple of h and m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 5682645*z**2 - 1614659646360*z - 20989615046660.\nAnswer: -5*(z + 13)*(z + 568258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17591\/106 + 24\/53. Let r = 527\/3 + w. Let n = 1997\/2264 - 2\/283. What is the common denominator of r and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541408364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - c**2 + 5*c**3 + 1 + 1 + 5*c**3 in the form h*c + o + m*c**2 + w*c**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10373\/2 + -4579. Let f = z - -7107\/10. Solve -1521\/5*h + f + 117\/5*h**2 - 3\/5*h**3 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g + g - 1012. Calculate the greatest common factor of 748 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4784743, -4784728, -4784713, -4784698?\n\"Answer: 15*c - 4784758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4342*d - 65. Let x(h) = 17368*h - 238. Calculate 11*g(z) - 3*x(z).\nAnswer: -4342*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*f + 1, 3*f + 2*w + 37 = 32 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -562, -993, -1422, -1849, -2274?\nAnswer: -2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -411380 rounded to the nearest one thousand?\nAnswer: -411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43598696847*v + 21799348427*v + 21799348424*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/121 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*5\/((-5)\/(-2)). Is l*(1 + 123\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(130))\/sqrt(10)*-6 + 5 + -3 + (-6*sqrt(52))**2 + (sqrt(13) - -1*(sqrt(13) + -2)).\nAnswer: -22*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -6.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25042339.\nAnswer: 7, 71, 50387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - -3.05. Let o = l + 2. Let b(c) = -27*c - 1294. Let p be b(-48). Sort p, o, -4.\nAnswer: -4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2039897 and 83.\nAnswer: -169311451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 102 = 15*j. Which is bigger: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**(-19))*f*f*f*f)**(-4)\/((f*f*f**(-4)*f*f)\/f**(-27)) assuming f is positive.\nAnswer: f**(-127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239348491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5\/(-15)*14\/(-364)*-24.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 3*x + 0*x**2 - x**2 + 2*x**3 - x**3. List the prime factors of u(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 53 = -2*s + 33, 0 = 5*s + 25. Is (5 - 4)*(q - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, -1, -2.8 in increasing order.\nAnswer: -11, -7, -2.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10037 - -10039. Let l be ((-11)\/6 - -1)*2. Let u be 34\/(-30) - (-1 + 0). What is the closest to 2\/7 in l, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3370*f = -3577*f - 828 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15015527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395435.\nAnswer: 5, 7, 89, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let w(n) = 20*n**2 + 40*n - 4. Let s(d) = -4*d**3 + 11*d**2 - 18*d. Let u be s(2). Let o(b) = u*k(b) - w(b). Factor o(m).\nAnswer: -4*(m + 1)*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3784933420 to the nearest one million.\nAnswer: -3785000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*z = -n - 28, -5*n = -2*z + 54. Let s = -5 - n. Factor 3*m**3 + 0*m**5 + 4*m**4 - m**3 + 2*m**s.\nAnswer: 2*m**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + 5fd9b?\nAnswer: 5fdb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.101 and 71169914202.\nAnswer: 71169914201.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 + 2*u + 2. Suppose 3*i = -71 + 83. What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -5 + 2)\/((-4)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 54738945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1244 (base 6) to base 12\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.545046 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 + 135. Let i be (5424016\/(-6))\/(4\/(-30)). Suppose -5*c = 3*p - i, -p = j*c + 2*c - 2260016. What is p rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/61 and 10\/3.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h + 4*o - 3*o, h - 4*o - 2 = 0. Suppose 3*i = -h*l - 3*l + 5707, -3*l + 5*i = -3397. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -12. Find the third derivative of -3*x**o - x**2 + 2*x**6 + 4*x**6 wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6743.\nAnswer: 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5888 - (0 + -3 + -1). Let g = -34 + 139. List the prime factors of (-14)\/g + d\/(-30).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.03. Let v = -153 - -109. Let g = v - -42. Put 2\/9, g, w in descending order.\nAnswer: 2\/9, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 780.451 to the nearest ten.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.18501 nanometers in centimeters?\nAnswer: 0.000002418501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81b06a + 7?\nAnswer: -81b063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 11*s**2 - 12*s - 8. Determine p(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 - -9. Let i = -1.4 - t. Suppose -7*f - 2*f = 0. What is the nearest to f in 20, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 1617?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 0.0339.\nAnswer: 0.004746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -55*b + 818 + 246. Calculate the remainder when 322 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.7, 1, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 39*g**2 + 140*g - 173. List the prime factors of h(33).\nAnswer: 2, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((4 + sqrt(539)*5)**2 - sqrt(539) - sqrt(539)) + 5 + sqrt(539) + -1*sqrt(539) + sqrt(539)) + -2.\nAnswer: 546*sqrt(11) + 26990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20\/7 - 128\/35. Is s < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1153*b**5\/60 + 11*b**4\/6 + 179*b**2 + 4*b. Find the second derivative of y(d) wrt d.\nAnswer: 2306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:48 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079791 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/11 - 1202*x**3\/11 - 47924*x**2\/11 - 410560*x\/11 + 1022400\/11 = 0. Calculate x.\nAnswer: -20, 2, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3989327\/60 + 66487. Find the common denominator of -151\/270 and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = m - 2*d, -3*d + 1203 - 1209 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21*s**2. Let t(v) be the second derivative of -v**4\/3 + 1416*v. Let f be (-130)\/(-6) + 2\/6. Calculate f*t(m) - 4*z(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-99)\/3) + -1. Suppose q = -3*o - 0. Let c(h) = -h**3 - 10*h**2 - 2*h - 15. What is the units digit of c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + a = 15*x + 130650001, -2*x - 52260002 = -2*a. Round x to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1879884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = 5*a - 34, 4*a = -5*w - 18. Let y(c) be the second derivative of -c**5\/20 - 7*c**4\/12 - 7*c**3\/6 + c. What is y(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 3, p: 1, t: 5}. Give prob of sequence ttyt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*p**3 + 1156*p**3 + 314947*p**2 - 314947*p**2.\nAnswer: 1299*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**4 - 28*b**3 + 17*b**2 + 28*b - 12 = 0.\nAnswer: -6, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 7479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4\/7, -70, 64, -0.5, 1, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -72. Let h = 1 - 1. What is the nearest to h in j, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*j - 6*y + 4*y, 12 = -4*j - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0765309101 - 0.07653. What is f rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 33639 = -4*y - 33604, -10*g - 25 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 + 3*u**2 - 3. Let f = -9 - -10. Let s be ((-1269)\/5)\/9 - f\/(-5). Let c(q) = -36*q**3 + 28*q**2 - 28. Calculate s*j(z) + 3*c(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Suppose -53*f + 3*d = -54*f, 2*d + 2 = 0. Suppose z = f + y. Solve -5*m = -2*k - 2, z*k = 4*m + 2 + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 22\/(-12) + (-272)\/(-96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*j = -5*q + 28, -3*q + 75 = 3*j. Let u = q - 2. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*g = -34336, 19*k + 17162 = 20*k + g. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:07 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 (base 9) in base 6?\nAnswer: -3125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20172.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -11*l - 4*p - 122, -45 = -5*l + 3*p. Suppose -g + 16 = g. Solve g = b + l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = -2*d - 6, 0 = -2*m - 2*d + 10. Suppose 2*r = -7*c + 4*c + m, 0 = 2*r + 5*c - 1. Solve 12 = -3*j, -j = o - r + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55476 + (0 - -15) + -10 + -10?\nAnswer: 13, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 56*j**2 + 39*j + 311. What is the hundreds digit of r(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -11 + 8 - (-1 - 16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-178)\/36)\/(1\/2). Let z be (577\/(-18) - -1) + 1. Let u = z - o. Calculate the common denominator of -95\/8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69275997?\nAnswer: 3, 7, 1099619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 - 9 = -u, 2*u + 3*d - 30 = 0. What is the greatest common divisor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005519819 rounded to five dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.96045 - 1727677.\nAnswer: -1727708.96045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 64. Let v = z - -99. What is the units digit of -2 + v\/(-1 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24806 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93421\/12 + -7785. Sort 28, -5, 5, 0.1, k.\nAnswer: -5, k, 0.1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 3403208*c\/7 - 972344.\nAnswer: -2*(c + 2)*(c + 1701602)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 133554 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4081 is divided by 582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 376 + -163. Let h = 329 - t. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381409 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/16 - 694\/(-4). Let g = -1559\/9 + t. Let i = 14.9 - 16.9. Which is the closest to -4\/5? (a) 5 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 11*q - 852. Suppose -312 - q = -5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/8 - 96\/(-33) - 3\/(-33). What is the closest to 367 in 5, -0.2, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.08 + 24. Let s = 0.041 + u. Round s to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r - 1\/15*r**5 + 0 + 1\/6*r**4 + 0*r**3 + 5*r**2. Find y such that l(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -223, -181, -49, 215?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-56)\/(-12)*(5 - 2). Let m be (1 - v\/(-10))\/(1148\/(-820)). Which is the nearest to m? (a) 7 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -2\/21 (b) -5 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1177 + 2199. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 42. Sort 5, -0.5, a, 0 in increasing order.\nAnswer: a, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 11. Let b(l) = 8*l - 5. Let d(m) = m - 1. Calculate g*b(k) + 6*d(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58700000 rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*y + 5*r, r - 4 = -2*y + 6. Let q = y - 6. Suppose q = -m - 1 + 5. Solve -m*u - 16 = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9471 or -9475?\nAnswer: -9471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*k, -k - 7 = 2*x + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27270 is divided by 871.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(30\/(-25))*27\/90)\/(273\/2016)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*r**3 - 160*r**3 - 404*r**3.\nAnswer: -997*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -10. Sort -5, r, 0.\nAnswer: -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 6\/7*t**2 - 72\/7*t**3 + 69\/7*t + 3\/7*t**5 - 36\/7 + 30\/7*t**4 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*j**3 - 90*j**3 - 596*j**3.\nAnswer: -1055*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 695 = 565. Put -14, 4, g in decreasing order.\nAnswer: 4, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -31*y**2 + 46*y - 127. Calculate i(3).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a - 1. Let y(f) = -72*f + 8. Calculate -14*t(q) - 2*y(q).\nAnswer: 228*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:56 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*s**2 - 41*s**2 - 59*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 2\/7, 541, -0.6, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 + -317. Solve 5*k - 2*f - 8 = 0, -5*f - n - 9 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 389*r**3 + 6 - 2*r**4 - r**2 + r**2 + 4 - 11 in the form u*r**3 + w*r**4 + m*r**2 + v*r + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + u + 63, -3*u - 57 = -6*x + 2*x. Let l = -3 - 7. Let t = x + l. Solve 5*p - 30 = -t*z, z + 2*z - 15 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 28\/11 (c) 0 (d) -11 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 13777648.\nAnswer: 13777648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3227415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 2. Let k(h) = h**3 - 9*h**2 + 3*h + 38. Let b be k(8). Let f(x) = -x**2 - 1. Calculate b*o(a) + 4*f(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32035140 (base 6) to base 14.\nAnswer: 1a5c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140931360 divided by 195738?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*z, 5*d - 5*z + 13717 = -3893. Let y = 5468 + d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1604130 at most as big as -1604130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4589655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o*o**(1\/4))\/o*o*o*o*o)\/o)**(8\/3)\/(o\/(o**(-2\/9)*o)*o)**(-25)*((o*o**6*o)\/o**(-5))\/(o**(-5\/2)*o*o*o*o\/(o*o**(2\/5))) assuming o is positive.\nAnswer: o**(4931\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335264?\nAnswer: 2, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 108. Let v be (1 - -43) + (6 - 5). Let z = k + v. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(1\/(1\/2)). Let l(k) = 2*k**3 - k**2 - 2*k + 2. Let t(d) = 15*d**3 - 7*d**2 - 15*d - 6. Let v(a) = 8*l(a) - t(a). Determine v(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 250 = 72*t - 74*t, 5*t - 5*h - 610 = 0. Calculate the highest common factor of t and 1105.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0 - 10*v**2 - 1\/2*v**3 + 0*v + 1\/6*v**4 + 3\/10*v**5. Is u(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938395.13 rounded to the nearest ten thousand?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21594 by 366.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhihudupipuuuhp. Give prob of sequence ipdp.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**3*z**2 - 2*q**3*z - 2*q**2*z**4 + 196*q**2*z - 18*z**3 wrt z?\nAnswer: 12*q**3 - 24*q**2*z**2 - 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03231 take away 242.2?\nAnswer: -242.23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73590 is divided by 2192?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2933 and 14665?\nAnswer: 14665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gbgg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*q + 3887 = -j - 266*q, -5*j = -4*q + 19522. Does j = -3900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 + -362. Let t(g) = -g + 1. Let u(i) = -4*i**3 + 4*i - 2. What is n*u(a) - 4*t(a)?\nAnswer: 4*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.31175 rounded to two dps?\nAnswer: -67.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p + 14. Let a(d) = -d**3 - 8*d**2 - 8*d + 6. What are the prime factors of a(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*h - 67*h + 29*h = -1680 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 140442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from fdfdddd.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jll when three letters picked without replacement from mcmmlrdmdjdjjcclccc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1687\/548328 - 5\/2728. Which is smaller: r or 0.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1541*p - 264 = 1517*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffqfqqfqffff. Give prob of sequence ffqf.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/(8\/(-6))*0. Suppose t = -3*v + 5 - 29. Let h = v + 8. Solve h = 3*w - 1 + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7443 (b) -1\/5 (c) -2 (d) 12 (e) 4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4898800?\nAnswer: 2, 5, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 2*k + 360. Suppose k - 130 = 5*z. Does 11 divide ((-15)\/(-2))\/((-3)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365 and 424742543.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 281363 + -281365.09083. Let g = 2.103 + r. What is g rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 21*i = -75. Let s be (-6)\/(36\/i) - 3\/6. Suppose 0 = -2*p + 5*z - 2*z - 8, -z = s*p - 8. Solve 2*r = -0 - p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -84*y**2 + 464*y + 1684. Give h(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43914 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 29 + -3 - 18) + (18 - (12 + -5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:25 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42\/5 of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -21. Is 12 a factor of (u - -3)\/(9\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*v - 2578, 3*w + w - 2586 = v. Let g = w + -344. What are the prime factors of g?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddddqdddqdddqdddq. What is prob of picking 1 q and 2 d?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13792706 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5 plus -1209677.187?\nAnswer: -1209666.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:49 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2439.5700076 - -2439.7. Let n = 2.43 - 2.3. Let g = o - n. What is g rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31\/2604 - 0\/1. Let f(k) be the third derivative of h*k**6 - 2*k**2 + 0*k + 17\/210*k**5 + 4\/21*k**4 + 4\/21*k**3 + 0. Find q, given that f(q) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 14*a**2 - 16*a - 11. Let l be s(-15). What is the third derivative of 439*y + 13*y**l - 439*y - 10*y**2 wrt y?\nAnswer: 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12630042.\nAnswer: 2, 3, 701669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + ((-29)\/(-20) - -1) - -2 and 6\/(-15) - (-47)\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (14 + 6)\/10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018001569 to seven decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) + 6\/4. Let y = b - 0. Solve -5*u = -8 - y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/6 - (2\/26)\/(66\/(-19074))\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70364442 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 - 14*j - 150 + 5*j**2 + 3 - 6*j**3 - 5*j**2 with respect to j.\nAnswer: -24*j**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:38 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5994821 times -43?\nAnswer: 257777303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 0, -3\/7, -1, -68\/333?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4, -138, -81, 21, 1 in decreasing order.\nAnswer: 21, 5, 1, -4, -5, -81, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tblddlddgllllddbl. What is prob of sequence tdb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 557752 divided by 2249\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1717 and 3077.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/11, -3, -0.3, -1, 1\/6838, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnuozmu. What is prob of picking 1 n, 1 m, 1 d, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 - 163.158. Let i = -1.022 + o. Round i to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716831?\nAnswer: 281, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 170.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 87. Suppose k = 2*f - 208 + 52. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 981 + 3771. Let x be -2 - g - (-13 - -9). Let c = x + 1301. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-3\/5)*k**(1\/16)*k assuming k is positive.\nAnswer: k**(213\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -2\/9, -3\/4, 19\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**2 + 5*w**2 - 5*w**5 - w**5 + 0*w**5 wrt w.\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2763615543 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -u + 10, 83*u - 712*z + 708*z + 124 = 93*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236298247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3805819.\nAnswer: 3805819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.996 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236064316 (base 7) in base 13?\nAnswer: 3085ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*g**3 - 308*g**2 wrt g.\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(-1*sqrt(9)) - (sqrt(110)*-1 + sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(10)) + 1.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(-1 + 2 - 2 + (4 - 4 + 1)*(0 + 1 + 0) - 4 + 1 + 4 + 1 + 4 - 8)*(3 - 2 + 10)*(-3 - 2*k**2 + 3) to the form w*k + o + n*k**2 and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.5 + -49.7. Let n = 0.13 + 0.27. Which is the second biggest value? (a) m (b) -12 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140.478ml in litres?\nAnswer: 5.140478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -75. Let g be 2\/24*(-32)\/(-12). Which is the second smallest value? (a) -3 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28041, 28063, 28085, 28107, 28129, 28151?\nAnswer: 28173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/80 - 13*i**4\/48 - 2*i**3 + 125*i**2 + 2. Let u(s) = 0. What is s?\nAnswer: -6, -8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 1, -2\/23, 1\/4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552*127.\nAnswer: -70104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*f + 10, 12 = 3*x + 5*f - 6*f. Let l(p) = -5*p**2 - 33*p + 8. Let q(s) = s**2 + 8*s - 2. Let n(g) = 2*l(g) + 9*q(g). What is n(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3717431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1765709750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -18. Calculate the smallest common multiple of 82 and p.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 38*d + 179. Determine g(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8060224 rounded to two dps?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - i**2)*(-3*i - 2*i + 4*i) + 6*i**3 - 3*i**3 + 0*i**3 + (i**2 - i**2 - 2*i**2)*(3*i + 5*i - 4*i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 5, 2 in decreasing order.\nAnswer: 8, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1262 + -21430\/17. Is 1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9740414509 from -2030.\nAnswer: 9740412479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 2*g - 32929 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:30 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8793\/63 + (-9)\/(-21))\/(((-12)\/2)\/(-6))?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 10*p - 4. Let l(m) = 4*m**2 - 11*m + 3. Let g(a) = -2*l(a) - 3*v(a). What is g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5403 + 1.1403. What is the nearest to -34 in s, 0.1, -0.2, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1240 + 521 + 1760*x**2 - 2198 + 1526*x**2 - 439 wrt x?\nAnswer: 6572*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7. Suppose 3*d - 5*d + 88 = r. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d. Let f(i) = 14322*i + 217. Let o(p) = 199*p + 3. Let c(n) = -3*f(n) + 217*o(n). Calculate c(x(h)).\nAnswer: 651*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4095 = -2*p + 4065, 3*m - 12*p + 16*p = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 + 3.21. What is the closest to -2\/7 in -2, r, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.177161ns to days.\nAnswer: 0.0000000000023400134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1679 + -5324616766\nAnswer: -5324615087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m. Let h(r) = 377*r**2 + 755*r + 1. Determine s(h(w)).\nAnswer: 1508*w**2 + 3020*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18516666 and 3444.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 77752 (base 12) to base 11\nAnswer: a8a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**3*l + 3*i**3 + 95*i**2*l - 12*l - 18 wrt i.\nAnswer: -15*i**2*l + 9*i**2 + 190*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -329, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.6 - 2.6. Let h = -67.0049 + k. What is h rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*h**4 + 44*h**2 - 57*h**4 + h - h + 235*h**4 wrt h.\nAnswer: 10368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 579926.1 and -1.424375?\nAnswer: 579927.524375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 4 + 2*g**4 + 4 + (23*g**2 + 8*g**3 - 23*g**2)*(-2 + g + 2) + (-4 + 4 + g**2)*(g**2 + 0*g + 0*g).\nAnswer: 11*g**4 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k - 6*k - 11*k = -114*k + 1272 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1 + 1)*(-9)\/(-15). Sort -0.7, 0.04, -1\/3, j in ascending order.\nAnswer: -0.7, -1\/3, 0.04, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100249, 100248, 100247?\n\"Answer: -r + 100250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 40*n**2 + 1085*n + 98. Give r(-27).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3928480 and 2623.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*n**2 - 51*n + 26*n**2 + 79*n**2 + 10 + 77*n**2.\nAnswer: -6*n**2 - 51*n + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6769 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/45*((-408)\/850*5)\/(4\/2).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 434917880 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 14, c: 1, q: 1, g: 2, v: 1}. What is prob of sequence cq?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 - 209. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 287*l - 100 - 284*l - 38*l**3 - 16*l**3 + 194.\nAnswer: -54*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 21*m + 230 = 3*l, -5*l + 380 = -4*m. Suppose p + l = 93. Solve 0 = 6*q - p*q - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 14. Suppose x*w = 5*w + 144. Suppose 5*f - w = -3*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -388484393, -776968789, -1165453185, -1553937581, -1942421977, -2330906373?\n\"Answer: -388484396*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13195?\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let u(l) = l + 3. Let n(i) = i + 2. Let t(w) = -6*n(w) + 4*u(w). What is t(v(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/351 and -7\/216.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 242*k - 130. Is d(11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -32. What is the smallest common multiple of v and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3213531 + -4?\nAnswer: 3213524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 + x**2 - x**2 + 989 + 740*x**4 - 989 + (2*x**4 - 2*x + 2*x)*(-1 + 1 - 2) in the form b*x**3 + a + u*x + q*x**2 + k*x**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -1 + -1 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v - v - 4*v - 7*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 6749.\nAnswer: 5\/6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h + 52 = 712 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.93 - 0.07. Let d = -3 - g. Let a = -3 + d. Which is smaller: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - 64) + (3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 812\/8*(-124)\/434.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3506699, -3506701, -3506703, -3506705, -3506707, -3506709?\n\"Answer: -2*w - 3506697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*20\/(-6) + 94 + -128 + 32\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193766444.\nAnswer: 2, 23, 191, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/16 (c) -8929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f = 3*p - 32 + 8. Let 2*u + 2*u**2 - 10*u + 0*u + p = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 0.5, -4, -456\/5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 + -1 + -9 + (85 - 97)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from dsnkksdkk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -19188696.\nAnswer: -19188695.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 + -1.9. What is the closest to 0 in -0.2, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1 - (-1659 - 2). Suppose -5*u = 6*u + 5*u - 144. Suppose 10*w - u*w + g = 0. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Find the second derivative of -13*d - w*d**2 + 3*d - d**2 wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202731 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 1084194.\nAnswer: 15178716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*y + 38*y = -392*y - 36768 - 13476 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, g: 5}. Give prob of sequence bbb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trttttrrtttrtttttt. What is prob of sequence rrrr?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 55 = 4*r, 5*j - 3*r - 38 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3, -2195, 1.\nAnswer: -2195, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-10 - -15) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 278 - 21130?\nAnswer: -20741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p = -109*p + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17493244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -150, 9 in descending order.\nAnswer: 9, 0, -4, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*d = -d + 5, -2*v + 12 = -4*d. Let j = v - 1. Suppose j*u = 8*u. Solve -15 = -5*x - 2*h - h, u = -3*x + 5*h - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*p - 5*q + 913 = 223*p, 4 = 2*q for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3 (b) 1\/2 (c) -2\/7 (d) 0.0724\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11*w**2 + 3 - 6*w**3 - 13*w**2 + w**2 to l*w + f + b*w**3 + i*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - 1) + 67\/(-268) - 3?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9340 and 4640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 3*k + 3. Let u(x) = -x**2 + 2*x + 2. Let w(j) = -2*h(j) + 3*u(j). Let o(v) = -v + 15. What is o(w(m))?\nAnswer: -m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/544*2)\/((30\/(-8))\/15).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 201212111121 (base 3) to base 9\nAnswer: 655447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 5*q - 4*q)*(2 - 2 - q**2) - 328*q**3 + 506*q**3 + 873*q**3 to the form w*q**3 + r*q**2 + n + i*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus -2663163?\nAnswer: 2663130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4105, -3821, -3539, -3259, -2981, -2705?\n\"Answer: -v**2 + 287*v - 4391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*i + 1446, 14*q = 15*q + i - 705. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = w - 116, 0 = j - 5*w + 66 + 54. Which is the nearest to 2? (a) -0.5 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 + 111*l - 2660 = 0.\nAnswer: 35, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert -7894 (base 13) to base 4.\nAnswer: -10013110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7761?\nAnswer: 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1.1 (c) -3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h + 28*h**3 - 105*h**3 + 23*h**3 + 24*h**3 + 28*h**3 - 9*h.\nAnswer: -2*h**3 - 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29141098012 + -2331355247357\/80. Let w = -842601 - f. Let i = 17\/80 - w. What is the common denominator of 119\/12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-77)*7602\/15204?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 6:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (5 - 3)\/1. Let l(n) be the first derivative of 0*n**2 + 7\/15*n**5 - 2\/9*n**6 - 1\/9*n**3 - 1\/6*n**c + 0*n - 2. Factor l(o).\nAnswer: -o**2*(o - 1)**2*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 8. Let f be c(-6). Suppose 0*v + v = f, -3*v + 18 = -3*l. Sort 5, l, -2 in descending order.\nAnswer: 5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 1. Suppose -6*q = -8*q + 36. Let i = q - 15. What is the remainder when u(-5) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 5 - 3)*(-4)\/(-6). Suppose 4*n - 18 = -g*n. Suppose 3*r - 5*l - 38 = 0, 0 = -5*r - 5*l + 7 + n. Solve z = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 take away -765.455091463?\nAnswer: 765.235091463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3308\/5 in 1349, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 65, 119, 193, 293, 425?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 22\nAnswer: -31\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -498 (c) 10\/39 (d) -0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*d - 776, -4*d + 3*g = -2*g - 634. Calculate the smallest common multiple of 10 and d.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - 2\/5. Suppose -2*m + n*m - 338 = 0. Let x = 236 + m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 - 2*l**3 + 4*l**2 + 7*l**3 - 3*l**2 as i*l**2 + z*l**3 + y + d*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(4\/70 - 2768\/(-560))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, t: 5}. Give prob of picking 3 b.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24 + 15)*3\/(-9). Put 2, 7, 0, v in ascending order.\nAnswer: 0, 2, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -23124 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwwwrwrwwwwgg. What is prob of picking 1 g and 2 w?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 55 = -5*c, -81 = -4*c - 6*n + n. Suppose 2*s + 4 = -5*g + 2*g, -2*s - c = -2*g. Let w = 10\/7 + -13\/7. What is the closest to 1 in w, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**9*f)\/f)\/f)\/f**(-3\/8)*(f\/f**(1\/5)*f)**(-39))\/(f**1\/f**(-1))**(-3\/7) assuming f is positive.\nAnswer: f**(-17071\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/21 - (-1336)\/7. Let n = q - 55. Suppose 4*m - n = -0*m. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/5*1\/2. Let h(i) = -3*i - 9. Let s be h(-4). Put s, 4, u in decreasing order.\nAnswer: 4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23140210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3\/7 (c) -6\/305 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (920\/24)\/23*4\/(-10). Which is greater: 74 or f?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1402*t**2*y**3 + 28525*t**2 + 10*t*y**3 - 1 wrt y?\nAnswer: 4206*t**2*y**2 + 30*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-1) - (-12)\/(-4). Let y be 11893\/(-44)*v\/14. Let k = -698 + y. Calculate the common denominator of -79\/22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*t**4 + 75*t**3 - 3531*t**2 - 24375*t + 101907 = 0. Calculate t.\nAnswer: -13, 3, 67\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416795 divided by 4?\nAnswer: 416795\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3, -4*h + 9*h + 3 = 4*s. Let y(a) = a**2 - 2*a - 6. Let u be y(-2). Let r be (2\/2 - 1 - u) + 2. Solve -s*x + 4 - 2 = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/15165 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/120099 and 71\/12?\nAnswer: 480396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -167*g**3 + 2*g**2 - 40*g + 35. What is n(1)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -29 - -23 - (-1195 + -2 + 3). What is the greatest common divisor of i and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 9. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19898 times -0.1?\nAnswer: -1989.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(363) + 0 + sqrt(363) + -3 + sqrt(363))**2 - (-1 + 6*2*(2 + sqrt(3))**2)) + -4.\nAnswer: -246*sqrt(3) + 3184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 0*s + s**2 - 16\/3*s**3 - 54 + 51\/4*s**4. Find the third derivative of j(t) wrt t.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**2. Let h(w) = -2*w**2 + 6*w. Calculate b(h(g)).\nAnswer: 32*g**4 - 192*g**3 + 288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-4641))\/(4\/39).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*f - 28, -83*z + 82*z - 2*f + 2 = 0. Which is the second smallest value? (a) -3 (b) z (c) 0.4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328399649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1812 divided by -2.\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -53. Which is the third smallest value? (a) 4 (b) i (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 2 + 0*w**2 + 4 - w. Let k(r) = -11*r**2 + r - 4. Let o(u) = 3*k(u) + 7*n(u). Factor o(f).\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 22*f**2 - f + 45. Let b be k(22). Suppose b = 8*r + 7. What is the first derivative of -18 - r + 43*m**2 - 39*m**2 wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139552 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:07 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -63*n**3 - 35*n + 35. Let g(w) = 7*w**3 + 4*w - 4. Let h(p) = p**3 + 31*p**2 + 87*p + 49. Let o be h(-28). Determine o*g(q) - 4*k(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 + 1041.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 4*a**3\/3 - 3*a**2 + 2*a - 2. What is the remainder when 11 is divided by w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322180 and 20470.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -387?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -11, 0.\nAnswer: -46, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4458 is divided by 237.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddkkddddddd. What is prob of picking 3 d and 1 k?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61, 47, 17, -35, -115, -229?\n\"Answer: -q**3 - 2*q**2 - q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-10)\/15 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 16. Suppose 0 = -29*g + 31*g - 6. Let d = 0.1 + 3.9. Which is the nearest to 1? (a) d (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 65 + -42 - (-2 - -22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42 and -2.076.\nAnswer: 39.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 154. Is (158\/i)\/(11\/44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 4. Let k be 32\/(-12)*6\/(-4). What is the smallest common multiple of o(k) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 208, 369, 562, 787, 1044?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = -4*j + 344, -4*j + 324 = 2*c. What is the highest common divisor of j and 9492?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.2312 centuries in years?\nAnswer: 69523.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (3*sqrt(152)*1 - sqrt(152) - sqrt(152)))\/(sqrt(200)*5))**2 + -4.\nAnswer: -2424\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 988269 and 516?\nAnswer: 3953076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*-3*(-1)\/(-6). Which is the fifth biggest value? (a) -19 (b) s (c) -0.1 (d) -4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3 - 111*b**2 - 213*b - 105 = 0.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -882*p. Let o(q) = 41*q. Let t(c) = 108*o(c) + 5*v(c). Let d(f) = 3*f. What is d(t(x))?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304923 is divided by 103?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 85*m**3 - 7*m**2 - 7*m - 7. Let y(n) = 43*n**3 - 3*n**2 - 3*n - 3. Suppose 5 = d - 3*s - 19, 5*d + s - 8 = 0. What is d*r(u) - 7*y(u)?\nAnswer: -46*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 equal to -469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1331) + -1 + sqrt(1331))**2 + 5*(sqrt(11)*-2*3)**2 - ((sqrt(66)*-1 + sqrt(66))*-6 + sqrt(66))\/(2*sqrt(726)).\nAnswer: -2905*sqrt(11)\/22 + 7313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598.603 hours in microseconds?\nAnswer: 12954970800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22 + 7380\/(-330) + (-169)\/(-11). Solve -m = 3*u - s, -3*u + 0*u - 5*s = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 11) to base 12\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20101100 (base 3) to base 5\nAnswer: 122103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 185*y**2 - y**4 - 2*y**3 - y + 380*y**2 - 183*y**2 + 0*y**4 as w*y**4 + s + c*y + h*y**3 + f*y**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.951411ug in grams?\nAnswer: 0.000002951411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 88 - 2*v + 84 + v**2 - 262 + 88. Let q(k) = -4*k**2 + 8*k + 8. Calculate 9*l(c) + 2*q(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 13, 10\/3, 7?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 - 41 = 9*i. Suppose 0 = 2*w - 49 + 281. Let t = 169 + w. What is the remainder when t is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11723186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -91*n. Let y(s) = 40*s**2. What is y(k(w))?\nAnswer: 331240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 24.7462.\nAnswer: -74.2386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20*9\/216)\/(6\/(-9))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5 - 2 - 9*h**3 + h**3 + 13*h**2 - 2*h**2. Let s(o) = 3*o**3 - 4*o**2 - 1. Calculate -4*b(l) - 11*s(l).\nAnswer: -l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 3) - (-31 + 27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -204156 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(2230\/(-669))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2258 divided by 2?\nAnswer: -1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(91) - 1*(sqrt(91)*-3 + sqrt(91) - sqrt(91)))\/(-5*(sqrt(63) - sqrt(2268)*-1)).\nAnswer: -2*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146841772 and 1540?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*d - 683*d = -50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 14021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 2. Let s be j(2). Suppose -s*o = -4*t - 8, 4*o + 3*t = -1 + 23. Solve -12 = -2*a + 4*k, o*a - a - 4 = -k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 12*j + 4. Let c(u) = -8*u**2 - 4*u + 14. Let i be c(0). Give x(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 806400.9 milliseconds?\nAnswer: 0.22400025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.86431 to three decimal places.\nAnswer: -0.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 8 + 62 = 0. What is the highest common factor of i and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24133568, 48267111, 72400654, 96534197, 120667740, 144801283?\n\"Answer: 24133543*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2)) + sqrt(2) + sqrt(2))**2*-5.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2460774*d*g + 29642*d + 2 wrt g.\nAnswer: -2460774*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8269.19ml?\nAnswer: 8.26919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2425602877\/104388852 + 7\/337828. Let w = f - -10\/103. What is the common denominator of 17\/10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -53*s - 249, 139 = 2*s - p + 153 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82930309 + -4.\nAnswer: -82930313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:03 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 21. Let a be 1\/5 + (-108)\/(-10). Let z(m) = m - 11. Let n(r) = a*z(r) - 6*b(r). Calculate the least common multiple of n(-6) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 3*s. What is the least common multiple of 2*-13*3\/(-6) and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348622 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 460?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(25)*2)\/(((sqrt(15)*2 + sqrt(15))*-4 + sqrt(15))\/sqrt(3)).\nAnswer: 16*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/64*-20 - 440\/(-50)?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1537, 1530, 1511, 1474, 1413, 1322, 1195?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 87. What is t(-21)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41058?\nAnswer: 2, 3, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1*sqrt(342))\/sqrt(9))\/(-1*sqrt(10)\/sqrt(5)) + 2) + -5.\nAnswer: -3*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 738 - 734 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -166, -357, -618, -985, -1494, -2181, -3082?\n\"Answer: -6*m**3 + m**2 - 152*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -30*o - 72*o**3 + 16*o**3 + 28*o**3 + 9*o**2 + 16 + 27*o**3 + 10*o. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 16. Let b = y + -7. Suppose -1 = z + m - b, 2*z - 3*m - 41 = 0. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 4*w + 5*k, 4*w - k - 353 = -79. Solve -w = -44*m + 58*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -50. What is the hundreds digit of ((-34)\/z)\/((-18)\/189)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339196 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217423*g**2 - 34723*g**2 - 27*g - 31*g + 58*g.\nAnswer: 182700*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(272) + -1 + sqrt(272) + (sqrt(272) + (sqrt(272) - -1*sqrt(272)) - sqrt(272)) + 0)*-4)**2 + -5.\nAnswer: 384*sqrt(17) + 69636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -4\/7 (c) 0.079 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 3*x**2 + 203*x - 161. Let v be w(-32). What is the highest common divisor of 176 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.23 (c) 1\/7 (d) 5 (e) 2\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {q: 3, i: 1, l: 3, o: 6, v: 3, d: 1}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 67 + (11 - (2 + 1 - 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -12*u - 24. Suppose 4*w = -3*h + 31, -2 = -4*w + 5*h + u. Solve w = -o + 2*l, -3*l - l + 8 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -0.1 (c) -2603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 424, 953, 1694, 2647, 3812?\nAnswer: 5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.5735 decades?\nAnswer: 0.035735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:18 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291 minus 66.396558?\nAnswer: -66.105558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601305134?\nAnswer: 2, 97, 3099511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 r when three letters picked without replacement from {y: 1, c: 1, r: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36876 - -29864. Let t = l - 1000738\/15. Let u = 1093\/30 - t. Find the common denominator of u and -137\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531594 is divided by 873?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -55402178 and -55402166 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 - 0.23. Let v = 1.1 - 3.6. Let z = o - v. Put -2, z, -1 in descending order.\nAnswer: z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i, 4*r - 5*i - 30 = -51. Sort 6, r, -2, 0.\nAnswer: -2, 0, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 19 = u, 188*j - 185*j - 349*u = -5229 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -475*w - 5 + 10 + 0 - 158*w - 3 in the form v + s*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 1. Suppose -3*x = -5*f - 54, -3*x - 27 = 4*f - 0*x. Let c = f - -10. Let t be 21\/3 - (5 + 4). Let h(o) = -2*o**2 + 3*o - 5. Give c*h(k) + t*p(k).\nAnswer: -2*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420 is divided by 1709.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -72. Put -2, 4, h in descending order.\nAnswer: 4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 5*n + 7. Let m(g) = -g**2 + 3. Let q be m(-4). Let d = 8 + q. Does 7 divide b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k - 250902 + 0*k + 125449 + 125453.\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.115 and 3.\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 33554.\nAnswer: 67108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 91\/911?\nAnswer: 91\/911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (594*o - 415*o + 522*o)*(1 - 1 + 1 + (1 + 1 - 4)*(0 - 5 - 2)) in the form l*o + s and give l.\nAnswer: 10515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (9\/3 - 1). Let k(y) = y**3 + 2*y**2 + 2. Let r be k(h). Solve 5*n - 14 = -r*b + 3*b, n = b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:56 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8505, -17012, -25519?\n\"Answer: -8507*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215304039\/4 or -53826009?\nAnswer: -53826009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 30. Suppose 6 = 5*t - 4*o, 0 = -4*t + t - a*o + 9. Is 1252 - (4 + -9 + t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:30 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -2387432?\nAnswer: 2387436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -595 - -590. Let g(d) = -11*d**3 - 3*d**2 + 6*d - 2. What is the tens digit of g(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 72956.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1277086 and 692.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56441 (base 7) in base 12?\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 2 + (-4)\/(-3)*-3. Let n(c) = -5*c + 47. Let b be n(k). Let i(y) = b - 7*y + 0*y - y**2 - 42. What is i(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5181 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6294, 12582, 18868, 25152?\nAnswer: 31434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 1, t: 1, l: 2, e: 1, s: 2, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/2 + 293*b**2\/2 - 239*b - 96 = 0 for b.\nAnswer: -1\/3, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**6\/3 + 9*d**5\/5 - 82*d**3 + 138. What is the third derivative of r(x) wrt x?\nAnswer: -120*x**2 + 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6936*n**3\/7 - 646*n**2 + 776*n\/7 - 40\/7.\nAnswer: 2*(12*n - 5)*(17*n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 227, 218, -27, -508, -1225, -2178?\n\"Answer: -118*m**2 + 345*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12715 + 28?\nAnswer: 12744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.036\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -13*r**4 + 2*r**3\/3 - 69*r + 115. Differentiate n(s) with respect to s.\nAnswer: -156*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68864075737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1842 + 391\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 4, b: 2, x: 4, h: 1, c: 1}. What is prob of sequence hxx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q - 27 + 15*q - 30*q - 5 - 17. Let m(d) = 9*d**2. Determine n(m(b)).\nAnswer: 9*b**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3622440666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let c(v) = 937 - 2791 + 989 + 2*v + 980. Determine u(c(y)).\nAnswer: -4*y**2 - 460*y - 13225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 170*i - 423. What is u(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12) + 2\/(-3). Suppose 5*d - 11 - 4 = r. Suppose -d*q + 0*q + 237 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/5)*r**(1\/2))**(-2\/19) assuming r is positive.\nAnswer: r**(-11\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -414523131?\nAnswer: -414523103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -13, 5 in increasing order.\nAnswer: -13, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(((a**3\/a*a)\/a*a)\/a)\/a)*a*a\/(a\/((a**5\/a*a)\/a)*a)*(a*a\/a**(-6))\/(a*a\/(a*((a*a**(1\/3)*a*a)\/a)\/a*a)))**(-1\/25))**(-34) assuming a is positive.\nAnswer: a**(1258\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = q + 287, 0 = -2*p + q + 141. Let x = 76 - p. Let j be x\/(-7)*(26\/(-6) + 5). Do 2\/7 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215908.0722 to the nearest 1000.\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 10*k**2 - 6*k - 24. Give m(6).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15456362 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 324*o + 2. Let n(b) = 55*b**2. Give n(u(m)).\nAnswer: 5773680*m**2 + 71280*m + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2)*p)\/p**(3\/7))\/((p*p**(1\/9))\/(p*p**(2\/7)*p)))**(27\/7) assuming p is positive.\nAnswer: p**(-48\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19) + -4 + sqrt(76)*6 + ((1 + sqrt(19))**2*-5 - (4 + sqrt(76))).\nAnswer: -108 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 - -129. Let r = 6 - 6. What is the closest to r in m, 5, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(670\/29145).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 348\/7 + (-2)\/(-7). Suppose -16 = -3*v + s. Suppose 5*z = 14*z + 5*z - 154. What is the highest common divisor of v and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 385 (base 15) to base 13\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:31 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8130 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8 - (-1 - -3 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/10)\/1*15\/(-2340)*-260.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*v - 76*v + 3*z + 2, 6*z - 3*z - 8 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 - 4*o**2 + 6*o + 9*o**3 + 3*o**2 - 10*o**3. What is the remainder when 107 is divided by m(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 2, f: 10, o: 1, v: 5}. Give prob of picking 1 o, 2 t, and 1 v.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3267\/110)\/(-33)*705\/(-282).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753604 is divided by 251190.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 11*u**2 - 19*u - 72. What is the thousands digit of g(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from ynyannynya.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(567) - (-2 + sqrt(567)))*2 + 2))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:38 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammdoaaaa. Give prob of picking 1 d and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3855 from 0.50002019.\nAnswer: 0.88552019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p)**(-19)*(p**(-1\/44)\/p)\/(p**(1\/4)*p*p) assuming p is positive.\nAnswer: p**(-245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, m: 1, v: 5}. What is prob of picking 1 m and 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and 590.\nAnswer: -37760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 306287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*h - 20, -5*k + 12 = -2*h + 6*h. Suppose -2*b - 6 = -2*o, 2*o - b + 4*b + k = 0. Sort o, -1, 0.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m\/(m\/(((m**(1\/12)*m*m)\/m*m)\/m)))**(-31)*(m**(-5)\/m)\/(m\/m**(-6))*(m**1)**(-14\/3) assuming m is positive.\nAnswer: m**(291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1667\/40807?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 3*m**2 + 2*m. Let v be t(2). Solve -5*s + 10 = -v*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -188. Let r = 79 + q. Solve 0*n = r*d - 2*n + 2, 0 = 3*d - n + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/2211933 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -2 - (-14 + 13 + -13).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162006 rounded to five decimal places?\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3547340 - 1913924. Let h = -6433416 + r. What is h rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284 (base 9) to base 5.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 68 - 146 + 61 = -5*v - 4*j, 0 = -5*j - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/4 + 543*d**3\/2 + 179461*d**2\/4 - 15663921*d + 832149409 = 0. Calculate d.\nAnswer: -634, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u - 9. Let y be w(-6). Suppose y*d = 2*a + 330 - 7, 3*d + 4*a - 299 = 0. Suppose -18 = -j - 3*n, 4*j - 12 - d = 3*n. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968375 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3304*c + 3304*c + 7*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 279196519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 538.600011726 + -538.6. Round n to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/306 and -163\/11628.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + c**2 + c**3 - 2*c**3 + 3*c**4 + 176*c - 180*c to the form b + p*c**2 + z*c**4 + k*c + w*c**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 544591.\nAnswer: 80\/544591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*c - 30, c + 3 = 4*a - 2*c. Suppose 4*t + a + 1 = 0. What is the nearest to -2\/35 in 0.4, -4\/7, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**3 + 29804 - 29804.