diff --git "a/data/dm_maths/full_data/1988_11255.jsonl" "b/data/dm_maths/full_data/1988_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1988_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the next term in -473, -477, -481?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 15.\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 7. What is the remainder when 89 is divided by (46\/(-4))\/(w\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppaiipapipxpdpppia. What is prob of picking 3 i?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7.5. What is the smallest value in -1\/3, d, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 + 16 - -1) + -72)*2\/(-42).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -146, -211, -278?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*n - 41, -23*s + 26*s = 4*n - 5. Which is the biggest value? (a) 0 (b) 1 (c) s (d) -261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 6, q: 1, l: 4, d: 4, j: 2}. What is prob of sequence qkld?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v + 90. Let w(x) = 9. Let q(f) = -10*w(f) + y(f). Let k(h) = 21*h. Determine 6*k(j) + 14*q(j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 4*t**2 - t - 2. Suppose -3*g - 16 = g. Let k be l(g). Let p be ((-5)\/k)\/((-1)\/2). Solve p*z = -10, -2*z = 5*f + 3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {j: 3, d: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*l**2 - 97*l**3 + 20*l**3 + 5*l**2.\nAnswer: -77*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1898 + 2793. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/((-11)\/(77\/(-28)))*-6. Which is the nearest to 0.4? (a) 4 (b) f (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3. Let b(m) be the first derivative of -m**4\/2 - m**3\/3 - m - 79. Suppose 2*j = -4*g - 10, -g - g - 3*j = 11. What is g*b(d) + z(d)?\nAnswer: d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 2 + (-385)\/(-14))*(-10)\/5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224441 (base 6) in base 7?\nAnswer: 2101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3684411 and -4.\nAnswer: -14737644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/5 - 74818*c\/5 + 13995096\/5 = 0.\nAnswer: 188, 37221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)\/u)\/u**(-1)*(u**(2\/11)*u)**(-6\/7) assuming u is positive.\nAnswer: u**(-1002\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 1.916 (c) -17 (d) 2 (e) 1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 + 1\/(-1)*1). Let s = z - -13. Find the second derivative of w + 0*w - s*w - 9*w**3 wrt w.\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {k: 2, c: 1, m: 1, i: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2920, 2905, 2888, 2869?\nAnswer: 2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*s + 8 - 665. Let b(d) = 17*d - 10. Let o be b(7). Suppose o - s = u. Calculate the remainder when u is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szh when three letters picked without replacement from hzshhzshzhzhhzfsssf?\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-57 + 105 - (-6 - -2)) - 1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8908)\/1224 + 44\/8\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96134027*a**5 + 6*a**4 + 23897542*a wrt a.\nAnswer: 1922680540*a**3 + 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -15. Suppose 0 = -5*j, j = q - 4*j + 78. Let g = q - -83. Are g and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 24*w + 13. Give k(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 10*n + 11. Let x be h(9). Suppose 2*y = -x*y + 12. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(20)\/(sqrt(90) + sqrt(10)) + 5 + sqrt(22)\/(-1*sqrt(11)) - (-5 + (-4 + -1*sqrt(288) - sqrt(288)) + -2))**2.\nAnswer: 728*sqrt(2) + 10329\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21 (b) -3 (c) 217 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 - 528205*l**3 + 6339000*l**2 - 19017540*l = 0.\nAnswer: -105653, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 + 658\/5. Let h = r + 26\/15. Put -0.1, h, -9\/2 in descending order.\nAnswer: h, -0.1, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3050*s**3*v**3 - 2*s**3*v + 3*s**3 - 199*s*v**2 - 5*s*v - 47*v**3 wrt s?\nAnswer: 18300*s*v**3 - 12*s*v + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 1) + 14\/2. Solve t - 2*j - 3*j - 6 = f, -j + 18 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968.2916mg to kilograms.\nAnswer: 0.0009682916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 46*u - 432. Let m be q(-13). Let s be (-2 + 2)*5\/10. Suppose 3*b - 3 - 3 = s. Put 0, b, -4, m in ascending order.\nAnswer: -4, m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*25\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11281\/200 - 932\/25. Let q(o) = 20*o**3 - 2*o**2 + 2*o - 1. Let p be q(1). Let u = r - p. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*i - 0. Let a = 45 - i. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -11 - 34. Let n = g + 8. Is 3 - (n + -2 + -205) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5, i: 1, s: 3, u: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-30))\/((-630)\/4200).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 187460.154 minutes?\nAnswer: 18.5972375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3. Let m = -275 - -126. Let n = m + 145. Which is the third biggest value? (a) n (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/157 smaller than -1328940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = -2*v + 36, -37 = -4*v - 3*u. Let l(k) = k**3 - 6*k**2 - 6*k + 8. Let q be l(v). Calculate the highest common divisor of 60 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c)\/(c**7*c) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052663 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*r + 4*y, 5*r - 5*y + 0*y = 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383 + -157. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**2 - 49 - 5*q**3 - 2*q + q**3 + q**2 - 12*q**2 - 4 as j + o*q + b*q**2 + x*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1522 + 1534. What is the remainder when 32 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 90 = -5*w, -238*w = -240*w - 2*i + 28 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3528.999989462 - -3529. What is o rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/2 + 5472770*w**2 + 65673375*w\/2 + 49255065.\nAnswer: -5*(w - 2189114)*(w + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22086696 is divided by 3681116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*b*w**2 + 59*b*w + 21*w**2 - 33*w + 3 wrt b.\nAnswer: 132*w**2 + 59*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 t when four letters picked without replacement from coyhtyqcoohoto.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/321 or 38\/29?\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:10 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 89691, 14 in descending order.\nAnswer: 89691, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 178\/3. Let n = d + -38. Calculate the lowest common multiple of 18 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 255 = 0. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 + 7*i + 5. Let k(y) = -y**3 + 13*y**2 - 9*y - 15. Let r be k(12). Suppose -2*m - 18 = 2*f, 2*f - 7*f + m = r. Determine v(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*l - 4, 4*l - 4*j = -29 + 45 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -889 + 895. Solve -n*g = 3*g - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4\/((-24)\/9). Suppose -m = g*o - 242, 2*o = 3*m + o - 756. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 7}. What is prob of sequence hhh?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -842 + -3?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -51*c - 1463. Let n(m) = -2*m. What is n(g(q))?\nAnswer: 102*q + 2926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -50422240?\nAnswer: -50422225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (134 - 32) - 102?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3\/8, 1\/1201?\nAnswer: 1\/1201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 36058814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3 - 1420*d**2 + 4312*d + 5728 = 0.\nAnswer: -358, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s + 65. Let r be x(0). What is the units digit of (r\/(-10) - -6) + 473\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1012\/(-242) + 4\/22. Let v(x) = -4*x**3 + 1 - 4 - x - 3*x**2 + 1. Does 23 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 972768.\nAnswer: 49\/486384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16 - -27) + -20 - (-6 + 6)) + (-9 - 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/684840 and 95\/64.\nAnswer: 5478720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/945 - 11*o**6\/270 - 23*o**5\/270 + 916*o**2. Determine k so that n(k) = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1093*v**2 - 47*v + 47*v + 6230*v**2 to the form u*v**2 + a + p*v and give u.\nAnswer: 5137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 + y + 1. Let t(j) = -4*j - 1. Let u be t(-1). Suppose u*o + 10 = -4*c - 9, 3*o + 11 = 4*c. Determine n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 5*j**2 - 6*j - 2. Let w be f(3). Let v be w - (3 + -3)\/6. Sort 4, 2, v, -27 in descending order.\nAnswer: 4, 2, v, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12736985.12 + 0.04.\nAnswer: 12736985.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1418\/8 - 20\/16. Suppose 4*t - 16 = 3*t. What is the greatest common factor of m and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 + -164. Let h = 586 + b. List the prime factors of h.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**5 - 2*d**5 + 3*d**5)*(-1 - 1 - 2) + 15*d**5 - 27*d**3 + 27*d**3.\nAnswer: 23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-33)*2\/(-4). Let h = 11456 + -12979.2. Let f = h + 1523. Which is the third biggest value? (a) f (b) r (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71685868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2137*l + 89780. What is t(42)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 65*q**3 - 11*q**2 + 101*q - 92. Determine f(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 270.75833728014.\nAnswer: 265.75833728014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 4*r - 6. Let s(z) = -3*z**2 - 6*z + 9. Let d(b) = 8*g(b) + 5*s(b). Let i be d(-3). Let q = 2 + i. Is -0.1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(9\/5)*r))\/r*r*r*r\/((r*(r**(6\/13)*r)\/r*r)\/r*r)*r assuming r is positive.\nAnswer: r**(152\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1893511*c**3*x**2 - c**3 + 9*c**2*x**2 - 295952*c**2 + c - 22 with respect to x.\nAnswer: 3787022*c**3*x + 18*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x + 3. Let n(m) = -m**2 - 2*m - 4. Let v(p) = -6*n(p) - 7*q(p). Factor v(s).\nAnswer: -(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 5. Let s be v(4). Let q(h) be the second derivative of -179*h**3\/6 - h**2\/2 + 43*h - 2. Is q(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/342 and 79\/285?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 6, j: 2, i: 3}. What is prob of sequence iiij?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383779725 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzrrzzzzr. What is prob of picking 1 r and 2 z?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 + 187. Suppose -4*b + 1 = -5*z - 1, 0 = -5*b + w*z + 5. Solve -2*s = -2, b*f = -2*f + 5*s - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r + 0*r + 2*r + r - 5*r + (0 - 1 + 2)*(r - r + r))*((3 - 2 + 2)*(0 - 3 + 1) + (0 - 1 + 3)*((-2 + 1 - 9)*(2 - 2 - 2) + 0 - 2 + 1)).