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -123 (c) 0 (d) -5 (e) 0.4 (f) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 3. Let m = 280.769 - 281. Let d = -0.069 + m. Which is the nearest to h? (a) 0.1 (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 497*r - 276. Let h be n(1). What is the greatest common factor of 136 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1709, 2, 1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83496 divided by -392.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*z + 4518 = -321*z - 488*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5708888305094.05999974 - -5708901738587.31. Let y = d + -13433493. Let q = y - 0.25. What is q rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, o: 2, l: 8, g: 1, t: 1, v: 1}. What is prob of picking 2 f and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 12. Let d be 0\/1 - -1 - 1. Suppose n + 8 = 2*p + 2*p, d = -n - p + 12. Let i be o(n). Solve 6*h + i = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -60*s**2 + 109*s - 215. Give r(2).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(-133)\/1197.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003258171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 130*x + 1144. Let h(t) = -29*t - 286. Calculate 9*h(a) + 2*q(a).\nAnswer: -a - 286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - -0.253. Round y to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 - 10*i - 2. Let h be l(9). Suppose 2*k + f - 21 = -0*f, 4*f = 5*k - 20. Let v = k + h. Let r(d) = -2*d**2 - d + 3. Determine r(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1532.\nAnswer: 13788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/32 - -2)\/(192\/1536)*(28 + 6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5800 (b) -2\/5 (c) -20.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*z - 38, 5*z = 2*z + 12. Suppose 3*p = -2*p + h. Solve 6*u = p*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 14*z + 19. Let x be u(-15). Suppose b = -4*p + 28, -4*b = 2*p - 10 - x. Find g such that 5*g**2 - p*g - 4*g**2 + 5*g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-400) - 1190\/(-3500))*((-14)\/(-20) - 1)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27019490 to the nearest integer?\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 13*r - 6. Let x(z) = 4*z**3 + 25*z - 11. What is 5*d(t) - 3*x(t)?\nAnswer: -2*t**3 - 10*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -636872100 to the nearest 1000000.\nAnswer: -637000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7518 and 15271410?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*k - 16 - 49, -2*k = 3*c + 41. Let q = 42 + k. Suppose -6 + q = i. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5469 from 748.358912.\nAnswer: -4720.641088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.09, 0.05, -1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -2)*(-3)\/5. Find the third derivative of 5*v**3 + 3*v**2 - u*v**3 - v**4 - 2*v**3 wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 2237 + 423. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 13. Let m be f(11). Let o be (-1 - m)*(-15 + 14). Let x be 400 - (1\/1 + o). What is x rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/6)\/((-1)\/(-18)). Suppose -391 = 34*g + 23 - 6. What is the smallest common multiple of 8 and ((-3)\/(-5))\/(g\/x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 + 2*x - 10. Let j(o) = 17*o**2 - 6*o + 30. Determine 4*j(k) + 11*l(k).\nAnswer: 2*k**2 - 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, -24 in descending order.\nAnswer: 2\/5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133190.\nAnswer: 2, 5, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 196*t**2 - 2807*t - 150350. Give v(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2625*l + 57*l**2 + 3235*l - 272*l**2 + 214*l**2 to the form t*l + v + r*l**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 167*k + 2. Let y(m) = 167*m + 2. Suppose -18*z + 19*z + 3 = 0. Let j(t) = z*o(t) + 4*y(t). Is j(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995531926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -3*p**2\/2 + 18*p + 17. What is the first derivative of n(d) wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101.4 - -603.4. Let c = 502.00415464 - -0.01594536. Let o = l - c. What is o rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 2*d**2 + 0*d**2)*(d - d - 2*d**2) + 2*d**4 + 0*d**2 + 0*d**2 - 1 + 2*d**4 + 1 + (56*d**2 - 50*d**2 + 102*d**2)*(-5*d**2 - 5*d**2 + 5*d**2).\nAnswer: -534*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18981.48 years?\nAnswer: 1898.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnkqqqkkkkqckkcqkkk. Give prob of sequence nc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - -5*sqrt(153)*-2))\/((sqrt(12) - sqrt(3))*-1))\/(-4*sqrt(432)*1*-1).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4995 by 135.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 12 + 30. Is k < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m, 0 = 23*u + 22*m - 10*m - 15*m + 69 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, 471 in increasing order.\nAnswer: -2, 35, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 21. What is the smallest common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 633*y + 5078. What is x(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -28, 1.4, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.002 + -0.198. Sort z, -2, -0.4 in decreasing order.\nAnswer: z, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 + 3. What is t(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 280\/(-36) - 6\/27. Let v = 5.839 + -5.9. Let s = v + -0.239. What is the third biggest value in -4, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6965 - 165 = 425*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*p*q**2 + 49*p*q - 386*p + 99*q**2 - 863 wrt q?\nAnswer: 42*p*q + 49*p + 198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 250096?\nAnswer: -250125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 40*j + 1. Let k(a) = -16*a - 269. What is the remainder when k(-27) is divided by q(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 132*o.\nAnswer: 4*o*(o - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 18 - 5*r + 28 to j + v*r and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(300)*-2 + 5 - (sqrt(300) + 0 + -5)**2 - (0 + -4 + sqrt(300) + 1)**2).\nAnswer: -3774 + 840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3959, 5, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 11*q + 1. Let z be x(11). Is 163 + -1 + -2 + z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 s when four letters picked without replacement from uussssssscssscssc.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z - 2. Let u(m) = -9*m + 3. What is 5*b(j) + 3*u(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 2*t + 7, -6*t = -5*t - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 214711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 - 91*x**2 + 93*x**2 + 5*x + 1 + 0. Calculate v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115939?\nAnswer: 269, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 466644\/7, 31\/5, -0.2?\nAnswer: 466644\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/30 and -71\/560?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**6\/135 + t**5\/90 - t**4\/18 - t**3\/27 + 2*t**2\/9 - 40*t. Determine l, given that a(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1447, 1530, 1677, 1888, 2163?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - h - 4 = -3*t, 4*h = 5*t - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*q - 436*q = 1311. Solve 0 = -27*l - 120 - q for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Let h = 12.78 + -1.48. Let i = -11 + h. Which is the third biggest value? (a) i (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 34. Let l = 352493.6 + -352494. Which is the nearest to 0.9? (a) 5 (b) l (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 22*l - 2. Let g(b) = b**2 + 8*b + 2. Let z be g(-8). Let h be c(z). Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -94*m**3 - m**2 + 198*m - 573. Determine h(3).\nAnswer: -2526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.25 rounded to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 - z + 9. Let n be t(8). Is (-1 - -2)\/n*251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:01 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 47.03. Let q = 153 - 154.03. Let n = p - q. Which is the closest to n? (a) 2\/15 (b) -1\/2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 205504*t + 1. Let h(k) = 1136*k. Give y(h(d)).\nAnswer: 233452544*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4337 divided by -15848\nAnswer: 4337\/15848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 60*y**2 - 3648*y + 18218. Calculate m(5).\nAnswer: 1478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/37, 9, 49\/3, 0, 2\/9, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(78)\/((sqrt(210)\/sqrt(5))\/sqrt(7)) + -1).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 + 9*p**3 + 28*p**2 + 6*p wrt p.\nAnswer: -24*p + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 473*b**3 - 2270. Let a(v) = 2*v**2. Calculate j(a(k)).\nAnswer: 5676*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let c(j) = 2*j - 101. Calculate c(o(h)).\nAnswer: 2*h - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.00458 millennia to decades.\nAnswer: 7800.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 101*s**2 + 271*s + 60. What is the remainder when r(53) is divided by 308?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 11 = 86*b - 85*b, -2*b = -2*k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -14.\nAnswer: -14, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/(-24) - 10) + ((-78)\/9 - 3).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 8*v - 1. Let n be r(-8). What is the second biggest value in -5, -2\/11, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*c + 45*c + 39*c + 35*c + 48*c + 37*c + 42*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(3\/2)\/q)*q)\/q*q)**35 assuming q is positive.\nAnswer: q**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:01 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 15 (c) 4\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*l + 2*t, -3*l + 5*t - 79 = -5*l. Solve 5*u - 4*h + l = -5*h, -12 = 2*u + h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -16, -0.1, 0.3, -23, -2 in increasing order.\nAnswer: -23, -16, -2, -0.1, -0.01, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -970 + 973. Suppose -2*y = -y. Solve -n + y = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 + -1.84. Which is the second smallest value? (a) x (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*c**3 - 98*c**2 + 6*c - 97 wrt c?\nAnswer: -36*c**2 - 196*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*h + 6 + 0 = 0, 2*h - 13 = -3*j. What is the second derivative of 9 + 6*q + 0*q**5 + 9*q**j - 9 wrt q?\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 <= 56\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3 (b) 43 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 6. Suppose -u*n = -2*n - 28. Suppose 3*x = x + 2*s + n, 10 = -2*s. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -2 + 0)**2.\nAnswer: -12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 16*w - 4*w + 383 - 299, 0 = -o + 5*w + 38 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -33 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10671946 to the nearest integer?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from sssossososo.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 12:58 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-8)\/12 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 + 250 = 250*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)\/(2\/4190). Suppose g + i - 710 = 3*i, -n = -3*g - i. Suppose 6*j - g = j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447717 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjv when three letters picked without replacement from {v: 2, z: 12, j: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 23. Suppose -5*s + 57 + 8 = -4*y, -2*s + g = 2*y. Suppose -h + s = -16. Calculate the highest common factor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 - 3*t. Let b(f) = -4*f**2 - 2*f. Let p(z) = -3*b(z) + 2*v(z). Let s(x) = 4*x**2. Calculate p(s(u)).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -236.95 * 0.274.\nAnswer: -64.9243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2434 divide 132623792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492707801?\nAnswer: 577, 853913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 2*t - 2. Suppose d = 5*w + 40 - 17, 5*w = -3*d - 31. Let o(u) = 48*u**2 - 33*u - 33. Give d*o(z) + 33*k(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.123, -23, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 146, 1\/4 in ascending order.\nAnswer: -4, -3, 1\/4, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14145 - 14145.1. Sort 1\/166, 33, y in descending order.\nAnswer: 33, 1\/166, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374377 = -9259*g + 320048 for g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - (-26 - (-1206)\/72). Is -15895 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927787, -1855747, -2783707, -3711667, -4639627?\nAnswer: -5567587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244473931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*c**3\/3 + 76*c**2\/3 - 656*c\/3 + 128\/3 = 0. What is c?\nAnswer: -8, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:40 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a*a**(15\/8)\/a*a)\/a*a*a*a)**(3\/5)\/(a**(-2\/7))**(-26\/5) assuming a is positive.\nAnswer: a**(739\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*q**3 + 9*q**3 - 17 - 12*q**3 - 4*q**3 with respect to q.\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*d + 333*d - 237*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Suppose -h = 3*y - 38, 2*h - 5*y - 126 = -y. Let k = -372\/7 + h. Which is the closest to u? (a) 0.2 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 + 9*a + 5. Let p be q(-3). Suppose 4*s = -5*l + 984, 2*s - 985 = -p*l - 3*s. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 9. Let b = -22 + 15. Let q(j) = -j + 8. Determine b*q(t) + 6*r(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 6*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.71 - -0.29. Let u = h - 15.09. Let j = u - -3.09. Which is the third biggest value? (a) 2 (b) 0.03 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -780498 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20511 is divided by 108?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 176012 at least 175942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-4 + -16) - 5 - -28) + -9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 18, -4, -3479 in decreasing order.\nAnswer: 18, -4, -11, -3479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9926711 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.286 - -14.82. Let f = 2.026 - 2.26. Let p = u + f. Round p to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -50318, 3, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/2523 - 1684\/2523. Sort -143, -4, p, -5 in descending order.\nAnswer: p, -4, -5, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.923707 to 2 decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**2\/2 - 27*k + 6. Let i be v(-11). Let x = i + 35. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80)\/(2*sqrt(10)))\/(2*-2*sqrt(4)) + -1)**2.\nAnswer: -63\/32 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4284)\/(-294)*((-21)\/9)\/(-1). Suppose -k - 41 + 10 = 0. Let q = a + k. Solve -4*c + 5 = -q*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 2. Let q = j + 11. Let y = q - 7.1. Put 2, 3, y in increasing order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -8, -2, 4, -38 in increasing order.\nAnswer: -38, -8, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.87 + -24.87. What is the biggest value in 2\/3, 2\/11, z, -0.8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740496 is divided by 92?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39\/44 - -40\/11. Let p(n) = -3*n**2 - 11*n. Let t be p(-4). Let v be t\/(-3)*6\/(-28). Put l, 1\/6, v in ascending order.\nAnswer: v, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793251?\nAnswer: 1793251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5 (c) 7 (d) 1121\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -64) + (-117 - -87).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose z - h - 2*h - 36 = p, -3*z - 3*h = -84. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6 - 3)*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (-5 - 15) - (23 + 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 10 = -49. Let l be (-2 + 2)\/(-2) + d. What is the remainder when 2744\/91 + (-2)\/l is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 1572127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 410860 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 536423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 2 - 4 - -29. Suppose -9529 + 3303 = -c*a. List the prime factors of a.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*-3*2*2\/(-24)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 49 - 63 = -3*j, 5*j = -2*w + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7725711260 to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037288 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -2\/9, 46\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 0*n**2 - 12\/7*n**7 + 7\/4*n**4 + 61 + 0*n**5 + 70*n**3 + 0*n + 0*n**6. Find the third derivative of i(b) wrt b.\nAnswer: -1440*b**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -385 <= -55601\/144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from sscscno.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-24)\/(-36)))\/((-3)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10838783 to the power of 1\/2, to the nearest integer?\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*35\/2 + 2\/4 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*b + 9, 3*b - 5*s - 1367 = -1355 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 19*y**2 - 22*y - 95. Determine o(-18).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/55784169 and -89\/15938334?\nAnswer: 111568338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1387*s**2 + 11*s + 7. Let v be b(-10). Let o = v + -76597. What is o rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -1079?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(363)*-2 - sqrt(363)) + 4 - (-1 + sqrt(363) + sqrt(363) + 0 + 2 + sqrt(363))) + -5.\nAnswer: -66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 3*o = 32. Put 5, 1, 8, o in descending order.\nAnswer: 8, 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5 + 0*a - a + 2. Suppose -4*o + 2*o - 12 = 0. Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3732288 - 49.\nAnswer: 3732239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1691\/3 + -557. What is the common denominator of -35\/9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32418 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s - 8 + 11 - 2*s**2 - s**2 + 2*s**2. What is x(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 6667?\nAnswer: 6667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - 5*r**2\/2 + 6*r - 20730. Suppose 21 = 5*p + 1. What is g(p)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -1386879\nAnswer: 2219006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**7\/315 - w**6\/90 + w**5\/90 + 7*w**2. Factor v(f).\nAnswer: 2*f**2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -23*m**9\/504 + 2*m**5\/15 - 19*m**2. What is the third derivative of u(l) wrt l?\nAnswer: -2760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m - 3*m + 7*m)*((m - 3 + 3)*(-6 + 1 + 4) - 4*m + 0*m + 8*m).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000012871566 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*z = -16, -26*m + z = -27*m. List the prime factors of (m - (-4 - 10\/25))*200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddggd. Give prob of sequence dggd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f - 4\/3 - 2\/3*f**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 146. Let p be z(-36). Factor 0*d + 2\/9 - 2\/9*d**p.\nAnswer: -2*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) -2 (d) 173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**2*y**3 + n**2 + n*y**3 - 3*y + 11 wrt y?\nAnswer: -9*n**2*y**2 + 3*n*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 162*o + 10470. What is v(-66)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**2 - 11*u**2 + 30*u**2)*(3*u**2 + 12*u**2 + 19*u**2) in the form x*u**4 + j*u + p + s*u**3 + t*u**2 and give x.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87500, 84937, 80666, 74687, 67000?\n\"Answer: -854*y**2 - y + 88355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 + 36. Let l = 170 + t. Sort l, -0.5, 1\/2 in increasing order.\nAnswer: l, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*o + 1266 = -33*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 828456.3s in nanoseconds?\nAnswer: 828456300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408403843 a multiple of 5544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.406 less than 3\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 32 = 8*k. Solve 3*w + k*w = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**2 - 30*u + 267. Determine s(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 150777409?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1084)\/6 + (-14)\/(-21). Let h = q + 283. Suppose 4*r - 249 = h. What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z + k = 0, -5*k = -2*z. Let t be (-6)\/(-2) + -9 + 8. Suppose z = t*b - b. Sort b, -5, -3 in ascending order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349 + 298. Let s = 154 - g. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28, 4 in decreasing order.\nAnswer: 4, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -2*d**5\/5 + 4*d**4 - 4*d**3 - 40*d**2 - 50*d + 30. Find g, given that r(g) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 19, 0.3, -1038, 4 in increasing order.\nAnswer: -1038, -6\/11, 0.3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 7*w - 4. Let r(s) = -s - 1. Let v(p) = -q(p) + r(p). Let t be v(-6). Suppose t*u + 43 = 4*u. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2, 0, -2\/3, -1 in descending order.\nAnswer: 2, 2\/7, 0, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 - 7*a**2 + 4*a + 2. Let x be h(1). Calculate the greatest common divisor of x and 104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uububuuussbu. What is prob of sequence bsb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*c - 3*c. Let k be (-5 - -3)\/c + 1. Solve 4*z = k*f, -4*z - 3*f = -2*f - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -121245, -242441, -363641, -484845, -606053, -727265, -848481?\n\"Answer: -2*a**2 - 121190*a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 86. Suppose h = -h + z. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -0.3, -0.5, -3.48 in descending order.\nAnswer: 0.17, -0.3, -0.5, -3.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.8 + -13. Which is the nearest to r? (a) -1 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 413*m**2 - 3995*m + 14104. Give k(-403).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4 - 4, 5*d + p = 11. Suppose -a + 2*i + 1 = 0, d*a - 2*i - 21 = -5*i. Solve a*x - 4 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4200 and 4317642?\nAnswer: 431764200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 4*i - 24, -3*i = 2*r + 7. Suppose 5*q = r*a - 0 + 5, q + a - 1 = 0. Let j be (-1 - 0) + (-16)\/(-18). Sort 1\/8, j, q in ascending order.\nAnswer: j, 1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 + 0\/3. Let w(y) = -y - 9 + y**2 + 8 + 0 - 2*y**2. Let n(m) = -5*m**2 - 3*m - 3. Let h(f) = t*w(f) - n(f). Let c(j) = -6*j. Determine c(h(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 186 = 12*n. Suppose 4*i + f + n = -f, 3*f - 12 = i. Let y be i\/(0 + -5) + 0. Solve 0 = -2*z - 9 + y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -712, -1861, -3482, -5581?\nAnswer: -8164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(4 - -2 - 1). Suppose t = -4*i + 5. Let m(g) = -g**2 - 6*g. Let u(d) = d**2 + 7*d. Let c(z) = i*u(z) - 6*m(z). Determine c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13883 by -3030.\nAnswer: 13883\/3030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*116*(-30)\/(-96))\/((-820)\/1312)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = l, 3*n + 2*l - 53 = 0. Does 33 divide 124 + (45\/n)\/(1\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 * 2\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4942 + -4928. Solve 0 = a*h + 12*h + 26 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 366 + 1261?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 0*w**3 - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*s + 48137 = 48120, 3*x = -4*s - 12 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2657*f. Let v(d) = 15446*d**2. Calculate r(v(y)).\nAnswer: -41040022*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1264 - 5616 = 0. Is h a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 7*g**2 + 5*g - 16. Give x(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1995897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = 168 + 41. Let n(j) = j + 14. Determine n(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-10) - 2\/(-5). Suppose -3*k - q = -23. Solve -24 = 5*p - 4, 5*i - k*p = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:47 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 625 - 619. Solve -11*m + i*m = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -18 - 24*k**2 - 6*k + 15*k**2 - 1 - 2*k**3 + k**3. Let g be a(-9). Let m = 75 - g. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 2691 = -3*b. What are the prime factors of b?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 220.93.\nAnswer: -66.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*t - 3 - 5*t.\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 59 and 70.68.\nAnswer: 129.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylll when four letters picked without replacement from lytllyyyyyttyyttl?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 4900*i - 151500.\nAnswer: 5*(i - 30)*(i + 1010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2, 0.5, 4, 2\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -37*r**6\/60 - 203*r**4\/24 + 88*r**2. Find the second derivative of b(w) wrt w.\nAnswer: -444*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322073 is divided by 16895.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*l + 5 = 0, 3*a - 70624*l = -70629*l - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -2, -5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = -4*w, -f + 10 = 3*f - 2*w. Suppose -4*b + y = f*y - 48, -y = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 175116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 68*s. Let k(q) be the first derivative of -q**3 - 2080. Calculate k(t(z)).\nAnswer: -13872*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 191272.5 micrograms?\nAnswer: 191.2725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(10\/7)*m**(-22))\/(m**11\/m)**37 assuming m is positive.\nAnswer: m**(-2727\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q + 4. Let t(p) be the third derivative of p**4\/24 + 2*p**3\/3 + p**2. Calculate the remainder when t(7) is divided by h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7943, 1, 2 in decreasing order.\nAnswer: 2, 1, -7943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -1, 5 in ascending order.\nAnswer: -1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -549*c. Let f(j) = 2*j. Give g(f(r)).\nAnswer: -1098*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 32. Let l be i(30). Let s be l\/12 + (0 - 5\/30). Solve s = 7*g - 0 - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = -76, 13*i - 31*i = -21*i - 3*v + 18 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 4*s + 4. Let u be p(-6). Let k be (4\/18)\/((-6)\/(-9)). Is u <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 1, e: 1, x: 2, j: 2}. Give prob of sequence xmj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:07 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8826 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3\/2 + 4955*p**2\/2 + 788000*p + 78782270.\nAnswer: 5*(p + 203)*(p + 394)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, 0.336, 3, -2 in ascending order.\nAnswer: -2, -2\/5, 0.336, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 2*q = 3*y + 13, -3*q = -2*y - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7655459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbggbggmmmmgbg. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63810 by 5.\nAnswer: -12762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 16*h - 60. Give y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76899 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*w + 6*w + 10*w)*(-3*w - 4*w + 3*w)*(-5 - 5 + 4).\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 = -345*m + 423*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 90*p**2 - 100*p**2 + (p - p - 2*p)*(3*p - p - p).\nAnswer: -12*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:01 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -447, -254, 301, 1338, 2977, 5338?\nAnswer: 8541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 27. Suppose -2*m + 30 = -4*w, 33 = c*m - 0*m - w. Calculate the remainder when 66 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 141?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 925*q - 8556021\/4.\nAnswer: (q - 5311)*(q + 1611)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 1112*o**2 - 7744*o + 7. Determine i(7).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4))\/((-3304)\/(-15104)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = -15*c + 440525. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 201 - 24\/(-84)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.62452 litres?\nAnswer: 3624.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99789540 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: Calculate ((-272)\/(-40))\/(68\/(-170)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 4*k**2 + 47*k + 58. Let m be g(-5). Calculate the highest common factor of 175 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 44. Find the common denominator of -41\/2 and -5 + 5 + g\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1096*f - 15792. Does 24 divide c(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -1\/24*w**4 + 0 - 9*w**2 + 0*w + 1\/6*w**3. Determine p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5 + 0 + 145*u + 14 - 1 - 133*u. What is q(6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90364 divided by 12.\nAnswer: -22591\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 - 16 = -4*r, 5*r = -5*f + 20. Suppose 2*p + 3*y + 2*y = 15, -2*p + 4*y - 12 = 0. Solve p = -0*z + r*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 5. Let o be v(1). Let f(x) = -6*x + 22. Let z be f(o). Suppose z*a - 852 = -5*q, a - 189 = 3*q + 7. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 26*n**2 + 24*n - 72. Determine c(-12).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 8 + 7 - 3*o)*(-o + 4*o - 2*o).\nAnswer: -3*o**2 - 47*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*j - 52 = 0, -k + 4 + 9 = 4*j. Let s = -14 + k. Which is the nearest to s? (a) 2\/11 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)*((w*w\/(w**3\/w*w)*w*w)\/w)\/w*w assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(156) + -4*sqrt(156))*-5)\/(sqrt(768)*-2 - sqrt(768)))**2 + 4.\nAnswer: -5*sqrt(13) + 1605\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = 6. Suppose -f*m - 14 = 5*m. Let r be 1 - 1 - (-3 + m - -4). Is r <= 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2776 = -2*t - 2*f - 2*f, 5*t - 2*f - 6928 = 0. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -116*w - 691. Let y be l(-6). Factor 5\/2 - 5*k**3 + 5\/2*k**y + 5\/2*k**4 + 5\/2*k - 5*k**2.\nAnswer: 5*(k - 1)**2*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27344 + -27363. Let s(p) = -p**3 - 18*p**2 + 21*p + 22. Give s(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j - 3. Let l(z) = 1. What is g(n) - 5*l(n)?\nAnswer: -7*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 789, -1, 1, 3, 4, -16, -2 in decreasing order.\nAnswer: 789, 4, 3, 1, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-4 - ((16 - 34) + 26))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 23. Suppose 7*a = u*a + 4*k + 47, 2*a = -3*k + 5. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49404*x**4 + 30903 wrt x.\nAnswer: 197616*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 236263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - r = -11880. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -q - 2*y + 1803, 0 = -y + 2. Suppose 7*t - 6*t = q. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 - 6*u**2 + 373.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 171499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012147 rounded to seven decimal places?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2385 + -2408. What is the smallest value in -3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 1, t: 2, h: 1}. Give prob of picking 1 c, 1 t, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = l - 228. Suppose -6*r = -r + l. Does 17 divide r\/(-2)*24\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-63) + ((-7)\/(84\/(-128)) - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 1.1. Let x be ((-8)\/(-4) + -3)\/(-1). Let k = 12 - 7. Which is the nearest to k? (a) 4 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 10*o**2 - 16*o - 1. Let w be f(-8). Let r be (w\/(4 + -8))\/(21\/112). Solve 4\/3*g**2 + 4\/9 - 4\/9*g**3 - r*g = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -x + 16, 44 - 19 = -5*x + 5*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (725\/(-25) + 31)\/(5 - 18)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 21*i**4\/4 - 500*i**3\/3 - 621*i**2\/2 - 100*i + 697. Factor c(t).\nAnswer: (t - 25)*(t + 1)*(21*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2436 rounded to one dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by -49.\nAnswer: -104\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3670043228 rounded to four dps?\nAnswer: 0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(3\/8)*p)\/(p**(-1\/7)*p*p))\/((p*p\/p**(2\/5))\/(p\/((p*p**(3\/2))\/p))))\/((p*p**(-5)*p)\/(p**(-3\/2)\/p))**(-33) assuming p is positive.\nAnswer: p**(-5063\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*p - 164632 = 0, 231*z - 228*z - 2*p - 123477 = 0. What are the prime factors of z?\nAnswer: 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) - (-16)\/42. Let l = -7 - -6.92. Let z = l - 0.32. What is the nearest to -1 in z, c, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3 + 2. Let w = 3 - l. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -191 - 625. Calculate the remainder when 64 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24063649786 + -24063649799.099999469. Let y = j - -13.1. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0651254 + 269.4921254. Let t = 270 - v. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11930 (base 13) to base 12.\nAnswer: -16852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:29 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 48. Which is smaller: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/18 and 11\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-15)\/(-9))*-3. Suppose 0 = t*p - 4. Let i = p - -1. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 677, 1529, 2723, 4259, 6137, 8357?\n\"Answer: 171*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125916709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -119.9701?\nAnswer: -107.9701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 81 + 923 = 4*a, 0 = 4*a - p - 846. Calculate the highest common factor of 53 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -76. Let t = -80 + w. Let g be (-1)\/2 + t\/(4\/(-375)). What is g rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018737 to 5 decimal places.\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 21 = -11*g. Let r = -58 + g. Let w be (4\/(-2) + -51)*1. Is r equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 428, 411, 388, 359?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 15. Suppose 5*y - 18 = -3. Solve -2*u + 2 = 2*b, y = 4*u + 3*b + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 + 15. Let j be 2\/(-8) - (-516)\/16. Let h = o + j. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, 0.5, 1, -5, -8\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -883 - 248*n**2 + 1762 - 877 to the form k*n**2 + j + o*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4172 - 54194\/13. Calculate the common denominator of i and 1\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14002, -27021, -40040?\nAnswer: -53059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10100 (base 2) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 13*k**2 - 9*k - 28. Suppose -5*p + 243 = 4*p. Suppose 39 = s + p. Calculate the least common multiple of n(s) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5))**(-2\/45)*u*u**(-15)*u**(4\/15)\/u*u assuming u is positive.\nAnswer: u**(-3092\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.613 (b) 55 (c) -1 (d) -2\/7 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m - 3. Let p be w(0). Let u(d) = d**2 + 5*d + 4. Let r be u(p). Let v = 9 + -9.3. Sort r, -4, v in descending order.\nAnswer: v, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93148733 + 52493978. Let i = m - -40655102.99737. Let o = i + -348. Round o to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -609, -2514, -5711, -10224, -16077, -23294, -31899, -41916?\n\"Answer: -4*o**3 - 622*o**2 - 11*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26096 by -2.\nAnswer: -13048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 92, 196, 342, 530, 760, 1032?\n\"Answer: 21*z**2 - z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 116, 380, 842, 1508, 2384, 3476, 4790, 6332?\n\"Answer: o**3 + 93*o**2 - 22*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38591.\nAnswer: 7, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 77. Let m be l(18). Which is the third smallest value? (a) -0.1 (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*w**4 - 68*w**4 - 63*w**4 + (-3 + 2*w + 3)*(5*w**3 + 2*w**3 - w**3).\nAnswer: -61*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) + -5*(-26)\/(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 926676 and 216?\nAnswer: 5560056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403119083 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 1992 = -5*v. Suppose v*n = 170*n - 1320. Calculate the greatest common divisor of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-8 - -3) - (1 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194\/11, -2\/1003, 17 in decreasing order.\nAnswer: 17, -2\/1003, -194\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 383, 41, -473, -1159, -2017, -3047?\nAnswer: -4249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -21*b**2 - 16*b + 6. Let f(d) = 22*d**2 + 17*d - 4. Suppose 3*t + 6*t = 18. Let k(v) = t*c(v) + 3*f(v). Find the second derivative of k(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 498 - 4499\/9. Let r = 1096\/99 - 79\/11. Find the common denominator of r and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -437 + 433. Which is the second smallest value? (a) 0.5 (b) k (c) -3\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*z**3 + 259*z**3 - 1193*z**3 + 250*z**3 + 240*z**3 + 284*z**3.\nAnswer: 93*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 2, -2, -1383, -182 in decreasing order.\nAnswer: 2, 0, -2, -15, -182, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-6)\/(-90)). Sort z, 9, 3 in increasing order.\nAnswer: z, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76135 or 8389?\nAnswer: 8389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1289*a**3 - 7*a**2 + 7*a + 6. Let f(m) = -859*m**3 + 5*m**2 - 5*m - 4. Give -7*f(o) - 5*q(o).\nAnswer: -432*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1737 = -5*p, 4*p = 13*d - 16*d + 5135. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q - 13. Let c = 1 + q. What is the second biggest value in c, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121229 - 69678. List the prime factors of i.\nAnswer: 51551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from anlplnaaan.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -1, 0.064, -0.035, -2.29?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 6*i**4 - 4*i**3 + 5*i**4 - 2*i + 4*i**3 in the form p*i**4 + l*i**3 + n*i + c*i**2 + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3918 + 1170. List the prime factors of h.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 8 = 3*h. Let b = 11 - -3. Solve 3*s = -5*p + h, 3*s + 4*p - b = 6*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -19. Suppose 0 = 5*o - 2*c - 0 - 3, -5*c = -s*o - 1. Is o < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1082*v - 56*v + 470*v**2 - v**3 + 468 + 201*v.\nAnswer: -(v - 468)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-5 + 0 + sqrt(567) - sqrt(567))**2 + (3*sqrt(567))**2 + -1 + 1*(2 + sqrt(567)).\nAnswer: 9*sqrt(7) + 5032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + ((-2 + sqrt(1008))*4 + sqrt(1008) + -4 - 1*(sqrt(1008) + 0)*-5))**2.\nAnswer: -302700 + 7200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (85\/10 + -2)*28. Suppose -q - 83 = -5*a. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1 - 5. Put -5, 1\/3, -0.1, m in descending order.\nAnswer: m, 1\/3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2\/(-1)) + 91. Suppose 2*u = v + 18. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8212 - 16421\/2. Put 1, 3, l, 2, 60 in descending order.\nAnswer: 60, 3, 2, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 5*d, 3*x + 8 = 5*x + 3*d. Let r = x - -2. Solve -q - 5 = r, -4*g + 0*g - 5*q = 29 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7 - 0) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -257, -769, -1509, -2477, -3673?\n\"Answer: -114*h**2 - 170*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, u: 6, w: 1, d: 4}. Give prob of picking 1 w, 1 u, and 1 d.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 + 1377. Let l = 133 + x. Round l to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -46. Solve 3*x + x - 4*g - 8 = c, 5*g = -2*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7.2. Let w = 7252 - 7252.2. Which is the second smallest value? (a) -2 (b) k (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52.3 + -50. Let i = -0.7 + o. Let g = 1.2 - i. What is the closest to 0 in 0, -1\/7, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*t + 19 = 6, -2*t = 4*r - 10. Let v = r + 3. Let f(k) = -k + 1. Determine f(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1332377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2. Let x(q) = -20*q - 7 + 18 - 4 + 1 - 10. Give j(x(d)).\nAnswer: 1200*d**2 + 240*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(539) + -2 + sqrt(539) + -4))**2 + -1.\nAnswer: -168*sqrt(11) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 5*s**3 - 5*s**3)*(41*s - 36*s + 18*s) - s**2 + s**4 + 3*s**2 + 0*s**4.\nAnswer: -22*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 613*k - 19. What are the prime factors of i(3)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 7. Let b be v(6). Let z = -12 - b. Find the third derivative of -69*d**2 - 1 + 1 + z*d**4 + 72*d**2 wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 3*z**2 - 63*z + 416. What is b(6)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 17 = 3*s, -o - 2*s = 2*o + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1272 times -0.4\nAnswer: 508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 428245807 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -0.5, 43, 4 in descending order.\nAnswer: 43, 4, -0.5, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(52)\/sqrt(4) + sqrt(52) + sqrt(52) + 0 + sqrt(52) + sqrt(13).\nAnswer: 5 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 + 112*g + 116 = 0. Calculate g.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10392 and 4.\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 10*a + 17. Let g be k(-8). Suppose -3*z + 6 = -0*z. What is the greatest common divisor of g and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - 5 + 9*i - 1 - i**3 + 8 + 5. What is n(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 69 = 11*d, 10385*d = -3*r + 10382*d - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170304891941\/396 - 430063191. Let n = -2071\/36 + j. Let q = -389 - n. Find the common denominator of q and 34\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212607269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-7) + 8550\/(-5985))*(1 + (-4)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -745\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -40871.\nAnswer: -40880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371 + 440. Solve -77*w = -i*w + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 30 = 5*r, 2*r + r = -4*g + 18. Let m be (1\/5)\/((-2)\/r). Put m, 0.4, -1\/8 in descending order.\nAnswer: 0.4, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 282*n - 1246 = 284*n, 0 = -2*n - 6. Does 50 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/126 + (-8094)\/(-27). Let w be 4\/(-8) - (-1249)\/4. Let g = s - w. What is the common denominator of -3\/16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0348 - 0.1017\nAnswer: -0.0669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -35*p**2 + 4*p. Let h(t) = -3*t**2. Give -3*h(n) + j(n).\nAnswer: -26*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34980 and 211470.\nAnswer: 4652340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) 51 (c) -1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166919 and 1.\nAnswer: 166919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 8*d**2 - 65*d + 315. Determine n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.52262ml in litres?\nAnswer: 0.09052262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(-207)\/126 - -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2902?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkpohppz. Give prob of sequence oz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0961*-18.\nAnswer: -1.7298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 15. Let j(m) = 5*m - 2. Let c(n) be the first derivative of 3*n**2 - 2*n + 3. Calculate f*j(r) - 4*c(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62362290 a multiple of 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (234 + -233 - (-21 - 0)) + -22 - 75\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.7500010002 - -46.75. What is t rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 4. Let s be a(-6). Let b be (110\/(-3))\/(s\/3). Calculate the greatest common factor of 22 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 612, 10 in decreasing order.\nAnswer: 612, 10, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = -5*i + 200, 303*w - 299*w + 3*i + i - 40 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 656 - 681.1. Let a = c + 25.0083. Round a to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-1 - (sqrt(240)*-1)\/sqrt(12))\/(6*-1*sqrt(10)*-5).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.2*1063894.\nAnswer: -18298976.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 3238*y**2\/3 - y\/3 - 3238\/3.\nAnswer: (y - 1)*(y + 1)*(y + 3238)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 16.3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 (base 11) in base 6?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60084480 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - 0.3. Let y = -2.8 - b. What is the third biggest value in y, 3\/5, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71688*i - 143409*i + 71721*i - 147*i**3.\nAnswer: -147*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 0, 2, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 3\/2, 1, 3\/128, 37.6?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 902*a + 1 - 575*a + 1045*a + 3 + 579*a to t*a + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.93 - -0.9. Let y = r + 3.03. Let a = 0.1 + -0.2. Sort 0.4, a, y.\nAnswer: a, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-12))\/(168\/104). Let w(q) be the first derivative of f*q**4 + 18 + 8\/7*q**3 + 12\/35*q**5 + 1\/21*q**6 + 0*q + 4\/7*q**2. Factor w(v).\nAnswer: 2*v*(v + 1)**2*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 - 6 = -3*m, 0 = 2*m + n - 2. Suppose -3*w - 4*x + 45 = 0, -4*w + 10 = -m*w + 3*x. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 2 - 2 + (j - 2*j**2 - j)*(2*j**2 + 4*j - 4*j) + 13*j**4 + 6*j**2 + 2*j - 6*j**4 - 6*j**4 + j**4 + 2*j**4 - j**4 + 3*j**4 - 28*j**4 + 7*j**4.\nAnswer: -21*j**4 + 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -54. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 12\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**2. Let p(o) be the second derivative of -o**5\/30 + 53*o**3\/3 + 3*o. Let j(n) be the second derivative of p(n). Calculate f(j(u)).\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 36. Let m be (s\/1)\/(2\/(-16)). Let v(j) = -j**3 - 6*j**2 + 12*j + 13. What is the tens digit of v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -101609*c**2 + 2376*c. Let y(h) = h. Determine y(b(p)).\nAnswer: -101609*p**2 + 2376*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/120 - i**4\/24 - i**3\/3 - 2*i**2. Let l(z) be the first derivative of g(z). What is the first derivative of l(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/7 + 8101*n**2\/7 - 641377*n + 645155235\/7.\nAnswer: -(n - 7515)*(n - 293)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/(-18))\/(-7))\/(102\/(17340\/(-1105))).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 8*o + 8*o - 3 - 17*o. Let k be y(6). Suppose -k*c - c = -500. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (71 - -7)\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3125 by 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 7 + 0*y - 2 - 10*y - y.\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2 + 2)*(-q**2 + 3*q**2 + 0*q**2) - q**3 + 3*q**2 - 3*q**2 + (1 - q**2 - 1)*(0*q + q + 0*q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6222*0.6\nAnswer: 3733.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfkkjuaftjtj. Give prob of picking 1 u, 1 k, and 2 f.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*l - 31, -x - 1757 = -3*l - 1752 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/(-12))\/(-7))\/((-16)\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 16\/7*h**3 + 1\/70*h**5 - 3 - 64\/7*h**2 - 2*h + 5\/14*h**4. Find u, given that c(u) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 - x. Let t be u(0). Suppose 4*z - 5*b - 23 = t, 6 = -2*b - 0*b. Factor -1 - 2 + 2 - z*k**3 + k + k**3 + k**2.\nAnswer: -(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 92*b + 942. Calculate x(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:20 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 28*r**2 + 94*r + 36. Give y(31).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 525033*m**2*r**3*z**3 + 2*m**2*r**2 - m**2*r*z - 3*m*z**2 + 2*r**3*z + 118371*r*z**3 wrt r.\nAnswer: 3150198*m**2*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2 = 3. Let x(d) = -3*d**3 + d**2 + d + 1. Let k be x(t). What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13059 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -83*t**3\/3 + 400*t. Let q(a) = a. Give c(q(d)).\nAnswer: -166*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)*f)**13\/(f\/f**(-3\/2))**(-4\/9))**(2\/71) assuming f is positive.\nAnswer: f**(802\/3195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/10 of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278 + 713. Suppose -4*l - x = -2099. Let g = l - 261. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 21*m**2 + 7*m + 1109. Give c(20).\nAnswer: 1649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 33*r + 77*r.\nAnswer: 116*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -21*n - 674. What is the remainder when 396 is divided by b(-33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 56. Let k(g) = -g**3 + 7*g**2 - 6*g + 2. What is k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o. Let i(w) be the second derivative of 0 + 1\/3*w**3 + 5*w + 0*w**2. What is i(p(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) + sqrt(1280)*-1)\/(sqrt(8)\/sqrt(2)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 5 + -3 - -5. Suppose 2*m + 3*p - 20 = -2*m, 3*m = -k*p + 22. Suppose -m*a - 2*a = -z + 50, 4*z = 2*a + 214. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 13095?\nAnswer: -13096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b + 28*b = -2975 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 90 + 0*h**3 + 89 + h**2 to s*h**3 + t*h**2 + a*h + w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62692875 is divided by 218.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g**2 + 31*g + 32*g**2 - 116*g**2 - 10*g + 38*g**2 as f*g + x + r*g**2 and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**2 - 3030*m - 3035 = 0.\nAnswer: -1, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16403 is divided by 1093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(1\/4))\/(o\/(o\/(o\/(o**(-2\/13)\/o*o)*o))))\/(((o*o**(-2\/5)*o)\/o)\/(o*o\/o**(-7))))**(16\/9))**(-15) assuming o is positive.\nAnswer: o**(-7276\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*n = -986, -i + 2*n + 8 - 508 = 0. Let g = i + 541. Calculate the highest common factor of 165 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/12 - (35\/7)\/(-15). Suppose 0 = -2*b - 4, 2 - 12 = -4*c + b. Let x = 6 - c. Solve -4*s = -r - x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 130\/50 - (-2)\/5. Suppose -v + r*v = 14. Is 7 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362\/63 - 116\/21. Which is the second biggest value? (a) 419 (b) -0.2 (c) q (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -8\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbl when three letters picked without replacement from {o: 1, l: 1, b: 1, d: 2, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g + 0*g + 1 + 5*g)*(7*g - 16*g**3 - 1 - 2*g + 13*g**3) in the form b*g**2 + j*g**4 + n + t*g**3 + i*g and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337103781?\nAnswer: 3, 7, 37, 61979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5777*y - 4. Let l(u) = 2*u**2 + 27*u + 37. Let j be l(-12). Is a(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.086 - -0.014. Suppose 29 = -5*i + 9. Let k be i\/14 - (-12)\/14. Which is the third biggest value? (a) v (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 6*z + 0*z)*(0*z + 5*z - 2*z) - 12*z**2 - 1 - 4 + 4.\nAnswer: -9*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45515 - 5105?\nAnswer: -53623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(0 + 3). Put -3, i, 1\/13 in descending order.\nAnswer: 1\/13, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -1.03. Which is the nearest to g? (a) 1\/4 (b) 2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.42. Let f = t - -0.08. Let i = 0.01 + 4.99. Which is the second smallest value? (a) f (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*o*p - 343*o + 405*p + 3 wrt o?\nAnswer: -6*p - 343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 44*g - 1341 = 112*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 283, 610, 1057, 1618?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 2, e: 2, h: 1, g: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 8425 = 11*g. List the prime factors of g.\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0 + 2*i**2 + 1\/30*i**5 + 0*i**4 + 0*i + 1\/3*i**3. Find the first derivative of q(d) wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**3\/3 + 23*o**2\/2 - 13*o. Let x be t(10). Let n(a) = 5 - 4 - a + a**2 - 2*a. What is n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5846\/50 - (-42)\/525. What is the greatest common divisor of j and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 57859*h - 13212. Is r(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, -1, 39, 18, -17 in ascending order.\nAnswer: -17, -16, -1, 2, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 65.\nAnswer: -77\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00465377177 rounded to 7 dps?\nAnswer: 0.0046538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 40.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18 and 89\/287021478.\nAnswer: 861064434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*q + 134, 4*a - 144 - 48 = -4*q. Let k = a - 30. Let n be 3\/(-1) + 1 + k. Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3088469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 128081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1467)\/(-6)*(-1)\/((-42)\/(-20)). Let w = 7685\/63 + q. Is w >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 101. Sort -4, -2\/13, c, -3\/2 in descending order.\nAnswer: c, -2\/13, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507 + -223. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 27 - 3191*t**2 - 27 + 3168*t**2 - 3*t.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 433393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 7*g)*((0 - 1 + 0)*(3*g**3 - 3*g**3 + g**3) + 23*g**2 - 1 - 23*g**2 - 4*g**3).\nAnswer: -10*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 7, f: 1, c: 3, k: 1}. What is prob of sequence vovk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 112. Calculate l(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 2, 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + g - 3*x = -29, 3*g - x = -18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgm when four letters picked without replacement from gmmggggmmgmgm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 1)*(-2*h + 7*h - 3*h) + 4*h + 6*h - 4*h + (h - 2 + 2)*(85 - 107 + 99) - h + 4*h - 4*h)*(3 - 2 - 4) to the form y + m*h and give m.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3332\/(-119))\/((-378)\/21)*9*-3.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w - 8. Calculate the remainder when 56 is divided by g(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -42*y + 67*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -7*v + 16*v. Suppose 20 - v*g**2 - 14 - 10 + 7*g - g**3 = 0. Calculate g.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 2*q, 8*w + q - 16 = 5*w. Let p be (8 - w) + 0 + 7. What is the greatest common divisor of 55 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*68\/(-9))\/((16\/(-18))\/((-434)\/(-217)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.25425 days in hours?\nAnswer: 1182.102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kilxeeee. What is prob of sequence ei?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69792064*t**2*y**3 - 1890*t*y**3 - t*y - t - 2*y**3 - 16*y**2 - 5 wrt t.\nAnswer: -139584128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1173997, 2347989, 3521981, 4695973, 5869965, 7043957?\n\"Answer: 1173992*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1200\/(-320)*336\/63\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-2508048.\nAnswer: 17556336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(-73 - -1). Let h = 65 + z. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22536527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*a - 25, -3*a + 5 = 2*m - 4. Suppose -m*g = g - 21. Solve 0 = z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 401507 - -3?\nAnswer: 401510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6518.\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(300) - sqrt(300)))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13.6, -5, -1\/7, -1\/3, -0.2, 5, 4.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 - 33*p**2 - 186*p + 2160 = 0. What is p?\nAnswer: -8, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/32 - 90\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 7}. Give prob of picking 2 d and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68ba64a2 + 3?\nAnswer: -68ba649b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1.55, 0.1 in decreasing order.\nAnswer: 3, 2, 0.1, -1.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13395377173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o - 2. Let p(x) = x - 1. Suppose -508*l = 4*w - 506*l + 26, -32 = -2*w + 4*l. Give w*t(s) + 6*p(s).\nAnswer: -32*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 926937 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13ca79790 - 5?\nAnswer: 13ca79788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 312 - 138 = -3*m, -2*m + 301 = -3*i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - 139.2. What is the closest to -3 in 4, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 - 15*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.7 + -0.3. Suppose -3*j = 3*f - 291, 0 = j - f + 28 - 135. Let o = j + -311\/3. What is the second smallest value in x, 4, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -3*z**5\/100 - z**4\/20 + z**3\/5 - 6*z. What is k in u(k) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 74. Let x be (-1)\/(-4)*m\/(-26). Sort 0, x, -8 in descending order.\nAnswer: x, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**2 - 44*u + 78. Give i(3).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 143?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145797 is divided by 486.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029082.412 to the nearest 10000.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 3\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 138. Sort -5, j, 3, 1 in ascending order.\nAnswer: -5, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6132 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y - 276 = 414 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d*w**5 - 416*d*w**4 + 4*d*w - 2*d + 48*w - 2 wrt w.\nAnswer: -180*d*w**3 - 4992*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 - 4*f + 11. Let l(n) = -2*n**3 + 8*n**2 - 5*n + 12. What is -4*l(o) + 5*s(o)?\nAnswer: 3*o**3 - 2*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 10. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1)\/((-2)\/6). Suppose -5*x = 2*h + h - 35, -5*x + h + 15 = 0. Suppose -2*l + 4 = -x. Put l, p, 3 in increasing order.\nAnswer: p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7651193 and 6.\nAnswer: -45907158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*v**2 + 9*v + 4*v - 16*v.\nAnswer: -493*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001087953567 rounded to 6 decimal places?\nAnswer: 0.001088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31303*q**5 - q**3 + 85093*q**2.\nAnswer: -1878180*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51175 + 51175 + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-99)\/(-11) - 33*(-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 20*z - 97. What is the units digit of j(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*a + 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.955221 plus 0.0872?\nAnswer: 308.042421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.54 - 88.54. Is s < -1\/479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1\/3, -2\/41, 12.82, 6?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42*(1073\/37)\/464)\/(1\/(-24))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 11. What is the remainder when 34 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Let j be (d + 1)*(4 + -2). Suppose j*h + 16000000 = 2*b, 4*b + b + 40000000 = -5*h. Round h to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98414, -98093, -97770, -97445, -97118, -96789, -96458?\nAnswer: -96125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z = -3480 + 8154. Suppose 0*i - 2*i - 8 = -4*b, -5*i + 3*b = 13. What is the remainder when z is divided by (-44)\/(-3) + i\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (41 + -35 + -6 + (61 - 0)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -7)*-2*(-3)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235140?\nAnswer: 2, 3, 5, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(-1\/33)*t*t)*t**(1\/2))\/(t**(-3\/13))**(-3\/13) assuming t is positive.\nAnswer: t**(5321\/11154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243196 to the power of 1\/2, to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -1\/360*k**5 - 5\/2*k**2 + 4 - 1\/720*k**6 + 0*k**4 + 0*k**3 + 0*k. Let z(f) be the second derivative of c(f). Factor z(s).\nAnswer: -s**2*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18899, 37725, 56551, 75377, 94203, 113029?\n\"Answer: 18826*z + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1728 + 1729. Which is the second biggest value? (a) 2\/13 (b) -3\/7 (c) o (d) -0.4 (e) -4\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 <= -106\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Let n = 5.3 - q. Put n, 2, -0.5 in descending order.\nAnswer: 2, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:51 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d - 4*x - 1090, 5*d + x + 5450 = 0. What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 2*l**2 + 2*l - 1. Let q be h(2). Let v = q + 13. What is the least common multiple of v and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 53245455*d**3 + 189005231877135*d**2 - 223637101526190159365*d.\nAnswer: 5*d*(d - 3549697)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13902553219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417008 = -45*m + 177757. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8347*l**4 + 23*l**2 + 7*l + 43729.\nAnswer: -100164*l**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 - 6*j + 3. Let m be i(6). Let g = -4938 - -4938. Solve g = m*n - n - 2*d, 0 = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 2\/3, 4, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k - 331 - 1023 = -194 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.8 (c) -2\/21 (d) -4 (e) 3 (f) -5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + y**2 - y - 3. Calculate the remainder when v(3) is divided by 1 - 7 - (376 - 402).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckiremcmeekcm. Give prob of sequence kc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13685 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 - -235. Let n be (-4 + (-45)\/(-12))\/((-5)\/i). What is the third biggest value in 4, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 24*r + 93. Give q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = n - 4*n + 28311, 2*c = 3*n + 18864. Suppose l = 2*r - 0*l - 3777, 0 = -5*r + 4*l + c. Suppose 0 = -2*g + r + 247. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 512, 1038, 1564, 2090?\n\"Answer: 526*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164017791?\nAnswer: 3, 7, 289273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(5\/3 - 2). Suppose -9*l = -17*l - 2288. Let d = l + 319. Calculate the highest common divisor of d and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 2*u = 18, 3*h + 2239 - 2194 = 5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1263 times 15\nAnswer: -18945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157, 155, 155, 157, 161, 167, 175?\n\"Answer: i**2 - 5*i + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 255*b - 72840. What is p(-171)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92b - -1?\nAnswer: -92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 145*r - 480. Is 11 a factor of g(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -10.9. Let r = 1235.1 + -1235. Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 66 = 25*a. Suppose -105 = -3*v - a. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 33*l**2 - 4*l + 4. Let t(k) = 27*k**2 - 3*k + 3. Let c(a) = 3*n(a) - 4*t(a). Let m(x) = 25*x**2. What is c(m(f))?\nAnswer: -5625*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386*p + 369*p**2 + 184*p**2 + 20*p.\nAnswer: 553*p**2 - 1366*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.96971856 to 3 dps.\nAnswer: -4.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2832 + -56689\/20. What is the common denominator of 19\/180 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**7\/420 + n**4\/3 + 2*n**3\/3 - 4*n**2. Let h(m) be the first derivative of l(m). Differentiate h(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 4*x - x + 5 - 3. Let o be t(-11). Let h = 43 - o. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12202909*p**3 - 362692*p + 83 wrt p?\nAnswer: 73217454*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 18*r = -27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*s - 100*s + 48*s - 244*s - 13*s - 1.\nAnswer: -495*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 749 - 747 - (-2 + -2 + 1 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from zoimziizzpzo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 47162*q**2 + 47162*q**2 + q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000826797346 to 6 dps.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*r - 289, -3*w = -2*w + 4*r - 87. Let c be -4 - (-3 - -1) - 24. Calculate the remainder when w is divided by (c\/(-4))\/(2\/8).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.881294kg in micrograms?\nAnswer: 3881294000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15\/3172?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4246*q**3*z**3 - 4*q**3 - 5*q**2*z**2 + 2*q*z**2 - 67*q*z - 12*q + 91*z**3 wrt q?\nAnswer: -25476*z**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5453590, -10906839, -16360088, -21813337, -27266586, -32719835?\nAnswer: -38173084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60045 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1160)\/160)\/((-2)\/8). Suppose 3*g - 1623 = -3*r, -f*r = -5*g - 28*r + 2699. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2. Let b(m) be the second derivative of 0*m**3 + 1\/12*m**4 + 0 - 3*m + m**2. Let h(r) be the first derivative of b(r). Calculate h(u(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {c: 1, b: 1, u: 1, g: 1, z: 2, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*((sqrt(98) - (sqrt(98)*-1 + -3 + sqrt(98)) - sqrt(98)) + sqrt(98) - (4 + sqrt(98) + -4 + sqrt(98))) + 1)*4)**2.\nAnswer: -44800*sqrt(2) + 110352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 310408009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4 - (-10 + 3 + 3)) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - 8)*-4 - 706. Which is greater: -711 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111211 + -1001?\nAnswer: 2110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i = 37*i - 2611 - 197 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let j be k(-2). Let x(g) = 3434*g - 4. Let v be x(j). What is v rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 2131, 4782, 8493, 13264, 19095?\nAnswer: 25986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 72795940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/40*(-10)\/15. Which is the closest to 1? (a) -2\/11 (b) -0.2 (c) -7\/5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(500) + (4 + 1 + sqrt(500))**2 + 5*(2*sqrt(500))**2).\nAnswer: -21050 - 220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1021\/8 + -128. Let q(d) = d + 11. Suppose -11 - 7 = 3*s. Let t be q(s). Which is the biggest value? (a) t (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 26. What is u(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41949, -41975, -42001?\n\"Answer: -26*g - 41923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11604 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47203, -188827, -424861, -755299, -1180135?\n\"Answer: c**3 - 47211*c**2 + 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -9*n**4\/4 - 11*n**2\/2 - 12. What is the second derivative of w(h) wrt h?\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 138 = -254. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-190)*(-1058)\/1587?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -371, -799, -1313, -1961, -2791?\n\"Answer: -8*j**3 + 5*j**2 - 387*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3 - 1. Let x be 1\/v - 21\/6. Let r(z) = z - 2. Let s(t) be the first derivative of t**2\/2 - 2*t - 6094. Determine x*s(h) + 4*r(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {o: 17, h: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*r = -920, -5*k - 2*r + 1241 = 321. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/178 in 0.2, 2, -0.25, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -360*z**2 + 2. Let u(v) = 15*v - 182. Let r(f) = 7*f - 84. Let i(m) = 13*r(m) - 6*u(m). What is g(i(n))?\nAnswer: -360*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**2\/2 + 7*o - 2. Let b be f(5). Suppose 6*x - 2*x - 8 = 0, -21 = -5*i + b*x. What is the least common multiple of i and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123792915?\nAnswer: 3, 5, 43, 59, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 7*s - 9)*(2*s - 6*s + 9*s) + (-4*s**2 + 6*s**2 - 3*s**2)*(-3 + 1 + 0).\nAnswer: -33*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 3. Let d(x) = -x - 1. Let o(n) = -2*d(n) + s(n). Let y be o(-1). Solve y*g = 7*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122707952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -456, -0.3, 4, -4168 in ascending order.\nAnswer: -4168, -456, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2282 or -2284?\nAnswer: -2284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1524 and -157\/3810.\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33180?\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100572043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39201 and 2148.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/90 + c**5\/10 - 2*c**3\/3 - 2. Let a(n) be the third derivative of r(n). Let a(i) = 0. What is i?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*g - 142*g - 2 = -4*u, 0 = -3*u + 3*g + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 237 + -234. Solve s = -c - 3 + 6, -2*c - f*s + 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 12. Let v be y(-6). Let u be 2*9\/(v\/(-8)). List the prime factors of -2*((-162)\/u)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 17 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 = h, 0*m = 4*h + 2*m - 48. List the prime factors of 1284\/16 + h\/(-8).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12116 - 5661. Suppose -1919 + m = 6*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42005, -83922, -125839?\n\"Answer: -41917*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 1709168367*u**4\/4 - 6185169*u**3 + 67149*u**2\/2 - 81*u + 353. Determine a, given that w(a) = 0.\nAnswer: 3\/829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 41 = 5. Sort l, -10, -5.\nAnswer: -10, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 + -348. Calculate the remainder when 274 is divided by h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20231133 (base 4) in base 7?\nAnswer: 206010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {l: 4, m: 9, j: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5\/2 - 360*u**4 + 1545*u**3\/2 + 11295*u**2 + 10164*u = 0. What is u?\nAnswer: -242, -4, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20302410*t**2 + 18212256?\nAnswer: -40604820*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 65.388\nAnswer: -1307.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**3 + 4*y**3 - 27*y - 2*y**2 - 12*y**3 + y**2 to q*y**2 + b + a*y + l*y**3 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 0. Let g = y + 18. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -212 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/99 - 12\/(-66)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + i = -5, -i - 4*i - 13 = n. Suppose -2 = 2*m - 3*y + y, -n*m - 5*y = 37. Let l = 10 + m. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -6697*a**3\/6 - 1704*a**2 + 4025*a. Differentiate r(b) wrt b.\nAnswer: -6697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.596861285 to three dps.\nAnswer: 3.597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*j - 43, -j - 5*h - 27 + 11 = 0. Calculate the common denominator of -11\/18 and 94\/j + -15 + 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44903723 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 11 = -12*k + i, k - i - 4 = 0. Factor 324*q + 192*q**2 - 7*q**k + 192 + 12*q - 13*q**5 + 24*q**3 + 17*q**5 - 12*q**4.\nAnswer: -3*(q - 4)*(q + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -11*i + 42. Let f = i + -50. Suppose 0 + 0*s**3 + 2\/5*s**4 - 2\/5*s**5 + 0*s + 0*s**f = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, 5, -3.\nAnswer: -4, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 15. Suppose 209*j = 219*j + 70. Calculate p(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -1.2596451.\nAnswer: -1.8596451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493403369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 21050681 and 0.1.\nAnswer: 21050681.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6 - 303*u**5 - 64671*u**3 - 4*u**2 + 14*u - 33396 wrt u.\nAnswer: 240*u**3 - 18180*u**2 - 388026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-3 + (-18 - -3))) + -5 + 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 139*s = -10252 + 37027. Is 1\/2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 2730*j + 22025. Calculate m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:46 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 4\/5609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13777*l + 91415 - 970501 - 344586 = 291798 for l.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 * 4.17\nAnswer: -2.9607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 0*p + 3*p - 3*p + 4*p + p + (-2 + 1 + 2)*(p - 4*p + 5*p) + (-1 - 1 + 4)*(0 + p + 0) + 2*p + 0 + 0.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 1. Let f(r) = -7*r**2 - 53*r - 64. Let a be f(-6). Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132\/11*(-7)\/(-4). Let v = 21 - r. Suppose 45 + v = 3*o. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 22*l**3 - 3*l**2 - 17*l + 43. What is the remainder when q(3) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.854748 tonnes to nanograms.\nAnswer: 854748000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 382597101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 <= -241\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 4*z + 21.\nAnswer: -(z - 7)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/3)\/g*g))\/((g\/(g*g**(-4)))\/g)*(g\/g**0)**(2\/21) assuming g is positive.\nAnswer: g**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -773, -1205, -1673, -2183, -2741, -3353, -4025?\nAnswer: -4763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32179 and 31?\nAnswer: -997549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 23*g**2 - 14*g + 341. List the prime factors of y(12).\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.69 - 1.8. Let m = -3.09 + v. Let i = m - -1.2. Which is bigger: 2\/5 or i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 72. Let c(o) = 74*o - 11156. What is the remainder when c(152) is divided by l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434 (base 5) to base 3\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 29*s + 1040 = 0. Calculate the remainder when s is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Suppose -x - 3 = -2*u. Suppose 0 = -z - 2*k + 8, -u*z - z - 3*k + 42 = 0. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(425)) - sqrt(425))**2*-3.\nAnswer: -20475 - 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*c*k**2 - 7*c*k - 2*c - 5197*k**2 + 692*k - 2 wrt k?\nAnswer: 26*c - 10394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 9*j - 10*j, j = 2*i + 13. Let m(b) = -63*b + 81. Is m(i) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z)**(-2\/85) assuming z is positive.\nAnswer: z**(6\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 179*i - 174*i + 310, -60 = i - h. Let g = 219 + -153. Let v = g + i. Which is the nearest to 0? (a) v (b) -4\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 68*n**3 + 153*n**2 - 260*n - 700 = 0.\nAnswer: -14, -5\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = k, -5 + 0 = 4*k + 3*p. Let d be (k + 2)\/(-5 + -9 + 11). Solve d = -5*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38759, -77515, -116271, -155027?\nAnswer: -193783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3\/7 - 5597832*i**2\/7 - 5597826*i\/7.\nAnswer: -6*i*(i + 1)*(i + 932971)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73*t**3*w**2 - 3*t**3 - 89*t**2*w**2 + 6*t - w - 11 wrt w?\nAnswer: -146*t**3*w - 178*t**2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**3 - 2 - 10*t**3 + 148*t**3 + 13*t**3.\nAnswer: 184*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.03, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1020 and 50.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75723446237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847 + 923 - 4*m**2 + 924.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 16*j - 15. Let n be v(-13). Let q = n + -10. Suppose -2*m + 3*g + q = -2, 4*m - 34 = 5*g. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/144*-22)\/(1166\/3498)\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -699*n + 28030. Give d(40).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 26\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05 or -97\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1773\/12 + (-2)\/(-8). Let p = r + -104. Suppose 3*m = 68 - 23. What is the remainder when p is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -14. Let f(l) = l - 6. Let w(g) = 1. Let u(j) = f(j) + 2*w(j). What is the units digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 5 (b) 14 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 3653880.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bc + -39?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248*f**2 + 118*f**2 + 72*f**2 + f**3 - 249 with respect to f.\nAnswer: 3*f**2 - 116*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -1.27432?\nAnswer: -1.146888","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 2449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 1\/3*l**3 + 20*l - 5\/4*l**2 + 1\/24*l**4 + 2. Factor d(x).\nAnswer: (x - 1)*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 6 - 2. Let g = 0 + 0. Is g at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(18\/(-648)*15))\/(3\/30*-3).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 16*v + 86. Let l be i(-5). Let x be -1 - 3 - 6\/(-2). Let o be (3*(-8)\/12)\/x. Solve 5*w + l = o*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 6 - (0 + (-3 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-45)\/(-30) - 43.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (79 - 75) + 1 + -8 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o + 2. Calculate the smallest common multiple of 4 - (-6 - (-7 - 1)) and u(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -23*s**4\/4 + 47*s**3\/3 - 37*s**2\/2 - 8*s - 834. What is the second derivative of u(g) wrt g?\nAnswer: -138*g + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 135 = 31*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*z + 574*z = -2039*z + 60755 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0198 + -3.9802. Which is smaller: m or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 209 - 77 - 132.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*f**3 - 940*f**2 + 7975*f - 20570.\nAnswer: 5*(f - 11)**2*(7*f - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/(124\/(-1984)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - k**3 + k - k**3 - 4*k**3 + 7*k**3 + (2 + 2 - 2)*(0*k**2 + 0*k**2 + 2*k**3).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1851850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-76)\/66 + (-2)\/(-6) and (-70)\/33 + 10\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 21 - 42*l**2 + 0*l + 81*l**2 - 82 - 37*l**2 + 3*l as q*l + y + j*l**4 + d*l**2 + v*l**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -39. Let s be (-6 - -4)\/(-1) + -4. What are the prime factors of ((-9)\/m)\/(s\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.7. Suppose -12 = -q - 3*l, 2*l - 9 = 2*q - 3*l. Let i be q + 38\/28*-2. What is the nearest to 0 in y, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 11*q - 6. Calculate r(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 46 = -398. Let t = 435 - d. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -51*a - 16*a + 26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 4*s + 7. Let p be f(6). Let q be p\/(20\/8) - -6. Solve t = -q*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 421*u - 558646. Determine y(566).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 9\/3 + 22. What is the greatest common divisor of 162 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(6)*-2 - sqrt(6)))\/sqrt(2) + (sqrt(3) + (-1*sqrt(21))\/sqrt(7) - (-2*sqrt(30))\/sqrt(10)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 + -92. Let n = 101 - q. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11774807 (base 9) to base 10\nAnswer: 5777251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2224 + 2252. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8093*i. Let t(f) = -18277*f. What is t(m(v))?\nAnswer: 147915761*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 6 - 6. Let p be (-660)\/(-175) - l\/28 - 3. Which is bigger: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 1227, 2793, 4995, 7833, 11307, 15417?\nAnswer: 20163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 41*f**2 + 16*f**3 - 6*f**2 - 5*f**2 - 16*f**2.\nAnswer: 16*f**3 - 61*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 12200200020?\nAnswer: -12200122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*l - 16 = l, 0 = -r + 3*l - 8. Let b be ((-112)\/20 - -6)\/(1\/(-20)). Let o(s) = 2*s**3 + 14*s**2 - 15*s + 8. Let y be o(b). Does y = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385*m**6 - 5*m**4 + 222*m**3 - 1063801*m**2.\nAnswer: 46200*m**3 - 120*m + 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 + 31896333*z**3 - z**2 - 191245258*z wrt z.\nAnswer: 20*z**3 + 191377998*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 1. Let p be 4\/(-2)*(20\/(-5))\/4. Suppose p*a + 0*n = -n + 29, 3*a - 39 = x*n. Solve -2*z + a = -c - 4*c, 2*z = -4*c - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*4\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1247, 1242, 1235, 1226, 1215, 1202?\n\"Answer: -b**2 - 2*b + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 11 = j + 2*t, 4*j + t + 23 = 0. Let y(a) = -2*a - 18. What is y(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -22. Suppose -11*t - 129 = 432. Let d = t - -48. What is the closest to d in o, -5, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 2*s**2 - s - 4. Suppose -6*z - 38 = -20. Let q(u) be the first derivative of -u**4\/2 - u**3\/3 - u**2\/2 - 3*u + 2. What is z*r(i) + 4*q(i)?\nAnswer: -2*i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 8*o + 2 + 4*o + (-2*o - 2*o + 2*o)*(-3 + 2 + 0).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from {v: 3, m: 4, y: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2012, -2299, -2606, -2945, -3328?\nAnswer: -3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, d: 1, x: 1, k: 1, s: 2}. What is prob of sequence sd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 144.\nAnswer: 4*(x - 6)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11933.32mm to micrometers.\nAnswer: 11933320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -25, 9, 779 in descending order.\nAnswer: 779, 9, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*c**3 + 34*c**2 + 182*c**2 - 348*c**3.\nAnswer: -2*c**3 + 216*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -3)**2 + sqrt(1377) + -1.\nAnswer: -27*sqrt(17) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -3 - 2) + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -703647, -703657, -703667, -703677, -703687?\n\"Answer: -10*j - 703637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 - 8*t**2 + 8*t**2 + 42 - 96 + 2*t**3 to the form m*t**2 + o*t**3 + n + f*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 60. Let h = 341 - 5117\/15. What is the second biggest value in 1, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3. Let i be j(-2). Suppose i + 16 = 4*h. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -8) + -4 + 2 + 8. Solve -12*y + b = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.586261864 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184753, 184751, 184749, 184747?\nAnswer: 184745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4692 is divided by 585.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*k + 44*k + 1002 - 143 + 1759 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) -0.1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/37, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q. Let c(d) = 684*d**2 - 136*d**2 - 146*d**2 + 480*d**2. What is k(c(o))?\nAnswer: 1764*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r - a, 5*r = -5*a. Let t be (112\/10)\/8 + 3\/5. Suppose -t*l = -5*x - 3 + 16, -3*x - 2*l = -11. Solve f = -x - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 4*(-2*(sqrt(684) + -2 + sqrt(684)) + -2 - ((0 + sqrt(684))*5 + 1))**2).\nAnswer: -443242 + 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11042, -11044, -11040, -11024, -10990, -10932, -10844?\n\"Answer: m**3 - 3*m**2 - 11040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449883.\nAnswer: 3, 7, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 35, 55, 89, 143, 223, 335?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*q - 255*q - 105 = 0. Suppose 5*l + z = 175, 2*l - l = -4*z + q. Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102.5 + 103. Which is the closest to -12\/11? (a) -3 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201022331222 + -10?\nAnswer: -1201022331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 2*i - 3. Let g be z(-1). Suppose -g*v = -2*o - 8, 2*v + v - 20 = -5*o. Put 3, v, 15 in increasing order.\nAnswer: 3, v, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2523 is divided by 115?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of -3*(9 - 6 - (-19738)\/(-12)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -0*i - 0*i - f, 31*i + 22*f - 102 = -29*f + 48*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34463072.\nAnswer: 2, 7, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10 = 4*g, d + 3 = 5*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*u**4 + u**3 - 175*u**4 - u + 90*u**4 - 6 - 2*u**2 in the form l*u + a*u**4 + q + d*u**3 + c*u**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 2:17 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 0 - 1 - 2. Let b(p) = 7*p**2 - 30*p - 5. Let m(j) = 8*j**2 - 36*j - 6. Let x(a) = -6*b(a) + 5*m(a). Calculate y(x(g)).\nAnswer: -8*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 - (-4 + -4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*f - 36527 = -14603 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855 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: Solve 0 = -21*x - 29 - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/((-15)\/(-10)) + 68\/9 and (-12)\/(148*6\/(54 - 6)).\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4548 and 145\/12?\nAnswer: 4548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 19 - 9 = 0. Let m(k) = k + 5. What is m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/10)\/((-6)\/(-4)). Let g(t) = -13*t - 1. What is g(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:03 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(128)*-1*3 + sqrt(128))*-4*-2 + 2))**2.\nAnswer: -18432*sqrt(2) + 1179792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846380342.\nAnswer: 2, 5521, 76651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 3*x**2 - 3*x - 2. Let v be q(-1). What is the third derivative of v*f**2 + 2*f**2 - 12*f**2 - 10*f**2 + 15*f**5 wrt f?\nAnswer: 900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 3, a: 7}. Give prob of picking 1 c and 1 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -12 + 5 + 12 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1344585132 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 9*j + 285. Let v = j + -33. Suppose -v = -5*n - 2. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*x = -4, -n + 4*x = 4*n - 18. Suppose 0 = -5*y + 25, -3*y + 1 = -2*j - n. What is the remainder when 11 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 5*y + 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/30 and -19\/44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4952*v**2 + 4955*v**2 - 25*v - 5*v + (16 + 9 - 32)*(v**2 - 4*v**2 + 2*v**2) in the form k + r*v + z*v**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-165)\/(-6)) - (-1020)\/(-165). Let g(x) = -6*x**3 - 6*x**2 - 12*x + 19. What are the prime factors of g(f)?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1474*m + 1469*m - 2944*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 24*k - 12. Let t be h(-5). Let r be (-22 - -18)\/((-3)\/t). What is the highest common factor of r and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1548)\/(-10) - 3\/(-15). Suppose -3*n - 3*o - 61 = -100, -3*n + 27 = -o. What is the greatest common factor of b and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2 - 55*p - 59*p + 88*p. Let a be h(-1). What is the greatest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03602 times 22\nAnswer: 0.79244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7198990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:28 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672598709 rounded to the nearest one hundred thousand?\nAnswer: 2672600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86d5 (base 16) to base 13.\nAnswer: 12932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -508\/5. Let j be 3*10\/12*2. Suppose -5 = -0*t - j*t. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16455764.7 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 15*v**2 + 15*v - 3. Determine x(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) 2\/15 (c) -2\/7 (d) 3 (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/13 - 44600*i\/13 + 925134 = 0?\nAnswer: 273, 22027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332?\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -120*(15\/35 + (-10)\/7). Calculate the highest common factor of n and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 10:48 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2*sqrt(448)*-4)**2 + -2 - (-1*(sqrt(448) + -6*1*sqrt(448) + sqrt(448)))**2)*5.\nAnswer: 73910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -3*w + 5*y + 20 = 0, 3*w = a*y + 29 - 3. Solve 2*g - 2 = 3*u - w, 13 = 5*u - 3*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mviiviicicqi. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 155*x = 938 + 13762 for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -527*t**3 - 4*t - 823. Let h(q) = 528*q**3 + 3*q + 822. Let j(l) = -4*h(l) - 3*y(l). What is the first derivative of j(p) wrt p?\nAnswer: -1593*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let c(y) = y**3 + 7*y**2 - 9*y - 8. Let z be c(-8). Suppose z = 2*k - 4*t + 6, 0 = q*k + 3*t + 2*t - 24. Solve 0*b = -k*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 18. Let v = 5611\/4 + -1424. Let c = v + m. Sort 1, c, 2\/9 in ascending order.\nAnswer: c, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/10*-6*1)\/(-2))\/((-4503)\/417278)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 3, d: 4, x: 1, i: 1, b: 6}. What is prob of picking 1 b, 1 s, and 1 g?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13.9. Let m = v - 4.9. What is the nearest to -1 in m, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74408854 to the power of 1\/2, to the nearest integer?\nAnswer: 8626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/3)*j)**(-16)\/(j*j**(-1)*j\/j**2) assuming j is positive.\nAnswer: j**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14645.49 rounded to the nearest one hundred?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 7 - (0 - -2) - (-3 + 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 29 = -3*s. Suppose 0 = -2*n + 3*y - s - 155, 0 = -2*y + 4. Let j be (8\/(-10))\/(32\/n). Solve 2*o + 8 + 4 = -3*l, 5*l + 4 = j*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2\/7, 0.2, -0.1, 113.633, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 627 = 72. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669762 is divided by 391.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 8*s + 12.\nAnswer: (s + 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 10*y + 16. Let x be m(-8). Solve -3*z + 15 = -x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + i + 0*i)*(0*i + 7*i - 2*i) + (-21 + 21 + 7*i)*(-i + 5*i - 3*i) - 1 + 2*i**2 + 1 in the form y*i**2 + d + u*i and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 437*m**3 - 2*m + 438*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -401727*u**2 - 681988 wrt u.\nAnswer: -803454*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooll. What is prob of picking 1 s and 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 4*c - 0*c + 34, -2*v + 4*c - 1172 + 1204 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -195286.0647 to the nearest ten.\nAnswer: -195290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 0*r**4 - r**4 + 2*r**4 + r**2 - r**2 + (r - 2 + 2)*(r**3 + 3*r**3 - 3*r**3))*((-1 + 5 - 3)*(1 - 4 + 4) + 5 + 6 - 2).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1124133 and 590827.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12972839 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 28818312\nAnswer: -1\/7204578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 18*c. Let x = 93 + -102. Let r(z) = z**3 + 10*z**2 + 4*z - 27. Let g be r(x). Let m(u) = 2*u. Determine g*m(o) + 2*d(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-3)\/(110 - 2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.209 - 121.791. Let v = -121.99999939 - c. Round v to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010111 + -1110?\nAnswer: 1111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 5 + g**2 + 6*g**2 + 4. Let o be h(-1). Let k = o + -4. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -2 + -3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179244 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013316489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18670 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**3*w**2 + 374*b**3 + 2*b**2*w**3 wrt w.\nAnswer: -14*b**3*w + 6*b**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 11:42 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kzkzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 517, 567, 607, 631, 633, 607?\n\"Answer: -v**3 + v**2 + 54*v + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.82 - 0.8294. What is z rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/55 + (-61)\/(-5). Let n be 12\/(-16) - 50399967\/u. Let o be 11\/(-4 - (-3 + n\/4200000)). What is o rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1140896 and -47\/1426120?\nAnswer: 5704480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 + 4. Suppose 3*h + 5*g + 8 = 0, 0 = -g + 4*g - 15. Let d = 17 + h. Let o be f(d). Solve -o = -2*s - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5027 + 5037. What is the second biggest value in r, -15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {v: 7, l: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 5*c + 5. Let s(p) = -3*p**2 + 3*p + 3. Let m(y) = -3*i(y) + 5*s(y). Let h(x) = -6*x**2. Give m(h(j)).\nAnswer: -108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1471194 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121295 is divided by 1375?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 - 14*i**2 - 67*i - 318. Let r(a) = -83*a + 2. Calculate the remainder when r(-3) is divided by j(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) + (-14)\/(-3). Suppose n*j - 48 = -2*j. Is 8 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 1) + 3 - 2) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 - 1371\/7. Sort 2, l, 40 in increasing order.\nAnswer: l, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 6, z: 1, h: 8}?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y*y\/((y\/(y*y\/(y\/((y*y**(-3)*y)\/y))))\/y)*y*y*y**(-2)*y*y**1 assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*q + 2 = 0, -20 = -4*h - 0*h - 3*q. Let g(z) = 15*z - 5. What is the remainder when 72 is divided by g(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3))**2*-5 + (sqrt(160) - sqrt(10))\/sqrt(5).\nAnswer: -10 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1, -5\/4, 1.7, -2\/15 in ascending order.\nAnswer: -5\/4, -1, -2\/15, 3\/5, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + 80. Is n\/6 + 4\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45442?\nAnswer: 2, 22721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*n + 18 + 55, 78 = 3*n - 3*i. Calculate the remainder when n is divided by (-2)\/3 + 38\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -16*o**3\/3 + 5*o**2\/2 - 3. Find the second derivative of v(y) wrt y.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9666694927 - -0.96668. Round t to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -5, -13, -21, -29?\n\"Answer: -8*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2*q - 6. Suppose -h + k + 5 = 0, -2*k + 0 + 2 = 0. Calculate the least common multiple of b(h) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-15)\/(-165)*(-2)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 14039*f + 14043*f + 8 = 0, 4*m - 5*f = 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 1. Let t(b) = -b**2. Give t(d(m)).\nAnswer: -9*m**4 - 6*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 64. Let r(j) = -81*j + 23. What is the remainder when w is divided by r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p. Let c(f) = 96*f**2. Give i(c(v)).\nAnswer: 960*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, -2\/3, -2\/2533, 1, -10\/73?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-52000)\/195)\/160)\/((-1)\/2)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h + 5*h. Let y = -2 + h. Suppose -2*p = 3*l - 206992, 0 = -l - y*p + p + 68988. Round l to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 + 7*p + 17. Give o(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2813\/6 - -1406\/3. Let k = -7.7 + 8. What is the fourth biggest value in -3\/5, v, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -7, -31, -93, -205, -379?\n\"Answer: -2*b**3 - b**2 + 19*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 53 - 229. Let u be (-8)\/b + (-20)\/11. Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 41*s**2 - 19*s - 12. Let b(l) = 26*l**2 - 13*l - 8. Give -8*b(c) + 5*f(c).\nAnswer: -3*c**2 + 9*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 15544425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*y + 8 + 29*y + 12*y + 8*y + 28*y as d*y + u and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100620*g - 100621*g - 47 = -4*f, 96 = -3*f - 2*g + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -15*m**2 - 844*m - 7975. Determine s(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*q + 134*q = -1. Which is the fourth smallest value? (a) 4 (b) q (c) -7 (d) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z - 4*z**3 - 5*z - 3*z in the form t*z**2 + p*z**3 + v*z + i and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 5*c + 2. Let s be y(5). Let m(z) be the first derivative of 2 + z**s - 1\/3*z**3 - z. Let m(q) = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.102 + -0.148. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, p: 4}. Give prob of sequence ptt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 1\/6*u**3 + u**2 - 1\/4*u**4 + 0*u + 0. Suppose 1 = -r + 2. Calculate o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 + 30*c + 2*c**2 - 31*c - c**2. Let d(o) = -9*o - 872. Let i(v) = -d(v) - x(v). Let r be i(0). Round r to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/8412 and -87\/187868.\nAnswer: 563604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 8, 14, 24, 38, 56?\n\"Answer: 2*g**2 - 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18573294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73337*g**2 - 507*g**3 - 73325*g**2 + 146662*g**2.\nAnswer: -507*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30132 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 15. Let n = 1093 + -108205\/99. Let f = n - 212\/693. What is the biggest value in 2, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 0 + (2*sqrt(95))\/sqrt(5) - (sqrt(1539) - (sqrt(1539) + -1 + sqrt(1539) + 2 + sqrt(1539) + sqrt(1539))**2).\nAnswer: 69*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110191 is divided by 333.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 61013967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3031784, 3031973, 3032162, 3032351, 3032540?\nAnswer: 3032729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 7*q**2 - 3*q + 1. Let w be x(-7). Let z = w + -19. Suppose 0 = -z*o - 42 + 147. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) -2\/43 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 + p + 8. Let b be x(-4). Solve 2*u**4 + 44*u**2 - 7*u**b - 5*u + 5*u**3 - 39*u**2 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 12*a + 12. Let g be o(8). Let q be -1*(g\/(-5) - 0). Put 1, q, 2, -7 in descending order.\nAnswer: 2, 1, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away -14008662?\nAnswer: 14008662.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 6*k**3 - 8*k**2 - 3*k.\nAnswer: k*(k - 3)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 338669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2449, 2444, 2439, 2434, 2429, 2424?\n\"Answer: -5*z + 2454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -1 - 1\/12*g**4 + 9\/2*g**2 + 48*g - 1\/6*g**3. What is b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1605)\/(-2140)*(8\/10)\/((-1)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92686 is divided by 46328?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6094489 - 6094292.78222. Let k = 12.79232 + x. Let u = -209 + k. What is u rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4211301222 (base 5) to base 15.\nAnswer: -b6bd92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.2, -6, -29021?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/4 - -12)*4\/10. Suppose -y*r - 324 = -18*r. What is the lowest common multiple of r and 63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, z: 5}. What is prob of sequence uuz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -49. Let q be (-32)\/(-55) - i\/(-220). Which is the closest to q? (a) -2\/3 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9956 - -9956.020221. What is g rounded to 4 decimal places?\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*(c**(2\/5)*c)\/c))\/c)**34)**(-3))**(-43) assuming c is positive.\nAnswer: c**(-30702\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59633299?\nAnswer: 11, 5421209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -39436000 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w + 5. Let o be l(4). Put -2, -3\/8, o in decreasing order.\nAnswer: o, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3340 - -3352. Suppose -4 = -2*k - 36. Calculate the smallest common multiple of k\/(-1) - (0 - 0) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 13 = 5*h + 2*u + 11, -2 = u for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65 and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(2*r**2 + 0 + 0) - 4*r**2 - 8*r**2 + 2*r**2 + (2*r**2 + 2*r**2 - 2*r**2)*(-12 + 1 + 3)*(4 + 1 - 3).\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -681.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/5 + 11428*k\/5 - 222068 = 0.\nAnswer: 98, 11330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -49 in ascending order.\nAnswer: -49, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 13, k: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/4)\/((-2)\/48). Let v be 1158\/10 + 6\/r. Suppose -3*d - 226 = -7*d - n, 0 = -2*d + n + v. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:17 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(85*6255\/(-53100) - -10)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + j - 2*j)*(-64*j**2 - 3*j**2 + 11 - 11) in the form k*j**3 + s*j + b + n*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 4}. What is prob of picking 3 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9781120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 7) to base 3.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f. Suppose f = -3*v + 5*v - 46. Suppose 17 = 5*t - v. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/11))\/y**(-12))\/(y**(-1)*y)**(-40) assuming y is positive.\nAnswer: y**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2.2, 0, -3, -0.8, 0.7?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940021381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 5803*p**2 - 8528*p**2.\nAnswer: -2725*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236197164.\nAnswer: 2, 3, 7, 2811871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29939, -130760, -298795, -534044, -836507, -1206184?\n\"Answer: -33607*c**2 + 3668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5476, -5549, -5740, -6109, -6716, -7621, -8884, -10565?\n\"Answer: -10*m**3 + m**2 - 6*m - 5461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46493 + 137228\/3. Let c = j - -759. Which is smaller: c or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -197\/3. Which is the second biggest value? (a) 10 (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1010 - -460. Let p = -545 - b. Solve 0 = -3*v + p*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1726705 and 5525456?\nAnswer: 27627280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127963\/21 - -6091. Calculate the common denominator of -79\/56 and j.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106, -127, -162, -211, -274, -351, -442?\n\"Answer: -7*f**2 - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*r = -0*r + 16, -2*t = 4*r - 16. Let y be (3 - 6)*t\/(-6). Solve -y*w**4 - w**4 - w**4 + 4*w**3 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1810*t - 1579*t + 401 - 401 - 3810*t to the form f + i*t and give i.\nAnswer: -7199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/40 + a**4\/6 + a**2. What is the second derivative of m(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*27\/(972\/24). Sort q, -331, 0 in decreasing order.\nAnswer: q, 0, -331","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 340, -1, 3, 4, -4 in descending order.\nAnswer: 340, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-32)\/((z**(1\/5)\/z)\/(((z*z**(2\/3)*z)\/z)\/z)))**(-34) assuming z is positive.\nAnswer: z**(-748\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:53 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 934065 divided by -16?\nAnswer: -934065\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 - 3 + 0*r**2 - 3*r**2 + 7*r + 8. List the prime factors of v(4).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 23. Let d be ((-10)\/(-4))\/(1\/2). Suppose 8 + 52 = d*l. Calculate the remainder when p is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*w - 5 = -w, -11 = -5*y + 4*w. Let i be -1 + (-4 - -7) + y. Is (i*-1)\/(10\/(-470)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -210 and -0.14?\nAnswer: 209.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -f4c?\nAnswer: -f50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*w + 352. Suppose -w = -4*t + 68. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6664.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1341322*b**2*k**2 - 14*b**2*k*l*m + b*k*l + b*k - 3*b*l*m + 44*k**2*l*m - 9*k*l*m - 9*k*l wrt b.\nAnswer: 2682644*k**2 - 28*k*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296\/5 + -59. What is the closest to -1 in -0.1, d, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*q - 20, -3*q = -2 - 13. Solve 0 = -2*g + 8 - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-12) - 115\/(-3). What is j rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -98780, -790264, -2667148, -6322130, -12347908, -21337180, -33882644, -50576998?\n\"Answer: -98783*r**3 - 2*r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19*o**3 + 2*o**2 + o - 2. Let j be a(1). Suppose j*p - 22*p = -514. What is the first derivative of p*w**4 - 3*w**3 - 230*w**4 - 23 + 3*w**3 wrt w?\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k + 3*k**2 - 12*k - 19*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + -3 + -3*(sqrt(208) + sqrt(208) + 0 - sqrt(208))*-3)*3.\nAnswer: -27 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39714*l**2*r**4 - l**2*r**3 - 61*l**2*r + 2*r - 391 wrt r?\nAnswer: -476568*l**2*r**2 - 6*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzh when three letters picked without replacement from phhuujjuzkkhk.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185.21 + 2.21. Let n = a + 99. Let l = n + 82. What is the second smallest value in l, -0.05, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-four fifths of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120287245 to the nearest integer?\nAnswer: 10968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 37. What is the common denominator of 97\/10 and 9\/(-27)*p\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:45 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(2*(-12)\/32)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 29*r**3 - 5*r**2 + 2*r - 1. Let b = 49 + -45. Let q(d) = -d**3 + d**2. Let z(n) = b*q(n) + p(n). Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + ((16416\/(-133))\/(-27) - 6\/(-14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 16 = -7*p + 8*p, -5*p + 12 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103033003 + -203203?\nAnswer: 102223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39437, -39441, -39449, -39461, -39477, -39497, -39521?\nAnswer: -39549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*m - m - 218, 5*t - 4*m = 211. Let p be 52 - (-50 - -59)*2. Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s**2 - 6*s + 191. What is the tens digit of o(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26554 and -26554 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244894 - 245008.943. Let j = c + -0.057. Let w = -116.58 - j. Round w to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*(360\/(-540))\/(((-16)\/(-6))\/4)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489606 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41249\/25676 + -4\/6419. What is the common denominator of 5\/14 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4876 and 23850?