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 + 93*f**2 + 79.\nAnswer: -6*f**2 + 186*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.1, -4, 2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 2 + 21*q - 44*q**4 + 41*q**4 - 6655*q**2 + 6653*q**2 as y*q**2 + h*q + m + u*q**4 + x*q**3 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8693, 17426, 26155, 34880?\n\"Answer: -2*h**2 + 8739*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 245.139.\nAnswer: 246.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 5 + -17 + (173 - 125)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 3, -7, -23?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/11 - 29*a**3 - 1288*a**2\/11 - 1292*a\/11 = 0.\nAnswer: -2, 0, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 5*u**4 + 0*u**4)*(-2*u + 2*u + u).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 1, 1, 3, 7, 13, 21?\n\"Answer: y**2 - 5*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -832, -148, 538, 1226, 1916?\nAnswer: 2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3 = -3*t, -4*v - 1189 = -t - 1194 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -3*l. Let y = 2.2 - 2. Let f = 5\/7 - 6\/7. What is the third biggest value in l, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/152 and 79\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*b. Let i(r) = 3*r**b - 5*r**2 + r**2. Let f(l) = -5*l**2. Calculate f(i(k)).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4)*u*u**(-1\/8))\/(u*u**(-1\/4))**(2\/15) assuming u is positive.\nAnswer: u**(-89\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2055879 is divided by 2055863.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11 - 15 = 0. Suppose 5*i - 25 = 0, -b*d + 15 + 82 = i. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2364\/7 = -337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383823.5 centuries to decades.\nAnswer: 3838235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 30*k**3 + 6 + 29*k**3 + (k - 2*k + 2*k)*(0*k**2 + 0*k**2 + 5*k**2) + k**3 - 6*k**3 - 5*k**3 + (2*k**2 + 0*k**2 - k**2)*(k - k - k).\nAnswer: -7*k**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.4, 2, 0.1, -1490, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2d484 (base 16) to base 14\nAnswer: 4b844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 1. Let t be 0\/(7 + -3 - 3). Suppose t = -3*a + a - 2. Let o(x) = -2*x**2 + 2*x - 12. Let u(k) = a*o(k) + 8*i(k). Let u(y) = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evb when three letters picked without replacement from yejvjvyjbvyvby.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 225 + 203 - 473. Let t(s) = 5*s**2 - 3*s - 4. Let o(x) = 10*x**2 - 5*x - 9. Determine z*o(n) + 5*t(n).\nAnswer: -5*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h - 579. Let x be l(-34). Let q = 0.05 - 3.55. Let v = q + 1.5. Which is the fourth smallest value? (a) x (b) -2\/7 (c) -4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 14*c - 74. Let s be o(5). Suppose -3*r + 440 = 4*j, -3*r - s = -5*j + 404. Calculate the smallest common multiple of 1 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5\/2 + 108*t**4 - 2259*t**3 + 7440*t**2 + 216225*t\/2 = 0?\nAnswer: -5, 0, 15, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a + 1160 = -49*a. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394284095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 2, m: 1, o: 5, t: 2}. Give prob of picking 1 o, 1 d, and 1 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4237 + 4236. Which is the closest to f? (a) 2\/5 (b) 1\/4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69609137, -139218274, -208827411, -278436548, -348045685?\nAnswer: -417654822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -36. Solve -3*k - 28 = -3*o + k, -o + 12 = -p*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7 + 56. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136936*v**4 + 543832*v**2.\nAnswer: -3286464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*m - 47. Suppose 778 - 207 = 2*k - m*g, -3*k + 3*g + 879 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65238 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -29. Suppose a + 3*h + h = -y, 6 = -3*h. Suppose 0*i + 2*i - g - 28 = 0, 2*g + 44 = a*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) 1\/7 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.021 + -3.979. Let y = 0.27 + -0.47. Let l = 3 - 5. What is the second biggest value in l, a, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 5. Suppose -189 = -4*t + 3*h, -3*t - 8*h = -f*h - 123. What is the highest common divisor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*d**6 + 5*d**2 + 222*d**6 - 22 + 749*d**6 + 550*d**6 wrt d?\nAnswer: 156600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17655757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -0.3, 176295.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.541 - 91.\nAnswer: -83.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2878 + 0.7878. Which is the closest to 6? (a) 5 (b) p (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20202 - -1?\nAnswer: -20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -50, -115, -214, -353?\n\"Answer: -w**3 - 8*w**2 - 6*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {w: 4, d: 7, c: 3}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 - 7\/(21\/6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228834744871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -17, 6, 39, 82?\n\"Answer: 5*d**2 - 2*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = m. Let h be 0 + 3*1 - 0. Find the common denominator of m\/h - (-123)\/45 and 7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4458489.\nAnswer: 3, 7, 29, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337213*p**3 + 369460*p**2 wrt p.\nAnswer: 2023278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -88*n**2 + 55*n + 48. Let a be w(-9). Is -7575 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5631434 (base 9) to base 16\nAnswer: -2e44ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3280775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 15. Let y = -2550 + 2550.2. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (9 + 17 + -41).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 4) to base 10.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 14*l - 10*l - 5491*l**2.\nAnswer: -5491*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/12476 - -408643\/224568. Find the common denominator of -139\/6 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 4\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491381250 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 314 = -186 - 153 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -7, 0.4, -4, -2\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -288*z**3 + z - 1. Let p(t) = -t**3 - t - 1. Calculate b(a) - p(a).\nAnswer: -287*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10*12\/30*(0 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42790585?\nAnswer: 5, 61, 140297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14744973587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 16 - 5 = 0. Solve 0 = -5*z + 3*y + 5, -f*z = -8*z - 2*y + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 359?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1784*s - 12485. Give g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h - 4*n - 122, 56 = h - n. Suppose -p = 14 - h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75.8 - 57. Let r = 17 - b. Let z = 1.799896 + r. Round z to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 3367, -0.1 in descending order.\nAnswer: 3367, -0.1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 21777*c - 21775*c = -20, 2*c = -4*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -3) + (-13)\/(-6). Let t(n) be the third derivative of s*n**4 + 0 - 7\/30*n**5 + n**2 + 0*n + 0*n**3. Factor t(m).\nAnswer: -2*m*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 >= -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(8*x**3 + 0*x**3 - 2*x**3).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let l(u) = -u**3 + 6*u**2 - 10*u + 3. Let a be l(4). Let m be 109\/(-36) - (a - -2). Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = -8*o + 58. Let z = o + 291\/4. Calculate the common denominator of (2 - 6)*154\/80 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from oioioiiiq.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**3\/3 - f**2 + 5*f + 5. Let c be m(0). Suppose 3*k - 4*r - 13 = -0*r, 0 = -k + c*r - 14. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623097 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 788 = 216. Let u be d\/(-33) + 1\/(-3). Solve 0 = -7*m + 5*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 2056.\nAnswer: 14392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -972350, -972345, -972332, -972311, -972282, -972245, -972200?\nAnswer: -972147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351 + k - 8760 + 5*k - 5*k + 0*k.\nAnswer: k - 9111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 11*j**2 + 12*j - 6. Let p be h(12). Let a(l) = 6*l + 42. Let v be a(p). Let m(n) = -n**3 + 7*n**2 - 4*n - 12. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 17. Let t = 20.99 - l. Let k = t - -0.01. Sort k, -5, -3\/11.\nAnswer: -5, -3\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13232 + -100?\nAnswer: -13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94868 divided by 2564\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 662. Let x(m) = -2*m**2 - m - 133. Determine x(j(y)).\nAnswer: -2*y**4 + 2649*y**2 - 877283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 60*r - 92. Let t(n) = -69*n. Determine t(i(x)).\nAnswer: 276*x**2 - 4140*x + 6348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22909.3012 rounded to the nearest 10?\nAnswer: -22910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(1 - 0) - -7. Suppose a = 3*w + k, -3*a = 2*a - 3*w - 30. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 315*r**3 - 16*r - 557. Let h(y) = -317*y**3 + 19*y + 557. Let w(i) = 5*h(i) + 6*t(i). Find the second derivative of w(q) wrt q.\nAnswer: 1830*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/6))**(26\/5)*b**(-2\/9)*b**(-6))**(-6\/11) assuming b is positive.\nAnswer: b**(190\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 1 - 43. Suppose -22*m = -a*m - 45. What is the least common multiple of 10 and ((-11)\/m - -1)*15\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.7 - -10.17. Let x = u + -1.57. Which is the nearest to 2\/13? (a) x (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 13.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l**2 + 1408*l - 201. Determine x(-131).\nAnswer: 4122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + 3*o**2)*(-4 + 4 + 2 + 4 + 1 - 3 + 3 - 6 + 1 + (-1 + 0 - 1)*(3 + 0 - 1) + 3 - 2 + 0 + 1 + 1 + 0 + 0 - 1 - 1 + 1 - 4 + 2 - 7 - 6 + 0).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 465761\/22 - 21175. Let g = -89 + 149. Calculate the common denominator of z and -2 + (-295)\/g + -2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/27 in 0, 4, 1\/417, -1\/4, -6\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.087, 15, 1, 5, 0.2639.\nAnswer: -0.087, 0.2639, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7 - 3. Let i(t) = q + 1 + t + 0. Suppose 3*l = -3*n - 3, -5*l + 25 = -0*l - 5*n. What is i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 669\/(-2)*36\/27. Let w = -312 - i. Suppose -w = -4*q + 6. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/18)\/((-31382)\/(-72420))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 0 + 83 + 121 + 143 as w + d*p + l*p**2 and give w.