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 90?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.86 and 988.\nAnswer: -1837.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 6*r**2 + 8*r - 4. Let b be d(7). Suppose p + 0 = -y + b, -y + 5*p = 3. Let l(k) = -4*k + 3. Determine l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 14*i**2 - 22*i - 103. Let l be b(-15). Suppose 5*u - 19 = 36. Suppose 14 = l*v + 2*d, 5*d = -0*v + v + u. Solve -q - 3*q = -v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c + 3*c + (-13*c - 24 + 24)*(11 + 0 - 2).\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -12530?\nAnswer: 12534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32172.9 grams?\nAnswer: 0.0321729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 2. Suppose -4 = -8*t + 7*t. Let d be (20\/t - 4)*5. Let o(n) = -5*n + 19. Let a be o(d). Determine i(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p - 7 + 7*p**3 - 7*p - p**3 wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1254 and -87\/2002.\nAnswer: 114114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 41*g - 30. Give b(22).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41895?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 956793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 times 110?\nAnswer: 10230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75 and -0.4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - m**3 - 2*m + 55 + 6*m**2 in the form w*m**3 + l + y*m**2 + n*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -114*i**2. Let v be j(1). Let q = v - -800\/7. Which is the second biggest value? (a) q (b) -0.3 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 122417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4820.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 158314*i**2 - 52993?\nAnswer: 316628*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2903331, -2903332, -2903333, -2903334, -2903335, -2903336?\nAnswer: -2903337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 22432642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 35 - 3)*(-4*b + 4*b + 2*b) - 189*b + 0 + 9 + 4 - 13.\nAnswer: -255*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l = 12. Let p(z) = z**2 + 6*z + 6. Let g(b) = -2*b**2 - 11*b - 11. Suppose -7*i = -2*i - 55. Give i*p(r) + l*g(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 65\/2. Sort 0.4, g, -45.\nAnswer: -45, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 2 (c) -2 (d) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4627 is divided by 210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 919\/2 + -459. What is the closest to q in -0.3, -1\/51, -0.5?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2*t + 2*t)*(t**4 - 3*t**3 + 3*t**3).\nAnswer: 4*t**5 - 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - -15. Let g = -4 + 22. Let f = g - y. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. What is the closest to 2\/5 in 0.2, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209.2 - 126. Let r = -83 + g. Which is the biggest value? (a) -0.3 (b) 12 (c) -0.1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 18 = -h + 25*v, 5*v - 28 = h. Let w = 1.7 - 1.7. Which is the second smallest value? (a) h (b) 6\/7 (c) w (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/120 + s**5\/30 - s**4\/8 + s**3\/6 - 37*s**2. Let p be l(-3). Calculate the greatest common factor of p and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285863.\nAnswer: 3, 17, 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 87\/58*(3\/2)\/3. Suppose 12 = -70*d + 67*d. Let v be (-3)\/36*-4*-3 + d. Sort v, 12, a in increasing order.\nAnswer: v, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (44\/3)\/((-2)\/(-3)). Suppose 0 = d*k - 23*k. Suppose -3*p + g + 202 + 42 = k, -2*p = -5*g - 154. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5\/7 + 34*h**4\/7 - 32*h**3\/7 - 942*h**2\/7 - 2736*h\/7 - 2376\/7 = 0. What is h?\nAnswer: -6, -3, -2, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140251 is divided by 13569.\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3424 or -1?\nAnswer: 3424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1745404 and 76\/8031.\nAnswer: 5236212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in 2, -1.26, -2\/7, -0.1?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20801 divided by 341?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 3. Let q be g(0). Suppose 0 = 2*n + q*c - 24, 0*n - c = 2*n - 32. Suppose -2*v + n = -16. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14932*q**4 + 135*q**3 - 566823*q + 11 wrt q.\nAnswer: 179184*q**2 + 810*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(0 + 0 - 2)*(1 + 2 - 6)*(-4*k + 0*k + 5*k) to l*k + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*m**2 + m**3 + 0*m**3 + 3*m**3.\nAnswer: 4*m**3 + 445*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2 - 2*q + 12*q - 24*q. Let m be j(-1). Are 10 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 1653*l**3 - 3297*l**2 + 1647*l.\nAnswer: -3*l*(l - 549)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1146 - 52*h - 1146)*(5*h + 4*h + 4*h) as o*h + i + s*h**2 and give s.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -513*n**2*q**4 - 18*n**2*q + 698*n**2 - 248*n*q**2 + n*q + 46*q**2 + 50*q wrt q?\nAnswer: -6156*n**2*q**2 - 496*n + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248 - 494. What is the hundreds digit of ((18\/(-12))\/3)\/(1\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/91*7*32. Calculate the greatest common factor of 13 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*h - 19, 3*s = h + 7 + 6. Solve -2 = -h*i - 4*j + 10, -5*i = 5*j - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - 2*r - 2. Let t be s(-2). Let y = t + 18. What is the highest common factor of y and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*2*(-1)\/2. Suppose v - 6*v - 10 = t, -2*l = -2*v - 196. Let s be 2\/(-5) + l\/15. Solve -j - 3 = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -821*j*r*v + 6*j*r - 16*j*v - 622*j - 27274*r*v + 4*r - 21*v - 15 wrt j.\nAnswer: -821*r*v + 6*r - 16*v - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/25 - (2 + (-4011)\/(-175)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 - 2*v - 4. What is the smallest common multiple of 22 and k(3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5462*s - 563*s + 189*s in the form p + t*s and give t.\nAnswer: -5836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -15740.\nAnswer: -1259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-6)\/t*t)\/(t*t*t**(-2\/3)))\/((t*t**(1\/2))\/(t\/t**6)))\/(t**(-4\/3)*t**1*t\/t**(-2)*t**(-5\/3)) assuming t is positive.\nAnswer: t**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 10. Suppose 3*v - 695 = -17*x + 1248, -2*x + 234 = -v. What is the greatest common divisor of x and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 + 2*a + 14. Let q be g(-6). Let d be 2*q\/(-48)*2. Suppose -x = -3*x. Is x greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 2669, 9030, 21419, 41846?\nAnswer: 72321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 9:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7952 != -7952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -7.7.\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 28 = 2. Suppose -3*a - 45 = -4*v - 10, 3*v = p. Let m = 11 + a. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722680, -1445359, -2168038, -2890717?\nAnswer: -3613396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3, 3*q + 2*w - 8 = w. Suppose q*p + 3*u + u - 40 = 0, 2*u = -5*p + 76. Calculate the greatest common factor of 112 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -179, -154, -107, -32, 77, 226, 421?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**3\/3 - 4*v**2 + 3*v - 513. Determine r(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 95, 217, 389, 611, 883?\n\"Answer: 25*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 124 = -3*j, 9*p = 5*j - 98 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 78*j**2 + 283*j + 3259. Let h be q(-81). What is the greatest common factor of 20881 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4659 is divided by 85.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 25*k**2 + 32 + 3*k**2 + (2 - 2 - 2)*(4*k**2 + 4*k**2 - 4*k**2) - 3*k**2 - 2*k**2 + 2*k**2.\nAnswer: 17*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from unnnipni.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 5, r: 4}. What is prob of sequence xx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**10)\/h)\/h*h\/(h\/(h\/(h**(-8)\/h))))\/(((h\/((h*h**(2\/21)*h)\/h))\/h)\/h**(-4)) assuming h is positive.\nAnswer: h**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 7. Let a = 2 + j. Let u = a - -3.9999958. What is u rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264350 is divided by 43990.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107424986 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126911.8*3.\nAnswer: 380735.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 5*n**2 - 4*n + 10. Let m be d(-5). Suppose m = -x - 2*x. Let f(p) = p**2 + 10*p - 9. Determine f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*o - 62471 + 61293 for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 greater than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5207 is divided by 166?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 3157*r**5\/5 - 3*r**2 - 27*r + 1791. What is the second derivative of z(w) wrt w?\nAnswer: 37884*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 3:24 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-63)\/(-132)))\/(44\/70686*153).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 871657 and -0.501.\nAnswer: -436700.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/12)\/((-1)\/(-2)). Let z be (-118)\/(-159) - i\/3. Suppose -39 = 42*f - 81. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b + 3*b. Solve 5*t - b*q = 3*t, 4*t + 4*q = -16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 2, b: 2}. Give prob of sequence ob.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 6920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 2*c - 1, -c - 3 = -5*s. Suppose -d = -v + c*d + 89, 3*v + 2*d - 245 = 0. Let p = v + -59. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502401 and 14697692?\nAnswer: 9851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240172046?\nAnswer: 2, 19, 6320317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2059, -2057, -2055, -2053, -2051, -2049?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 13*z**6\/360 + 7*z**5\/5 + 47*z**4\/12 + 84*z**2. Let a(i) be the second derivative of x(i). Differentiate a(k) wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from kggpgkdgkpkdkgdggh.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2 + 84*q - 87*q + 7. What is m(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 81*a + 10. Let s(i) = 27*i + 3. What is 2*p(b) - 7*s(b)?\nAnswer: -27*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmqqmjmmmcomxcmmm. Give prob of sequence qoj.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18148 by -2960.\nAnswer: 4537\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 166486339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 9 + 19848*g - 38917*g + 19070*g.\nAnswer: g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:57 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13003566 - -6?\nAnswer: -13003560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308616.3 months to millennia.\nAnswer: 25.718025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1449495\/(-567)*4\/(-10))\/((-3)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 3*x + 3*x + (x + x - x)*(5*x - 2*x - 2*x) - 5*x**2 + 4*x**2 - 3*x**2 + (1 - 2*x - 1)*(33 + 5*x - 33).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -138 + 3?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113322081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1096071002 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-3))\/((-4)\/(2*-6)). Let k be 0\/(-3) + (-12)\/x. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 14*n + 1. Let w be f(-14). Suppose 4*r + 8 = -2*q, -2*r + 3*r - 5*q = 20. Solve -2*s + 3*s - w = r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 19 = 4*c + g, 2*g = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 19*j**2 + 49*j**2 + 3*j + 0*j - 2. Let p be y(1). Let v = -14 + p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.108?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/128, 0.5, 5, -0.8, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/4)\/(48*(-19)\/(-2432)))\/((-23)\/3588).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89363, 362796, 818511, 1456502, 2276763, 3279288, 4464071, 5831106?\nAnswer: 7380387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4856486 from -66057.\nAnswer: -66056.5143514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -519926 or -519924?\nAnswer: -519926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320122 (base 5) in base 3?\nAnswer: -1100001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 43*k + 5. Let b be ((-525)\/(-42) + (0 - 13))*-2. Give x(b).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/7311 + 123979\/1125894. Calculate the common denominator of -11\/28 and n.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 4) + (18 + -15 - 0) + 71\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 9564 + 2294 = 0. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/29 - -49\/145. What is the closest to -1 in -0.08, 4, u?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 7*a - 905. Let p be h(39). Calculate the highest common divisor of 2891 and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w\/(w**(1\/2)\/w)*w*w*w*w*w)))\/w*w)\/((w*w**3*w*w)\/w))\/(w**1*w**(-1\/15))*((w**(-2\/9))**(5\/8))**39 assuming w is positive.\nAnswer: w**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-8) + 775\/620. Find t such that -g - 15\/8*t + 3\/8*t**3 - 3\/8*t**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n. Let j(w) = -7*w**2. Give -j(k) + 2*l(k).\nAnswer: 5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslsysliss. Give prob of picking 1 l and 3 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = u. Solve m + 1 = 0, 6*j - u*m = 3*j - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122999 is divided by 2303.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - v - 4*v + 18 = 0, -4*k - 36 = 3*v. Let u be ((1782\/24)\/k)\/(2\/(-48)). What is the highest common divisor of u and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + (0 - 0))\/5. Let f = 0 + -0.4. Which is the nearest to 1? (a) 3 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 4*i. Let x be 0 - (i + (-5)\/15). Factor -2\/3*y**3 + 2\/3*y + 0*y**2 + x*y**4 - 1\/3.\nAnswer: (y - 1)**3*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (582 + -632 - (5 - 1)) + 13.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*s = -647*s + 366*s + 1349 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 49266*t - 6*t**3 - 98666*t - 5*t**2 + 49402*t. Suppose -n + 0 = 4. Let l = 2 + -7. Let g(b) = 5*b**3 + 4*b**2 - 2*b. What is l*g(y) + n*f(y)?\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30863349 and 297?\nAnswer: 30863349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 + 48*l**4 + 328*l?\nAnswer: 40*l**3 + 576*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3019.\nAnswer: -1509.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6963999 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -4478\/11 = -407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16733 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/31974 and 29\/266?\nAnswer: 4252542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, -21, 1\/2, -4\/9, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-4 - 0) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 1063, 3568.\nAnswer: -29, -3, 1063, 3568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -16*m**6 - 47*m**3\/3 - 28. What is the third derivative of p(i) wrt i?\nAnswer: -5760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15224.666 rounded to the nearest one hundred?\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 - 5*k**4\/12 + k**3\/2 - 3*k**2\/2 - 20*k. Determine b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(475) + 2 - sqrt(475)) + sqrt(475) - (4*sqrt(171))**2*5.\nAnswer: -13678 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -552580 divided by -110516\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3613414 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -532 + 26 - 515*v + 1276*v + 3370*v with respect to v.\nAnswer: 4131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*o + 181*o = -a - 8, -8*o + 1 - 3 = -7*o + 3*a for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 293118 and 8526.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 7:41 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 2*z**2 - z + 6. Let u be n(3). Find the common denominator of (u\/9)\/(-7) + (-243)\/276 and 47\/8.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4444\nAnswer: 1\/4444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 3}. Give prob of sequence czc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321.09299 nanoseconds to days.\nAnswer: 0.000000000015290428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10356.926218 rounded to 1 dp?\nAnswer: 10356.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-10)*86\/(-86)*308\/88.\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2\/40*-2). Let l = j - -19. Calculate the greatest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880845573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 716, 5784, 19610, 46598, 91152, 157676?\nAnswer: 250574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11303 + 12212030313?\nAnswer: 12212102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 2067*j + 4272489.\nAnswer: (j + 4134)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/7 - 192*w**4\/7 + 10*w**3\/7 + 960*w**2\/7 - 8*w\/7 - 768\/7 = 0?\nAnswer: -96, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 65*v + 68*v = 86, -5*p + 104 = 2*v. Solve -5*m + p = 0, 6 = 2*y - 0*y + 2*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325 + 315. Let i(s) = s**2 + 12*s + 22. Let p be i(q). Suppose 0*g = -g + 3. Solve 0 = -5*n + g*n + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131.1649, -2, 121, -4.\nAnswer: -4, -2, 121, 131.1649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59523 is divided by 141?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 2. Solve 3*p = 6*p + 3*u, d*u = -p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 0*m**2 - 27*m**2 - 3*m**2.\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**2 + 6*p**2 - 35*p + 183*p**5 - 46*p**5 wrt p?\nAnswer: 8220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-91)\/(-105) + (-4)\/6. What is the second biggest value in -3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -37*s + 2. Let n(f) = -f**3 - 3*f**2 + 4*f - 3. Let b be n(-4). Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.131 - 72.869. Let l = s - -72.99999862. What is l rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 33*p + 53*p + 670 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 4 - 4 + 0*o**2 + 15 - 8.\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2036567, -8146309, -18329213, -32585279, -50914507?\n\"Answer: -2036581*n**2 + n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbbxpbbbxxipxxbbb. What is prob of picking 1 i and 1 x?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728797033?\nAnswer: 73, 1721, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m**3 - 5*m**2 + m + 1. Calculate y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -84, -111?\n\"Answer: -27*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 11*i - 7. Let c be 8\/28 + (-325)\/35. What is the tens digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c - 4*c)*(4*c**2 + 11*c**2 - 10*c**2 + 2*c**2 + 0 + 0 - c**2 - 1 + 1 + (c + 0*c + 0*c)*(-2*c - c + c)).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614106279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.87267 centuries in millennia?\nAnswer: 9.487267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u + 52050 = 211890. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a**2 - 17*a - 17. Suppose -20 = d - 4*j, 5*d + 4*j = 23 - 147. Let k be (5\/3)\/((-10)\/d) + 2. Let h(i) = 11*i**2 - 6*i - 6. Give k*c(n) - 17*h(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) 1\/2 (c) 3.6 (d) -1 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 47) + 25 + (-5)\/(5\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 1276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132076.\nAnswer: 2, 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 14*h - 29. Let p be b(8). Suppose p*i + 19352 = 100501. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 10 = -12*m. Solve -m*l + 9*n - 4*n = -5, -5*l - 5*n + 35 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 12 = -z, -4*r - z = 197 - 152 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h + 2*h)*(-4 + 0 + 2)*(-5*h**2 + 61*h**2 + 9*h**2) as m + d*h + g*h**3 + y*h**2 and give g.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12)*2*-10. Find the second derivative of -j**2 - 5*j + 0*j**2 + 3*j**u + j**2 wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9*1)\/(3\/3). Let t be (2 - 5) + 28\/j. Which is smaller: 1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 277901 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 12*u**2 - 3*u + 181. Give h(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v - 5 = 0. Suppose 3*q - 2*q - v = 0. Let z(r) = 4*r. Let w be z(2). Solve -3*h - q - w = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 44109*r + 617748. Give m(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 39. Factor -4*j**2 - 65*j**5 + 36*j**5 - 2*j**m + 31*j**5 - 4*j**3.\nAnswer: 2*j**2*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2 + 1012\/(-508)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -149. Calculate the remainder when t is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9278*d + 3780*d = 8424*d - 222752 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 3, -4*r - 7 = s. Let v(c) be the third derivative of -5*c**4\/24 + c**2. Let m be v(r). Solve 0 = m*g - 4*j + 23, 0*g + 3*j - 21 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 302759 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/5)\/j))\/j*j*(j\/(j\/(j**(-26)*j*j)))\/j assuming j is positive.\nAnswer: j**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6616464?\nAnswer: 2, 3, 307, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 + 5 + -4 + (55 - -3 - 13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47515, -49721, -51927?\nAnswer: -54133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -28 + 76 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-63) + 96\/(-672) + (-6)\/((-2160)\/1295)?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2\/15 (c) -1 (d) 32 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(44646*n + 7523*n + 16264*n + 16933*n + 5014*n - 12929*n) to x*n + q and give x.\nAnswer: -154902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 8*k - 5 = 0. What is the common denominator of 45\/4 and (36\/(-4))\/(2*k\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 14*v**2 - 18*v - 17. Is l(-13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/126 - (-4416)\/2576.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57.9 - -57.83. Which is the third biggest value? (a) 0.9 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -762.6 * -0.21\nAnswer: 160.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*z = 493, -4*s + 1972 = z - 0*z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5546 and 472.\nAnswer: 22184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 - 1325*a**2 + 4201970*a - 41882200 = 0. What is a?\nAnswer: -1063, 10, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (189\/36)\/21*14*2. Let v(s) = 7*s + 3*s - s + 6*s**2 - s**3 + 3. Let n be v(c). Solve 4*p = -3*h + 27, h + 3*h - n = p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 9. Let i be d(4). Solve 2*b = i*z + b + 4, b - 4 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/7, -0.5, 518, 4\/5 in decreasing order.\nAnswer: 518, 5, 4\/5, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.4 + 11.6. Let t = 8.8 + l. Which is the second smallest value? (a) t (b) -4 (c) 16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**3 + 16*b**3 - 5*b**3 + 26*b as o*b**2 + g + k*b + p*b**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.54781 millilitres in litres?\nAnswer: 0.05454781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 61, 87, 113, 139?\n\"Answer: 26*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532975825.\nAnswer: 5, 21319033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -29, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 19*l + 98. What is the third smallest value in l, -0.1, 1.2, 4\/7, 3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224147 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*x = -6*v + 24, 0 = 2*v - 3*x + 9. Suppose -2*z - 2*s + 4 = 0, -v*z + 2*z + 3*s = -2. Suppose -z*d = d. Solve 2*n - 1 + 7 = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 32913*u + 6. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27744 divided by 289.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*m + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, j: 4, o: 6}. Give prob of picking 3 r and 1 o.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -716, -1436, -2156, -2876, -3596, -4316?\nAnswer: -5036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -275219 minus -182083.4?\nAnswer: -93135.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Suppose -5*y + 63 = 2*u + 365, -y - 453 = o*u. Let p = u - -236. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(20 - 7 - 7)*((0 + 1 + 0)*(2*d + 0 + 0) - 2*d + 7*d + 7*d).\nAnswer: 168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 4\/(-4 - 0). Let b = t + -1. Suppose 0 = b*w - 11 - 29. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 101, 194, 285, 374, 461, 546, 629?\n\"Answer: -i**2 + 96*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 32 in descending order.\nAnswer: 32, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7333, 7470, 7607, 7744, 7881?\n\"Answer: 137*u + 7196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1750060 and 93\/1820?\nAnswer: 12250420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:02 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 1099488?\nAnswer: 1099488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1057\/1745 - 2\/349. Let j(m) be the first derivative of 0*m + 2*m**3 - 5 + x*m**5 + 0*m**2 + 9\/4*m**4. Solve j(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 5)\/(-1 + 0). Let c be 0\/(-1)*(-1)\/s. Is c bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 277 + 4*a**2 - 277.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46588081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -186 - 38. Let a = -185 - c. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5 + 3*k**4 + 32*k**3 + 60*k**2 + 32*k = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-10)*(-8)\/3. Suppose -5*s - 27 - 13 = 3*r, -4*r - 64 = w*s. What is the lowest common multiple of (-408)\/r + 2\/(-5) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgd when three letters picked without replacement from {f: 5, g: 2, d: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b**2 + 276*b + 1659. Determine r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u**(-1\/2)\/u*u)))*u*u)\/u)**(-1\/7)*(u\/(((u**(-2\/3)*u)\/u*u)\/u))**(-13\/5))**(6\/31) assuming u is positive.\nAnswer: u**(-197\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:35 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -123. Let h = -35 + a. Which is greater: -64\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1056)\/14 + (-42)\/(-98). Let o = q - -80. Solve -v - t = -o, 4*v - 4*t = -6*t + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -40*i**2 - 8*i - 109. Let q(y) = 13*y**2 + 3*y + 36. Let x(l) = -2*m(l) - 7*q(l). Differentiate x(p) with respect to p.\nAnswer: -22*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1, f: 2}. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*s = -178*s - 72. Is s\/((4\/(-2))\/34) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14931 and 3969.\nAnswer: 313551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 40 = -2*g, -5*g = -29*x + 25*x - 31. Let b(i) = -5*i - 5. Let v(h) be the second derivative of h**3\/6 + h**2\/2 + h. What is g*v(w) + 2*b(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 23, 53, 105, 185, 299?\n\"Answer: m**3 + 2*m**2 + m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 246 = -20*m - 402 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnddddddnnn. Give prob of picking 2 d.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 6*c**3 - 3*c**3 - 491 to the form t*c**2 + j + w*c + h*c**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.9. Let k = -4.1 - g. Let h be (22\/8 + -3)\/((-14)\/(-16)). Is k less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:15 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 33*l + 0 + 84*l - 3.\nAnswer: 117*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 30*y - 129. Determine b(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) + (-6749)\/(-18). Let o = f - 373. Put -2, o, 0.2 in increasing order.\nAnswer: -2, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42716351 and -2?\nAnswer: 85432702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10144546.\nAnswer: 2, 17, 298369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let d(s) = 2*s**3 + 2*s. Let q be (-20)\/6 - (-5)\/15. Let o(k) = q*h(k) + d(k). Find the second derivative of o(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b + 15046 = 15214 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) -2 (c) -1.27 (d) -0.2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x**(-3\/16)\/x)\/x)\/x)\/x**(-2\/5)*x**(-1\/24)*x*x**1 assuming x is positive.\nAnswer: x**(281\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 7*b + 3*a - 19, -24 = 2*b - 4*a. Let n(i) = -3*i + 2. Let g(u) = 2*u - 3. What is b*g(o) - 3*n(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 1. Let o be (-1)\/3*(-36)\/4. Suppose -2*u + 23 = 2*u + o*r, 0 = u + 4*r - 22. What is x(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 1077. Let d(t) = -2*t**2. Give d(z(j)).\nAnswer: -8*j**2 + 8616*j - 2319858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 266 + 272 = 0. Suppose 6 = -5*q + 3*q + 2*t, -5*q = 4*t + 33. What is the second smallest value in j, 0, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185994229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52701\/4888 - -462\/47. Calculate the common denominator of 71\/636 and d.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 572*r**3 - 10*r**2 + 15*r - 1. Let b be f(2). Let u = -592 + b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**3 + 25*d**3 - 56*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 16) to base 7.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((-18)\/(-4))*459\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -5*d**5\/18 + 5*d**4\/9 - 4*d**3\/9 - 8*d**2 + 6*d. Let h(o) be the first derivative of c(o). Find p such that h(p) = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*d - 46. Suppose 4*x - 3*k = 23, 2*x - k - 14 = 3*k. Suppose x*w - 29 = d. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + 16 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = -1. Let p = q - 4. Solve a - 4*a + 3 = p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 2. Let r(d) = 6*d - 12. What is -6*r(i) - 34*u(i)?\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -58458 = -58579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -316, -1176, -2598, -4576, -7104, -10176?\n\"Answer: r**3 - 287*r**2 - 6*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39167304 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 = -0. Suppose f*d - 2*d = 955. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 43*k + 19783 = 2*n, 0 = -2*n - 2*k + 19788. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = 0, n + 4 + 118 = -2*t. What is the third smallest value in 5, n, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252611184 to the power of 1\/3, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let j = 2.73 - 3.13. Which is the nearest to -0.1? (a) p (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - (-1 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let c be u(-1). Let h = c - 3. Let q be h + ((-15)\/4)\/(-3). Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w + 1. What is j(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21413 + 54550?\nAnswer: 120403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 1.4. Let a = 0.33 - 0.03. Let c = i - a. What is the third biggest value in c, 0.3, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**2 - 27*i**3 + 9*i - 4 + 0 + 10*i + 28*i**3. Let g be h(8). What is the units digit of ((-42)\/49)\/((-2)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -130\/1176609 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y - 10. Let t be o(-8). Let l(w) = -w**3 + 6*w**2 - 7*w + 6. Let c be l(t). Find the common denominator of 85\/6 and 141\/c - 4\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 16*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 592, 3.\nAnswer: -1, 3, 5, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*f + 0 = -8, 5*k + 17012 - 16997 = -f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -35 and -65142 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*m**2 + 520*m**2 - 221*m**2 - 29*m + 9*m.\nAnswer: 64*m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 386 + 82. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-1)\/(-6) - (-8)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277.6 + -256. Let u = 29 - y. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1 + sqrt(125) - sqrt(125)) + 5))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 346.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.04+-0.134\nAnswer: -2.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-160)\/26 + 8\/52. Let r(m) = m**2 + 4*m - 13. Let i be r(u). What is the units digit of i + (-24)\/(-5 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(832) + sqrt(1053)*-4 + -2 + (1 + sqrt(832) + -1 - sqrt(832))**2.\nAnswer: -28*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d - d)*(1582 - 1034 - 937) + 1 + d - 1 + (0 - 3 + 1)*(0*d + 3*d - d) to r*d + l and give r.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3654*j**4 + 444*j**3 + 98*j**2 + 1181*j + 12 wrt j.\nAnswer: 87696*j + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -2)**2 + -6*(1 + sqrt(2)).\nAnswer: -18*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r**5)**(-7)*((r\/(r*r**(-1)*r))\/r)**(-3\/5)*(r**(2\/9)*r)**(1\/5) assuming r is positive.\nAnswer: r**(-592\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313 - -313.8. Which is the fourth smallest value? (a) l (b) -0.1 (c) -2\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -2 (c) 1\/7 (d) -662 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.8. Let p = 6.2 + -4.2. Which is the third biggest value? (a) -3\/5 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5 + (-2)\/14 + (-11 - -6)\/(-5).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) 0.002 (d) -6 (e) 337\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -39*o - 2. Let a(c) = c**3 + c**2 - c - 4. Let s be a(0). Let w be f(s). Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 633, 2500, 5599, 9930, 15493?\nAnswer: 22288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4934 + -4934. Let v(w) be the first derivative of j*w**5 + 0*w + 31\/3*w**3 + 0*w**4 - 5*w**6 + 0*w**2 + 11. What is the third derivative of v(h) wrt h?\nAnswer: -1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*4\/6*3\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 37*p = 756. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1531*l - 8*l**3 - 24*l**3 - 441*l**4 + 442*l**4 wrt l?\nAnswer: 12*l**2 - 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 l, and 1 o when four letters picked without replacement from {m: 3, l: 1, n: 4, v: 1, o: 10}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 0*j + 3*j + (j - 3 + 3)*(1 - 1 - 1) + 1442*j - 1291*j + 1218*j)*(-j + j - 2*j**3).\nAnswer: -2732*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 3*r + 3213. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.4 - 24. Put -0.08, b, -5 in ascending order.\nAnswer: -5, -0.08, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 p, and 1 y when four letters picked without replacement from iipipppipyp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*v - 4*n - 78, -3*v + 45 = -2*n. Let g be -2 - 5\/(v\/(-9)). Suppose 32 = s - g. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Find the third derivative of 0*d**2 - 6*d**s + 2*d**3 + 4*d**2 + 0*d**2 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 21*v**5\/160 - 99*v**4\/16 + 357*v**3\/4 - 147*v**2\/2 + v - 171. Find c, given that g(c) = 0.\nAnswer: 2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 39 = 71*n - 80. Calculate the remainder when (2 - (-1 + 0))*1 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/h**(-5)))\/h)\/h*h**(-3\/8))\/((h*h**19)\/h**10))**(1\/12) assuming h is positive.\nAnswer: h**(-139\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.39814*0.03\nAnswer: 0.0419442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 511654 + -17?\nAnswer: 511638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*7620\/45. Let x = -118 - y. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 9*m - m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2828503 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 6*s + 4. Suppose 12*n = -6*n. Suppose n = g - 7*g + 30. What is w(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 201, 470, 849, 1338, 1937, 2646?\n\"Answer: 55*v**2 - 6*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -36. Let q(o) = 4*o**3 + 2*o**2 - 1. Let c = 2 - 1. Let z be q(c). What is the highest common divisor of z and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5704598 is divided by 438815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8824203 to the nearest integer?\nAnswer: 2971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 24. Calculate the least common multiple of 20 and ((-32)\/i)\/((-6)\/9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.87489 months to millennia.\nAnswer: 0.0040729075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1074, -2098, -3118, -4134?\nAnswer: -5146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446 (base 8) to base 10.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8370.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5462*6.\nAnswer: -32772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4048 divided by -5.\nAnswer: 4048\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7*y - 84 = 0. List the prime factors of (-2)\/(y\/(-3)) - (-5283)\/21.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.13 - 17.03. Which is the fourth smallest value? (a) 0.2 (b) -2 (c) h (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1107 (base 13) to base 3\nAnswer: -10020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 70 = -4*m. Let y(d) = -30*d + 20. Let u be y(-2). Suppose -34 = -2*r - 3*i, -6*r + r - 5*i + u = 0. Is m > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -36, -29?\n\"Answer: 7*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 5*m**2 - m - 2. Let b(c) = -c**3 + 6*c**2 - 2*c - 3. Let q(z) = 3*b(z) - 2*k(z). Let u(l) = 2*l. Let y be u(-3). Is q(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 80 = -30. What is the remainder when m is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479690760 to the power of 1\/2, to the nearest integer?\nAnswer: 21902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15))\/(297\/1215).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 87, -4067?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 0.7, -5, -0.9 in descending order.\nAnswer: 110, 0.7, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -69484 and 1671626.\nAnswer: 1602142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:20 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 4 + 4 + 7*x**2 + 5*x + 1. Suppose 1 - 7 = n. What are the prime factors of z(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1*sqrt(2057))**2 - sqrt(17) - sqrt(17)))*-4.\nAnswer: -8212 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - 21. Let l be (-19 + 23)\/((-8)\/(-6)). Let d(m) = 1. Calculate l*z(j) + 63*d(j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 375.1197 - 381.4196957. Let v = 6.3 + a. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4850, 9710, 14570, 19430?\nAnswer: 24290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s + 83. Let i be t(0). What is the units digit of i - 2*(-4)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 2545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21294473, 21294448, 21294411, 21294356, 21294277, 21294168, 21294023, 21293836?\nAnswer: 21293601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.86 in -6, -2, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374909713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5679721 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 36*d + 106. Suppose 0 = v - 5*r - 25, v = 2*v - 4*r - 24. What is the remainder when v is divided by t(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23.4 and -8274602.\nAnswer: -8274625.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 9. Let f be w(6). Suppose 0*i - f*i = -12. Does 10 divide (-78)\/i*4\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 72*o**3 + 5*o**2 + o + 6. Let h(b) = -108*b**3 - 7*b**2 - b - 9. Let p(c) = -5*h(c) - 7*j(c). What is the second derivative of p(d) wrt d?\nAnswer: 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17192 and 2.\nAnswer: 34384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 725 - 101. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23407621 + 2?\nAnswer: 23407623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 272 + 252 = 0. Let h(z) = 15 + z**2 + 15*z + d*z - z - 10*z. Give h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 140.57679 and 2.\nAnswer: 281.15358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (0 + sqrt(180) - sqrt(180)))*-1 + -2 + 3)**2 + ((sqrt(25)*1 + sqrt(25))\/sqrt(5) + 5 + (-2*sqrt(20) - (sqrt(45) + 0)))**2.\nAnswer: -62*sqrt(5) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*g + 50 + 5 = 0, -3*g = -b - 29. Let h = b + 55. Let i be (4\/2)\/((-2)\/(-245)). What is the highest common divisor of i and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/11 - 23*k**2\/11 + k\/11 + 23\/11 = 0. What is k?\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 15*c - 304. Let t(l) = -l**3 - l**2 - 4*l - 3. Let r be t(-4). Suppose r = a - c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(28))**2 + sqrt(20)\/sqrt(4)*5.\nAnswer: 5\/4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237*l**4 - 2024*l**2 wrt l?\nAnswer: -5688*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 + 4*r**3 - 13*r**2 - 2*r**4 - 5*r**3 + 7*r**4 to y + f*r**3 + q*r**2 + l*r**4 + p*r and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 414076506 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -677, -4931, -16481, -38975, -76061, -131387?\n\"Answer: -608*w**3 + 2*w - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from yyyywyyyywyyrrww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1357694 and 6.\nAnswer: 4073082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 6) to base 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 17*p + 4. Let d(o) = o - 1. Let i(z) = 4*d(z) + s(z). Let u be i(13). Suppose u = -2*r + 117 + 181. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -17. Suppose 4*m + 20 = a. Let c = 15 + m. Solve 2*n + c = -2*q, -q + 4*n + 2 + 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 899 + 4397 - 3498.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 1453*u = -1473, 4*j - 36281*u = -36282*u + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212308.\nAnswer: 2, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120554073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2277*f - 136584. What is m(60)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034673777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 2, 3*d = 4*j + 322. Let x = d + 17. Let a = 121 - x. Put a, 0, 1 in decreasing order.\nAnswer: 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + 7. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 - 50*u**3\/3 + 353*u**2 - 5296*u\/3 + 4288\/3.\nAnswer: -(u - 8)**2*(u - 1)*(u + 67)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30145 (base 6) to base 2\nAnswer: -111101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/459)\/(((-7)\/(-189)*-6)\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 416 = 42*n. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 17 = 2*r - 17, 0 = -5*p - 2*r - 47. Let q be 2\/(-6)*p\/6. Let x = 135 - 131. Put q, x, 3 in descending order.\nAnswer: x, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1206*r - 29905. What is v(25)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 158.3295 times -5\nAnswer: -791.6475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(68)*3 - sqrt(68)) + sqrt(68) - sqrt(68))*-1)\/(sqrt(256) + (sqrt(8)*1)\/sqrt(2))*-4)**2.\nAnswer: 4352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/22, 4, 1, 41 in descending order.\nAnswer: 41, 4, 1, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 562, -3, 2, -2, 247, 1, 4 in descending order.\nAnswer: 562, 247, 4, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 215, 482, 847?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/689976 and 29\/198.\nAnswer: 7589736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46526 is divided by 7752?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 - 0.6. Let j = -8 - c. Is j smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133100 (base 9) to base 14.\nAnswer: 2173a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46425 (base 7) to base 13.\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -622.56 and 890.84532?\nAnswer: 1513.40532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -10)*(2\/(-126))\/(7\/(-42))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-15) + 10\/75. Let x be 12*3\/g*10 - -3. Suppose -58*r - 220 = -x*r. Calculate the highest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8 + 2. Suppose -o*k + 125 = -3*q, -k = -3*k + 4*q + 50. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 13572 = 41*m. Let d be (2\/(-3))\/(3*1\/m). Which is bigger: d or 102?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13212 - -1000?\nAnswer: -12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0502 + 696172?\nAnswer: 696172.0502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 14 = -4*o. Let f(r) = r - 2. Let j be f(o). Solve -4*w + 4*q - 16 = 0, 4*q - 8 = j*w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6723*-0.109878\nAnswer: 738.709794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731 = -36*n - 7*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 5\/6*l**3 + 3*l - 1\/14*l**7 + 0*l**6 + 0*l**5 + 0 + 0*l**4 + 0*l**2. Find the second derivative of p(m) wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgggvgvrvgvrvv. Give prob of sequence gg.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/31))\/(b*b**(-8)\/b)*((b**17\/b)\/b)\/b**11)**39 assuming b is positive.\nAnswer: b**(15795\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 28 - 7 - 3*o.\nAnswer: -6*o - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + (3 - 7)*-9 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54005.\nAnswer: 5, 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 527, -5, -3 in descending order.\nAnswer: 527, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 + -256.7. Let k = g + -12. Let r be (-8)\/5 + 2\/2. Which is the nearest to -1? (a) r (b) k (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -747 - -1113. What are the prime factors of m?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1616 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from bbbyhbybyhy?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 11*h**6\/60 - h**4\/24 + 8*h**2. What is the remainder when 82 is divided by z(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(sqrt(18)\/sqrt(6) + 3).\nAnswer: 18*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 + 672 = -38*c. Sort c, 3, 5, 1, -2 in decreasing order.\nAnswer: 5, 3, 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - i - 10, 2*x - i - 8 = 0. Solve -2*s - x*u = 6, 0 = -u + 3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -17313, -391\/2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 113*i - 37 + 14 + 14.\nAnswer: -113*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/20 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*2)\/(-4*sqrt(36)) - ((5*sqrt(88) - sqrt(88))\/sqrt(8) - (-5*sqrt(11) + -5)).\nAnswer: -37*sqrt(11)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 6, 343, 3, 2, 1.\nAnswer: -2, 1, 2, 3, 5, 6, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -16. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*249.338.\nAnswer: 132.14914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*p - p**2 + 1174*p**3 - 573*p - 581*p - 191*p**3 wrt p.\nAnswer: 5898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -46. Which is the nearest to 0? (a) -4 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**5 + 89*t**4 - 110*t**2 - 60*t**6 - 1 - 102*t**6 - 89*t**4 wrt t?\nAnswer: -19440*t**3 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46516323.\nAnswer: 3, 7, 47, 47129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/6)\/x**(1\/14))\/((x*x\/((x*x*x**(-1\/6)\/x)\/x))\/x**(-2\/13)))**(15\/2) assuming x is positive.\nAnswer: x**(-6985\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, 0.1, -6, -4\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*p = -24*w - 2, p + 27*w - 22*w - 3 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**5)\/w**9*(w*w*w*w**(-3\/2))**(3\/46))**(-47) assuming w is positive.\nAnswer: w**(55789\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 139*j - 14. Calculate r(-69).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.361 take away -1556?\nAnswer: 1545.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -79 + 83. Solve y*p - 5*b = 3*p + 16, -7 = 2*p + 3*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1924 = -4*a - 2032. Let c = 42 - a. What is the remainder when c is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 8*m**2 + 8*m - 32.\nAnswer: -2*(m - 4)*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1620, -1638, -1652, -1662, -1668, -1670?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 37358 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**8\/1120 - x**7\/630 - x**4\/24 + x**2. Let i(f) be the second derivative of z(f). Factor i(u).\nAnswer: 2*u**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1302033320 + 302?\nAnswer: 1302100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -86, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 - (-3 + 1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16*k**2 + 6. Let l(v) = v**2 - 1. Let x(h) = c(h) + 6*l(h). Let q(s) be the first derivative of -2*s**3\/3 + 1. Calculate q(x(w)).\nAnswer: -200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1276*0.8.\nAnswer: 1020.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 2, z: 1}. What is prob of sequence ihz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18041 - 18040.99. What is the biggest value in 0.1, -35\/4, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173197.7 micrograms in tonnes?\nAnswer: 0.0000001731977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6 and (11\/(-72))\/(66\/1386).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -9 + 9 - -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976.6922 rounded to the nearest 10?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1390442033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 + 7 = 0. Let k = d + -12. Suppose 0 = k*o + 3*i - 67, -i - 2 = i. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(3)*-1.\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*a + 181, -3*y + 4*a - 5*a = 102. Let r = y + 32. Let u(i) = 4*i**2 + 2*i + 7. What is the units digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 14.08. Let s = -5.08 + u. Let w = -4.9 - s. Which is the nearest to 1? (a) -1\/10 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.8 (b) 0 (c) -0.1 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 48 = 5*f. Suppose 19 = 2*u - i, -5*u + f = -i - 41. Calculate the smallest common multiple of 117 and u.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/44*476\/(-170) and 29\/920.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81976876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2946095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + -1)*3 + (-4 + sqrt(2))*2*2)**2.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9115914 by -3.\nAnswer: 3038638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 43 = a - 11, a = 5*x + 258. Let y be 1\/(-5) - x\/5. What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0 (c) -0.2031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 = -7*y - 46*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/(252\/48) - -5289?\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -85 + 19. Let y(l) = -5*l + 115. Suppose -s - 3*m = s - 28, -2*s + 5*m - 4 = 0. What is the remainder when s is divided by y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -842880 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052175 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -1061\/20, 5, -551?\nAnswer: -551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77426 is divided by 753.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7214.236 years to millennia.\nAnswer: 7.214236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -3. Let j = 551\/6 + -92. Which is the third biggest value? (a) k (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33 and 63?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.097 + 0.097. Let u = -12 - s. Let g = -0.4 + 0.8. Which is the second biggest value? (a) u (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqkcfcqsqckckkcqkk. Give prob of sequence csk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.39. Let r = 113\/155 + -4\/31. Which is the second smallest value? (a) 1\/5 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Find the third derivative of -4*r**5 - 4*r**2 + i*r**5 - r**5 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = -3*a + a, 2*y + 2*a = 8. Let k = y - 17. What is the units digit of (6\/(-9))\/(2\/k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 906, 1095, 1438, 1941, 2610, 3451?\n\"Answer: a**3 + 71*a**2 - 31*a + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.458 - -0.058. Put -5\/7, u, -1 in increasing order.\nAnswer: -1, -5\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.32 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487\/5 < 3298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = -2*j + 37, -3*j + 53 = -4*k. Let b = j + -7. Sort 2, b, -1 in increasing order.\nAnswer: -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 n, and 1 y when four letters picked without replacement from {y: 12, j: 3, n: 3}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2806589 - 431.018.\nAnswer: 2806157.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 219424286 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(2\/3)*s*s*s)**(-2\/87)*s**(-1\/19)*s\/s**3 assuming s is positive.\nAnswer: s**(-10825\/4959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.2, -13, -22, 132?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*s - 24. Suppose -a = s - 13. Suppose a*m = m + 16. Solve -5*k - 25 = 3*i - 0*k, 10 = -m*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -165*t**4\/8 - 77*t**3\/6 + 1208*t**2. Let y(l) = 13*l + 2. Determine -4*d(h) - 154*y(h).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340 + -1702\/5. Suppose 1 = 4*s - 7. Suppose t + 3 = -4*p + s*p, 4*t - 2*p - 28 = 0. Which is the third smallest value? (a) t (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -5 + 0 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 2. Let b be o(3). Let s be b\/25 - (1407\/(-5) - 2). Suppose 107 = 5*h - 2*f - s, 0 = -2*h - f + 165. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 + 3952*q**2\/3 - 7892*q\/3 + 3944\/3.\nAnswer: -4*(q - 986)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223934370 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/9 (b) 0.5 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619.3183 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8120.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 23*h + 80 = -2*i, 4*i + h - 137 = 7*i for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.40640542 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 - 32*b**4\/3 - 4*b**3\/9 + 352*b**2\/9 + 242*b\/9 = 0.\nAnswer: -1, 0, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1403417.\nAnswer: -2\/1403417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*k*p**3 + 3*k*p**2*y + k*p**2 - 1401*k*y - 2*p**3*y + 29*p**3 wrt y?\nAnswer: 3*k*p**2 - 1401*k - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*d = 16, -4*c + 1856 = d + 1842. Solve 5*r = b - 2*b - c, b = -r - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 - 261. Calculate the lowest common multiple of 3 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 138*j - 1261. Determine w(-21).