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4228 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*z = -1982*z + 231*z + 23242 - 89814 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*n - 1017 = -1063, 0 = 43*z + 2*n + n + 1318 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14060 and 40565.\nAnswer: 6003620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000944 to seven decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 31, 36, 41, 46, 51?\n\"Answer: 5*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6701 * -0.4.\nAnswer: -2680.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11991903 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-6*(sqrt(17) + 2*sqrt(17)) - (sqrt(102)\/(sqrt(6)*-3 + sqrt(6)) - sqrt(17)) - (-1 + sqrt(1377) + sqrt(17) + 2*sqrt(2057))*6)*2)**2.\nAnswer: -10008*sqrt(17) + 2956257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -2. Sort -3, y, 1\/3, 0.1 in decreasing order.\nAnswer: 1\/3, 0.1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -201*w**3 + 6*w**2 - 12. Let n(q) = -2211*q**3 + 67*q**2 - 134. Determine 67*g(v) - 6*n(v).\nAnswer: -201*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 26064710 to the nearest 100000.\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -111*f + 3. Let y be i(-4). Suppose -6*q = -y - 651. Calculate the remainder when q is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39 times -60?\nAnswer: -203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 833328 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 0)*-1 - 0. Let l(f) = 3*f. What is the tens digit of l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 406*z + 111. What is the hundreds digit of w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Let a be (-4)\/w*(-75)\/10. Suppose 2*z = -3*l - 2, -5*z - l + 0*l = 18. What is the second smallest value in 2, a, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 12. Calculate the remainder when (-96)\/(-4) + 48\/(-24) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57292189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1102683816 rounded to 6 dps?\nAnswer: -0.110268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from ggggyggy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23839\/4081 - -280\/53. Find the common denominator of -81\/176 and p.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-6 - -3 - -4). Let k(u) = -u**2 - 8*u. Is 15 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -191 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -bd?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {m: 1, y: 4, u: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4 = r, -45 + 61 = 4*g + r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127340063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48611.\nAnswer: 48611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**5 + 203*j**4 - j**3 - 27442*j wrt j.\nAnswer: 60*j**3 + 2436*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybyppppyqq. Give prob of sequence pbpy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 7*f**5\/30 - 12*f**2. Let b(a) = a**2. Give j(b(d)).\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 465249922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338 - -361. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (2*sqrt(242))**2 + sqrt(242) + (sqrt(2) - -1*sqrt(2)*-1).\nAnswer: 12*sqrt(2) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -10, 3, 2, 16 in ascending order.\nAnswer: -17, -10, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.59 + -20.58057. Round m to 4 decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55\/66*(-63)\/(-10)*32 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2560 and 6048?\nAnswer: 483840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183 - 187) + -1 + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3 and 35\/249?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 2, 9, 28, 65, 126, 217?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*c**2 - 70*c**2 + 202895 - 202900 to the form w + n*c**2 + v*c and give n.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/2520 + z**6\/144 - z**5\/60 + 31*z**4\/24 + 14*z**2. Let h(l) be the second derivative of r(l). Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from uuuyvhuubuuuyhuyu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2303bd (base 14) to base 16\nAnswer: -122ee3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 186*a**2 - 403*a + 6363. Calculate j(184).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 2*r + 20 - 1 + 3*r. Let w be h(10). Suppose w = 4*f + 1. Solve 4*z = f*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*2\/(-12)*4. Let o be (0*m\/(-20))\/3. Suppose 2094 = 2*l - 3*a, o*a - 2*a = l - 1033. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 - 1.85. Let j = -5 - w. Let f = 25.1 - 25.4. Which is the closest to -0.3? (a) f (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erh when three letters picked without replacement from {h: 2, s: 1, r: 1, w: 2, e: 2, f: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 94. Suppose 4367 = z*k + 6*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915206?\nAnswer: 2, 193, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*t + 8 = 4*a, 0 = 3*a + 5*t - 6. Suppose 4 = -4*b + 4*l, a*b - b = 5*l - 17. Solve -2*k = -6, -2*x - b*x + k = 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1426\/(-186)*1179\/(-177767)\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60111.66 micrometers in centimeters?\nAnswer: 6.011166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 6*d**3 + d**2 + 7*d**3.\nAnswer: d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*n**6*o - 254*n**4*o + 3*n**3*o + 3*n**2 - 3*n*o + 3216*n - 2*o + 2 wrt n?\nAnswer: 13920*n**3*o - 6096*n*o + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*n = -165*n. Let s(v) be the second derivative of 0 - 9*v + n*v**2 - 7\/6*v**3. Let f(m) = -2*m**2. What is f(s(u))?\nAnswer: -98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2\/(-6)) + 11. Suppose 3*i - 187 - 191 = 0. What is the greatest common factor of q and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*n + 35 = 174*n. Let s(t) = t**2 - 5*t - 10. What is s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + f - f)*(-f**3 + 4*f**3 - 2*f**3) - 6*f**5 + 10*f**5 + 2*f**5 + 2*f + f**2 - 2*f**5 - f**2.\nAnswer: 7*f**5 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 25 = o, -3*c - 11*o = -7*o - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -14*j + 12. Suppose 2*b - q - j*q + 28 = 0, -b - 10 = -q. Are -5 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 82300 - (2 + (-13 - -10)). What is b rounded to the nearest one thousand?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11560411042 - 14\nAnswer: 11560411028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 2 + 0 + sqrt(13) + sqrt(13) + 5.\nAnswer: 7 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/300 - d**4\/120 + d**3\/15 + 9*d**2. Let y(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139633\/60 + 11574\/5. Calculate the common denominator of m and 143\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -303*k**2 + 3. Calculate g(1).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239717*c**2 + 119862*c**2 + 119856*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 2*v + 5. Let k(y) = -9*y**2 - 4*y + 9. Give -7*i(q) + 4*k(q).\nAnswer: -q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2195 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from jjaajjjjaja.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 - 295.17. What is r rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 813163 and 7384.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 3, m: 1, a: 4, x: 4}. Give prob of sequence pxx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*r - 284*r - 2075 = 0. Let l(s) = -11*s + 6. Let b(w) = -10*w + 7. Give r*l(u) + 4*b(u).\nAnswer: 15*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2\/9 (c) 11\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401, -397, -393, -389, -385, -381?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y**4 + 2*y**4 + 4*y**4)*(5 - 3 - 1) + 4*y**4 + 0*y**4 - 3*y**4 + 0*y**4 + 3*y**4 - 4*y**4 in the form a*y**3 + h*y**2 + i*y + x*y**4 + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:35 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 858, 1232, 1610, 1992, 2378?\nAnswer: 2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 3*w - 14*w**3 - 3*w.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8227.022 litres to millilitres.\nAnswer: 8227022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**4 + 3*s - s + 24*s**4)*(0 - 4 + 3).\nAnswer: -29*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 7*t**2\/2 - 4*t - 20. Let z(q) = 2*q - 6. Let i(v) = -1. Let c(h) = 15*i(h) - 3*z(h). Determine -5*c(j) - 4*x(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:45 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10464)\/9592)\/(2\/22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -261\/2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.902991 + 0.031791. What is j rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*-91.8\nAnswer: 284.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -26ee5?\nAnswer: -26ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(-n + 2 - 2 + n**2).\nAnswer: -5*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(4400).\nAnswer: 4 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*g + 12, -3*g + 3*r + 12 = -6. Suppose -2*w + x = -2*x - 3, g*w - 11 = x. What is the smallest value in 0.3, w, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -126. What is the third biggest value in -1, -0.3, a, -4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/600 + 11*z**5\/300 + z**4\/3 + 8*z**3\/5 - 18*z**2. Factor g(n).\nAnswer: (n + 3)*(n + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*u - 80*u - 149*u as d*u + r and give d.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoz when three letters picked without replacement from {o: 3, b: 7, z: 8}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48596706 to the nearest integer?\nAnswer: 6971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/36*2*(-27)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/2079*42*(-22)\/(-4). Solve 0 = -4*x + 3*b - 3, 8 = -2*x + m*x + b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 16*g. Let k = 21 - 6. Let o be h(k). Let l(b) = b**3 + b. Let a be l(2). What is the greatest common factor of a and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 353, 354?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 33. Suppose 7*z + m = 44. Let d be 1*(12\/z + 0) - -11. Solve -6 = -5*p + d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - s)*(4 - 116*s**2 - 4 + 521*s**2 - 3687*s**2).\nAnswer: -6564*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n + 71. Let i be (4\/2)\/(4\/22). Let g = i - 6. What is the remainder when j(-9) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238996500 rounded to the nearest 1000000?\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.72 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 5*n + 1. Let r be g(0). Which is greater: 3\/5776 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-585)\/(-24))\/13)\/(-10*(-30)\/50).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731.469km to centimeters.\nAnswer: 73146900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 8, -k = -5*a - 61. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*u**2 + 87*u**2 + 112*u**2 + 52*u**2 - 15*u**2 - 3*u as s*u + h*u**2 + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**7\/840 - a**6\/120 + a**5\/60 - 3*a**2\/2 - 3. Let q(g) be the second derivative of p(g). Factor q(v).