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/5*4\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:17 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 + 1. Let j be d(1). Suppose -61 = -4*w + 67. Let q be (-4)\/j + w\/12. Solve -q*z - z = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 13, w: 2, k: 3}. Give prob of sequence kr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2 + (-4)\/(-3). Let d be (32\/(-8))\/((-2)\/(-4)). Let f be (-2)\/(-24)*d\/(-6). Which is the second biggest value? (a) -5\/3 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:47 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8460 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58, -76, -88, -88, -70, -28, 44?\n\"Answer: u**3 - 3*u**2 - 16*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -38*u**3 + 6*u**2 + 3*u - 15. Is b(-3) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7273, -0.4, 0.1, 3\/5 in descending order.\nAnswer: 3\/5, 0.1, -0.4, -7273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 995226 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134606599.\nAnswer: 79, 577, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406404492 divided by -754.\nAnswer: -538998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*q + 23 = 0, -2 + 27 = 5*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-1\/5)))**(9\/11))**(-49))**(1\/10) assuming n is positive.\nAnswer: n**(-441\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 2 + 2)*(-444 + 93 - 377)*(0 - 1 + 0) as d + t*j and give t.\nAnswer: 1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {n: 2, i: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28942806 = 62*l + 11*l + 29*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -287.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**2 - q + 7. Let f(v) = -6*v**2 + v - 6. Suppose 10*z = 11*z - 5. Let u be -7*(1 - (z - 3)). Suppose 0 = 2*o - u - 3. Determine o*f(y) + 4*c(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101288043?\nAnswer: 3, 3751409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.24 and 165 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 303684*443 - 0\/(-2). Suppose 12*d - s = 8*d. Suppose 13566997 = -8*l - d. Round l to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58681463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95377 is divided by 206.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20*(-14)\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0 - 31\/10*p**5 - 81*p + 0*p**4 - 81*p**2 + 0*p**3. What is the first derivative of k(c) wrt c?\nAnswer: -186*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/40804951?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 2*v + 2*v**3 + v - 11*v to the form t*v + p*v**2 + r*v**3 + c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96755.07 millennia to decades.\nAnswer: 9675507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01072556 to four dps.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*d + 39, 39 = 2*c - 5*d - 6. Solve 4*l = -3 + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497475 divided by -19899?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 77612497.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53024517 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/111, -5278, -45?\nAnswer: -5278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 7, x: 4}. Give prob of sequence llxg.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2721857, 2721781, 2721705, 2721629?\nAnswer: 2721553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1. Let u(p) = -p**2 - 8*p + 1. Let d(q) = 3*c(q) + u(q). Calculate d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/376 + (-278)\/(-94). Solve 0*h = -r*u + 4*h + 9, -4*u + 12 = 3*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -20 + 11 + 5 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 1108?\nAnswer: -21052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(208) + (sqrt(208)*2 - sqrt(208)) - sqrt(208)))**2 - (4 + -4*sqrt(208))**2.\nAnswer: -2512 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfujyjjpuffjpj. Give prob of sequence fupp.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*i - 3*i + 2*h, 0 = 5*i + 5*h. Find z such that -1\/3*z**i + 0 - 1\/3*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 483083 or -1\/100?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 96\/27*-3. Suppose -96 = -q*h + 9*h. Suppose h*o = 101*o - 290. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 95*z - 682. Let o be j(8). Let v(c) = -c**3 + 14*c**2 - 3*c - 13. Let d be v(13). What is the highest common factor of o and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 14*h - 430. Suppose -10*y + h = -474. Find the second derivative of 3*m**3 + y*m - 153*m + 73*m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**8))**(-19)\/(u**(-4\/7)*u**(-10)) assuming u is positive.\nAnswer: u**(-990\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q. Let f(c) = -6584*c. What is f(y(z))?\nAnswer: -26336*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(7\/(-10)) + (-18 - -30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54263153.\nAnswer: 7, 229, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9e90 (base 15) to base 10\nAnswer: -33660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.321 + -2.669. Let o = b + 2.99. Put 0.04, 5, o, 0.5 in decreasing order.\nAnswer: 5, 0.5, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.3. Let d be (-9)\/7 - (-2 + 1). Which is the nearest to -0.1? (a) g (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125894a - 2?\nAnswer: 1258948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2221360, 4443269, 6665178, 8887087?\nAnswer: 11108996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*f - 522 + 151 - 343 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-16) + (-47)\/(-2). Let m = l - 15. Let c(u) = -u**2 + 11*u - 2. Is c(m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from ljldcdp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70230 divided by -2341?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 2. Let y = -3 + 3. Suppose -3*l - 4*n - 19 = 0, 0 = -n - y - 1. Determine b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9646\/5*q - 694083\/10*q**4 + 3001921\/10*q**3 + 233861*q**2 + 4 = 0.\nAnswer: -2\/3, -2\/481, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1824 - -1.1824. What is the third smallest value in h, -9, 3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28338441 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56475 divided by 225?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from hajh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(2 - 34\/(-8)). Suppose -150 = -6*w + w. Let f = i - w. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 2*x**2 + 31*x**2 + 5*x**2.\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**3 - 1114*q**2 + 1964.\nAnswer: -9*q**2 - 2228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 33.5. Let s = 5.49 - w. Which is the closest to -1? (a) -1\/6 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u**5 - 785*u**4 - 4275*u**3 + 11655*u**2 + 5425*u - 9750 = 0.\nAnswer: -15, -13, -1, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 2:18 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -491*g**2*q**2 + 11352*g**2*q - 175577606*g**2 + 5*q with respect to q.\nAnswer: -982*g**2*q + 11352*g**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18406 (base 9) to base 14.\nAnswer: -48cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*b + 7*b. Let k(s) = s**3 - 4*s**2 + s - 7. Let r be k(b). Is 4 + -2 + (r - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -1792, -1768, -1744?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9043732608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.98, -2, 1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5753 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11455 and 526930.\nAnswer: 526930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0*b**3 + 208 + 177 + 18*b**2 - 423 + 4*b - 2*b**3. Let i be r(9). Let p = 5 + -13. Sort i, p, -5 in increasing order.\nAnswer: p, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from hzzhahzahhzzhzwhzh.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 1. Let h be -2 + 3 - (4 - -1). Let r(q) = q**2 + 2*q - 4. Let i be r(h). What is the units digit of c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0919585889 rounded to three decimal places?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from {l: 9, m: 7, k: 3}.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(102)*2*-5)\/(sqrt(6) + sqrt(150)*-2) + -3 + 0).\nAnswer: -12 + 40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 3*a + 1. Let q be h(-2). Let r(u) = 7 + u + q + 9*u**3 - 8*u**3 - 8*u**2. Let f be r(8). What is the highest common divisor of f and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(4\/17224) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276476 - 4.\nAnswer: -276480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/20)\/(46\/16 + -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-150))\/(16\/(-64)*-4).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1054, -2095, -3138, -4177, -5206?\n\"Answer: s**3 - 7*s**2 - 1027*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*h**3 - 94*h**2 - 1 - 90*h**2 + 185*h**2)*(-7*h**2 - h**2 + 4*h**2) - h**5 + 2*h - 2*h.\nAnswer: 599*h**5 - 4*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120\/4*1\/2. Let x = k + -13. Solve 0 = 5*z - x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 + 72. Let m = -61 - z. Let r = -0.1 - 1.9. What is the nearest to -1\/3 in 1, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4348 is divided by 1429.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6074091 is divided by 409.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2. Let d(y) = 264*y**2 + 7. Give t(d(u)).\nAnswer: 278784*u**4 + 14784*u**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**6\/3 + 2*p**5\/5 - p**4 + 17. Factor z(s).\nAnswer: 2*s**3*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (16 - 7 - 66) - (-1 - (-3 - 7))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3325 (base 13) to base 5.\nAnswer: 212004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50 (b) 2268 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, 2, 0.146, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -74, -88, -122, -182, -274, -404?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-3)*(-2 + -19) and 72\/(-3)*(-1)\/3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -800*d**3 - 3*d**2 + 49*d + 50. Calculate u(-1).\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73351?\nAnswer: 73351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6*z**2 + 41*z**2 + 30*z**2 + 7*z**2 - 11*z**2 to the form c*z**2 + d*z + y and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 382\/8 + (-4)\/(-16). Suppose 5*m - 5*h + 2*h - 50 = 0, -4*h = -5*m + d. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*f + 4*z, 0 = 2*f - 3*z - 18 - 3. Let t = f + -10. Suppose 111 = t*s - s - 4*k, -3*k + 578 = 5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34756 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23897, 47737, 71587, 95453, 119341?\n\"Answer: t**3 - t**2 + 23836*t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1 - 0.9113?\nAnswer: -14.0113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32\/4765 + -10424\/37167. Is -1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a**4)**(-32) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**6*z**2 + 13*l**6 + l**2*z + 13*l**2 + 10*z**2 wrt l.\nAnswer: -960*l**3*z**2 + 1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 141 or 116?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59 - -349a?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 894889547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/(3\/(-10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13922367 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 9. Let z(s) = -3*s**2 - 27. Let a(t) = -8*g(t) - 3*z(t). Is a(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -t - 4, 0 = t - 3*t + 4*m - 4. Solve 2*z = -3*u, 0 = -t*z - 4*u - u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/539 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/21 - 43*g**3\/42 + 11*g**2\/14 + 6*g. Find l, given that z(l) = 0.\nAnswer: -11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = 0, -4*j - 13*y + 1696 = -18*y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 800 = -4*o, -s - 2*o = -4*o - 203. Is s a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 195 = 174. Which is smaller: q or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -39, -33, -13, 27?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*o + 93, 2 = -3*o - 4. Let f = r - -67. Let x = f - -18. Which is bigger: x or -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -412, -934, -1666, -2608, -3760?\nAnswer: -5122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1034\/5, -2, -9 in increasing order.\nAnswer: -9, -2, 1034\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:33 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7294.3 - -130649325.\nAnswer: 130656619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/342 and -19\/214428.\nAnswer: 12222396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*y - 55 - 14, -4*f = y - 133. Let b be 4\/((-24)\/(-9))*(f - -1). What is the greatest common divisor of 34 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*j + 1690 - 115 = -230*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 13, -2, -15?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4, -4\/3, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4979472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4570238, -4570260, -4570298, -4570352, -4570422?\n\"Answer: -8*g**2 + 2*g - 4570232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 1, g: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 436360.9 nanoseconds in microseconds?\nAnswer: 436.3609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.806 - -0.8. Let h = -4.306 - u. Let x = h - -4.300146. Round x to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/9 + 8*d**2\/3 - 20*d\/9.\nAnswer: -4*d*(d - 5)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*o**4 + 14*o**3 + 327278*o?\nAnswer: 2280*o**2 + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -1\/15*v**5 + 0*v + 5\/24*v**4 + 4*v**2 + 0 - 1\/120*v**6 + 1\/3*v**3. Suppose -a = 10 - 5. Calculate s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**7\/42 - m**6\/24 + 5*m**5\/2 - 95*m**4\/6 + 140*m**3\/3 + 71*m**2. Factor v(s).\nAnswer: -5*(s - 2)**3*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 182116268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 j when three letters picked without replacement from {j: 5, p: 3, x: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 214*k - 30 + 62)*(3 - k - 3)*(-2*k**2 + 0*k**2 - k**2).\nAnswer: -642*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16181407951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -61 + 14 + 89 - 3*d + 32. Calculate the lowest common multiple of 198 and a(18).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 11*y**2 + 14*y - 18. Let k be a(12). Solve 0 = k*v - 4*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 305 in decreasing order.\nAnswer: 305, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 21 + z + 19)*(6*z**4 - 5*z**4 + 0*z**4).\nAnswer: 2*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 17 + 5 = 2*m, -m + 19 = 4*d. Let f = m - -3. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q + 222. Let r(h) = -5*h + 50. Let f(d) = -2*g(d) + 9*r(d). Let z(k) = -2*k + 5. Calculate 2*f(o) - 3*z(o).\nAnswer: 4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5914035 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljvj when four letters picked without replacement from {x: 2, l: 2, r: 3, v: 1, j: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42743 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746210535?\nAnswer: 3, 5, 7, 641, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 2*b - 5. Let q(z) = -z**2 + z + 1. Determine m(d) + 3*q(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**43\/(o**(-37)\/o))**50 assuming o is positive.\nAnswer: o**4050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -48, -610 in decreasing order.\nAnswer: 3, -48, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 13) to base 10.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let u(i) = i**2 + 3*i - 4. Let j be u(s). Suppose -c + 3*c = 4*q - 24, -j = -5*q + c. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012119770473 to five dps.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-830995)\/26390 + (29 - 3) - 55\/(-10).\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38873*r**2 - 83787?\nAnswer: 77746*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-237)*(-1380)\/11730\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14549587453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 100*n**2 + 812*n + 2156 = 0 for n.\nAnswer: -11, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 + 246. Let f be 2\/(-2) - (14 + -3). Is f < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 12*k + 4. What is a(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2387423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahhhahhahhhhhhh. What is prob of sequence hh?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (30 - -9) + (-24 - (44 - 54))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppiwciclipmlm. What is prob of picking 2 m and 1 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 479*p**2 - 87*p - 28. Is w(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-168))\/((-2)\/(-7)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f - 29. Give m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 5. Let o be b(-1). Let j(u) = 0*u**2 - o - u**2 - 1. Determine j(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65481408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*d - 9120 = 0, k - 5*d = -7*d + 3043. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = 9. Solve 3*o = o + c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0 + -4 - -70. Suppose -h*w + 74*w = 6350. Suppose 7*l - w = -3*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m**3)*(-3*m**2 + 0*m**2 + 2*m**2) + 3*m**5 - 2*m**5 - 4*m**5 + (6*m**4 - 13*m**4 - 21*m**4)*(-3 + 2*m + 3).\nAnswer: -58*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l - 20 = 54*l. Let t be 20\/(-168) + l\/(-14). What is the smallest value in t, -0.3, -1\/5, 0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2755*s - 1293*s + 42287 - 173858 = 176077 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 4, -1, 268 in ascending order.\nAnswer: -4, -1, 4, 9, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 159 = -150 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 9.1. Let w = u + -9.1. Let i = -23 + 137\/6. What is the nearest to -1\/4 in 2, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/90 - 235*a**4\/36 + 238*a**3\/3 - 17*a**2 + 20*a + 4. Factor l(r).\nAnswer: -2*(r - 3)*(r + 238)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 17 = -22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342135300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Let r = -2 - -3. Suppose w = -4*x + 17, 0*x + x - r = 0. Solve g*m = s + w, -3*m + 5*s + 2 = -3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 + 107964*g + 863711\/8.\nAnswer: (g + 1)*(g + 863711)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgssssgjsswss. What is prob of sequence jw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*l + 0 + 3 = -1, 2*z + 248 = -27*z - 4*l + 306 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a + 382498 = -8*a - 835076. Is a a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3, -5, 4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/((-495)\/(-54) - 10\/60)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 111. Let p(v) be the first derivative of q*v - 2 + 1\/4*v**4 + 1\/3*v**3 + 0*v**2. Factor p(g).\nAnswer: g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112401 (base 11) to base 7.\nAnswer: -1343253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36908 (b) 0.1 (c) 0.3 (d) -0.2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 173411728 a multiple of 5411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkvfthh. What is prob of sequence vf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Suppose -6 = -3*p - 0. Let z(u) = -4*u**p + 5*u**2 - 3*u**2 + 3*u**2. What is f(z(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568 divided by 4?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 12*l**2 + 2*l**2 + 10*l**2 - 4*l**2.\nAnswer: 20*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -684, -1372, -2060, -2748, -3436?\n\"Answer: -688*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.432585112 - 768664513.567414888. Let i = s - -768664509.00000003. Let f = 5 + i. Round f to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 29379.\nAnswer: 29378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1911 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from dedddeeeyd?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**2 - q + 3. Is z(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z - 96. Let x(u) = 5*u - 95. Let c(r) = 3*m(r) - 4*x(r). Does 12 divide c(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 12 = 55*v - 53*v, 5*s - 10 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-21) - 8\/(-56). What is the nearest to 1 in u, 2\/5, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938827 to the power of 1\/2, to the nearest integer?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*x - 103*x + 338*x - 118*x to l*x + a and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770 is divided by 533?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 239670.8 nanograms?\nAnswer: 0.0000002396708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*3 + 51. Let c be 1*300*q*120. Round c to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b + 23. What is the remainder when p(-7) is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.9 + 21. Let a = 21 + -12. Let n be ((-1)\/2)\/(3\/a). Put n, y, -2\/7 in descending order.\nAnswer: y, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose 5*u - 20 = 15. What is the least common multiple of l and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -8\/23 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10) + -8 + 8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 15. Suppose -19 - n = -3*a + 5*z, -2*a - 5*z - 2 = 0. Suppose c + k = 2*k - 312, -1232 = 4*c + a*k. Round c to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 14, 46, 1234?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (8 + -4 + -16)) + -6. Suppose -4*r + 20 = 8. Solve -b = -u*m - r*m - 16, b = -3*m - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181016 (base 10) to base 3\nAnswer: 100012022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b = 333 - 480 - 477 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5. Let a be (k\/2)\/((-2)\/80). Solve a = 5*o + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 26*v - 95. What is y(12)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*z + 896, v + 2*v - 675 = -3*z. Let d = v - 158. Calculate the greatest common divisor of d and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129661.9 decades in months?\nAnswer: 15559428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3198 divided by 1066.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 116400*((-12)\/(-16)*-2 + 2). Suppose 0 = -51*i + 46*i + g. Round i to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 0, -b + 4*v = -2 - 3. Let q(w) = -1. Let t(h) = h + 8. Let k(n) = b*t(n) - 2*q(n). What are the prime factors of k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -45 - (-12 + 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 2. Let p be 16\/(-20) + (-576)\/(-420). What is the closest to -0.1 in p, 1\/9, h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 103*q**5\/4 - 238*q**2 - q + 430. Differentiate z(n) wrt n.\nAnswer: 1545*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l + 2. Suppose -5*t - 6*z + 56 = -l*z, -38 = -2*t + 4*z. Let r = 115 - t. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) 38\/9 (c) 2\/9 (d) 0 (e) -0.5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334.2959 milligrams to nanograms.\nAnswer: 334295900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c + 3. Let i(f) = 4*f - 1. Let s(n) = 5*n**3 + 290*n**2 + n + 61. Let y be s(-58). Give y*o(a) + 8*i(a).\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4008, 4007, 4006, 4005, 4004?\n\"Answer: -s + 4009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 7. Let i be o(6). Let d be (-4)\/1*i\/(-2). Suppose -4*f = 2*r - 18, d*r + 3*f - 30 = -r. Solve 2*c + 3 - r = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3337 - 3381. What is the third biggest value in v, 0.4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -60939d?\nAnswer: -60939a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 times -0.08265?\nAnswer: 7.4385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let r(x) = 2 + 10*x**2 - 11*x**2 - 2. Let k(n) = -16*n**2. Let v(s) = k(s) - 5*r(s). Determine h(v(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 796*q**3\/3 - 1348*q + 1684. Differentiate i(f) with respect to f.\nAnswer: 1592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3003682 (base 10) in base 7?\nAnswer: 34350043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/40 - 3*q**5\/4 - 43*q**4\/12 - 315*q**2. What is the second derivative of m(j) wrt j?\nAnswer: -18*j - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 88, 155, 258, 409, 620?\n\"Answer: 2*o**3 + 29*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 + 19*c**2*t**2 + 28*c*t + t**2 wrt c.\nAnswer: 12*c + 38*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -804, -825, -866, -933, -1032, -1169, -1350?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 225.00000173. What is y rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -7574\nAnswer: -7618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19341 * 118.\nAnswer: -22.82238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - m**4 + m**3 + 3*m**3 + 2*m**3 + 2*m**2 - 3*m**4 + 2*m in the form a + u*m**4 + j*m**2 + x*m + v*m**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20540240 is divided by 256753.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 107 = -79 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379 and 2328197?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 67, 0.4, -0.0816, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/40 and 117\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 23. Calculate z(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*i + 4 = 8, 0 = 5*w + 2*i - 23. Find the second derivative of -154*j**2 + 23*j + 154*j**2 - 17*j**w wrt j.\nAnswer: -102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y*y**(-18))\/y))\/y)**(-12) assuming y is positive.\nAnswer: y**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)) - (sqrt(98) + -2).\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931 is divided by 1957?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 19782*v\/5 + 59256.\nAnswer: 2*(v + 15)*(v + 9876)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2397 - -2396.7. What is the closest to a in -1\/9, -2, -0.127?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1306246, 2612240, 3918234, 5224228, 6530222?\n\"Answer: 1305994*z + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 - -98. Let u = 60 + y. Which is smaller: -6 or u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 + 8*j - 2. Let m be c(7). Suppose 3*s + 5493 + 10987 = -m*q, 16520 = -3*s + 5*q. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/56 and -8\/917?\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -75679*z + 359. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28965676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*d*h**3 - 72*h**3 - 5 with respect to d.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - (0 + 4)) - (1 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 742 - 82. Let p be -1*4\/(-5 + 13)*4. Find the common denominator of -53\/2 and p\/(-10) + (-1329)\/a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23063, 22091, 21121, 20153, 19187, 18223, 17261?\n\"Answer: j**2 - 975*j + 24037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*7\/42)\/(28\/(-7))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 10*c + 0*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 + 6*a - 5. Let x be l(5). Suppose -2*n + 3*n = -3*j + 3, x = 2*n - 4*j - 6. Solve -n*z + 6 + 0 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108710 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 48 - 25*p**2 + p + 46 in the form x*p + l + u*p**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i + 4. Let r be v(-4). Suppose -5*h + 11 = -r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 13 + -2 + 0 + (92 - 88 - -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 189*o**3 - 6*o**2 + 9*o - 3. Let k be r(1). Solve -166*n = -k*n + 92 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/70 and 117\/303772?\nAnswer: 1518860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -66\/193183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 278801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111011 - 11100111111010?\nAnswer: -11101011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211.4 + 174. Let j = 37 + m. Put j, 0.1, -2\/21 in descending order.\nAnswer: 0.1, -2\/21, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o. Let l(f) be the second derivative of o + 0*f**2 + 1\/4*f**5 + 1\/2*f**4 - 5*f + 0*f**3. Find the third derivative of l(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j - 1. Let y be (-4)\/j + 56\/(-882). Let h(m) = -m + 1. Let p be h(2). Which is the nearest to p? (a) y (b) -1\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18365 + 18362. Is -138\/77 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1223 - 1223 + 32*t**4 - 3*t**4 - 2*t**4 + 4*t**4 + (0*t**2 + 2*t**2 - 4*t**2)*(3 - 3 + t**2) + 3*t**4 - 4*t**4 + 0*t**4 - 4*t + 2*t**4 + 4*t.\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543 - -542. Which is the third smallest value? (a) n (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*((-34771 - 195*k + 34771)*(-2*k**3 + 4*k**2 - 4*k**2) + 9*k**4 + 7*k**4 + 18*k**4).\nAnswer: 848*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = k - 192 - 167, -3*k - 4*u = -1102. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000056882672 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1739*t + 7003. Calculate m(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/9925038 and -69\/26?\nAnswer: 129025494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1289 + 358 = 9*w. Let s = -182 + w. Let z(d) = d - 1 - 4*d**2 + 4*d**2 + 0 - 4*d**2. Determine z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.356 from -59787051.01.\nAnswer: -59787036.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z - v, -2*z - 3*z + 7 = v. Suppose -z*q - 2 = -44. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 737 and 110.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36458 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1943130*w**4 + 4*w**3 - 13*w - 4342302.\nAnswer: 23317560*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from aooaaooaooooa?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-9)\/(135\/(-6)). Let c be 14\/4 - 3\/6. Put c, 0, z, 2 in decreasing order.\nAnswer: c, 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 796446.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 357 - 191. Suppose 0 = -5*c + q - 16. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3938 divided by 3938.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20618525471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -623000 divided by 8?\nAnswer: -77875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 5.6. Let s = 520 - 11958\/23. Which is the fourth biggest value? (a) 2\/13 (b) s (c) u (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(6\/(-15)) + 0. Let w be (-15)\/(-42) - (688\/(-112) - -6). What is the nearest to w in f, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 83 - 69 = 0. Is 1421 + q + 2\/4*-12 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*k - 54*k - 2024 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 3 - (4 + -15 + 21). Put -34, -2, b in decreasing order.\nAnswer: -2, b, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**0*(k*k*k**(1\/7))\/k*(k**(-3\/7)\/k*k)\/k**(3\/4) assuming k is positive.\nAnswer: k**(27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 87\/2. Sort -5, 4, n.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/9 - 34234*w**3 - 8625730*w**2\/9 - 16942450*w\/3 + 15402500 = 0. Calculate w.\nAnswer: -154025, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*y - 6*y - 28 = 0, 0 = y + 4. Suppose 1 = 2*q - 3*j - 12, a*q = -j + 47. Let t = 10 - q. What is the closest to -0.1 in t, -2\/5, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - (-31)\/3. Suppose 4*s + m = -5, -s - 84 = -5*d. What is the greatest common divisor of d and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136.24 - 32.76. Does x = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/21*(-3)\/12*20\/5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(1644*z + 1645*z - 785*z).\nAnswer: 2504*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 167288 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**3 + 29*d**2 - 107*d - 4. What are the prime factors of u(5)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-81)\/(-3))\/((-15)\/(-20)) is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 263? (a) 0.4 (b) -9\/2 (c) -1\/9 (d) -1.7 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let t(d) = -d**2 + 16*d + 19. Suppose -2*p + 1 = 5. Let z(b) = p*y(b) + t(b). What is the units digit of z(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 0, -55, -35, -2 in increasing order.\nAnswer: -55, -35, -9, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1308 + -1270. What is the smallest common multiple of 4 and j?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 16. Let g be p(-13). Let w = 0.01 - -0.11. Let h = w - 4.12. What is the third smallest value in h, 3\/7, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1413 - -440220410?\nAnswer: 440222323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 84510090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 10. Let f be (9\/12)\/(d\/8). Factor 4*p + 2*p + 4 - 2*p**f + 0*p**3.\nAnswer: -2*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/6 and 117\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12990 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0117658 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 14*y - 4. Let r be k(6). Suppose -5*d - r = 0, -2*d - 3*d = -2*f + 122. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + (-72)\/(-32). Suppose 0 = 5*k + 4*r - 261, d*k - 4*r - 29 = 81. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**3 - 31*j**2 - 3*j. Let z be b(4). Solve 2*d = -x - 11, 3*x - x - 10 = z*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1797, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 0. Suppose -5 = a, -3*n - 5*a = -n + 23. Let s = n - q. Solve -3*f = 3*b - s*b - 23, -4*b + 2 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19227498067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 + 5*u**2 + 4*u. Let d(s) = -3*s**3 + 6*s**2 + 4*s. Calculate 5*a(f) - 4*d(f).\nAnswer: -3*f**3 + f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.05947833 to 2 decimal places.\nAnswer: 11.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*m**3 - 424*m + 424*m.\nAnswer: 96*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 3. Let k be x(-3). Suppose -u + 7 = 4. Solve -w + 4 = 0, -2*r + 16 = -u*w + k*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let g be (-658)\/(-70) - (11 + -2). Let x = -23 + 20. Sort -4, x, g, -5 in ascending order.\nAnswer: -5, -4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-20)\/15)*(-8)\/(-12). Suppose 5*d - 3*f = 35, f + 11 + 2 = i*d. Solve -3*w + 4 = t, t + d = -w + 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 74.916. Let z = -0.144 - s. What is the biggest value in z, -5, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a + 91*a + 0*a + (0*a + 0*a + 2*a)*(2 - 1 + 1) to y + d*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5459*d**3*q**4 + 46*d**3*q**2 + 7820*d**3*q + 36*d*q**4 wrt q.\nAnswer: 131016*d**3*q + 864*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -1\/35*c**6 - 1\/70*c**5 + 0 - 1\/147*c**7 + 2\/21*c**3 + 0*c**2 + 1\/14*c**4 - 3*c. Determine y so that l(y) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(133)*-6 + sqrt(133) + (sqrt(133) - (sqrt(133) - (-3*sqrt(133) - sqrt(133))))*-6)\/(2*sqrt(448) - (sqrt(280)\/sqrt(5))\/sqrt(8)).\nAnswer: 31*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 - m + 17. Let h(w) = w**3 - 3*w**2 - 2. Calculate -h(v) + 2*r(v).\nAnswer: v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63432 and 190296.\nAnswer: 190296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 + 8*u**2 + 8*u - 7. Let w(v) be the third derivative of v**6\/60 + v**5\/20 + v**4\/8 - v**3\/3 + 40*v**2 - 2. Calculate -8*w(q) + 3*z(q).\nAnswer: -q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 445. Calculate the highest common factor of 46 and z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*p + 5*k, -4 = -4*p + 3*k + 2. Suppose -w - 11 = -p*z + 39, w - 55 = -4*z. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = f + 2*f. Let o = 24 - f. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 27.99912. What is f rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24.5877, -2\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*g + 3*g + 2, -y + 16 = 5*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 352 + 33 = 30*o. Solve -o*t = -7*t - 20, 5 = 3*s + t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17027976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35391*z = -35450*z + 3894 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -251, -271, -327, -437, -619, -891, -1271?\n\"Answer: -3*x**3 + x - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0047 - -2.1953. What is the biggest value in 1, -5, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, -3, 2, -15 in decreasing order.\nAnswer: 5, 2, -3, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -216 - -604?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-13 - (-10 - (10 + -12)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s + 35*s + 715235*s**3.\nAnswer: 715235*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9517 + -4874. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556655101 to the power of 1\/2, to the nearest integer?\nAnswer: 23594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = -p. Let r = -2 + p. Let u be 16\/18*6\/(-8). Is r at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -469 + 485. Solve 0 = -10*l + v*l - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14379\/8 + 3595\/2. Which is the biggest value? (a) s (b) 2\/17 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*s + 28*s - 422 = 1855 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -101212201011?\nAnswer: -101212201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hjjhh.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 27*k**2 - 8*k - 23. Let v(o) = 4*o**3 - 40*o**2 - 12*o - 34. Let t(z) = 7*h(z) - 5*v(z). Is t(-10) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:10 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -7171?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76398 and 476.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 - 4 + 0*p**3 - 3*p**2 + 4*p. Let s be j(-5). Calculate the highest common factor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4*q + 10. Let u(i) = -i + 1. Determine m(p) + 4*u(p).\nAnswer: -p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 32.7119.\nAnswer: -32.7119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a meter in centimeters?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 850149 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 1906 = -378. Let z = p + -3049\/16. Find the common denominator of 21\/10 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571987957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*m - m - 18, -2*u + 33 = 5*m. Solve 0 = -n + 3*n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-72) - 4\/(-16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k + 2*k)*(72*k + 5875 - 2940 - 2936).\nAnswer: 144*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.1 (b) -2\/11 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 418*s - 42633. Determine w(102).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2740750000 to the nearest one million.\nAnswer: -2741000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqqb. What is prob of sequence bbqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u - 3. Let n be g(-2). Suppose 0 = -r - 0*r + n. What is the remainder when (-1 - -52) + -1 + -1 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84815000929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*h, -5*t = -4*h + 12. Calculate the common denominator of 87\/20 and t - -5 - (1 - (-1518)\/300).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(432)*1)\/((sqrt(8) + sqrt(24)\/sqrt(3))\/sqrt(2)) + (3*(sqrt(147) + 1 + 3))**2)*-3.\nAnswer: -4401 - 3009*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i**3 + 9*i - 2 wrt i?\nAnswer: -21*i**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21 - 13 - 35 + 4*p. Let f be g(9). Let a = 0.4 - -3.6. What is the third smallest value in 0.1, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17762\/535 + 1 + (-44)\/20. Solve -12*l - 20 = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1545 - 758. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-48))**(4\/7))**25 assuming s is positive.\nAnswer: s**(-4800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -1178*b + 1176*b + 4, -9*u = 2*b + 20 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfbf when four letters picked without replacement from {f: 1, b: 1, s: 2, a: 5, e: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 1, f: 4, y: 2, t: 1}. Give prob of picking 2 r, 1 f, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukskkusku. Give prob of picking 3 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152201 + 152201 - 4*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20733968 divided by -16?\nAnswer: 1295873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 176 = -4*r. Is 6 a factor of (-11)\/r + 83\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/14)\/(3\/21). Suppose -3*i + 1763 = v, v = -0*i + c*i - 2346. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 11085, 4, -16 in ascending order.\nAnswer: -16, -8, -5, 4, 11085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -60 * 129\nAnswer: -7740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*m - 10 = 0, 0 = 5*o + m - 5*m + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 + x. Does 2 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -2\/7 (c) -43 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57, 108, 157, 204, 249?\n\"Answer: -s**2 + 54*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69433939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5307574 (base 9) in base 15?\nAnswer: 3b16d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**4)**(-39) assuming b is positive.\nAnswer: b**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31335.75ml?\nAnswer: 31.33575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 10:37 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:15 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q**4\/9 + 2888*q**3\/9 + 17872*q**2\/9 + 28768*q\/9 + 2944\/3 = 0. Calculate q.\nAnswer: -138, -4, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.8529 decades to centuries.\nAnswer: 42.88529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + 91 + 37 + -72 + 15.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + -51. Let k(d) = -13*d**3 - 2*d**2 + 3*d - 2. Let q be k(1). What is the common denominator of (0 - n\/q) + 0 and -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -13, 8, 3\/16, 1\/3?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5056\/22509 - 6\/2501. Which is the third biggest value? (a) f (b) 2.5 (c) 0.4 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**2*z**3 + 499*f**2*z - 2*f**2 - 818*f*z**3 + 3*f + 1 wrt z.\nAnswer: 30*f**2*z - 4908*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 + -166. Let w = -149 + i. Is w at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167.704 - -0.296. Let j = -167.8 + f. Let p = -0.3 + 0.1. Put p, 3\/4, j in ascending order.\nAnswer: p, j, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*t + 10, 4*i = -5*t + 109 - 75. Solve 3*a + r = t + 4, 2 = a - r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 161. Let q(r) = -3*r**2. Determine h(q(o)).\nAnswer: -6*o**2 + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-396)*(-9)\/135*6*5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730147081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18964.99999950959 - 18965. Round u to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*v + 6 + 525*v - 8.\nAnswer: 181*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10582 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = 3*n + 3*g, -g + 8 = 4*n. Suppose -n*d - 3 = -11, -5*u + 311 = -d. Let y = 28 + u. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -102\/29, -45, 35?\nAnswer: -102\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 11:56 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 146 and 0.01603.\nAnswer: 2.34038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18728, 37454, 56180, 74906?\nAnswer: 93632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 4. Let u be y(3). Suppose k = -2*a + u, -16 = -4*k - 3*a + 2. Put k, 57, 4 in ascending order.\nAnswer: k, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 757143*c - 1. Suppose 5*z + 95 = 5*b, 4*z - 2 = 6. Suppose b = 3*d - 0*d. Let o be h(d). Round o to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzg when four letters picked without replacement from zzozzgzzzzfggzzozoo.\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 31 = 5*m, 2*m - 3 + 9 = 0. Let o(i) be the first derivative of -2*i**2 + 3*i + 1. Is o(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635377387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4, 4*x + 2 - 12 = c. Let t be 2 - 4 - 2\/(-1). Suppose x*k = -t*k + 1260. Round k to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 594 + 3765 = 0. Let s = v + 61051\/14. Find the common denominator of -127\/6 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7056 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39346 is divided by 2185.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33552736 is divided by 87605.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/1 + 23\/2. Solve 2*d = -i + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4 + 202*c**3 + 208*c**2 - 408*c = 0.\nAnswer: -2, 0, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 - 2*x**2)*(-4 + 5 + 1)*(-12*x + 24 - 24).\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/25)\/a))\/a)**(-1\/13)*a**(-3\/7)*a**(-9\/4) assuming a is positive.\nAnswer: a**(-25019\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10240 and 800?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 16*d**2 + 13*d - 11. Let x be ((-225)\/(-12))\/(-5)*4. Is m(x) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n + 7. Let d be ((-2)\/(-6))\/((-4)\/24). Let q be -9 - (-4 + (d - -2)). List the prime factors of s(q).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 138 = 2*t + 3*t, -4*t - 105 = 3*p. Let k be (-1)\/((-78)\/t - 3). Let i be 8*((-13)\/(-4) + -1). What is the highest common divisor of k and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:58 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.61333*0.17\nAnswer: -0.6142661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-39)\/(-3) + 836\/(-76)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -44 + 4 - (-2)\/2. Calculate the lowest common multiple of ((-3)\/4*-1)\/(l\/(-208)) and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 + 2 + 555*c - 74*c - 29*c**2 + 27*c**2. Let s(j) = -5*j**2. What is w(s(m))?\nAnswer: -50*m**4 - 2405*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19152 + 1811*y + 19152.\nAnswer: 1811*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12639?\nAnswer: 3, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - ((-24)\/8 - -3). Let b be ((-4)\/(-8))\/(c\/(-40)). Let q(x) = 1. Let t(m) = m + 3. Let h be ((-8)\/4)\/((-1)\/1). Determine b*q(d) + h*t(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 8:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*((-2*sqrt(3))**2 + 4) - (sqrt(18)\/sqrt(384))**2) + -4.\nAnswer: 4861\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(-183066 - 25*b**3 + 6*b**4 + 183066) in the form h + u*b**3 + o*b + a*b**4 + n*b**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -93. Let s(w) = 4*w + 3*w - 2*w - 1. Let o be s(z). Is -15 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, v: 1, m: 5, p: 2, a: 2}. What is prob of picking 1 p, 2 m, and 1 f?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11483\/11 + 1043. Let j = 9 + -15. Let y be 8\/(-6) + 4\/j. Is r not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 0.02. Let q = 22.0225 - 22. Let i = j - q. Round i to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36653 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 3*h + 12. Calculate the remainder when u(-4) is divided by 0 - 1 - -1 - -22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 5*j + 2035 = 4*j + 1975, -12 = 4*m - 5*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -1\/735*u**7 + 0*u**5 + 0 - 1\/21*u**4 + 0*u + 2*u**2 + 1\/140*u**6 + 0*u**3. Factor v(f).\nAnswer: -2*f*(f - 2)**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 + 5*v**2 - v + 5. Let y(c) = -5*c**3 - 4*c**2 + c - 4. Calculate -4*i(j) - 5*y(j).\nAnswer: 5*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -7*s**2\/2 - 1. Let f(t) = -t + 4. Let g = 242 - 240. Let r(w) = -2. Let a(q) = g*r(q) + f(q). Give a(i(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, 7, 3, -25, -89, -201?\n\"Answer: -2*r**3 + 6*r**2 + 4*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0 + 6 - 1 - 3. Let v(x) = x + 7. Let s(c) = -7*d(c) + 2*v(c). Let w(u) = -7 - 8*u + u + 7 + 0*u. Give s(w(f)).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19949865 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(-5 + (3 + sqrt(224)\/((sqrt(84) - (sqrt(84) - -1*sqrt(84)))\/sqrt(12) - sqrt(7)))*-5))**2.\nAnswer: -14160*sqrt(2) + 21124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q + 66*q - 19 = -3*m, -q + 2*m = 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 12*j - 10. Suppose 0 = j*u - 15540 - 14050. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*m - 2*r, 0*r = 3*m - 7*r + 11 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let m = 12.3 + -13. Let a = -0.4 - m. What is the third biggest value in z, a, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (1 - (1 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4166870188?\nAnswer: 2, 13, 80132119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211.884 meters to micrometers.\nAnswer: 211884000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 6794 = 4488 + 3554 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1569, -2163, -2771, -3393, -4029?\n\"Answer: -7*i**2 - 573*i - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 + 61*c\/3 - 42 = 0.\nAnswer: -63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 1026, 1527, 2026, 2523, 3018, 3511?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1201111222 (base 3) to base 15\nAnswer: -a0ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/14 + -8 - (4 + 11\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44, -1, 4, 674, 2\/7, 1\/4, 0.06?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 131 = -4*u + 110, 2*m + 5 = -5*u. Is 2\/801 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 19 + 20 = 0. Suppose 0 = -4*s, -2*z - 2*s + 3*s - 4 = 0. Let t be -24 - (-38 - -17) - -2. Sort -4, t, c, z in decreasing order.\nAnswer: t, z, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 35263268.\nAnswer: 10578980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 9070*c**4 + 199236*c**3 + 1629288*c**2 + 5863968*c + 7817472.\nAnswer: (c + 4)*(c + 6)**3*(c + 9048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**3\/6 - 7*o. Let y(s) = 4*s**2. Give f(y(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26592 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (17\/((-765)\/100))\/((-1)\/9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1738095 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*w + 4 = 0, -l - 2*l + 12 = -3*w. Calculate the remainder when 33*(3 - 11\/(198\/48)) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402786 divided by 6.\nAnswer: 67131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (210\/(-735))\/((-8)\/(-7))*(-8)\/23. Put 20, v, -0.1, 0, 1 in decreasing order.\nAnswer: 20, 1, v, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.31 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x*x\/x**(2\/9))\/x)*x\/x**31*x)**(3\/35) assuming x is positive.\nAnswer: x**(-268\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178 + 69. Let h = -108 - u. Which is the nearest to h? (a) 2 (b) 0.05 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 94862196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-2 + -3*sqrt(192) + sqrt(192)) - (-4 + (sqrt(192) + -2)**2) - ((sqrt(192) + 0)*-3 + sqrt(192) - (-3 + sqrt(192) + 5)**2)) + 4.\nAnswer: 10 + 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 113. Calculate the remainder when 23 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1054047 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -b + 113, -b - 2*t + 74 + 43 = 0. Let w be (-1 + b\/15)*3. Which is bigger: w or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.7 + 25. Let m = -71 - -33. Let u = -38.3 - m. Sort -0.1, 2, z, u in descending order.\nAnswer: 2, z, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 7*o**5\/40 + 3*o**4\/4 - 22*o**3\/3 + 18*o. Let a(h) be the second derivative of r(h). What is the derivative of a(s) wrt s?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25473 and 3738?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 13)*-73*5\/10. Suppose -2*t + 5*t - 2*w - 214 = 0, -5*w + d = 5*t. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -76*f + 5. Let o(b) = -51*b + 3. Let p(a) = 2*a**2 - 8*a + 8. Let y be p(4). Let l(t) = y*o(t) - 5*j(t). Let i(u) = 2*u**2. What is i(l(m))?\nAnswer: 1568*m**2 + 112*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from jyz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqldfdq. Give prob of picking 1 l and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*(-1 - -4). Let o be 1\/(x + (-21)\/(-9)). Suppose 3*b - 558 = -o*b. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let d(o) = 39723*o**2 - o - 5. Determine d(t(k)).\nAnswer: 357507*k**2 + 3*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -17\/3. Let k be (328\/(-1386))\/((-2)\/3). Let r = 4\/21 + k. Sort n, r, 0.01 in decreasing order.\nAnswer: n, r, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/13)\/(u**(-1\/6)*u)*(u**(-1\/4)\/u)**(1\/28) assuming u is positive.\nAnswer: u**(-3163\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92.79847 millilitres?\nAnswer: 0.09279847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.6. Let h = -0.2 + r. Which is the third biggest value? (a) -3 (b) -3\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -87*c**2. Let h(o) be the second derivative of -5*o**3\/3 - 207*o. Determine h(x(v)).\nAnswer: 870*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9 times -0.3?\nAnswer: 2.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -181761372569 - -90\nAnswer: -181761372479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 86 = -y - 89, -2*a + y = -3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 0. Suppose 0 = 3*a + y + 2. Let h be 5\/(-10)*(a - -4). Is -2\/41 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -104567, -104434, -104301?\n\"Answer: 133*s - 104700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 75. Let l be s(-10). Solve -3*z = 4*m + 4, -l*z = 2*m + 14 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048700?\nAnswer: 2, 5, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 881.2914 kilograms?\nAnswer: 881291.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9\/2)*j*j**(1\/6)*j)\/(j**(-42)\/(j**(-46)\/j)))**(-7\/5) assuming j is positive.\nAnswer: j**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (-2 + sqrt(704) + sqrt(704)*1) - sqrt(704))**2 - sqrt(704) - ((-1 + sqrt(704) + sqrt(704))**2 + -4).\nAnswer: -40*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38820 = 31*o - 34*o. Let y be 4\/(-22) - o\/(-220). Let t = 135 + y. Is t a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + -4 + -5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6696?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 8\/153, 34 in descending order.\nAnswer: 34, 0.5, 8\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(4) + (3*sqrt(484) - sqrt(4))) - sqrt(4)) + -2*(sqrt(4) + sqrt(64)))\/(sqrt(2) + sqrt(4)\/sqrt(2)*2 - sqrt(450)).