\nAnswer: v**2*(v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 4)*(4*z + z - 3*z)*(-7*z**2 + 0*z**2 - z**2) to the form b*z + i + c*z**3 + w*z**2 and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 5*j**2 - 5*j + 2. Let x be 35 + (-4 - -14)\/(-2). Let h be (x\/20)\/(2\/(-4)). Let u(z) = -2*z**3 + 3*z**2 + 3*z - 1. Determine h*p(i) - 5*u(i).\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 171, 344, 517, 690, 863?\n\"Answer: 173*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -16*m**3 + 8*m**2 + 8*m + 8. Let b(u) be the first derivative of 5\/2*u**2 + 5*u + 5\/3*u**3 - 11\/4*u**4 - 18. Determine 8*b(c) - 5*r(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (210\/4550)\/(1\/10)*(-78)\/24\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 649. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -503, -991, -1473, -1949, -2419, -2883?\n\"Answer: 3*r**2 - 497*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -127*k**5\/20 + k**3\/2 + k**2 + 2105*k. Calculate c(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.4801 millilitres to litres.\nAnswer: 0.9164801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3 - 2. Let s = v - -6. What is the biggest value in -3, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028438.\nAnswer: 2, 514219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**3\/7 - 3081*y**2\/7 + 782538*y\/7 + 1577424\/7 = 0.\nAnswer: -2, 472, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15 - 3 + 5 + 6 - 24*j. Let y be s(-7). Let b = -89 + y. Calculate the highest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.2 - -12. Put f, 5, -0.5 in decreasing order.\nAnswer: 5, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooww when four letters picked without replacement from wwwowuouwuo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3128353 divided by 3128353?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + w = y - 3, y + 4*w = 3. Suppose -2*h + 5*h - 12 = 0. Calculate the remainder when h is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:36 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86612670.9 nanoseconds in weeks?\nAnswer: 0.00000014320878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -25*v + 1. Let w(p) be the first derivative of p**2\/2 - 28. Determine w(r(o)).\nAnswer: -25*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.3192*60.\nAnswer: 559.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7703709*a**2*m**3 - a**2*m**2 - 6*a**2*m + 2*a*m**2 - 5758 wrt m?\nAnswer: 46222254*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -10*h**6\/3 + 3*h**4\/4 - h**2 + 15*h + 111. Find the second derivative of l(t) wrt t.\nAnswer: -400*t**3 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/58, -0.5, -22\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(0 + -8)*-2. Which is smaller: -3\/2 or a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 7652*m - 7587*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -0.000105631?\nAnswer: -13.000105631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 36. Let d be 75\/7 + (-4)\/h. Let p be 78 - 4\/2 - -1. What is the highest common divisor of d and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623905 is divided by 62388?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 1486397760031.\nAnswer: 1486397760030.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, f: 1}. Give prob of picking 1 f and 1 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.1. Let r = 122466 + -122466. Which is the third biggest value? (a) w (b) -2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -6, -4 in increasing order.\nAnswer: -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -25. Let j = q + -14. Let f = 11.8 + 3.2. Which is the second biggest value? (a) f (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021696883 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/2725 in 1, -2\/3, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20585, -82355, -185313, -329459?\n\"Answer: -20594*k**2 + 12*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 - -10?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 9*d**2 + 11*d + 14. Let o be h(-10). Let t = -54 - -54. Suppose t = -o*r - r + 125. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*u + 380*u - 543*u - 1878*u.\nAnswer: -2876*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23065123 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 3*g)*(6*g**3 - 4*g**3 - 8*g**3).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*m**2 + 1063*m**2 - 2130*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72\/7? (a) 4\/17 (b) 3 (c) 20.8 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 14. Let v(g) = 5*g + 35. Determine v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 11:19 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33580382 divided by 22?\nAnswer: -1526381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.2 plus -92355.75?\nAnswer: -92014.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from bjlgpglbnblb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r**3 - 43*r**2 - 273*r + 2. Determine m(-5).\nAnswer: -2458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*s**2 + 252*s**2 - 1217*s**2 + s**3 - 81 - 1194*s**2.\nAnswer: s**3 - 2514*s**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence des when three letters picked without replacement from qdcweccqeccqswc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from cscsgdsscgccccccc?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 5*g. Let m = -24 + 30. Calculate the remainder when 59 is divided by o(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfyfyfyhtyyfyy. What is prob of picking 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10\/3 (b) 0.1 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - o = 1172, -3*u + o = -4*u + 232. Suppose f = 3*a - 4*f + u, -78 = a + 3*f. Let j = -7 - a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:37 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225173 is divided by 14761.