\nAnswer: 43*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*s + 196 = 0, -s = -3*x + 3*s - 142. Let h = 34 + x. Let t = h - -15. Which is the smallest value? (a) -3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240) - sqrt(240)*1)*3)\/sqrt(12))\/(sqrt(144)*-1*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 13. Let h be z(-6). Suppose -8*u = -53 + h. Let p(s) = s**2 - 5*s + u*s + 3 + 2*s. What is p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose 0 = -p*a + 3*a + 3*a. Suppose a = -3*z - 0*k + 2*k + 211, 2*k = -3*z + 191. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 395*b - 392*b - 12 in the form p + a*b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(4*g**3 - 2 + 2) + (-5 - 8*g**2 + 5)*(0*g**2 - 2*g**2 + 3*g**2).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4665 - -4692. Solve 2*v + 5*t + 5 = 0, -u*v + 24*v = -3*t + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33287 or 33293?\nAnswer: 33293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*-14512\nAnswer: 21768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 105815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280918 and 452.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704.1114mg in nanograms?\nAnswer: 704111400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let o(z) = -5*z. Let r(l) = 3*o(l) - 6*s(l). What is the remainder when (84\/(-9))\/(6\/(-45)) is divided by r(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-1)\/2). Suppose -i - v = -5. Let m be (1\/4)\/(3\/i). Which is the smallest value? (a) m (b) 0.5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 86443276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 37?\nAnswer: 28\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -12. Let m = -3 - -1. Which is the nearest to m? (a) x (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*f + 93, -4*f = -u + 4*u - 90. Calculate the least common multiple of u and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxmf when four letters picked without replacement from xffmppfff?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 603 + 579 = 5*z, -m + 4*z + 20 = 0. Solve 2*i = -m*n - 25 + 7, 4*n + 3*i + 19 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 7 - -19 - 15) + -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 5*p**3 + 10*p**2 + 3*p**2 - 1 - 5*p**2 + 7*p**2 in the form c*p + m*p**2 + w + s*p**3 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5113.4 micrograms to milligrams.\nAnswer: 5.1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/5 + 2*c**3\/5 + 8*c**2\/5 - 8*c\/5 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054713*v + 2054834*v - 218 = -1307 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/17, -4, 3\/5, -2239, 0.2.\nAnswer: -2239, -4, -11\/17, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-10))\/w)**38*((w*w**(-25)*w)\/w)**22 assuming w is positive.\nAnswer: w**(-908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*x**3 - 6765 + 56*x**2 + 6765 + (3 - 3 + 2*x)*(-2 + 0 + 1)*(1 - 4 - 2)*(x**2 - 3*x**2 + 3*x**2).\nAnswer: 60*x**3 + 56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 531596869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88854348 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 15*i - 21 + 46 - 25.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 0.04561 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwx when three letters picked without replacement from wcvxqqdcwwxx?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -2, 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36.59966 litres?\nAnswer: 36599.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l**2 + 50*l + 45. Calculate g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 2, b: 1, y: 2, t: 2, k: 1}. Give prob of picking 1 r and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9509, 9521, 9531, 9539, 9545?\n\"Answer: -d**2 + 15*d + 9495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 257481 and 183.\nAnswer: 257481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 2\/3*k**3 - 7\/10*k**5 - 11\/4*k**4 + 0 - 201*k - 1\/30*k**6 + 22*k**2. Determine x so that n(x) = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744*r**3\/7 + 258836*r**2\/7 + 415104*r\/7 - 10800 = 0. What is r?\nAnswer: -7\/4, 18\/109, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 31*t - 352. Calculate x(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -25*p**6\/6 + 22*p**3\/3 + 26. Find the third derivative of k(t) wrt t.\nAnswer: -1500*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5911036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + 32\/5. Let i(u) = -u + 18. Calculate the least common multiple of 3*44\/s + -2 and i(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 53 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252)*1 + -5 + (sqrt(252) + (-1 + 0 + sqrt(252) - sqrt(252)))*-1)**2*5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 35*v**2 - 76*v - 1200. Is w(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**8\/336 + m**5\/30 + 2*m**2 - 3*m. Let n(z) be the first derivative of u(z). What is the third derivative of n(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**2 - 374 + 607 + j**4 + 10*j**4 - 2*j - 411 wrt j?\nAnswer: 132*j**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602087 to the power of 1\/2, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66\/8*(-1)\/(-3)*(-584)\/438\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -3, 0, 4583 in decreasing order.\nAnswer: 4583, 6, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 12. Suppose -k*m = m - 12. Let q(l) = -l**2 + 6*l - 2. Let u be q(5). Solve -2*g + 21 = 5*c, -m*g - 3*c = -6 - u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, n: 2, r: 3}. What is prob of sequence rn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 301 - 3658 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 (base 3) in base 10?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 0*x - 3 - x - 3*x**2 + 5 + 3*x**3 + 0*x. Let y be z(2). What is the highest common divisor of 30 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5298 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*f - 31 + 651 = 0, -4*f = 16. Let h = -33 - -59. Suppose -2*d + 4 = -h. Calculate the highest common factor of d and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*y - 3*y. Let r be (9\/y)\/(6\/8). Let x(u) = 3*u**2 - u - 2. Let h(o) = o**2 - o - 1. Give r*h(p) + x(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 + q**4\/12 + 2*q**3\/3 - 3*q**2. Let a be y(-3). Let d(r) = 4*r - a*r + 6*r. Let m(n) = 4*n**2. What is m(d(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/3*12\/(-8). Suppose -10 = -5*m - r*i + 10, 0 = m + 2*i - 10. Let k = 3 + m. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n + 5*n - 18*n - 1262040 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50368371073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4, -3*p - 2 - 4 = 3*t. Suppose -p*l + 0*l = -6. What is the remainder when (-152)\/(-6) - 1\/l*1 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.00031.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 9653.\nAnswer: 19306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*i**3 + 115*i**2*s**2 - i*s**2 - 4477*s**2 wrt i.\nAnswer: 30*i**2 + 230*i*s**2 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*s - 10, 3*s = 4*i - 32. Solve -3*f + 4*k + 16 = 2*f, -7 = -3*f + i*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(2 - -1) + 1. Suppose x - f*x - 50 = 0. Is 10 a factor of ((-20)\/x)\/(2\/95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279 and 1395?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a35 (base 11) in base 12?\nAnswer: 231a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*k - 18, 2*d + 5*k - 26 = k. Let h(b) = b**2 + d*b**2 + 2*b + 3 - 2. Calculate h(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 254*u**2 - 7*u - 104. Let r(g) = -256*g**2 + 8*g + 103. Let n(t) = 7*q(t) + 6*r(t). Find the second derivative of n(w) wrt w.\nAnswer: 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59774 divided by -8?\nAnswer: 29887\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Let f be (27\/21 - 1) + 264\/56. Suppose q - 5*s + 1 = 3*q, d*s + f = 0. Solve -q*r = 2*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5 = -4*f - 19, -4*m = -f - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(2\/(-1)))\/((-3)\/9))\/(76\/(-114))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 1, 2\/11, 54471, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0*l**5 - 15*l**2 + 0*l**4 + 0*l + 0 - 1\/6*l**6 + 23\/6*l**3. What is the first derivative of w(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 40 = -50. Suppose 3*n + 4 + 8 = 0. Let w be 5*((-12)\/10 - -2). Sort w, r, n.\nAnswer: n, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 13*a - 15 = -2*a, -p - 2*a + 6 - 8 = a for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29011 - 42919. Let f = l + 542441\/39. Find the common denominator of f and 39\/5.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 9*q**2 + 3*q + 11. What is k(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/785456 and -125\/28781352.\nAnswer: 402938928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in 2\/7, 0.27, -4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 382781, 765571, 1148359, 1531145, 1913929?\n\"Answer: -p**2 + 382793*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 517302048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p. Let s(a) be the third derivative of a**4\/24 - 8*a**2. Give s(f(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -3*i. Find the third derivative of 20*g**3 + 12*g**2 + 12*g**2 - i*g**3 - 8*g**2 wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3*4\/(-12))\/(2\/(-6)). Sort l, 4, 3 in descending order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 76734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16c - 1a?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -2944.603.\nAnswer: -2949.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -571, -1269, -2227, -3433, -4875?\nAnswer: -6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 9. Let u be f(-8). List the prime factors of u + -2 + (-9 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 w when three letters picked without replacement from mmmmwababba.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492732.\nAnswer: 2, 3, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*p - 37, 4*p - 2*f - 66 = -0*f. Let x be (-23*1)\/((-10 - -15) + -6). Let o = x - p. Solve -4*l = g + 6, g - o = -g + l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/(-210)*(-45)\/162.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34724*m**2 - 293255.\nAnswer: 69448*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 = -5*i, -5*b + 2 = -4*b + i. Suppose 2*h - 3*k = -2, 0*k + 2*k = -b*h + 33. Solve -5*o - 4*l - h = 0, -3*o + 0 = l - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 63 - 35 = 0. Let s = z - -19. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106080.2*0.2.\nAnswer: -21216.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21960 and 610?\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 1.6. Let n(q) = q + 4. Let r be n(-5). What is the nearest to r in -1\/2, 1, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w - 8. Suppose -3*f = w*b - 9, -3*f + 2 + 7 = 4*b. Suppose 0 = f*p - 6. Solve 3*v - 8 = 2*q, -4*v = -p*q - 0*q - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.15, -1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -56?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (8 + -11)*(1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 111*g - 1267. Give b(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*h + 12*h - 35*h)*(-2*h + 1 - 5 + 3).\nAnswer: 122*h**2 + 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/80 - r**4\/4 + 3*r**3\/2 - 3*r - 33. Find n, given that k(n) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -141*j - 941. What is g(-7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 9*l**6\/40 + 7*l**4\/24 - 8*l**2. What is the second derivative of x(v) wrt v?\nAnswer: 162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*a + 5*n + 35, 3*a = 2*n + 53. Let q = a + -3. What is the remainder when 21 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 8*x**2 + 7*x - 5. Let d be s(7). Does 18 divide 6\/9*d\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -543.4801 > -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, i: 2}. Give prob of sequence cc.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 2*d + 3*d)*(0 - 3 + 2)*(-115*d - 44*d**3 + 115*d) + 4*d**4 + d - d.\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 252495, 252832, 253167, 253500?\n\"Answer: -r**2 + 340*r + 252156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.0217396 and 0.109.\nAnswer: 3.1307396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6033)\/(-4) - 1\/4. Let t = h - 954. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10) + 10\/4. Let i(o) be the third derivative of 5\/24*o**4 - o**2 + 0 + 0*o + 1\/3*o**j. Let g(q) = -9*q - 3. Calculate 3*g(y) + 5*i(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(1900)) - 2*sqrt(1900)*-4)**2 - (4 + (2*sqrt(1900) - sqrt(1900)) + -4)**2.\nAnswer: -320*sqrt(19) + 28516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 297 = 11*g. Suppose -116*q - 5924 = 5676. Which is greater: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/6*(-7)\/77?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228*c**2*s**3 - 26*c**2 - 241*c*s**3 - 2*s**5 - 134720*s**2 wrt s.\nAnswer: 1368*c**2 - 1446*c - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 5}. What is prob of sequence mmmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i + 79*i - 734441 = -a, -2*i + 367210 = 4*a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3 + 5, -5*x - 3*y + 129 = 0. Is 26 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/16 (b) -405 (c) -0.2 (d) -4 (e) 1\/3 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j - 3*j + 3*j - 2*j. Let g be k(-7). Let i be (-39)\/(-9) + 1\/(-3). Solve -5*o - q + g = 0, o = -i*q + 2 - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 18 - 8 - 12 - 2*t**4 - 2*t**3 to h + g*t**3 + a*t + m*t**2 + k*t**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 greater than 481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 24 = -1. Suppose 0 = 4*z - t*o - 16191, 16198 = 4*z + 3*o - o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*k + 2118 = 33800. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -62*m + 1. Let s be c(3). Let f(b) = 53*b - 2. Let i be f(6). Let g = s + i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8808 or 3229?\nAnswer: 3229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Let k(i) = 8*i**b - 2*i**3 - 10 + 6*i - 3*i**3 + 6*i**3. Let d be k(-7). Let r(h) = -h**3 - 3*h**2 - h - 3. Calculate r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 + 8*j + 7. Suppose -o - 4*a + 42 = 0, 8*o - 3*o = -2*a + 156. Calculate the remainder when y(-5) is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 4704*n**3 - 4148928*n**2 - 1626379776*n - 239077827072.\nAnswer: -2*(n + 588)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/6 - 5*a**2\/2 + a. Let l(g) = -9*g**2 - 21. Suppose 2*u = 7*u + 555. Let x = u - -116. What is x*l(j) - 21*z(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -38, -54, -68?\n\"Answer: n**2 - 21*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(-4\/3)\/g*g)*g)**15\/(g**(17\/3)\/g**(2\/7)))**(2\/29) assuming g is positive.\nAnswer: g**(2504\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 64*a - 3*a**4 - 37*a - 28*a to the form c + v*a**4 + d*a**3 + s*a**2 + x*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*v - 2*v. Let d = -5 + v. Solve -2 - 3 = -d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*b**3*h**2 + 19*b**3*h + 112*b**3 + b**2*h**2 - 9544*b**2*h - 56*h**2 wrt b?\nAnswer: -264*h**2 + 114*h + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 + -242. Sort 5, j, 3 in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + u = -3*u + 488, -5*u + 2440 = 5*r. Suppose 3*h - 15 = -3*q, 22 - 49 = 3*h. Calculate the remainder when r is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = 30. Let l be -2 + 2 + 9\/h. Let q be (-23)\/5 + (-4)\/10. What is the second biggest value in -3, q, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q**3 - q**2 - q. What is t(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -197908, -396019, -594130, -792241?\n\"Answer: -198111*o + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k**2 + 6905*k**2 + 3021*k**2.\nAnswer: 9886*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnnt. What is prob of sequence xnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 0) + (-9 - (3 - 0 - 8))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 748*n**5 - 195*n**2 + 7013*n + 20.\nAnswer: 14960*n**3 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19483*n**3*q - 12*n**3 + n**2*q - 226*n - 63 wrt n?\nAnswer: -116898*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158218315.\nAnswer: 5, 31643663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 641 = -2*a, 0 = 19*a - 20*a - 4*x + 316. What is the highest common factor of 720 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 6. Let f be p(7). Let r be (-2)\/(-5) - f\/(-5). Suppose r*b = 5*b - 204. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5121 and 1541492694.\nAnswer: 5121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1009, -2080, -3151?\nAnswer: -4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.069 and 1156?\nAnswer: -79.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12. What is the nearest to b in 4, 1\/6, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/5 and (-1 - 148\/40) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let p be (-12 - (-306)\/24)*12\/9. Let y(m) be the second derivative of 1\/2*m**2 + 4\/3*m**3 + 2*m + 0. What is p*y(b) + 6*o(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 6*u**2 + 7. Let h be g(6). Calculate the common denominator of h\/(-35) - 25\/(-2) and -95\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - g - 131, -4*h + 2*g + 52 - 86 - 82 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -10373858?\nAnswer: 10373861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 1 + 1)*(-b**3 - 5*b**3 + 0*b**3).\nAnswer: -42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose -2*u = -2*h - 4*u - 8, -h + 5*u - 10 = 0. Let s(k) = -5*k + 4. Let z(q) = 6*q - 5. Let v(p) = h*s(p) - 4*z(p). Give v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -21 (c) -2\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*-6*(sqrt(1900) - sqrt(1900)*2)*2 - (4*(sqrt(1900) + -1 + sqrt(1900)) + -4*(0 + sqrt(1900))))**2.\nAnswer: -5120*sqrt(19) + 7782416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0097 - 0.4078. Let h = -0.0175 - l. Which is the closest to -0.062? (a) h (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 6)*(3 - 3 - n)*(n + 0*n - 3*n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -7 + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 151 and -426.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -2, -5 in descending order.\nAnswer: -0.5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/355?\nAnswer: 1\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -3, 5, 3 in increasing order.\nAnswer: -112, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2271 + 2266. What is the nearest to -3 in 0, -1\/9, f, 51?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 35*y**3\/3 + 24. Let l(z) = 2*z. Calculate u(l(w)).\nAnswer: 140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 4 + 18 = 0. Let r(g) = -36*g**3 - 3*g**2 - g - 2. What is the remainder when 95 is divided by r(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -27. Let r(o) = o**3 - 16*o**2 - 12*o - 54. Let g be r(17). Let a = y - g. Solve -3*l + 14 = -2*q, q + 2 = -2*q - a*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**3 + 3*t - 2. Let c be y(1). Let b = c - -674. Calculate the greatest common factor of 49 and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 14*x**7\/15 - 21*x**6\/5 + 109*x**5\/15 - 6*x**4 + 8*x**3\/3 + 11*x**2. Factor g(i).\nAnswer: 4*(i - 1)**2*(7*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*((-3*g**2 + g**2 + 0*g**2)*(g**2 - 5*g**2 + 3*g**2) - 85*g**4 + 2430*g**3 + 90*g**4 - 2953*g**3).\nAnswer: -42*g**4 + 3138*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26618268 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Let u be -4*(-155)\/20 + (3 - 1). Calculate the highest common factor of u and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 848173983 to the nearest integer?\nAnswer: 29123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101296 and 2808.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 24*p = 16250. Suppose -316*v = -p*v + 12528. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -25, -2*l - 2*n + 10 = l. Suppose d = 4*a - a, 5*d - 3*a - 48 = l. Let f(k) = -12*k**2 + 170*k + 153. Let z be f(15). Solve z*c = -c + d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184519\/15 + -61317\/5. Let p = -38 + h. Let d(u) = u**3 - 5*u**2 - 5*u - 6. Let o be d(6). Which is the second biggest value? (a) o (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20 = -8*r, -3*r = 3*w - 15. Suppose 5*h + 2*j = -0*j - 8, h - 5*j = 20. Which is the smallest value? (a) 0.1 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3636015)\/10*(-30)\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + 162\/(-12))\/(2\/16). Let j = q + 301. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 174, 342, 510, 678, 846, 1014?\n\"Answer: 168*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202.3865 and -0.032.\nAnswer: 202.3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/(3598\/278845)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-15)\/6*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(11) + 3*(sqrt(11) - sqrt(66)\/sqrt(6)) + 0 + -3) + 0)*-5)**2.\nAnswer: -3750*sqrt(11) + 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 58\/1319?\nAnswer: 58\/1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 1\/12*z**4 + 4*z - 17\/6*z**3 + 0 + 13\/2*z**2. Let a be f(17). Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11047 is divided by 154.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181.00087 - 181. Round q to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-79 + 3 - 22) - -14?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1105\/98239 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95053 + 142652. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 10, v: 6, c: 4}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3946\/7 - -15777\/28. Let s = -2.5 + 2. What is the fourth smallest value in 1, h, s, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/5 + 18*j**4\/5 + 52*j**3\/5 + 36*j**2\/5 - 54*j\/5 - 54\/5 = 0. Calculate j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 - 35 = 16*d. Solve 4*x + 5*h - 29 = 0, 0 = d*x + 4*h - 0*h - 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394482 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1072, 2148, 3238, 4348, 5484, 6652?\nAnswer: 7858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -23. Suppose 8 = -2*l + y, -l - o*y = y - 18. What is the third smallest value in 1, -1, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 8 - 24. Let b be (-9)\/3 + (0 - 1). Let h = -2 - b. Calculate the greatest common divisor of h and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -362200\/17 - -21306. Factor 6\/17 - 10\/17*p + 2\/17*p**2 + j*p**3.\nAnswer: 2*(p - 1)**2*(p + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.042 and 3.7.\nAnswer: 0.1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 212.\nAnswer: 5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75028 is divided by 465?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331893177 a multiple of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0)*1)**2 - (sqrt(112) - (-1 + sqrt(112))**2)*-3.\nAnswer: -227 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (22 - (-1 - -11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8064051ug to kilograms.\nAnswer: 0.0000000008064051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -244 and -123.\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c2 + -4?\nAnswer: be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221011212 (base 3) in base 4?\nAnswer: -21102113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*u - 34, 0*u - n = -3*u + 14. Which is smaller: -0.03 or u?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a factor of 1203956108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.02 + -1.7. Let k = u + 0.679933. What is k rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4908.6745 - -4910. Round d to 2 dps.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2571 - 2571.2. What is the second smallest value in z, 3, 4, -58, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15028 and 1445.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7244183291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -445317 divided by -148439\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-1\/2)\/r*r))\/r)\/r*r**21*((r\/(r**(-34)*r))\/r*r)\/r*r*((r**(-1\/8)*r)\/r)\/r*r assuming r is positive.\nAnswer: r**(435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*z + z = -1, -4*s - 3*z - 8 = 0. Let c be (3\/(-5) - s)*(10 - 0). What is the common denominator of c + 12 + 90\/52*2 and 36\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7096 divided by -24.\nAnswer: -887\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 227 = -230. Sort -1, -6, l, -3.\nAnswer: -6, -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2464.713um?\nAnswer: 2464713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-6 - 1) - 24) + 2 + 42.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6aa7 (base 13) to base 11.\nAnswer: -10305","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*a - 3 - 11, -5*u - 4*a = -15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/27 - a**4\/9 + a**2\/9 - 3. Factor c(o).\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 3, 2926 in decreasing order.\nAnswer: 2926, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 29*a - 2. What is the remainder when j(2) is divided by 4 + 19 - (-9 - -17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 41 = 3*i, -4*i + 4 = -0*f - 2*f. Let o be (3\/6)\/((-2)\/f). Suppose -3*t + 5 + 11 = -o*z, -4*z = -3*t + 20. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 213?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose -i*m + 4 = -0*m. Suppose 29 = m*g - 7. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 10. Let i(u) = -u**2 - 10*u + 1. Determine i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4185 and -12.\nAnswer: -50220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19070.624 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89\/42 + 85\/28. Let u = m + -3\/4. Sort 1\/7, 0.4, u, 2\/11 in ascending order.\nAnswer: 1\/7, u, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 0 (c) 2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.92. Let n = f + 0.99999934. Round n to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593441233?\nAnswer: 7, 11, 700639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -46. What is the nearest to -5 in 4\/3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1027 + -1047. Let y be h\/(-3)*((-252)\/30)\/(-7). Let j = -3 + 7. Solve y*l - 3*l = -4*q + 5, 0 = 4*l - q - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -768.8 + 768.7. Let m = -3 + 4. Let f be m + (-1 + 2 - 3). Put -2\/5, u, f in descending order.\nAnswer: u, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - 2) + (37 - (-50 + 123)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {f: 5, z: 6, s: 5, j: 1, o: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025408332 to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -642\/5. Let m = -4 - -3. Sort m, 0.5, f.\nAnswer: m, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -136. What is the remainder when 62 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-55 - -26) + -2 + 20.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 20 + 8)*(1 - 1 + x).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**3 + 5*i. Let a(g) = -15*g + 4*g**3 + 2*g**3 + 12*g - 2*g**3. Give -5*a(s) - 3*c(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/sqrt(4) - (-2 + sqrt(13)*-1))**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.2 (c) 78 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j - 29*j**3 + 10*j**3 - 8 + 11*j**3 + 12*j**3 + 8*j**2.\nAnswer: 4*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0)*(-2)\/(-4)*2. Sort h, -3, 8, -5 in decreasing order.\nAnswer: 8, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/117)\/((-2292)\/134082)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {k: 10, d: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 5}. What is prob of sequence xhx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 2, b: 3, n: 4, i: 1}. What is prob of sequence oio?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 - 8*s - 59. Let i be 14\/(-1) + (-7 - -13). Let g be k(i). Solve -v = -g*l + 3, -2*l - 4*v + 0*v = 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let p(g) = -7*g**2 - 4*g + 6*g**2 - u + g**3 - g**2. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (5 + -1)*-2. Let b be 4\/c*(-10)\/12178. Let s = 322685\/97424 - b. Find the common denominator of 41\/22 and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/27*5)\/(26\/156).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 56*d**3\/3 - 740. Let i(u) = 12*u**2. What is a(i(z))?\nAnswer: 8064*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 25*u**2 + 83*u + 40. Calculate v(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 20 - 50. Suppose -40*x + 29*x + 55 = 0. Suppose x*y - 53 = 2*i, -y = -4*i - 15 - g. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57304090631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4703, -18823, -42391, -75401, -117847, -169723?\nAnswer: -231023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.9. What is the third smallest value in 4, -5, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 3, s: 2, k: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 105, 241, 431, 675?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191767\/4 + 48278. Is 335 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11431)\/355)\/(84\/(-120))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**5 - a**4 + a**3 - 1. Let h(x) = -429*x**5 + 2*x**4 - 2*x**3 - 83*x**2 + 1. Let i(n) = 4*c(n) + 2*h(n). Find the third derivative of i(y) wrt y.\nAnswer: -51240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -877\nAnswer: -876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 559938 + 194837. Factor 40815 + 2353*t**2 - 2087*t + 146*t**3 + k*t + 2*t**4 - 13167 + 1247*t**2.\nAnswer: 2*(t + 1)*(t + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m**2 - m + 2. Let s be v(-2). Suppose s*f = f - 8. Suppose 2*g - 6*g = -40. Calculate the least common multiple of f and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 1 - 2 - 3*i + 0. Let g be ((-2)\/(-8))\/((-1)\/(-4)). Let d be v(g). Solve -12 = d*n - 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(3)*-2)\/(-2*sqrt(100) - sqrt(4)) + ((sqrt(49)\/sqrt(7)*-6)**2 - (-2*sqrt(700))**2).\nAnswer: -2548 + 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -15. Suppose 9*k + 558 = z*k. Suppose 515 = g + k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let p(f) = 4*f**2 - 7*f + 8. What is v(p(q))?\nAnswer: 8*q**2 - 14*q + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 884023.9l?\nAnswer: 884023900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 379725 and 379725.\nAnswer: 379725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - 3*(sqrt(432) + 0) - sqrt(432)) + (0 + sqrt(432)*-2)**2 - ((sqrt(432) + 0 + 5 + sqrt(432))**2 + 5).\nAnswer: -276*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1260 - -1636. Calculate the greatest common factor of m and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*i**3*q**4 - 36*i**3*q**2 + 1373*i*q**6 + 3*i*q**2 + 138*i - 3*q wrt q.\nAnswer: 1656*i**3*q + 164760*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-18)*(-42)\/(-49). Which is the second smallest value? (a) 0.3 (b) 3\/5 (c) 0.33 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -5*b**2 + 1\/3*b**3 + 1\/12*b**4 + 0*b + 0 - 1\/60*b**5. Let x(f) = -1 - f - 4*f + 4*f. Give -m(q) - 2*x(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1) + 9 + 0. Let r(w) = 4*w - w**3 + 3*w + 2 + 0*w**3 - a*w**2. Calculate the remainder when 4 is divided by r(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ychhqnyhyhqqhhq. What is prob of sequence hyn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjgjcjjgdcdhjgd. Give prob of sequence ddjg.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 225?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 6*d)*(5*d - 2*d - 2*d + (d - d - 2*d)*(-3 + 5 + 0)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:49 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h**4\/17 - 491578*h**3\/17 + 2048434*h**2\/17 - 655526*h\/17 - 901318\/17 = 0. Calculate h.\nAnswer: -40969, -1\/2, 1, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/316 and 83\/1896?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - l + 542 = 0, -68 - 114 = -f - l. Suppose 5*q - 45 - f = 4*s, q - 4*s - 29 = 0. Suppose -5*b + 1514 = q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10520 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(8\/(-28)*(-42)\/(-24))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 707472 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -38.44, -3, 0.0386, 1.9?\nAnswer: 0.0386","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.358262 hours to nanoseconds.\nAnswer: 8489743200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -158, -15, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w. Let u(i) = 3*i**2 - 20*i - 49. Give c(u(z)).\nAnswer: -66*z**2 + 440*z + 1078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 20. Let h(l) = -l**3 - 5*l**2 - 6*l. Let g be h(-3). Let d be y(g). Solve n + 4*n = d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2710425 (base 8) to base 10\nAnswer: -758037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4267 - 4266. What is the closest to 0 in b, -0.31, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -0.4, -47343, 2, 1\/4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2 + 1712870*q - 733480909225 = 0?\nAnswer: 856435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w**2 + 18*w + 98. Let o be c(-5). What is the third smallest value in -4, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.148 * -0.6.\nAnswer: -0.0888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p - 9. Let y be 2\/p + 43\/3. Let v = y - 11. Solve v*s + 26 = 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 195*v. Let a(m) = 59*m + 51. Let d(k) = -21*k - 18. Let y(x) = 6*a(x) + 17*d(x). Determine q(y(g)).\nAnswer: -585*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63240*5.\nAnswer: 316200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-6 + 12 - -493). Let h = a - -515. Calculate the remainder when 225 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 f, and 1 i when four letters picked without replacement from foriiraairaarrrr.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/21688 and 1\/410.\nAnswer: 4446040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6611232 millilitres in litres?\nAnswer: 0.0006611232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70014, -70465, -71216, -72267?\nAnswer: -73618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121334, 4, 111 in descending order.\nAnswer: 111, 4, -121334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-17)\/(-136)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (-272 - -98) - -163\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01062643011 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3*t**8\/56 + 5*t**4\/4 + 29*t - 28. Let x(i) be the first derivative of r(i). What is the third derivative of x(f) wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:20 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1948, -2860, -3774, -4690, -5608, -6528?\n\"Answer: -z**2 - 909*z - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -19*f**2\/2 + 42*f - 2444. Let b(r) = -2*r. Give b(a(m)).\nAnswer: 38*m - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -294 - -294.5. Suppose 4*w - 3*i - 20 = 0, 0 = -5*w + 4*i + 5 + 21. Let z be (w\/(-6))\/(20\/48). Which is the closest to -2? (a) -1.3 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 plus -0.1369095256?\nAnswer: -1.9369095256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*d**3*m**4 + d**3*m**3 - d**3 - 2*d**2 - m wrt m.\nAnswer: 636*d**3*m**2 + 6*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*o - t, -11*o = -15*o - 4*t - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 510138 + 1020901 - 510763.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let a be (3\/(-2))\/(2\/244). Let v = a - -1467\/8. Sort 0.4, z, v in descending order.\nAnswer: z, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1217*v + 952*v + 530 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 4, n: 5, y: 8}. Give prob of picking 3 n.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 2. Let v be o(3). Let c = v - -8. Let b = 6 - c. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34*128\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-4 + 2) - (50 - (21 - -35))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -965.711 - -813.09. What is f rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.085473 years?\nAnswer: 85.025676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 21*w - 170. Let t be 6 - (-2 + (-35486 - w)). What is t rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/156 - 95188\/(-121264)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14641 and 1331.\nAnswer: 14641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-4) - 8\/4. Let p = 20\/123 - 541\/3075. Let m = p - -83\/600. Which is the nearest to f? (a) -5 (b) m (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207\/16 + -1389\/176. Let t = -1937\/304 + 7\/38. Calculate the common denominator of p and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50 + 2*t - 37*t**4 + 32*t**4 + 38 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 2*y + 2*y + (23 - 4 + 11)*(1 - 1 + y) to f*y + g and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3291617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*p - 330*p + 115*p + 113*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) + sqrt(231)*1)\/sqrt(7) - (sqrt(231) + sqrt(231)*-1)\/sqrt(7))\/((sqrt(99)*2 - sqrt(11))*-5) + 2.\nAnswer: -2*sqrt(3)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16980 and -55\/184.\nAnswer: 781080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y + 280 = 2*b, 5*b + 199 = 3*y. Suppose -y = -29*h + 87. Solve p + h = -w, 3*w + 6 = w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 3*z**4\/2 - 25*z**3\/3 + z**2 + 27*z. What is the second derivative of t(r) wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 32 = -2*n, -28*n + 33*n + r + 11 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -3 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(380)\/(sqrt(40)\/sqrt(4)) - (sqrt(2432)*-1 + sqrt(38)))\/(-1*-2*sqrt(98)*1) + 3.\nAnswer: 4*sqrt(19)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 1 (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**3 - 5*a**2 + 14*a - 6. Let j(f) = -8*f**3 + 6*f**2 - 14*f + 7. Calculate 6*h(i) + 5*j(i).\nAnswer: 2*i**3 + 14*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (-3 - 0) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/29214 and -145\/1224.\nAnswer: 1986552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*c + 5*c + 25 = 0, 3*c = -5*t - 15. Let r = t - -6. List the prime factors of (26\/(-6))\/(r\/(-36)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (919\/1253)\/(24\/14). Let a = s + -2\/179. Calculate the common denominator of a and 43\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -10361304.\nAnswer: -10361307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29782, -59577, -89372, -119167, -148962?\nAnswer: -178757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 3. Let p be a(-2). Suppose c = 3*s - 1, -4*s + 3*c = 2*c - p. Suppose s = -2*w + 6*w - 120. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**4*s + 49*h**4 - 40*h**2*s + 2*h*s wrt h.\nAnswer: -24*h*s + 1176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16766, 16747, 16724, 16697?\n\"Answer: -2*k**2 - 13*k + 16781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f - 3*f**5 - 8*f**5 + 7*f**5 - 3*f**5 wrt f?\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 16 = -d, 0*d = 2*d + 2*j + 8. Differentiate -a**2 + 7*a**2 - 4*a**2 + d + 0 wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*u**3*w - 14*u**3 - 2*u**2 + 10*w**4 + 75*w - 233 wrt w?\nAnswer: 6*u**3 + 40*w**3 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1981198 + -278?\nAnswer: 1980920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*f = 1758 - 6006 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -94454?\nAnswer: 94458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 105*n**2 + 408*n - 144. Let f(i) = -13*i**2 - 51*i + 12. Let a(p) = 1. Let s(l) = -6*a(l) - f(l). Let k(h) = 4*d(h) - 33*s(h). Factor k(r).\nAnswer: -3*(r + 6)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 352, 1382, 3094, 5488?\n\"Answer: 341*g**2 + 7*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 + -5 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -838459432*w**2 - 884390539*w wrt w?\nAnswer: -1676918864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5093345 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-10) - (1 - 5)*1. Let f be -3*((-19)\/h - -3)*0. Solve -4*n + f*n = 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.14 (b) 3 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.58 - -2.6. Which is the closest to 0.2? (a) 4\/3 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000122102 (base 3) in base 11?\nAnswer: 54562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - -0.44. What is the biggest value in -3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 95680 + 2891 = 0. List the prime factors of y.\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2827 + 2835.8744. Let h = 55.0546 + k. Let o = h + 0.071. Is o not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b. Suppose 0 = 5*l - 3*i - 40, -51*l + 5*i = -46*l - 60. Solve 4*o + 8 = 0, -5*c + l*o + b*o + 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37565 (base 10) to base 7.\nAnswer: -214343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m + 33. Differentiate 7*u - 42 - 19*u + 66 - m*u wrt u.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*(1 + -7). Let w = 3.5 + -3. Let i = w + -0.5. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1772 and -41\/298.\nAnswer: 264028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 24 = 3*u. Let g be (u*5)\/((-11)\/22). Solve -g = a + a - 4*z, -5*a - 3*z = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 224 + 70. Let n be 2\/(-6) - 3\/9. Which is the closest to n? (a) 2\/11 (b) -0.5 (c) i (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*a - 381, -5*a + 2*m - 276 = 179. Suppose 660 + 3 = 5*d + o, -d - 4*o = -144. Let y = a + d. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*d - 1760, 164*x - 167*x = 5*d - 1360. What is the smallest common multiple of 3 and x?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -19. Suppose -5*j + 4*z = 0, n*j - z = 4*z - 17. Solve -u + 5*v + 17 = 0, -j = -6*u + 2*u + 4*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - -243c8?\nAnswer: 24415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + c**4 + c**3 + 0*c - 4 - c + 3 as b*c**3 + i*c**2 + v + f*c + u*c**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + l + 17773 = 2*l, 0 = -3*l + 12. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28270 or 28265?\nAnswer: 28270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.269498 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/27)*q**28 assuming q is positive.\nAnswer: q**(785\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 45*t + 79. Determine x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*f + 197*f - 4 + 4 + 139*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 4709*h - 281315. Give g(-59).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:10 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/253, -0.2, -10 in ascending order.\nAnswer: -10, -0.2, 2\/253, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 + 2*m - 2. Suppose -6*b = -3*b - 9. Let q = 8 - -9. What is the remainder when o(b) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251974 is divided by 270997.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1491 divide 607142655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 9. Let z be (-1)\/(m\/(-6) + -2). Let -2*w**3 - w**5 - z*w**3 + 5*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -4)*(1 + -2). Let y be 30\/4*30\/(-25). Let n = m - y. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 4*k**2 - 4*k**2. Let y = 1 - -1. Suppose 4*m = y*r - 8, m + m + 3*r = 4. Give z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.9 - 24.9. Let h = 1225\/1644 + 2\/411. Which is the second biggest value? (a) h (b) q (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -40. Let g = f - 10. Let s = 31.3 - 31. Is g bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:37 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 3 - (37 - 22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/65564 and 19\/5441812?\nAnswer: 5441812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 13*b**8\/168 + 17*b**5\/60 - 24*b**2. Find the third derivative of f(g) wrt g.\nAnswer: 1560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -29\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 811, 1217?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -105*b**2 + 2*b. Let d(k) = 43*k - 13*k - 32*k. Calculate u(d(h)).\nAnswer: -420*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 4*n - 4*n + (5*n - 3*n + 0*n)*(1 + 1 + 0))*(0 + 1 + 0).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.48 - -0.08. Let k = -0.42432733 + 0.02432713. Let s = k - w. Round s to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/40109 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/(j\/j**(-1\/2))*(j\/j**(1\/2))**(-2\/5))**(-2\/25))**50 assuming j is positive.\nAnswer: j**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/891*18 - (-98)\/528. What is the second smallest value in v, 0, 58?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/((-6)\/(-4))). Let i = -2\/1877 + -45022\/24401. Is i smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - 3)) + (-1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) 5 (c) -4 (d) -5 (e) -28.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z**2 + 9*z**2 + z + 7*z**2 - z**3. Let r(j) = j**2 - 2*j. Calculate -g(x) + r(x).\nAnswer: x**3 + 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from iqqqgzifqziqhzz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19798 or 19771?\nAnswer: 19771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1404032 + -302?\nAnswer: 1403230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 710894378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(2*(-6)\/8). Let v = w - 2. Determine f so that -8*f**2 - v*f**2 - 19*f**3 + 5*f**3 - 4*f = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:29 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1 + 7 - 8*z - 2 + 5*z. Determine o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -12*p + 7*p. Suppose 5*u = u + p. Let i be 2*1\/(2 - 1). Put u, -2, i in decreasing order.\nAnswer: u, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*n - 27*n + 447 - 1567 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 6*r)*(-4 + 6 + 0)*(1 + 1 - 1 + (-3 + 5 - 1)*(-3 - 1 + 6) + 2 + 1 - 4 - 4 + 5 - 2 - 2 - 4 + 4).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -4.7, -5, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -44*l - 20. Let a(q) = -29*q - 13. Let u(o) = 8*a(o) - 5*p(o). What is the tens digit of u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -209691\/98 less than -2141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13722 - -13722.000019887. What is u rounded to seven decimal places?\nAnswer: 0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010244 rounded to 6 dps?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (29 - 35)\/(0 + (-1)\/(-8)). Let h be (6 - 0)*(-2 - -8)\/k. Which is the closest to -3? (a) h (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**3\/3 + 7*p**2\/2 - 2*p + 6. Give b(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 52, 63, 88, 133, 204, 307?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 4. Let d be o(4). Suppose -7 = -b + p + 8, d = 3*b + 3*p - 75. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32b45 (base 13) to base 9\nAnswer: -150164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1821.6 * -0.041\nAnswer: -74.6856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 241, 471, 695, 913, 1125, 1331, 1531?\n\"Answer: -3*w**2 + 239*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(77) - -2*sqrt(77))*2)\/(sqrt(21)\/(4*sqrt(108))).\nAnswer: -144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2\/4 + 317*s + 127 = 0?\nAnswer: -2\/5, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (-5)\/(15\/18). Suppose 0 = -0*j - 4*j - 3*p + 24, k*p = j - 6. Let o = 3 + 0. Solve j*y = y - 5*f - 45, 23 = -o*y - 2*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 10*v**2 + 5*v + 4. Let n be w(5). Let k = -109 + n. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142146 - 21.15?\nAnswer: 142124.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54824 and 3927.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 22 - t**3 + 11.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84475.\nAnswer: 5, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/7 (b) 0.4 (c) -2\/3 (d) -0.045563 (e) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 11*q**2 + 5. Let g be v(11). Suppose 8*m - g = -5. Solve m*x - 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 3 - (59 + (-26 - -25)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 2. Let l(h) = -h + 9. Let y be l(7). Let v(s) = -15*s + 33. Calculate y*v(j) - 33*c(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0*s + s + 0*s)*(-42 - 33 - 82).\nAnswer: 314*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 134839 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: Let f = -26 + 49. Let v = f + -24. Let p be (-6868)\/25432 - 2\/(-11). Which is bigger: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 13 - 4 + p**2 - 19 - 7*p. Determine i(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*(g**(-12)\/g)\/g)\/g*g**11*g)**(-3\/11) assuming g is positive.\nAnswer: g**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u**4 - 262*u + 262*u)*(-2*u + u - u)*(0 - 1 + 2).\nAnswer: -48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(10\/(-20)*50\/(-30)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 3*t - 10, -n - 20 = 4*n - 5*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 35*p + 17. Suppose -35*b + 37*b - 69 = -m, -2*m = -4*b + 142. Let s be r(b). Calculate the highest common divisor of 391 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000629602774 rounded to five dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.85 (b) 0.05218 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*k = -139*k + 550 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1826 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8273 (base 14) to base 9.\nAnswer: -747407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/5*4)\/((-36)\/2880). Calculate the common denominator of (-148)\/(-4 - 0)*(-2)\/y and (-6)\/(-15) - (-48)\/(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 143 - 11. Suppose 0 = -7*j + 4*j - f. Find the common denominator of (-4)\/14 + j\/(-28) and -3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 775*y + 8 + 998*y - 12 + 6 + 188*y as x + s*y and give s.\nAnswer: 1961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 227755343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c = 36*c + 5*l + 24, 0 = -2*l - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-19.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 3*c**2 + 4*c - 4. Let v be x(4). Let u be ((-11)\/22)\/(1\/4). Let w = u - v. Solve -3*q - w = 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 - 7*a**4\/24 - a**3 - 57*a**2. Let x be 3\/2*(-16)\/(-3). Let m = x + -3. What is h(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**2 - 12*x - 31. Determine v(-5).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-19 + 0)) + -1 + 259 + -266.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 533 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -1\/3, -4, 547421 in increasing order.\nAnswer: -4, -1\/3, 0.2, 1, 547421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4539 + -11532?\nAnswer: -8bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 24*i - 28*i = 21, -3*i = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6050068 is divided by 190?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-7)*14)\/((108\/12)\/9)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 25 - ((-3 - 1) + 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.143 + -0.142751. What is f rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 20*q - 271*q + (0*q + 0*q + q)*(6 - 1 - 4) - 1 + 1 - 2*q - 4*q - q + 3*q - 7*q + 3*q - 2*q.\nAnswer: -259*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 483772519 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let h = g - 3. Let l = h + 1.4. What is the second smallest value in 1\/3, l, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 661, 4966, 12581, 23866, 39181, 58886?\n\"Answer: 60*f**3 + 1295*f**2 - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22447 - -493745\/22. Find the common denominator of n and 37\/3778.\nAnswer: 41558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-8))\/((-333)\/18 + 18)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/(-1012) + (-3)\/(33\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-43 + 34 + -16)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*z + 25 = 0, -6604*y + 5*z = -6603*y + 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -5*m - 5*b + 4523, 2 = b. Round m to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a - 13. Let v be t(2). Solve -20 = v*h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 5. Let m be (i\/(-10))\/(2\/(-24)). Suppose -m*u + 2*u = -28. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0 + 1\/60*q**5 + 0*q + 1\/120*q**6 - 3*q**2 - 1\/12*q**4 + 0*q**3. Let c be j(2). Solve 4*p - 2*p + c = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1719, -6882, -15491, -27546, -43047?\nAnswer: -61994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y - 2 + 1 - 6*y + y**2. Calculate g(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 47*i - 22. Determine b(18).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213 and 343569?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185045981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129.85 or 1\/64?\nAnswer: 129.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/8))**(13\/2))**(-44))**(9\/2) assuming o is positive.\nAnswer: o**(1287\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 691 = 616. Let r = -26 + -9. Let u = r + c. What is the remainder when 197 is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845703134 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1822*y**3 + 3*y**2 - 12. Let c(u) = 1823*u**3 - 4*u**2 + 16. Give -4*b(z) - 3*c(z).\nAnswer: 1819*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950483 is divided by 327831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - n**3 + 28192*n**2 + 6838902*n.\nAnswer: 40*n**3 - 6*n + 56384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.05, -19, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7*z - 4*z = 3605, 4*z - 2163 = -3*f. What are the prime factors of f?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 63*u**2 + 2*u + 3. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 6*h - 6. Suppose 0 = 4*q - 20 - 8. What is the tens digit of k(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*m = 37, -4*j = -5*j - 3*m - 4. Let l(p) = -p**2 + 12*p - 22. Let s be l(7). Let o = s + j. Sort o, 7, -4 in descending order.\nAnswer: 7, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/12*15\/(-10). Suppose 5*s + 49 = 2*l, 2*l + w*s = 2*s + 41. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -37. Let k = 10 - c. Suppose 2*b + 2*b = -k. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 13 = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 402b - -4?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*n + n. Suppose -6 = 4*l - 3*u - n, -3*l = -u - 19. Suppose 5*q = -2*i + 290, i = -4*q - 21 + 250. What is the highest common factor of l and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 11. Let d be g(6). Let k = 3 + d. Let c be 0\/(3 + k + -2). Is 2 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72625\/(-2490))\/(14\/(-12))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -84084, 7, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -843, -1531, -2219?\n\"Answer: -688*z - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47487 is divided by 321.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-2*-4 + sqrt(56))\/(-5*sqrt(8)*2).\nAnswer: -9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*u - 27*u - 101*u - 31*u + u**2 - 5*u as a*u**2 + i + f*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 526*w**2 + 528*w**2 + 2*w + 2*w - 2*w to t + z*w + d*w**3 + j*w**2 + u*w**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -643 - -36?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3564 + 12*y + 3564.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103369?\nAnswer: 167, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2982 = -23*v + 17*v. List the prime factors of v.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 + 1 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)*(f**(-6)*f*f)\/f)**24)**(-27) assuming f is positive.\nAnswer: f**3024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n**2 - 3*n + 9. Let v(k) = 8*k**2 - 2*k + 5. Let s = -252 + 241. What is s*v(y) + 6*g(y)?\nAnswer: 2*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Suppose -x*a - 3*m - 83 = 0, -98 = 3*a + a - 2*m. Let d = 47 + a. Solve -4*j - 12 = 4*o - 8*j, 5*j - d = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/416)\/(7\/(-336)). Factor -1\/7*c**5 + 0*c + 0*c**2 + 0 + 0*c**p + 2\/7*c**4.\nAnswer: -c**4*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/3150 and -139\/1400?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -597.461244 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 323 and 119?\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 843, 10, -148?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/120 - 13*g**4\/24 + 185*g**2 - 1. Factor u(h).\nAnswer: -h*(h + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-7))\/(7590\/3220)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 80. Suppose -k*p - 8 + 2 = 0. Let q be ((-19)\/3 + -1)*12\/32. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-12850\nAnswer: -102800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -678, -683, -688, -693, -698, -703?\n\"Answer: -5*h - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j**3 + 4*j**2 - 6*j + 2. What is c(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 17*c**2 - 585*c + 1087. Give g(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 1. Let p(j) = -j + 1. Let f(o) = -4*g(o) - 5*p(o). Let b be f(-9). Calculate the remainder when 31 is divided by (136\/20)\/((-4)\/b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*((sqrt(1584) + sqrt(1584)*2 + sqrt(1584))*1 + 2 + 1*sqrt(1584) + -5 + 4)**2 + 1).\nAnswer: -1188035 - 3600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 6*b + b - 6*b.\nAnswer: b + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*w + 27 = 0, -90*m + 94*m = 10*w - 74 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.36912*-0.019.\nAnswer: -0.06401328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667730546 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0729809441 rounded to five decimal places?\nAnswer: -0.07298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c + 3595 = 3255 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**5\/180 - u**4\/36 + u**2\/2 - 2. Let y(d) be the second derivative of o(d). Let y(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtgzgghzqqq. Give prob of picking 3 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6 - 4, -o = 5*j. Let m(c) = c**3 + 4*c**2 + 3*c. Let l be m(-3). Suppose -8*w + 2*w + 24 = l. Solve 0 = -5*g + 21 - j, 4*g - w = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 - -11121222200222?\nAnswer: 11122000000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8295, 5\/6, 0.5, -1 in descending order.\nAnswer: 8295, 5\/6, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3850*b**3 + 5133*b**3 - 1248*b**3.\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7599734 divided by -2?\nAnswer: -3799867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 10) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(12 - 150\/(-20))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(10\/3)*h)\/(h\/(h*h**15*h)) assuming h is positive.\nAnswer: h**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22938371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 2 - 2)*(26 + 12 + 28 + (-5 + 2 + 1)*(1 - 2 + 0)).\nAnswer: -408*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-15))\/((28\/10)\/(4655\/950)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((4\/2)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 - 2*y**3 - 8*y**2 - 4*y**2 to the form r*y**2 + p + q*y + t*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/5325 and -67\/2532215.\nAnswer: 37983225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a - 6. Let g be w(-4). Let v be (-17)\/((-68)\/264) - -6. What is the highest common factor of g and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -21. Let g = h + -15. Let p(i) = -i**3 - 26*i**2 - 69*i - 6. Let x be p(-23). Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) - (sqrt(297) - (-2*(sqrt(297) + sqrt(297)*-1) - sqrt(297))))\/((-5*-2*sqrt(77) + sqrt(77))\/sqrt(7)) + -2.\nAnswer: -2 - 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277175667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 32128 to the nearest one hundred.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(242) + -2.\nAnswer: -22*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**2 - 26*c + 24 = 0. What is c?\nAnswer: -4, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + -515 + 588.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 24 = 4. Solve c + 0 - 10 = 2*d, 0 = -3*c + x*d + 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 18*l**2 - 37*l + 114. Let h be t(16). Solve -5 = h*u - 73 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - s + 5)*((3 - 5 - 3)*(-3 + 5 + 1) + 0 - 1 + 3) to m + u*s and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 7*p**2 + 6*p - 2. Let i(z) = z**3 + z**2 - z - 1. Let o(t) = -i(t) - j(t). Let f be ((-54)\/(-63))\/(2\/(-14)). Is o(f) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 5 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 129300?\nAnswer: 905100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*f + 9, -f - 6 = 2*f. Let m = -0.12 - 2.38. Let o = m - -3. Sort c, -0.1, o in descending order.\nAnswer: c, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 14. Let v(r) = -6*r + 71. Give -2*v(z) - 11*x(z).\nAnswer: z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14231744 is divided by 22483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85718215 or 85718210?\nAnswer: 85718215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from dxcsxdxxdd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755 divided by 219?\nAnswer: 2755\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81\/45*20\/(-6) - -37. What is the second derivative of 32 + 23 - 88 - 4*j**4 + b + 26*j wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91055 is divided by 3372?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -8 - 0. Let l = m - 4. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 12?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259603, -259831, -260209, -260737, -261415, -262243?\nAnswer: -263221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o. Suppose 0*d - 11 = -2*d + 3*a, o = 2*d + 2*a + 14. List the prime factors of 27 - -4 - (d - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:41 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide -5*27\/(-15) - -387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 6103.\nAnswer: 3\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:55 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 3, 64, 197, 426, 775?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.5, 5549, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/((-2)\/(-6)). Suppose 0 = -u + 6*u. Let j = k - u. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 41 - -59 - 98?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2218 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:47 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221202 - -12?\nAnswer: -11221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3 - 7 = 4*i - 5*u, 29*i - 23 = 3*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -33*p + 4*g - 23, p + 2*g - 7 = 0. Let r = 2 - -1. Let f(j) = -4*j**r - 1 - 5*j**2 + 4 + 3*j**3 + j**2. What is f(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64552200 + -4?\nAnswer: 64552163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -52. Let x(m) = 4*m**2 + 6*m. Let b(y) = -y. Let u(c) = s*x(c) - 6*b(c). Let j(o) = -6*o**2. What is u(j(i))?\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/4 + 27*l**3 - 781*l**2 + 2808*l - 2704 = 0.\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 101 - 11*o - 81 in the form b*o + a and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l + 7. Let d(p) = 470*p - p**2 - 470*p. Calculate d(s(f)).\nAnswer: -16*f**2 + 56*f - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 22 = 5*p - 34, -2*p + 16 = 2*f. Suppose -z - 6 + 42 = 0. Suppose -15*o = -12*o - z. Solve -5*q + b + 4 - o = 0, -2*b = -4*q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9781\/4 + 2446. Let u(r) = 2*r**2 + 4*r + 4. Let o be u(-3). Suppose o - 6 = -4*n. Which is the biggest value? (a) w (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 259*z**4 + 94237*z**3\/5 + 510491*z**2\/5 + 658407*z\/5 - 179694\/5 = 0?\nAnswer: -67, -3, 298\/1295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.35 + 41.35. What is the nearest to 4 in l, -4\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -39, 1\/7, 0.01, -1\/4 in ascending order.\nAnswer: -39, -1\/4, 0.01, 1\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -259 (b) 0.3 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2294, 5, -408.\nAnswer: -2294, -408, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 0.05 (c) 3\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -18. Suppose m*y - 2*y = 8. Let p be ((-5)\/25*0)\/(-1). Solve 0 = -p*b - y*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.848 - 0.152. Let l = 56 + j. Let g = -2.08 + -0.02. Is g at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (200\/8 - 2). Suppose 96 = 2*n + n. Suppose -w + 3*f = -28, 5*f + 0*f = w - n. Calculate the highest common factor of w and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 2*i + 1. Let p be d(1). Suppose -h - 6 = p*h. Let v(m) = 3*m**2 + 2. Let s(o) = -4*o**2 - 3. Calculate h*s(c) - 3*v(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (155\/(-10))\/((-2)\/12) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 12*h**2 + 126*h + 110. Calculate x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-4)\/(-8)*-8. Suppose 5*r = 0, 0*q + 3*q + 6 = -l*r. Which is the nearest to q? (a) -0.03 (b) -0.3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44616 = 237016*k - 235664*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1807426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*p**3 + 4 + p**3 + 15 - 3*p**3 wrt p?\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(72))*6 + (sqrt(72) + 0 + sqrt(72))*5 + (sqrt(72) - (sqrt(72) + sqrt(72) + 2 + 1)))**2.\nAnswer: 13500*sqrt(2) + 21825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 13. Suppose 3*p - n = -0*p. Solve 0*w + 0*w**2 + w + p*w**2 - 4*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110992 is divided by 55491?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198901 is divided by 16573?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24684 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213 - -219. Solve 15 = -9*l + m*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1528398, 1528396, 1528394, 1528392?\nAnswer: 1528390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*f - 140 = 345*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.3, 0, -5\/4, -5, 42, -70?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14759550*a*n**2 - 108*a*n + 6679*a wrt n?\nAnswer: 29519100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Let s(q) = -6*q**3 - q**2 - 2*q - 1. What is the remainder when s(-1) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 8:37 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 12*l**2 - 68*l + 246. Give p(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 + 151*d**5 + 502*d**3 + 329666*d**2.\nAnswer: 240*d**3 + 9060*d**2 + 3012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - z**5 - 2*z**4)*(-2 + 4 - 5) + 0*z**5 + 0*z**5 + z**5.\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let h(o) = -22*o + 11. What is -h(f) + 11*z(f)?\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/15 + 116\/(-120))*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180) - sqrt(180)) + (sqrt(320)*-4)**2 - ((sqrt(5) - (2*sqrt(10)\/sqrt(2) - sqrt(5))**2) + (sqrt(60)*-2)\/sqrt(12))*-1.\nAnswer: -sqrt(5) + 5115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 371, 364, 355?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - k**2 + 4*k - 12*k**2 + 64 - 6*k + 6*k**4 as q*k**4 + i*k**2 + m + z*k**3 + g*k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 17171 = 3*h - 113356, -2*h - 5*j + 87018 = 0. Suppose 7*f - h + 7109 = 0. What is f rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 39*r**2 - r + 2. Let g be m(1). Suppose 0 = 3*a, -c - 2*a = -g - 12. Suppose -4*f = -5*u + c, f = -f - 6. Is 8 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmh when four letters picked without replacement from {i: 2, s: 4, h: 2, m: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f - 5*f + f**2 - 20 + 9*f. Let i be 6\/8 - 1 - 1375\/100. Let m be v(i). Calculate the greatest common factor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34671756 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, c: 2, k: 4, y: 2, q: 2}. Give prob of picking 1 y and 1 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-35)*(2 - 61\/(-2)). Let q be (-141)\/(-15) - (-4)\/(-10). Solve -q*a - 20 = -o*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1) + (-5 - (-1 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555\/14*(-132384)\/(-47280).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3563\/18 - -198. Let f(b) be the second derivative of 2*b + 1\/90*b**6 + 0*b**3 + 0*b**2 + p*b**4 + 0 + 1\/20*b**5. Factor f(u).\nAnswer: u**2*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2 + j + 1 - 5. Let n be m(11). Solve 11 = -n*t - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-11*803\/(-1606)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 17, 14, 9, 2, -7?\n\"Answer: -a**2 + 2*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 217 = 721. Suppose 214 = 5*x - v. Suppose 5*s = 5*n + 60, -4*s - s + x = -3*n. Calculate the lowest common multiple of s and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*b - 3*f, -1305*b + 1310*b - 4*f + 16 = 42 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 9:11 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let k be r(-4). Suppose 2*m - 2 = -k. Is m\/4*2*-66 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/1*(-3)\/12. Suppose j - 140 = -d*j. Solve -9 = m + 3*r, -4*m + 5*r + j = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 31*z - 54. Give d(21).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 + 274. What is the second derivative of -38*t**4 + u*t - 5 - 3*t**4 - 64*t**4 - 22*t**4 wrt t?\nAnswer: -1524*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 12 + 21 + 258*t in the form n*t + c and give n.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 6. Let c(t) = 1. What is -3*c(p) + o(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 1 + 0 + 4*c. Let h be x(1). Suppose i - 4*t - 63 = 0, -5*t + 357 = -h*i + 6*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22684 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 89\/1008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 14. Let q be ((-4)\/18)\/(3\/3). What is the closest to -2 in q, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -113. Let q = -43 + d. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = 2*v, 0*c - 2*c = -5*v + 20. Suppose 0*f - v*f = -64. Calculate the remainder when 127 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6188, -6178, -6158, -6122, -6064, -5978, -5858, -5698?\nAnswer: -5492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*s - 20 = -9, -2*s = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 119\/699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798945433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1724.\nAnswer: 517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = a + 3 - 18, 5*x = -4*a + 60. Suppose -4*u + 24 = -u. What is the remainder when a is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*q - 75*q - 5811870 - 5153204. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*c + 8*c = 3*q - 34, -87*q - 29*q - 44*q + 332 = -3*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/180 + 3*m**4\/4 - m**3\/6 - 32*m. Let a(c) be the third derivative of p(c). Calculate a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3, 2, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 - a**2\/7 - 6*a\/7.\nAnswer: a*(a - 3)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/35 - 1\/210. Let k(s) be the second derivative of 0 + 49\/60*s**6 + 0*s**3 + j*s**4 + 0*s**2 - 7\/10*s**5 - 3*s. Let k(z) = 0. What is z?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21*t**3 - 3*t**2 + 9. Give f(2).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + w - 3*w**2 + (-w**2 + w**2 + w**2)*(2 + 3 - 3) - 4*w**2 + 5*w**2 - 2*w**2 to u*w**2 + v + h*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80028998 divided by -718.\nAnswer: -111461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 61247944?\nAnswer: 1\/7655993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 + 10*n - 3. Let m be a(-9). Let l = m - 235. Solve -13*h**4 - 5*h**4 - 104*h - 10*h**3 - 86*h**3 - 34 + 10 - l*h**2 = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 18687, -4, -1, 16 in decreasing order.\nAnswer: 18687, 16, 12, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {g: 3, l: 5, i: 1, n: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1862387294 rounded to three decimal places?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534490, -1069015, -1603538, -2138059?\nAnswer: -2672578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -3.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o + 35. Let r be c(8). Suppose -5*v + 4*v = -4*i - 16, 3*i + 2*v = -12. Calculate the remainder when (147 - 0)\/(i - r) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113428693 is divided by 51071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1268882 and 113\/516.\nAnswer: 327371556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3949203 (base 10) to base 6.\nAnswer: 220351203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -16 (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22867, -37006, -51145?\n\"Answer: -14139*l - 8728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 95*y**2 - 462*y + 19. Let f be u(-42). Which is the nearest to -0.107? (a) -2\/5 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105848 at least as big as 355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/4*(-18)\/15. Suppose -o*s = -16*t + 13*t - 723, -470 = -2*s + 5*t. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 22007432?\nAnswer: 66022296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 7.659.\nAnswer: -22.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*j - 374*h**2*j*o**2 - 48*h*j*o**2 + 53*h - j*o**2 wrt h.\nAnswer: 12*h*j - 748*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*q - 3*q. Let y = -18 + q. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*22\/(143\/13).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -322, -484, -646, -808?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 85375944481.\nAnswer: 85375944484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7*b + 463 = 3*b, 186 = 2*q - 2*b. Let k = 71 - q. What is the tens digit of 264\/k*(-60)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {p: 4, k: 3, x: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h + 2 - 8*h - 10*h. Let v(p) = -8. Let s(x) = x - 7. Let n(b) = 7*s(b) - 6*v(b). Let w be -12 + (-1)\/3*-3. Determine w*n(o) - 6*y(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 - 91*q**2 - 1170*q.\nAnswer: -6*q - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 + 7 + 0*j**2 + 6*j**2 + 5*j**3. Let q be (4 - 0)\/(3 + -1). Let o(x) = -6*x**3 + 2*x**3 - 12 - 5 - 13*x**q + 2. What is -6*o(l) - 13*p(l)?\nAnswer: -2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334078604 divided by -4.\nAnswer: -83519651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13921 + -22993. Is k\/(-5) + 68\/(-20) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssssws. What is prob of sequence ws?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v + 5 = 0. What is the lowest common multiple of 6 and (-7)\/(v + 0 + -2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 223650*t - 223655 = 0. What is t?\nAnswer: -44731, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-4)\/4 + 0). Suppose -3 = 2*z + z, -2*z + 18 = 5*t. Let f(b) = t + 3*b - b**2 + o*b**2 + 0*b**2. Give f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*m + 5883 = -m, m = -5*l + 14700. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 32256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 45*r**2 + 66*r - 213. Let p be o(3). Which is the nearest to 2\/5? (a) -0.4 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 621786860 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.45 - -3.6. Let o = j - 4. Let y = -0.35 - o. What is the smallest value in -3\/7, y, -1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 429*h**2 - 21860*h + 81. Calculate p(-46).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 - 6. Let o be r(3). Let n = -1 + o. Suppose n*a - 15 = 3. Calculate the remainder when 15 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 0.4.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1830*i + 10*i**3 - 1830*i.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-45)\/(-18))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 118*s**2 + 6*s. Let c be z(-3). Let x = c - 923. Calculate the remainder when x is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 34 = 2*w, -w - 10*x + 15*x + 100*x - 226 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32a68 + 2dd?\nAnswer: 32d67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -15, 21*y = 25*y - 4*i - 100936. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 0*j)*(-1 + 1 + 8)*(4*j - 2*j + j)*(-3 - 2*j + 3).\nAnswer: 192*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 + -2)\/1)\/1. Suppose 91*g - 38*g - 98686 = b. What is the highest common divisor of g and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7302 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 3, t: 1}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268 + -136. Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*u - 32 = 0, b = u - 6*u - 15. Suppose -b*k + 3*n + 55 = 0, -4*k + 9*k = 4*n + 60. Suppose 0 = w - w + k*w. Solve -4*m - 20 + 8 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2\/7 - 3508*k\/7 - 105600 = 0.\nAnswer: -525, -352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84155 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193811059 is divided by 64603681.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) + sqrt(84)*-1))\/(-2*sqrt(1200) - sqrt(1200) - sqrt(12) - sqrt(12))*1*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 3. Let r = -1\/1377 - 33029\/26163. Let y = r - -206\/133. Which is the biggest value? (a) -1 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*f + 22. Suppose 0 = 6*v + 5 + 43. Let a = v + f. Solve a = -y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 8, g: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 11:03 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 7. Let v be 1\/(-4) - 34\/j. Suppose -5*k + v*w = -36 - 58, k = -w + 26. Calculate the least common multiple of 8 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103632 + -15223?\nAnswer: -121055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:54 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -45. Let j(o) = o + 11. What is j(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 4*c. Suppose -5*o - 27 = 4*a, -2*o - 18 = 5*a - o. Let j be k(a). Which is greater: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.2 - 22.4135. Let i = -0.21348126 - n. Round i to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -65*h**4\/12 + 90*h**2. Let w(x) = -2*x. What is w(z(l))?\nAnswer: 260*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.131785um?\nAnswer: 6131.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 6*t - 2*t)*(-2 - 3 - 1) - 2 + 2 + t + (-2 + 0 + 1)*(-3*t + t + t).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-168)*4\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293652 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.62174l to millilitres.\nAnswer: 99621.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 313 = -4*c + 3*c, -3*o + 466 = -2*c. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7038 and 317322?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 51. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2504291326?\nAnswer: 2, 1252145663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-1\/14) assuming g is positive.\nAnswer: g**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 220369907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -1, -2.57 in descending order.\nAnswer: 4, 0.3, -1, -2.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmlm when four letters picked without replacement from cccclccclclcpmcll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2569322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:18 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 8582 and 55599001.\nAnswer: 55607583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 237408, 475062, 712714, 950364?\n\"Answer: -r**2 + 237657*r - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -x + 4*k - 13, 5*k - 16 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2608787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(2\/139))**(-35) assuming x is positive.\nAnswer: x**(-140\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 3, 45, 123, 249?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287533903499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 3*f + 5*w - 807, 0 = 4*w + 12. Calculate the smallest common multiple of (3 - (-14)\/(-6))*9\/3 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l**2 + 4*l**2 - 6*l**2. Let k(w) be the third derivative of -w**3\/6 - 3*w**2. Let a(b) = b + 3. Let r(c) = 2*a(c) + 6*k(c). Give m(r(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*o = 547*o - 717*o - 18718 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.254 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-24) - (-974)\/6. Let s = h + -106. Suppose -o - 4*v = -8 - 20, -4*o + s = 5*v. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/3 - 88*o**2\/3 - 1048*o\/3 - 1760\/3 = 0. What is o?\nAnswer: -22, -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 minus 0.331?\nAnswer: -47.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1135996\/51 >= -22273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 3, w: 1}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/168 and -53\/1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1416, 729, 42, -645, -1332, -2019?\nAnswer: -2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -141, -216, -291, -366?\n\"Answer: -75*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:42 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-18)*-4*9\/2. Solve 0 = 3*h + 4*l - 11, -2*h + 0*l + d = l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -3 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 56 + 71)*(31*u - 8*u**2 - 31*u)*(u + 5*u - 3*u).\nAnswer: -1104*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j**3 - 12*j**2 - 13*j - 8. Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-18) - 8\/(-36). Suppose -w*a = 52 - 32. Let t be 4\/a - 410\/(-25). Solve 0 = 2*n - 4*f + t, n + 1 = 2*n + f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1675*m**2 + 2*m + 3. Let q be ((-4)\/6)\/((-12)\/126). Let a(d) = 2512*d**2 - 3*d - 4. Let f(c) = q*g(c) + 5*a(c). Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -6341*v**6\/120 - 1684*v**5\/15 + 216*v**2 + 2. Find the third derivative of j(a) wrt a.\nAnswer: -38046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 49*g**2 - 104*g + 143. What is t(51)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:45 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - 6*(sqrt(320) + 0))**2 - (1 + sqrt(320)*-1).\nAnswer: 8*sqrt(5) + 7999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128345017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 1, c: 1}. Give prob of sequence luc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 6154\nAnswer: -57\/3077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -286, -334, -380, -424?\n\"Answer: q**2 - 53*q - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -17*f + 8. Let k be y(-6). Let n(g) = 2*g**2 - 11*g + 4. Let o be n(8). Calculate the greatest common divisor of o and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419152 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9 - 6*i - 1 + 10. Let l(b) be the first derivative of b**5\/120 - 2*b**3\/3 - 1. Let x(v) be the third derivative of l(v). Determine j(x(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 2*t**2 + t + 2. What are the prime factors of m(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103 - 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*y + 371, 5*n - 288 = n - y. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9933268*i + 9200952?\nAnswer: 9933268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, 13, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.56642 and -1681546.25?\nAnswer: 1681545.68358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543 + -488 + 3 + 9 + -4.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from ellelleleeel?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154076?\nAnswer: 2, 13, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q - 7. Determine z(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1. Let s(n) = n - 5. Let c(f) = -f + 1. Let o(k) = -4*c(k) - s(k). Calculate 3*d(r) + o(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u - 2*u + 142 = 0. Let k(t) = -3 + 0*t**2 - 1 + 12*t + 1 - t**2. Let b(s) = 6*s - 1. Determine u*k(q) - 5*b(q).\nAnswer: -2*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2.207\nAnswer: 0.2207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1))**(-13\/2)*v*v**(2\/3)*v**(-4\/13) assuming v is positive.\nAnswer: v**(53\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3605 times -0.23\nAnswer: 829.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 84 = 5*z + 14, -14 = -z + v. Suppose z = 4*a - 6. Suppose 4*m + 0*p - a*p = -2, -18 = -5*m - 4*p. Which is smaller: 3\/2 or m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 15)*2\/6. Let b = 6 - d. Suppose 28*x - 2*x - 494 = 0. What is the smallest common multiple of x and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3164483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.1. Let x = 52 + -51.6. Which is the closest to q? (a) x (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1137272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*z - 2867 - 5963, 4*z = -2*w - 8828. Let y = 2410 + w. Round y to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*y**2 + 11*y + 87*y**2 - 50*y**2 + 9 - 52*y as h + m*y**2 + j*y and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5) + 10\/(-25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 j, and 1 s when four letters picked without replacement from {s: 1, h: 3, b: 4, o: 7, m: 1, j: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0 + -4b685?\nAnswer: -4b775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -423, -854, -1285, -1716, -2147, -2578?\n\"Answer: -431*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (-3 + -4 + 5 + sqrt(75) + 1 + 3)*2)**2.\nAnswer: 40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4095654*q**3 + 4397634.\nAnswer: 12286962*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 0 = 2*r + 3*k, -2*r - 2*k - 16 = 0. Let t = r - -3. Suppose 5*v = -g + 213, 3*g - v = -t*v + 671. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240940773 divided by -3369?\nAnswer: 71517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-13*a + 17*a - 14*a) + 1 + 5*a - 4*a - 2*a + (a - 5*a + 2*a)*(2 - 2 - 2) - 5*a + 4*a + 2*a.\nAnswer: 24*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*u**5 - 27*u**5 + 1134*u**3 - 324*u**2 - 265*u**2 - 79*u**2 + 12*u**5 wrt u?\nAnswer: 120*u**2 + 6804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u**5 - 2070*u**4 - 22476*u**3 - 36360*u**2 + 80928*u - 30720 = 0 for u.\nAnswer: -64, -10, -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/12 - 2*d**3 + 5*d**2\/2 + 4*d. Let x be n(-12). Let z = 8 - x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-36)*128\/(-80) - (-2 - 0)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 25, 13, 5.\nAnswer: 3, 5, 7, 13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*d - 25. Let q be 4\/d - (-124)\/186. Solve 13 = -q*p + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -d + 3*t, -d = -5*d - t + 12. Suppose -2*a + 3 = w, -52 = -6*w + 2*w + d*a. What is the remainder when w is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 70 = f. Let a be 2845\/f - (-4)\/(-14). Let g = a + 82. What is the smallest value in g, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a + 5. Let d be k(-5). Let i = 8 - 3. Suppose i*z - 3*g + 4 - 64 = 0, 2*z - d = g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*a**5 - 273*a**4 - 6*a**3 + 246*a**2 + 153*a + 27 = 0. What is a?\nAnswer: -1, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppc when four letters picked without replacement from pvppcvvbcv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = -f. Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4425 + 4530 + -78 + 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 997, -3\/4, 482?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = -u. Suppose u*h = -71 - 1. Let w = h + 34. Solve l - 5*f + w = 6*l, 0 = -3*f + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/16 in 12, -0.4, -20, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b + 2*b)*(-49*b**3 - 74*b**3 + 43*b**3).\nAnswer: -160*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -607\/2 - -216. Let u = b + 86. What is the biggest value in -8, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 39*q**2 + 356*q + 147. Give u(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106548136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 2, w: 1, b: 3, v: 6, s: 5}. What is prob of sequence sw?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + sqrt(150)*-1*4 - sqrt(150) - sqrt(150))\/(-2*sqrt(5)*-2 - sqrt(5)))\/(sqrt(768)\/sqrt(8)*2*2).\nAnswer: -5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g + 10 = 57*g. Solve -g = r - 2*i, 0*r + 4*i = -4*r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47643843 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344366 (base 7) to base 2.\nAnswer: 1111000010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 + 12*g**3 + 592*g**2\/5 + 2112*g\/5 + 2304\/5 = 0.\nAnswer: -12, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxwoxwxwwxwwxwxwxxw. Give prob of sequence oxww.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 17.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcq when three letters picked without replacement from qwcqrqqcccqqqqqw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**4 + 3*b**3*d + 116*b**2*d - 293*d + 3 wrt b.\nAnswer: -4*b**3 + 9*b**2*d + 232*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/13, 26, -2, -1621\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1166*v + 1169*v - 1008. Calculate the least common multiple of v and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -45*v**5 - 460*v**4 + 76760*v**3 - 881030*v**2 - 1174955*v - 216750 = 0.\nAnswer: -51, -1, -2\/9, 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -2*n - 26, -1407*j + 5 = -5*n - 1402*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*q**4 + 4*q**3 - 2*q**2 - 14*q + 3 wrt q.\nAnswer: 2928*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhrrhhhhhhhhhhhhh. What is prob of picking 3 h?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106297 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -20*a**3 + 16*a**2 + 40*a + 130. Let u be l(15). Round u to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2297\/14777?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*(((-17)\/(-1))\/(-68))\/(1\/1)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 358.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 192, 290?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 114104.476 to the nearest 1000.\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -i - 0 - 1, 8 = i + 2*a. Calculate the remainder when 223 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 + 4*y**2 + 2*y. Let i(q) = 4*q**3 + 9*q**3 - 17*q**2 + 2*q - q - 9*q. Calculate -2*i(f) - 9*x(f).\nAnswer: f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3796, -1, 0, 4, -32, 5 in ascending order.\nAnswer: -3796, -32, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/5)\/(6\/(-15)). Suppose 0*p - 33 = -u*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 194, 298, 406?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffggtttgggfttttftggf. What is prob of sequence ftg?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 844 = 1231. Let u = j - 414. What is the nearest to u in 0.1, 0, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 14 + 32 + 5 - 21266*y.\nAnswer: -21266*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.81 - 6.81. Sort h, -5, -1 in increasing order.\nAnswer: h, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:28 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 139*y**2 - 4*y + 3. Calculate v(1).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -19177495.\nAnswer: -115064970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**4 - 353238*n**2*y - 1317*y + 388 wrt n.\nAnswer: -8*n**3 - 706476*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 + 2 = 0. Let q(t) = 6*t - 2. What is the tens digit of q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let x = i - 12. Let a = x + 10.9999952. Round a to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2\/11, 0, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*8\/((-640)\/12)*5*470\/(-15)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 370797.\nAnswer: 370797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from vxvvxv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 367.3856t?\nAnswer: 367385.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 q when four letters picked without replacement from emqehtggtgqgmt?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjuujjj. What is prob of sequence jjuj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 766038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > 6020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + u**2 + (-u - 4*u + 3*u)*(3*u - 5*u + 3*u) + 2*u**2 + 0*u**2 - 4*u**2 + 4*u - 1984 - 114*u**2 - 1977 + 3962 + 0*u - u**2 + 0*u.\nAnswer: -118*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, -502, -1, -4 in decreasing order.\nAnswer: 0, -1, -4, -20, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 144*m + 66. Give t(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226700.\nAnswer: 2, 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 4*j**2 - 5*j + 4. Let f be k(3). Let r be 14\/(-10) - f\/5. Let q be 4\/10*(-3)\/6. What is the nearest to 1 in r, q, -3\/10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 + (-9)\/(-6). Let x be 4\/(12\/(-105)*-7). Suppose -t*m - 12 = 5*i, -x*i = -m - 4*i + 8. Solve -m*n + 3*v - 9 = 0, -4*n - n - 3*v + 9 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**6 - 4*u**5 - u**2 - 2. Let h(q) = 1372*q**6 - 18*q**5 + 12*q**2 - 5. Let d(g) = 5*a(g) - h(g). What is the third derivative of d(b) wrt b?\nAnswer: -165240*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 171\/63 - 4\/(-14). Suppose -4*g + a*g = 7. Find the common denominator of 57\/16 and 293\/126 - 2\/g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7668787706 to three dps.\nAnswer: -0.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g**3 - g**2 + 18*g - 62. What are the prime factors of o(4)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 20*a**2 + 7*a + 129. What is c(-20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + 343*a**2 + 89*a - 250. Calculate q(86).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 1:04 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3521283*p**3 + 1548*p**2 + p + 284 wrt p?\nAnswer: -21127698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15090 + 4*w - 15101 - 3*w.\nAnswer: w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/13*((-4)\/(-12))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 5*z + 14 = -2*b + 73, 0 = -5*b - 22 + 7 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -21*j - 2. What is z(-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8721991 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19356, -37054, -54752, -72450, -90148, -107846?\nAnswer: -125544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 s when three letters picked without replacement from zfjbs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.03 - -0.03. Suppose -5*a = -5*b - 20, 5*a - 1 = -b + 7. Suppose -a*v = -2*o + 6, -2*v = -5*o - 5 + 17. Is j < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m + 6. Let f(l) = 68*l - 279. Let i(g) = f(g) + 6*w(g). Let s(a) = 4*a. Give s(i(j)).\nAnswer: 8*j - 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19336?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {i: 4, f: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*j - 38228*j**3 - 16 - 18*j**2 - 16 + 38230*j**3.\nAnswer: 2*(j - 4)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 - 45*b + 3*b - 16*b + 7*b**2 to m*b**2 + n*b + f and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/303876 and -103\/204?\nAnswer: 5165892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 160799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/(-33 - (-45 + 15)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 8939256*z - 6659191486128.\nAnswer: -3*(z - 1489876)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1904 = 5*y - 7874. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186263 - 1344063476.\nAnswer: -1343877213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11999020, 11999022, 11999024, 11999026, 11999028?\n\"Answer: 2*y + 11999018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -340425 (base 6) to base 3\nAnswer: -1110022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 44393 = -1399. Let g = 3136500 + -1527948. Suppose w = i - g. Round i to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442688997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2321 is divided by 159.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38163073 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfvmossvmssmqssm. What is prob of picking 1 v and 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -28*j**5 - 37*j**4 - 8*j**3 + 7*j**2 + 3*j. Let n(k) = -k**5 + k**4 - k**3 - k**2 + k. Let i(t) = d(t) - 3*n(t). Factor i(r).\nAnswer: -5*r**2*(r + 1)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + (-69)\/(-12). What is the remainder when (2 + -68)\/((-4)\/j) is divided by ((-52)\/(-234))\/(2\/306)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-21)*(1 - 10). Suppose -5*l + c + 67 = 0. What is the remainder when l is divided by 0 + 6 + -1 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(18\/48). Let q = -1\/4 - -1\/36. Let m = 2.2 - 2. What is the closest to q in -3, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -904445, -1808888, -2713331, -3617774?\n\"Answer: -904443*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -724.6, 0 in descending order.\nAnswer: 0, -0.4, -724.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -13 - (11 - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.193764 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220.23 - 235.8. Let z = -5.57 - h. Sort -2, z, -3\/5 in descending order.\nAnswer: z, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2753 or -2832?\nAnswer: -2753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908586 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 905954486 and 5438?\nAnswer: 5438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144055 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882091 is divided by 1459?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21261202, 85044799, 191350792, 340179181, 531529966, 765403147?\n\"Answer: 21261198*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.44 (b) 0.6 (c) -2\/7 (d) -4\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -9 + 1 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2 + 196\/(-100)). Let i = f - 30. Let k be 1*-1 - (-630)\/i. Round k to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/3))**(3\/7)\/((v\/(((v\/(v\/(((v*v**5)\/v)\/v)))\/v)\/v*v)*v)\/(v\/(v*v**0)*v)) assuming v is positive.\nAnswer: v**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1487, -1488, -1489, -1490?\nAnswer: -1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026456758 to the power of 1\/2, to the nearest integer?\nAnswer: 32038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -314, -5, 0.4, 248, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 10*b**2 - 15*b - 40. Let k be o(-11). Let f be (6 - 1)*(40\/8 - k). Solve -2*s = 2*y - 18, 0 = -5*y + 2*s + f + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/22)*y)\/(y*(y\/y**(-9))\/y))\/((y\/((y**(-1\/21)*y)\/y))\/y*(y**(2\/5)\/y)\/y) assuming y is positive.\nAnswer: y**(-17309\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*g + 2*s + 30, 0 = -g - 4*s - 9. Let c = -4 + g. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.56 - 6.26. Sort 0.2, -26, l in decreasing order.\nAnswer: l, 0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 1157, 1539, 1781, 1877?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 38. Let j be u(13). Let f be j\/(1\/(-2))*(-120)\/(-48). Solve -f*i = -9*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 26*n - 3. Is h(-9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205504 and 144989.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccckcccccccccc. Give prob of picking 1 c and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 53112.\nAnswer: 212448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4299 = 17*h + 491. Which is greater: h or 223?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -26*v - 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87175341*m - 87175200*m - 8601 = 0 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efhh when four letters picked without replacement from {a: 3, e: 3, f: 7, q: 3, h: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) -8.41 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.72 + 191.72. Let l = 190.059 - u. Sort -3, l, 5, 2 in increasing order.\nAnswer: -3, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30909 by -30909.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(288) - (sqrt(288) - (sqrt(288) - (3 + (1 + sqrt(288))**2))) - sqrt(288)) + sqrt(288)) + 2)*-3 + -1.\nAnswer: 36*sqrt(2) + 869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 6*i + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3738 divide 5200014036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.2 and 60.1972.\nAnswer: 58.9972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -1) + 2 + -9. What is the closest to 2\/19 in 0.3, c, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - w**3 - 2 - w**3 as m*w**2 + r*w**3 + t + j*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, 623.\nAnswer: -42, -1, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -0.25. What is the second biggest value in 5, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -7*q**2\/3 - 15810*q + 13552\/3 = 0.\nAnswer: -6776, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 295ac + -2?\nAnswer: 295aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776 = 374*u - 12114 - 22696 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 17 = -5*w - 133 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138737191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/6555 or 0?\nAnswer: -13\/6555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -644 + 636.13. Let h = t - -1.17. Let n = h + 6.70091. What is n rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 38243279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1\/8*p**2 + 71\/4 + 69\/8*p = 0.\nAnswer: -2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f, -2*f = 2*d + 13 + 5. Suppose 6 = -3*n - 3. Let c = -0.06 - -1.06. Put n, c, d in ascending order.\nAnswer: d, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.152 - 0.152. Let h = 5.76 - 0.26. Let f = h - 3.5. Which is the closest to f? (a) s (b) 5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 574.9369 millilitres?\nAnswer: 0.5749369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 16*d**2 + 77*d**2 + 17*d**2 + 44*d**2.\nAnswer: 147*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i**4 - 19*i**4 + 4*i**4)*(1 + 1 + 0) to g*i + j + r*i**4 + f*i**2 + a*i**3 and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -772*z**2 - 2*z + 2. Let p(y) = -386*y**2 - y + 1. Let k(r) = 2*b(r) - 5*p(r). What is the tens digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w + 15233. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4693 and 13091.\nAnswer: 248729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -21, 4.7, 3720\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 9*m + 10. Let p be w(9). Let a be (-3)\/5*4\/p. Let k = -4\/25 + a. Sort -1, k, 1\/7, 1.\nAnswer: -1, k, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 986*i**2 - 46*i - 36. Let a be 299\/(-11) - (-4)\/22. Let c be b(a). What is c rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkknzxzlccckzkz. Give prob of sequence xckk.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 5*a**2 - 12*a - 16. Let h be p(-3). Solve 9*w + h*w + 33 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 5*u + 5. Let q be f(-2). Let h be q\/1*(0 + 4). Let l = 2 + -2.3. Which is the closest to -2? (a) h (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 13*p + 9. Let x(w) = -w**2 - 6*w - 4. Determine 9*x(f) + 4*y(f).\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0277 + 14863.1589903.\nAnswer: 14863.1312903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253326737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -19.6444201441?\nAnswer: -16.6444201441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189\/61 + -16145\/4758. Find the common denominator of g and -59\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -2637?\nAnswer: 17\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -462*k**4 + 7*k**3 + 7*k**2 + 196. Let i(a) = 308*a**4 - 5*a**3 - 5*a**2 - 131. Let x(o) = 7*i(o) + 5*l(o). Find the first derivative of x(u) wrt u.\nAnswer: -616*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, c: 4, e: 1, p: 2}. Give prob of picking 1 e, 1 d, and 2 c.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -161690720 times 1?\nAnswer: -161690720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741489.\nAnswer: 61, 28549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 6, -1, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = s + 2*p - 2992, 0 = -5*s + 5*p + 14975. Suppose -4*o - s = -10*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34844 divided by -18722.\nAnswer: 17422\/9361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggpgktttzk. What is prob of picking 1 t and 1 g?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + 5*y**5 + 2*y**5 + (-20*y - 16*y + 6*y)*(127*y**2 - 127*y**2 + 7 + y - 2*y**4).\nAnswer: 67*y**5 - 30*y**2 - 210*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 9. Let m(k) = -4*k - 4. Let q be m(x). What is the common denominator of 4 and (3081\/(-2))\/13*(-2)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-5))\/(-9)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -8, 4\/5, 9, -2\/11 in decreasing order.\nAnswer: 9, 4\/5, -2\/17, -2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 18*p**2 - 29*p - 51. Let v be b(16). Is v - 200\/(-10)*831\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95\/2304443 or 0?\nAnswer: 95\/2304443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/3 - 1312*u\/3 + 438 = 0. What is u?\nAnswer: -657, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, m: 9}. Give prob of picking 1 m and 3 l.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.05 + -579.95. Let x = -576.8 - i. Which is greater: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 852212 + -439609. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 423, 385, 24, 5 in decreasing order.\nAnswer: 423, 385, 24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 122646.4nm in millimeters?\nAnswer: 0.1226464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 96 + 3 = -5*s, 2*x = -5*s + 99. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -111. What is the remainder when d is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 29 = 4*y, 4*y = y + 2*k - 8. Let j be (y\/3 - -5) + 0 + -3. Let u(a) = -2*a - 2. Let w be u(-2). Solve j*q = -q + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 48\/(-80)*-20. Sort 3, -2, 99, a.\nAnswer: -2, 3, a, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y + 504. Let r be d(56). Solve 3*h = -r*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2861206 is divided by 124400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 57 = 33 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188.2 - -188. What is the nearest to -2 in l, 2, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 9*j + 9. Let m(n) = -n**3 - 11*n**2 + 60*n + 8. Let g be m(-15). What is b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -697\/1816 - -2\/227. Let z = -15\/8 - -21\/8. What is the third smallest value in z, x, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10273 - 92524\/9. Let v = -9620\/11 - -879. What is the common denominator of v and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 16*i + 4*i = -360 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 12:18 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33396 is divided by 229?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let p(d) = 517*d**2 - 886*d**2 - 319*d**2. Give p(c(i)).\nAnswer: -2752*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*p**5 + p**3*z**3 - 4*p**2*z**3 + 27*z**3 wrt p?\nAnswer: 4080*p**2 + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/7 or -4?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - -0.4. Let s be (-12)\/(-10)*20\/(-3). Let g be ((-2)\/5)\/(s\/5). Which is the nearest to g? (a) -0.1 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*t + 109, 0*b + 256 = -5*t + 2*b. Let a = -7 - t. Calculate the remainder when 212 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, j: 4, w: 3, o: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1414 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let c(b) be the second derivative of b**7\/210 + 13*b**4\/12 - 10*b. Let p(r) be the third derivative of c(r). What is y(p(q))?\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-2314))\/(10\/24*864\/480)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14406, 46750, 100656, 176124, 273154?\n\"Answer: 10781*s**2 + s + 3624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-570)\/70 + 13 + 4\/28. Suppose -50 = -5*q - 10. Solve -r - 2*o - q = 0, x*r + 3*o + 3 + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*i + 5 + (1 - 7 + 4)*(-3*i - i + 2*i) + 0 + 0 - i)*(-63 + 1 - 11) in the form w + m*i and give m.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8834593 + -18634593. Round l to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472362 divided by -34.\nAnswer: 13893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 340*t**3 + 2*t**2 - 4 - 344*t**3 + 2*t + 0. Let z be m(-2). Let q be (-191)\/(-6) - 2\/6. Is z >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22607507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/13 (b) 4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1047 * 445.\nAnswer: 465915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 321501.847 + -321484.7951599. Let c = 16.89184 - b. Let w = 0.16 + c. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-16) - (567\/(-168))\/(-27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1064808 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 108, 269, 502, 807?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -17 - (-1 + 11) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -15571?\nAnswer: -7785.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l + 24. Let k(i) = -2*i - 4. Let f be k(-3). Suppose -n - 5*j = 4 + 1, n + 2 = -f*j. Sort l, 2, n in decreasing order.\nAnswer: 2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 38. Let b be (4\/(-8))\/(1\/i). Let a = b - 5. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -78, 0, -1, 75, -2770 in descending order.\nAnswer: 75, 3, 0, -1, -3, -78, -2770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**5 + 6610714*z**4 - 292*z**2 - 2000*z - 15 wrt z?\nAnswer: -300*z**2 + 158657136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7979.7 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l - 24. Let o be 6\/(-9) - l\/(-12). Suppose 62 = 2*r - o*r. What is the common denominator of -31\/9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -9. Let t(r) = r**2 - 9*r + 11. Let h be t(8). Let j = o - h. Calculate the smallest common multiple of j and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.468 (b) -5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -31*w + 86. Let f be j(-23). Suppose -5*z + 536 = -f. List the prime factors of z.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = -4*k + 28, 5*k + 5 = 5*m. Let l(v) = v**2 - 4*v + 1 + 0 - k. Is l(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/8*(-5)\/(-875)*-21?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 45 = 48*f - 43*f, -5*f + 45 = -0*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14960 + 26073. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 187.77?\nAnswer: 3943.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52729?\nAnswer: 67, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Let c(f) = 2 - 18 - i*f + 5*f. Let l be c(14). Let q(t) = -6*t - 3. Determine q(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38469 - -38472. Solve 0 = -3*y + 4*m + 15 + 2, 15 = -a*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 28*n + 91 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1720 and 24175761.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2265 + 0.2265. What is the smallest value in 0.052, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**3*u**3 - 2*o**3*u + 466*o**2*u**2 wrt u?\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 78 = 52. Sort 2, 37, y, -5 in increasing order.\nAnswer: -5, y, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1456 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00063832651 rounded to seven dps?\nAnswer: 0.0006383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 617?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -11 + (-6 - -14) + -31 + 68?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**4 + 89*v**3 - 10*v**2 + 68 wrt v.\nAnswer: 96*v + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09734201 rounded to 4 dps?\nAnswer: 0.0973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) 113 (c) 1\/6 (d) 3\/5 (e) -7 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1997*h - 5. Let k be q(9). Let i be -2 - (-874)\/(-1)*-5. Let r = i - k. What is r rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 + -1. Let h = 16 + -16.4. What is the closest to -1 in f, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2 - 7*a**2 - 14*a**5 + 3*a**2 - 2*a**2 wrt a?\nAnswer: -840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 630, 2445, 5468, 9699?\n\"Answer: 604*o**2 + 3*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-2\/25)*v**(1\/12)*((v*v**(-2\/3))\/v)**(-16) assuming v is positive.\nAnswer: v**(1167\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*s - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.2 + -12.4. Let n = 3 - 2.9. Which is the nearest to n? (a) -2\/17 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 7.9941. Let d = -1130.6631 - -1131. Let f = d + c. What is f rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**6\/600 + i**5\/60 + i**2\/2 - 2*i + 64. Let l(z) be the second derivative of o(z). Factor l(u).\nAnswer: u**2*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -301268?\nAnswer: 301272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*l = 2, -4*c - l - 140 = -187. Calculate the smallest common multiple of c and 355.\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19305 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 63*b - 438. Give w(23).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2953 - q + 2960 + 2*q. Calculate n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -d - 74, 3*d + 258 - 75 = 5*y. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + (sqrt(7) - (sqrt(7) + (sqrt(7) - 6*sqrt(14)\/sqrt(2)) - sqrt(7)))))**2 + sqrt(1575) + (sqrt(1575) - (sqrt(1575) - 4*sqrt(1575)*-2)).\nAnswer: 495*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -1189*w**7\/210 + w**6\/120 - 4151*w**3\/2 + w**2 + 3*w - 1617. Differentiate h(q) with respect to q.\nAnswer: -4756*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 + 79632029*o**2 + 211655647*o wrt o.\nAnswer: -12*o**2 + 159264058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 352632?\nAnswer: 352632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 6. Let s be b(-4). Let l(h) = -h**2 + 13*h - 20. Let j be l(10). Let x(r) = s + 1 - j*r + 4*r + 7*r. Give x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3*q + 16 + 14, 2*p + q - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 933213157 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8))**(-32)*(w*w**(1\/3))**(-1\/37) assuming w is positive.\nAnswer: w**(440\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*d = 19999928, 2*f + 5*d = 7*f - 24999920. Let c = 16541788 - f. Suppose c = j + 1141805. What is j rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggvgvg. Give prob of picking 1 g and 2 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/9 + 14*s**4\/9 - 2018*s**3\/9 - 6134*s**2\/9 + 224*s + 680 = 0. Calculate s.\nAnswer: -34, -3, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 68796321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*x + 10, -3*s = 4*x + 30 - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/4 in -1\/6, -1\/18, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 - 29. Let o(v) = 62*v**2 + 5. Give o(w(i)).\nAnswer: 5022*i**4 - 32364*i**2 + 52147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 125 - 103 = 94. Solve -18 = -2*s + r - 5*r, 0 = 2*s - r + t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 5, n: 3, s: 3, k: 1}. Give prob of sequence qns.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least -1770\/281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1034 = -2*y, 0 = 5*l - 3*l - 3*y - 1033. Suppose 0 = -4*h - 50 + l. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -271 - -270.614. Let x = -0.69 - t. Round x to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1684, 6704, 15080, 26818, 41924?\n\"Answer: v**3 + 1672*v**2 - 3*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3694*f**3 - 63144138 + 63144138.\nAnswer: 3694*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -1) + (-8 - (-12 + 9 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 10:16 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -0.57.\nAnswer: -0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w - 106. Calculate z(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -16 + 15 + -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + -242. Let q(a) be the first derivative of 0*a**4 + 0*a + 4 + 0*a**w - 2*a**2 - 3\/5*a**5. What is the second derivative of q(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -2. Let r = 8 - p. What is the nearest to -1 in r, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from gjrnsjvr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7457 < -7455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 12*c + 26. Let x be i(-16). Does x = -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:08 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.21 (b) -3\/4 (c) 1\/4 (d) 0.2 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 0*a)*(3*a**2 - 3*a**2 + 14*a**2)*(3*a - 4 + 4).\nAnswer: -168*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(3\/(12\/10)))\/((-2070)\/1150)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1661, 3327, 5003, 6689, 8385, 10091?\nAnswer: 11807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((-306)\/(-119))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w - 15. Let m = 17 - 13. Let i be w*(15\/m + -3). Solve -i*n - 25 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 261464*z + 2 + 522948*z - 261467*z.\nAnswer: 17*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -224 - -8cb?\nAnswer: 6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 + 19*i - 5.\nAnswer: 19*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2 + 28. Suppose 0*i = 2*i - 66. Let o = i - v. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 13*m + 2238. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c57 + 10?\nAnswer: -4c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4344*z - 30664. What is b(-7)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1879297 and 69629?\nAnswer: 381497291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)*d**13*(d\/(d**(1\/4)*d))**28)**(2\/35))**28 assuming d is positive.\nAnswer: d**(224\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 3737, 12814, 30545, 59816, 103513, 164522, 245729?\nAnswer: 350020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14*s**3 - 1366*s**2 + 18*s + 5. Let i(c) = -3*c**3 - 341*c**2 + 4*c + 1. Determine -2*g(j) + 9*i(j).\nAnswer: j**3 - 337*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 20*o**2 - 11*o**3 - 6*o**3 + 14*o**3.\nAnswer: -o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + o**2 + 3*o - 3. Let s = -49 - -45. Let k be (23 + 0)\/(3 + s). Let r = k - -25. What is f(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 114162688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -0.4, -1, -2\/35113, 3\/2, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282 smaller than 3203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 16*q**2 - 7*q - 33. Is z(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35961 - -35988. Solve 9*b = l - 90 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**4 + 11*n**2 - 5*n. Let q(i) = -6*i**4 - 6*i**2 + 3*i. Let k = -8 - -13. Let g(b) = k*q(b) + 3*m(b). Find the third derivative of g(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135800 and 1120.\nAnswer: 543200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {z: 2, h: 1, j: 1, b: 4, a: 3, w: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.325 + -1.4\nAnswer: -1.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(55))\/sqrt(11) - (4 + sqrt(5)*-1).\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)\/(v\/(v*(v*v**(-17)*v)\/v))*v**(-3)*(v**(1\/12)*v)\/v assuming v is positive.\nAnswer: v**(-323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11*o**3 + 3*o**2 + 5*o + 2. Let r be z(-2). Does 3 divide r\/210 + 1*(-77)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.777622 rounded to 2 dps?\nAnswer: 35.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**4\/24 + c**3 - 4*c**2. Let i be t(-2). Solve 0 = w + 3, -28 = 4*g + i*w - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**4\/2 - 13*p**3\/6 - p**2 + p. Let f be -18*(7\/(-3) + 2). List the prime factors of x(f).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, -71\/21, -15, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.3, -71\/21, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 3. Suppose 4*l = l + 12. List the prime factors of j(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -910639 greater than or equal to -910651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 255*w**2 + 1. Let o be c(-1). Solve -266*m = -o*m + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 4. Let d be (-8)\/(-36) + (-1)\/(-9). Which is the nearest to d? (a) 0.3 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.1 (c) 4 (d) 5 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * 2.1.\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/3 + 38*b**4\/3 - 142*b**3\/3 - 14*b**2\/3 + 208*b - 168 = 0. What is b?\nAnswer: -2, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 + -118 + (-6)\/(-1) + 0 + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*8*(1 - 2). Suppose -70*n - 32 = -72*n. Calculate the greatest common factor of k and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157300, -157308, -157320, -157336, -157356, -157380, -157408?\nAnswer: -157440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2 + 29*j + 26. Let x(p) = 5*p**2 - 30*p - 25. Let k(v) = -5*w(v) - 4*x(v). Find t, given that k(t) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2*o**5\/35 - 17*o**4\/14 - 160*o**3\/21 - 64*o**2\/7 - 21. Solve a(w) = 0 for w.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqzoooggbzgozo. Give prob of picking 1 q and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*a**2 - 5 + 1 - 133*a**2.\nAnswer: 3*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(180) + -1 - (-4 + (sqrt(180) + -1)**2)))*-2.\nAnswer: -36*sqrt(5) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.1 - 0.1. Let d = 20.1 - k. What is the third biggest value in d, -2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/23))**34*l**(1\/5)\/(l\/((l**(-28)*l)\/l)*l) assuming l is positive.\nAnswer: l**(-2917\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*q = 6, 3*n - 3*q - 70 + 61 = 0. Solve -25 = n*g - 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13771492 and 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 10 = -39*f - 5*v, 0 = -3*v - 9. Solve -5*h + 5 = -f*t, 2*h - 7*h - t = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30924, -125173, -282258, -502179, -784936?\nAnswer: -1130529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 5428528.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d = 766 - 2440 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 + 4*l - 3. Let h be j(-4). Suppose h = 2*m + 19. Let a be 2\/(3 + -1)*143. Calculate the highest common factor of a and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -9871 (b) 5 (c) -2\/9 (d) 0.152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-540)\/520) + 3900\/50\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 14 = 5*a, -5*h + h - 10 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(-40)\/160*200\/(-4750)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o. Let d(c) = -115 + 332 - 117 + 10*c - 100. Give d(u(z)).\nAnswer: 170*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/24)\/((2\/18)\/1). Calculate the remainder when 32 - (-5)\/(20\/a) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 - 5*f + 1. Let j be a(-6). Let c(q) be the third derivative of q**6\/120 + q**5\/10 + q**4\/4 - q**3 + 6121*q**2. What is c(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let o(x) = x**2 + 61*x + 25. What is o(r(h))?\nAnswer: h**2 + 61*h + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 131 = 23*p - 505 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a - 9. Let n be w(-4). Suppose 5*u = 2*g + 23, 0 = 4*u + 2*g + 22 - 26. Sort n, 5, u.\nAnswer: u, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2683*z + 18800. Determine v(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-7))\/(t\/t**(2\/3)))\/(t\/(t\/t**(1\/3))*t**(-2\/17)*t*t))\/((t\/(((t**(-4)*t)\/t)\/t*t)*t)\/t**(-1\/8)*t**(2\/17)*t**(-1\/8)) assuming t is positive.\nAnswer: t**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 27. Let k(x) = 94*x - 375. Determine k(s(p)).\nAnswer: 188*p**2 - 2913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u - 140. Let g be y(11). Find the first derivative of -74*k**3 - k + 29 + 64*k**3 + 58*k**g + 88 wrt k.\nAnswer: 144*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 107*j**2 - 2889*j - 4. Determine y(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i - 4. Let o be s(-4). Suppose b = 2*u - 2, 2*u - 3*b = 6*u - o. Factor -2\/3*n**2 - 2\/3*n**u + 2\/3 + 2\/3*n.\nAnswer: -2*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218296, -218228, -218158, -218086, -218012, -217936?\nAnswer: -217858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r**2 - 16 - 11*r**2 - 8*r + 34*r**2 - 9*r**2 - 5*r**2 = 0. What is r?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 70 = 10. Calculate the remainder when 4138 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - -9. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:18 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2867, -2843, -2781, -2663, -2471, -2187, -1793, -1271?\n\"Answer: 3*q**3 + q**2 - 2871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6*t - 48. Let c = 239 + -337. Let q = c - -138. What is the highest common factor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707557 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n**2 + 2 + 2\/9*n**3 - 2\/3*n. Factor r(c).\nAnswer: 2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/111 + 77\/333. What is the fourth biggest value in 1\/8, 0, l, -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 equal to 1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.138789 centimeters in nanometers?\nAnswer: 41387890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - i - 4 = 0, 0 = -m + 5*m + 2*i + 8. Let x = m + 2. Suppose -x*z + 4*z = 140. Calculate the greatest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - d + 1 + 3 = 0, 2 = m + 3*d. Suppose 3*q - 1788 = -q + m*c, -c = -5*q + 2235. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 n when four letters picked without replacement from {n: 11, w: 1, m: 4, t: 1}?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999 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: Simplify (sqrt(34) - (-2*sqrt(544) - sqrt(544)))\/(sqrt(10)\/(sqrt(5)*1)).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 1\/336*m**7 + 0*m**2 - 5\/96*m**4 + 1\/240*m**6 - 1\/24*m**3 + 0 - 3\/160*m**5 - 10*m. Factor s(x).\nAnswer: x*(x - 2)*(x + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/11*l**3 + 58480\/11*l + 59168\/11 - 686\/11*l**2 = 0.\nAnswer: -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86374 (base 10) to base 4.\nAnswer: 111011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -21\/100, -27, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.429 + -19.629. What is the nearest to j in 6\/11, -0.06, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12 = -b, -2*g + 5*b = 5 + 9. Suppose -14*o + 38 + 242 = 0. Let h(r) = -r**2 + 19*r + 19. Let f be h(o). Put -9, g, -5, f in descending order.\nAnswer: f, g, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 - (-306)\/476?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 21*i - 5*h - 63, -3*i - 4*h = 54. Let w be (-1)\/(1\/(-1)*-1). What is the closest to i in w, 2\/19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1215478 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.89 + 72. Let y = -1 + 1.11. Let s = y - h. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(45) - 6*sqrt(20)\/sqrt(4)).\nAnswer: 12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**2 + q + 24 - 5*q**2 + 8*q**2 + 0*q. Calculate g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduotcd. What is prob of sequence ut?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/7 + 2*i**4\/7 + 24*i**3\/7.\nAnswer: -2*i**3*(i - 4)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -177*l + 9. Let r be d(-4). Suppose 5*b - w = 729, -4*w + r = 5*b - 2*w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344 - -397. Suppose 0*m = -2*m - 2, 3*n + 2*m = 64. Calculate the remainder when f is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - -1) + (-3 - 1) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 1. Let l be u(-12). Suppose 204 = -k + 3*k. Let z = k - l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 7, -3, -320, 0 in ascending order.\nAnswer: -320, -3, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1565478 years in months?\nAnswer: 1.8785736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppuu when four letters picked without replacement from {p: 9, u: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 16*o = 12*o + 28 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 227 = -258. Is 21 a factor of (-3 - c)*(-7)\/(70\/(-75))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzzdzzzddzzz. Give prob of picking 1 d and 3 z.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9771 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + 649*w**4\/8 + 142*w**3 + w**2 - 563. Find the first derivative of d(i) wrt i.\nAnswer: 2*i + 1947","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + c + 0*c. Let o(v) be the third derivative of 7*v**5\/30 + 351*v**2. Give m(o(h)).\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2068, 512, 1, -5 in decreasing order.\nAnswer: 2068, 512, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/5350 and 17\/60.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000064037 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 408 - 404. Which is the third smallest value? (a) -0.2 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 30 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 27 = -29*d. Solve k - d*k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-3)\/(-4)*2\/(-57)). Let q = k + -33. Let t be 3 + (q - (0 + 3)). Solve 22 = t*x + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -1, -2, -4, 453 in ascending order.\nAnswer: -6, -4, -2, -1, 1, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10789 is divided by 2680?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*6\/(-56)*(-2)\/(-6)*-21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6) + (-4 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -5 (c) 0.3 (d) 573 (e) -500\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z + 6. Let n(m) = -7*m + 5. Let v(h) = -6*n(h) + 5*w(h). Let d = 88 + -86. Let q(x) = 10*x**2 + 6*x**2 - 18*x**d. What is q(v(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55801867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, -0.5, -2, -8\/85?\nAnswer: -8\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*s + 10 - 3, -4*t - 3*s = -23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 330.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, -7 in ascending order.\nAnswer: -7, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -664 + 664.000001075. What is n rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -68. Suppose 21*h - 19*h + 13140 = u. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15184 + 270*a**2 + 15186 + 405*a**2 + a - a as o + b*a**2 + q*a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 21. Let h be q(13). What is the derivative of 5*g**4 + h - 14 - 3*g**4 - 3*g**4 wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0401 <= -2\/6733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -264 - -711053?\nAnswer: 710789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.286 - 3807.214. Round i to the nearest ten.\nAnswer: -3820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 21. Let t be k(-4). Solve 3*i + t = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24448, 50017, 75586, 101155, 126724?\n\"Answer: 25569*t - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-22)*(-105)\/3780. Which is smaller: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 9*f**2 - 21*f - 6. Let r be w(11). Sort -3, 6, r in descending order.\nAnswer: 6, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-29519)\/21)\/((30\/(-18))\/5). Is j + 1 + (-8)\/(-6 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7\/425 (b) 5 (c) -0.21 (d) -3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/36 - 29\/(-12)*-2. Let u(n) = -10*n + 5. Let x(s) = 9*s - 4. What is i*x(h) - 4*u(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h**3 + 5*h**2 - 3*h**2 - 25*h**3 to the form i*h**3 + d*h**2 + g + q*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 59764*y - 1792034. Give z(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + (-588)\/(-27). Suppose g = 1 + 1. Suppose -g*k - b = -58, 4*k + b + q - 142 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 220.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692203 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 302034731 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-27))\/((-2)\/(-42)). Let u be (63\/12)\/k*4. Suppose u*c - 5*l = -0*l + 46, 0 = -c + 2*l + 17. What is the lowest common multiple of 11 and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 5*u + 2*u)*(-1 + 3 + 1)*(-2*u + u - u).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**4 - 4*p**2 + 23*p**4 + 3*p**2 + (-2*p**4 + 4*p**4 + 2*p**4)*(-18 + 3 - 6).\nAnswer: -69*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2754 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63588 is divided by 884.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-14) - ((-1096737)\/210 + 4). Let k = -5213 + r. Calculate the common denominator of k and 119\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 3*h. Suppose -8*k - 2*k + 3310 = 0. Let q(t) = -331 - t + k. Determine q(j(i)).\nAnswer: -3*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + k**2)*(4*k - 4*k - 2*k**2) + (3*k**3 + 0*k**3 - 5*k**3)*(-3*k + 1 - 1).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9467, -75912, -256261, -607466, -1186479, -2050252, -3255737, -4859886?\nAnswer: -6919651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(45)*1)\/sqrt(9) + sqrt(5) + (sqrt(75)\/sqrt(5))\/sqrt(3))**2 + (-5 + sqrt(10)\/(1*sqrt(2)*-1)*-1)**2.\nAnswer: -60 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*w, -1 = 5*w + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1030, 3881, 8628, 15271, 23810?\nAnswer: 34245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - -22) + (11 - 40) + -24?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (3 - (1 + -1)). Suppose 5 + f = 4*w. Calculate the remainder when 43 is divided by -1 + w + 70\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 65 - 65 - 11*c. Does 10 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 0.041.\nAnswer: -4.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + -3.4. Let t = 2.2 - 2.29. Let d = 1.09 + t. Which is the third biggest value? (a) d (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 50. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1648973036?\nAnswer: 2, 412243259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 1. Let b(x) be the first derivative of -x**3\/3 + 6*x**2 - 22*x - 33. Let h be b(10). Give y(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/18*((-6)\/3)\/((-80)\/32)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -313.57 + 150.2\nAnswer: -163.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*y, 12*w - 15*y + 14*y = -64 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(((-85)\/30)\/17). Solve -39*r - q*r = -408 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-39)\/(-3 - -4). Suppose w = 4*w - b. What is the remainder when 25 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + y + 20 = 0, -4*n - 2*y = -1 - 7. Suppose 45 = 5*c - 5*w, -n*w - 3 = 9. Calculate the lowest common multiple of 10*(1 + 0 + 0) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4822991 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 302412 divided by -4\nAnswer: -75603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-197)\/4*(-1036)\/37. What is the highest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700)*3 + sqrt(700))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*f + 12, 584*m = 579*m - 2*f - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8722 - 8586 = 17*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 9. Let h = t + 36. Let l = 2 - 0. Solve 6*j = l*j + h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/60*3\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 4. Let j = -7 + m. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*m**3 + 3*m**2 - 18*m - 8 wrt m?\nAnswer: -534*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42439988 to the power of 1\/2, to the nearest integer?\nAnswer: 6515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Let k(v) = 7*v + 2 + v**3 - 3*v**2 - 2*v**2 - v**2. What are the prime factors of k(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2260f (base 16) to base 3.\nAnswer: -21011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23185390 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*u - 5. Let n = -49 - -49. Suppose -5*w - 2*y + 1 + 9 = n, w = -2*y + 2. Sort u, w, 5 in ascending order.\nAnswer: u, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gimzigzigz. Give prob of sequence izz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94699 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 2*s**2 - 4*s**2 + 3*s**2. Let k(c) = 2*c**2 - 8. Let q(b) = 1. Let m(w) = -k(w) - 8*q(w). Determine v(m(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (12\/20)\/(21*10\/2800). Suppose o - 5*z**4 + 25\/4*z**2 + 6*z - 33\/4*z**3 = 0. What is z?\nAnswer: -2, -2\/5, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12428891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 1. Let f(z) = 2*z - 3. Let u be f(1). Let b be 1 - (-3)\/((-6)\/(-4)). Let y be 2*b\/(-6)*u. Let n(j) = -j**2 + 2*j + 2. Give y*n(o) + 2*l(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s**2 - 72*s**3 - 67*s**2 - 14*s**2 - 4*s.\nAnswer: -72*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4643*i**3 - 5595 wrt i.\nAnswer: -13929*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 smaller than 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -38. Suppose -s = -2*d - 3*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439170*t**3 - 220429*t**3 - 218753*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124133 (base 5) in base 9?\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001010011101 (base 2) to base 7.\nAnswer: 606331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:16 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*b + 1. Suppose 3 = r + h, -5 = r - 3*h - b. Suppose 2*g - 261 = -o + r*o, 2*g = 5*o + 265. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674465136 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 divided by -1?\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749 + 8461 = -391*a - 4845 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 834636.\nAnswer: 4173180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + g + 1. Let n be v(-1). Suppose -6 + 9 + 21 = 6*l. Solve 2*o = n*b - 6, l*b - 3 = 2*o - 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 = -34*f - 751 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**1\/(n**(-2\/23)*n*n**0) assuming n is positive.\nAnswer: n**(25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 314879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162553 is divided by 10922?\nAnswer: 9645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.88 - 55.887906. Let y = 0.008 + w. What is y rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 17*y**2 - 55 + 14*y**2 - 40*y**2 + 12*y**2.\nAnswer: 3*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-3\/2)*t)))**(-16) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 4*g**2 - 2*g + 5. Let m(j) = 2*j - 4. Let b be m(4). What is a(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q)*(-5*q**2 - q**2 + 2*q**2 + 0*q**2 - q**2 - 2*q**2 + q - 3*q**2 - q + (-2*q - 3*q + 3*q)*(2*q - 2*q + q) - q**2 + 6*q**2 - 4*q**2).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**23)\/(d*(d*d**(2\/5))\/d))\/((d**4*d)\/d)**(-1\/54) assuming d is positive.\nAnswer: d**(3061\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-126))\/(1\/(-12)))\/(((-54)\/9)\/420).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2\/7*b**4 + 10\/7*b**3 + 10\/7*b**2 - 10\/7*b - 12\/7 = 0?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 2*s**3 + 5*s**2 - s**2 - 2 + 2 - 2*s**3 + (-1 + 3 - 3)*(s**3 - s**3 - s**3) + (386*s + 1244*s + 644*s)*(3*s**2 + 0*s + 0*s).\nAnswer: 6823*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.1 (c) 0.5 (d) 34 (e) 2 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 12:10 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 6. Let d be a(-6). Suppose -2*q + 107 = 5*o + 20, -5*o + 4*q + 111 = d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - 5*c - 4. Let q(z) = z - 1. Let d be q(0). Let a(k) = k**2 - k - 1. Give d*u(j) + 6*a(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Suppose -2*m + 12 - 2 = 0. Suppose 5*h - m - 5 = 0. Calculate the least common multiple of h and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)\/(-1 - 2). Suppose -5*x + x = o. Suppose x*r = 2*r - 12. Solve 2*u - 20 = r*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20145)\/10)\/(3 + 90\/(-24)).\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/24 - q**2. Suppose 2*p = -2*d + 8, 5*p - d - 9 = 11. Let n(m) = 3*m - 1. What is p*s(i) + n(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15118681 and 1268.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/237928 and 15\/237928.\nAnswer: 237928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 + 3 - 3 + 3*f**2 to l*f + r + x*f**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -127*d**3 - d**2 + 1. Suppose 0*k + 5*k = 10. Let g = k + -3. Is j(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j - 4. Let m(l) = -l**2 + 14*l + 17. Let b be 4\/(-2)*(-5)\/(-2). Let r(p) = -p**2 + 21*p + 25. Let q(x) = b*r(x) + 7*m(x). Calculate q(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000110011000100101101100 - -1?\nAnswer: -111000110011000100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -6)*(-6)\/(-34). Suppose 0 = 219*f - 180*f. Factor f + 2\/17*t**2 - z*t.\nAnswer: 2*t*(t - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -50*n**5\/3 + 310*n**4\/3 - 238*n**3\/3 - 958*n**2\/3 + 96*n + 216 = 0.\nAnswer: -1, 1, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93530729 or 93530736?\nAnswer: 93530729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (58\/(-1))\/(-2*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58722 + 58722 - 461*u in the form z + j*u and give j.\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19315313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 19. What is q(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*r - 2*l, -4*l + l - 15 = -r. Let y be (380 + -402)\/((-1 - 1) + 0). Suppose -y*w = -r*w - 330. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5625844 and 2812922?\nAnswer: 5625844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -10, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 486926675 divided by -29201\nAnswer: -16675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, -5, -26, 74 in ascending order.\nAnswer: -26, -5, -4, 0, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - 10*w)*(-572*w + 602*w - 671*w - 2393*w) as u*w**2 + f*w + h and give u.\nAnswer: 30340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/14714 and 79\/140?\nAnswer: 147140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*i + 837 wrt i?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12)*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmumrrmruuruum. What is prob of picking 2 r?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 9841.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 213\/27 + 320\/(-40)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 247694, 495256, 742818?\n\"Answer: 247562*s + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2 - 5. Let f = g + 11. What is the lowest common multiple of 4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b**2 + 3*b**2 - 2*b - 12*b**2 - 1. Suppose 5*q + 5*u - 60 = 0, -3*u = 2*u - 15. Suppose -4*x = -5*p - q, -3*p + 2*x + 6 - 11 = 0. Calculate f(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 11*w**3\/6 - 12*w**2 - 29*w. Let u be l(3). What is the greatest common factor of u and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -253, -565, -1001, -1561, -2245?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2365263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g + 16. Let j be o(10). Let s = j + 168. Suppose 3*b = 3*n + 123, -2*n = 2*b + 2*n - s. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -12*z + 9. Let w be v(-6). Suppose 4*g + 1 = w. Calculate the remainder when 98 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-1)\/44)\/(((-3)\/(-16))\/((-345)\/230))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1109.15664 + -301.22828. Let o = z - 806.13. Let s = o - 1.8. Round s to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -15) + -21 - (-3 - (-4 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9042 - -24?\nAnswer: 9066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g. Let x(b) be the third derivative of 1\/5*b**5 + 173*b**2 + 0*b**4 + 0*b**3 + 0*b + 0. Determine x(i(v)).\nAnswer: 588*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 5. Suppose 4*z = -5*z + 36. Let i(d) = d**2 + 11*d + 14. Give z*i(v) - 11*m(v).\nAnswer: 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 180501923 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 113*i**3 - 2*i. Let j(m) = -6216*m**3 + 111*m. Give 333*f(w) + 6*j(w).\nAnswer: 333*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-1831.\nAnswer: 1281.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41059.32 take away 0.33?\nAnswer: -41059.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 853765\/12375 - (-46)\/5175?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11058020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - 7 - -7) + 23\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14675*q + 14*q**3 - 10*q**3 - 15*q**3 - 7348*q - 7327*q.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*p + 267 + 41, 0 = 3*k - 4*p - 445. Let n = k + 273. List the prime factors of n.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5796)\/4186)\/(3\/(-26))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t\/t**(-2\/11))))\/t)\/((t\/t**(2\/29))\/t*t))\/(t\/((t\/t**(-1\/2))\/t))**(-5\/12) assuming t is positive.\nAnswer: t**(3515\/7656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -395, -783, -1171, -1559, -1947?\n\"Answer: -388*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865413.\nAnswer: 3, 96157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1289224 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-1 + ((sqrt(150)*2)\/sqrt(3))**2 - ((-5 + sqrt(24)\/sqrt(3))*5)**2)).\nAnswer: -1875 + 1500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c\/(c*c**(2\/9)\/c)))))\/c*c*c)**43\/(c**(4\/13)\/(c\/((c\/(c**28\/c))\/c))) assuming c is positive.\nAnswer: c**(9389\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuonouwnotuuuotn. What is prob of sequence tnwn?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5 - 3. Suppose a - 3 = q. Suppose -109 = a*l - 279. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*y**2 - 59*a**3*y + 24*a**3 + 1752*y**3 wrt y?\nAnswer: -2*a**3 + 10512*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Suppose -l*k + 28 = 5*k. Let y(h) = -h**3 - h + 3. Let t be y(0). Solve 16 = 2*f + k*s, 2*f - 12 = -2*f - t*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.4, -0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*(s**(-1\/4)\/s)\/s)\/(s\/(s*s**(-2\/3)*s)*s)**(-1\/23))\/(s\/(s\/s**(2\/3))*s**1\/s*s**(-1)\/(s\/s**(-4)*s)) assuming s is positive.\nAnswer: s**(1411\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 116189938.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 + 99 + 5 - 59*l.\nAnswer: -59*l + 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 14) to base 4.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3) - 6\/(-9). Suppose 4*b - 5*b = -20. Suppose -4*q = 8 - b. Solve 3 = -v*r - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2 - 5*m + 1 + 8 - m**2. Let c be d(-6). Suppose 3*r + 6 - 31 = -c*z, 0 = 2*r + 3*z - 16. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368826654.\nAnswer: 2, 3, 7, 31, 283277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:39 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 390\/(-546)*4\/(-10). Let z be (-2 - -5) + (-52)\/8. Put 5, z, g, 1 in descending order.\nAnswer: 5, 1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/2 + 51105235*q\/2 - 76657875.\nAnswer: 5*(q - 3)*(q + 10221050)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 183, -44, -54, 2, -3 in descending order.\nAnswer: 183, 2, 0, -3, -44, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:49 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -75, -147, -259, -417, -627?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.65599225 + -0.656. What is v rounded to 7 decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.071.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022 - -20331?\nAnswer: 22013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/8*(-738)\/1271.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 3. Let z be (5\/10)\/(2\/20). Suppose 0 = 4*a - 17 + z. Suppose -a*b + 2*n = -b + 12, 0 = b + 2*n - 6. What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.051 - 0.421. Which is the third smallest value? (a) j (b) 1\/5 (c) 1 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 - 10*q**2 - 2*q + 10 = 0. What is q?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/3*(-6)\/(-3)*-24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -25*b**2. Let h(x) = -271*x**2. Calculate t(h(p)).\nAnswer: -1836025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*o - 4024 = -687. Calculate the remainder when 984 is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-544)\/(-10))\/(3*(-5)\/(-75)). Calculate the greatest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 - -0.2. Let n = 0.458 - 0.058. Sort s, 0.02, n in descending order.\nAnswer: s, n, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - (109 - 91)) + 42?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 229. Let w(y) = -y**2 - y + 4. Calculate r(h) - 2*w(h).\nAnswer: 2*h**2 + 5*h + 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 7*m**2 + 16*m + 4. Let s be n(5). Let x = s - -880. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5858118*t + 5858113. Give o(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 17*g + 70 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*sqrt(1700)*-1.\nAnswer: -60*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/22 and ((-6)\/(-160))\/((-411)\/(-131) + -3).\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4706403?\nAnswer: 3, 13, 120677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 5*m - 3*m + 0*m + m + m + (-2*m - 2*m + 6*m)*(4 - 2 + 0) + m - m + 2*m - 5*m + 2*m + 4*m + 2*m + 2*m - 7*m + (-7 + 2 - 1)*(2 - 2 + 3*m).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h + 13. Let u be b(7). Suppose 5*i + 200 = -5*f, 283 = -5*f + 2*i + u. Let k = f - -68. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803, -796, -789, -782?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6610 and 860?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17230460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 3*v**2 - 6*v - 4. Let o be q(-5). Let s = -16 - o. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 4, 3, -72222 in decreasing order.\nAnswer: 4, 3, -2, -7, -72222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/15 - (-1 - 190\/(-75))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and -0.00216177?\nAnswer: 0.15997098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-9))\/(6\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 42*a - 80. Let v be o(36). Let z = -129 + v. Let y(t) = -7*t - 1. Let w(c) = 10*c + 1. Determine z*y(x) + 5*w(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 533 + -529. Let r(k) be the second derivative of -1\/2*k**3 + 0*k**2 - 3\/40*k**5 + 0 + 7*k + 3\/8*k**l. Solve r(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514351 (base 6) in base 15?\nAnswer: 1b05a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8539 is divided by 74.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 42\/169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 8*f**2 - 23*f - 29. What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 58444.945 to the nearest 10.\nAnswer: 58440","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/t**(-3)*(t**0)**(-1\/8) assuming t is positive.\nAnswer: t**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1435021)\/19061 + 2\/7.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2648764 and -704?\nAnswer: 2648060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 - 2*v**3 + 3*v**2\/2 - v - 6. Let z be d(4). Let y = z + 22. Let n(i) = 10*i**2 - i + 1. Determine n(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -361\/10 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2741*x*z**4 + 7*x*z**2 + 2*x - 20*z**6 + 24*z**2 - 35*z wrt z?\nAnswer: 65784*x*z - 2400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - b - 4339, -2*b + 7932 = 5*z - 2929. List the prime factors of z.\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 28. Suppose -7*s = 4*s - d*s. Solve 3*a = 3*m + 8*a, 2*m - 2*a = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-6))\/(-5)*(-16852)\/1149.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o - 169 + 10*o + 83 + 84. Let i(c) = 91*c + 9. Calculate -2*i(l) - 9*y(l).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -1. Let k be 7\/(-2 + j) - -1. What is the third derivative of k*x**3 + 2*x**2 - 3*x**3 + 0*x**3 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 1486 - 1516 + 2957 + 4*p**2 as c*p**2 + d + r*p and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + -11 + 4 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11781)\/(-153)*76\/(-133)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2044, 2091, 2162, 2263, 2400, 2579, 2806, 3087?\nAnswer: 3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/35 + 16\/(-40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 5, 2\/5, 7\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, 28, 67, 106?\n\"Answer: 39*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 30 - 30)*(2*w**3 - 2 - 2*w**3 + 2*w**4).\nAnswer: -12*w**5 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2 - 0, z - 11 = -5*x. Which is the fourth smallest value? (a) z (b) 2 (c) -3 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*m*s - 20*g**2 + 84*g*m - 7*g*s + 1563*m*s + 2*m + 6 wrt s.\nAnswer: g**2*m - 7*g + 1563*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 435 - 434.9719. Let i = c - 7.2081. Round i to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 times 480331?\nAnswer: -84538256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-22) - 11\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9119 to the nearest 100.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 2*h - 3. Let c be 2\/((14\/5)\/(-7)). Let t be y(c). Is 3 a factor of (34\/(-6))\/((-4)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3437820 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: Express -29*t + t**4 + t**2 - 5*t**3 + 29*t - 3 in the form b + x*t**2 + o*t + y*t**3 + p*t**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v**3 + 0*v - 10*v**2 - 1\/12*v**4 + 0. Let s(i) = -4*i**2 - 4*i**2 + 6*i**2. Give s(b(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 4*h**2 - h**3 + 13 - 15 + 0*h**2. Let f be k(2). Suppose -1 = 3*v + f, -4*v = -5*a + 169. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = 55*c - 70. Suppose 21 = -5*v - 5*l + 26, -c*v - 4*l + 8 = 0. Solve 5*q + 23 = -v*r, 5*q = -4*r + 3*q - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlm when three letters picked without replacement from {a: 1, z: 7, y: 3, m: 2, i: 4, l: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r + 52*r = 64. Let v be (-6 - (-152)\/r)*(-24)\/(-14). What is the highest common factor of v and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*i**4 + 5\/4*i + 0 + 7\/4*i**3 + 11\/4*i**2 = 0. Calculate i.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b - 145. Give m(20).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 21577556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42908?\nAnswer: 2, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*m**2 - 3*m**5 + 1057*m**6 + 3*m**5 + 20*m**3 - 1054*m**6 wrt m.\nAnswer: 360*m**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20432589 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03437 and -5?\nAnswer: -0.17185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 454300884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -6, 13 in descending order.\nAnswer: 13, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k - 1. Let a(s) = 3 + 4*s**2 + 0 + 24351*s - 24350*s - 2. Determine -a(o) + x(o).\nAnswer: -3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:02 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(sqrt(243)*2 + sqrt(243) + 2) + 1.\nAnswer: 8 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -1.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 16*d**2 + 107*d - 114. Give t(-8).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32977 - -32968. Let r = 0.44 - 0.04. What is the nearest to 0.1 in r, p, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 21*r. Let k(q) = -15*q. Let j(c) = 7*c. Let o(z) = 5*j(z) + 2*k(z). Give h(o(g)).\nAnswer: 105*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 + 15 = 0. Let x = i + 13. What is the units digit of x + -4 + 3 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 47*f**2 - 116*f + 1161. Give x(45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/(-21))\/((8\/(-104))\/(371\/689)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 20. Is 2 a factor of y\/(-3)*18\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*i - 71*i - i + 41*i as d*i + f and give d.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 50. Let n = -14 + q. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dljli. What is prob of picking 2 l and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/2)*u)**9\/(u**(1\/14)*u**(-3\/5))*(u\/(u*u\/(u**(2\/7)\/u*u))*u*u**(-3))**(-14\/9) assuming u is positive.\nAnswer: u**(5749\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03296 less than 448.4582?\nAnswer: 448.42524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -31 (b) -3 (c) -2\/3 (d) -0.0295\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(36)\/(sqrt(72)\/sqrt(6)) + sqrt(15)\/(sqrt(5)*3))**2.\nAnswer: -76\/3 + 32*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2668652 and 5.\nAnswer: 1.334326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = -a, 0*a = 3*z - 4*a - 6. What is the common denominator of -77\/8 and ((-59)\/z)\/(5 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**3 + 2*b**2 + 7*b - 2. Let l(p) = -85*p**3 + 25*p**2 + 85*p - 25. Let c(q) = -2*l(q) + 25*x(q). Find a such that c(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 7*k + 15*k)*(3*k - 3*k + 6*k)*(-k**2 + k**2 - 2*k**2).\nAnswer: -252*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:58 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -4 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 88, 149, 178, 169, 116?\n\"Answer: -g**3 - 10*g**2 + 98*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 + 8)*(-2*q + 0 + 0)*(-2*q - 2*q**2 + 2*q) in the form p*q**2 + s*q + o + l*q**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -145\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -512 - 531?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364961589 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/20385508 and 61\/31086.\nAnswer: 183469572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49.05895 times -1.22\nAnswer: 59.851919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -447, -1742, -3887, -6870, -10679, -15302?\n\"Answer: 2*f**3 - 437*f**2 + 2*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 28\/5 + (-6)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 5*w. Suppose 0 = 2*h - 1 + 3. Let x(t) = t. Determine h*f(r) + 5*x(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -547, 0.2, -3\/7 in increasing order.\nAnswer: -547, -3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**2\/11 - 12156*m + 67727154.\nAnswer: 6*(m - 11143)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 978*z**6 + 10*z - 27*z + 59*z**3 + 9*z + 77*z**2 - 983*z**6 - 312*z**3 wrt z?\nAnswer: -600*z**3 - 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 19 + 3. Let n = -89 - -78. Is f smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 202273, 404225, 606177, 808129, 1010081?\n\"Answer: 201952*y + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 3 - 1 - 1 + 6*v - 13*v in the form y*v + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-175)\/(-30) - (-2)\/12. Let a(k) = -14*k - 17. Let s(w) = -7*w - 9. Let y(b) = x*a(b) - 11*s(b). Let t(u) = 8*u + 4. Calculate 5*t(c) + 6*y(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007844?\nAnswer: 2, 3, 83987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05226515 to 4 decimal places.\nAnswer: 0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 1221?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 44 + 8 + (-1 + 6 - 3)*(-1 - 2 + 1))*(-539 - 10*c**2 + 539).\nAnswer: 210*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.07 + 36.33. Let q = 43.4 - u. Let l = 3.2 - 3. Sort -4, q, 3, l.\nAnswer: -4, l, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.62923 months in millennia?\nAnswer: 0.0194691025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, c: 1, t: 2}. Give prob of sequence zzc.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 2*c - 10, 4*d - 32 = -4*c. Let q be (-5 - -2)*4\/6. Let k = c + q. Solve 5*n - 16 = n, 30 = 5*m + k*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3620)\/16047 - (-30)\/135. Let y = g - -148025\/10698. Calculate the common denominator of (-28)\/(-162)*(-3)\/(-2) and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -36*w**2 - 1325*w + 287. Calculate z(-37).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2.4 (b) 18 (c) -0.2 (d) -2\/3 (e) -2584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -1 + -2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*i + h + 3*h, 0 = 4*i - h + 12. Let p be 1 + -10*(-1 - 1). Let y be 19322\/p - i\/(-42). What is y rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 4*a + 8, -5*a + a - 4*v + 4 = 0. Solve 4*u - a*o + 45 = -0*o, 3*u + 3*o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8341 divided by -19?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-1)*49\/((-15680)\/192).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4469859 (base 10) in base 14?\nAnswer: -844d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 2*c**2 - 8*c + 5. Let j be x(-4). Suppose -4*a - m + 6 = -4*m, 0 = 3*a + 4*m + 8. Let z = 4.01 - 0.01. Sort j, a, z, -3\/2.\nAnswer: -3\/2, a, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**5 + 670*p**4 + 16175*p**3 + 15500*p**2 = 0.\nAnswer: -20, -1, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3140 - 46?\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 6. Let w(n) be the third derivative of n**5\/60 - n**3\/6 + 2834*n**2. Give -g(a) - 3*w(a).\nAnswer: -a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goooommmmobmoobbbb. What is prob of picking 1 b, 1 o, and 1 m?\nAnswer: 175\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {b: 3, v: 1, s: 3, o: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -293793.\nAnswer: -128\/293793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3120)\/(21\/560000*-2). What is m rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:15 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 255 - 55. Let f be ((-3)\/5)\/((-10)\/q). Let o(z) = 2*z - 3. Calculate o(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112 - 5168 + 4056 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 20. Suppose 5 = 5*w + 3*x, b*x = 4*x. Let y be (w + 4)*2\/5. Solve 3*o - y = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*h - 5*s + 247, -4*h = -4*s - 236. Let j = 1 - 0. Let q be (j\/3)\/(1\/33). Calculate the greatest common factor of h and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32378893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9436746mg?\nAnswer: 943.6746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-9))\/(-4))\/(10\/(-75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001117342 rounded to five decimal places?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257 + 2*t - 602 - 397*t**2 - 2*t + 346 to d + b*t + r*t**2 and give r.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**4\/2 - 4511*w**3\/2 + 2751*w**2 - 500*w = 0. Calculate w.\nAnswer: 0, 2\/9, 1, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8338396783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 - 3*t + 44*t**2 + 3*t + 1 - 7 to the form g*t**2 + w + d*t and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23796303*p**3*s + 4*p**2*s + 41*p**2 - 2425*p*s + 2*p - 2 wrt p.\nAnswer: 142777818*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 154?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(252*u - 277*u - 15 + 178*u) to the form a + r*u and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.083 + 0.083. Let d = -60.1 - z. Let k be (4 + -2)*3\/6. Which is the closest to -2\/7? (a) 2 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 3075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j - 12*j**3 + 17*j + (1 + j + 1 + 0)*(-4*j**2 + 2*j**2 + 4*j**2) to u*j**3 + p*j**2 + d + l*j and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = -6, m + 26 = -5*j. Calculate the lowest common multiple of 2 and -2*-3*(-3)\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from hmwhwmwymwwwwm.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**4 + 1\/60*j**5 + 0*j + 0*j**3 + 0 - 6*j**2. Let o(x) = -3*x + 2*x + 0*x + 4*x. Calculate d(o(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 74*d**2 - 21*d**2 + 12*d**2 - 4 as w*d**2 + l*d + f and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(72)\/(sqrt(8)*-4)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 532. Suppose 0 = -12*x + 622 + b. What is the least common multiple of 3 and x?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2820557264 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.386 and 124 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2066387 + 104*k + 2066387.\nAnswer: 104*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*u**3 + 51*f*u**2 - 13*f*u - 2*f + 18*u**2 - 65*u wrt u?\nAnswer: 12*f*u + 102*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26.999 * -666\nAnswer: -17981.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-5)\/50)\/(12\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 11. Let g be m(-8). Let z(v) = 6*v**3 - g*v - v + v**2 + 4*v - 1. What is z(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*f = -1896, -i + 5*f - 2528 = -5*i. Let j = i - -499. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6515\/3 - 2171. Which is the nearest to -0.05? (a) l (b) -5 (c) -1\/9 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a**2 - 133*a - 371*a**2 + 1 - 1.\nAnswer: -316*a**2 - 133*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(10)\/sqrt(2))**2 + (sqrt(105)\/sqrt(3) - sqrt(35))\/sqrt(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6442883 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14701 and 41297.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}