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + 117.071. Let s = 0.399 + q. Let i = s + -0.46999937. Round i to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/3 (b) -5 (c) -224\/125 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(4\/(-160)*-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -562, -5, -21, 7, 3 in increasing order.\nAnswer: -562, -21, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s*v**3 - s*v**2*w - 6*s*v*w + 379*v**3*w**2 - v**2*w**2 + 5*v*w wrt v.\nAnswer: -6*s + 2274*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 36*k + 39*k - 20, 5*k - 28 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 193, -172, -785, -1646, -2755?\n\"Answer: -124*i**2 + 7*i + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -58 (c) 5 (d) 3\/2 (e) 3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1290 (b) 113 (c) -0.1 (d) -2 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j + 19. Let n be 3\/(-6)*(-1 + (-5)\/(-5)). Suppose -5*a + 4*a + j = n. Solve -a*d = 2*t, t = -t - 3*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 128. Let x be d\/36*(-8)\/6. Suppose 0 = -x*h - 11 + 41. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - -1) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 12 + 9 + 9 - 27)*(16 - 16 + 4*l) to m + b*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 10*y - 21 + 31 in the form d*y + a and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*s = -42, 5*r + 7*s - 2*s = -125. Let h = r - -48. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11224 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21102101110 + -11112?\nAnswer: -21102112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*w, w - 2 = -2*a - a. Suppose -5*x - 4 = a. What are the prime factors of (-25)\/(-2) + x\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 10, -388, 0, 4 in decreasing order.\nAnswer: 19, 10, 4, 3, 0, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-60) + 44\/10. Is 6 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-4))\/(78*162\/(-168480))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose -5*o - 6 - i = 0. What is the units digit of (3\/o)\/(6\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 - 2\/(-1) - -252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 + (-9872)\/(-12). Let g = 7451\/9 - k. What is the common denominator of g and -41\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.23*0.08.\nAnswer: -0.1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8 + 26*c + 5 - 18*c. What is the units digit of h(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + x - 7, -5*s = -0*s + 5*x + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 - -357. What are the prime factors of f?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.0362 to 1 decimal place.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 2*k - 45*k**2 - 40*k**2 + 90*k**2. Let q(c) = -4*c**3 + 10*c**2 + 5*c. Calculate 2*q(s) - 5*u(s).\nAnswer: 2*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (232\/(-754))\/(126\/26 - 5). Solve 0 = -h*k, 250*g + 5*k = 249*g - 6 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35108 and 38252?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (20 - 0) + -12 + 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1)\/1 + 120\/72. Factor -2\/3*t**5 + l*t**4 + 2\/3*t**3 - 2\/3*t**2 + 0*t + 0.\nAnswer: -2*t**2*(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76153 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/55)\/((-495)\/5445).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let t(u) = -u**2 + m - 6 + 4*u + 5*u - 3*u. Determine t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.94 + -0.5. Let h = a - -1.44. Let q = -54 - -58. Is q smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 + 1745520*r + 190427504400 = 0. Calculate r.\nAnswer: -218190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcfcfcffffccffcffc. What is prob of picking 1 f and 1 c?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 1367861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 749 - -662. List the prime factors of s.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -39. Factor -5*f**4 + 3*f**2 - 6*f**2 + 2*f**4 + 6*f**n.\nAnswer: -3*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 2\/19 (c) 0 (d) -1\/3 (e) 273 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3385, 3381, 3373, 3361, 3345?\nAnswer: 3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/7 - 117*p**4 + 3294*p**3\/7 + 1634*p**2\/7 - 9885*p\/7 - 7407\/7 = 0. What is p?\nAnswer: -823, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4503324 is divided by 1356?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -330*d - 1380913*d**2 + 368*d**5 + 1380913*d**2 wrt d.\nAnswer: 7360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15*4747484\/210*((-6)\/4)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37881534161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 3*g**2 - g + 4*g**2 + (-3*g - 3*g + 5*g)*(2 - g - 2) - 9*g**2 - 4*g**2 + 50*g**2.\nAnswer: 39*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*m - 38, 0 = -3*c + 2*m + 13 + 1. Is (0 + c)\/(15\/105) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/10 - 17707*p\/5 + 106224\/5.\nAnswer: (p - 35408)*(p - 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305 = 5*z + 7*q + 289, -12*q - 42 = -3*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12268996 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -419969 minus 869?\nAnswer: -420838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 20*j + 2. Let h(o) = 3*o**2 - 17*o - 1. Let a(y) = 5*c(y) + 6*h(y). Let k = 1 + -12. Let s(t) = 8*t**2 - 5*t + 11. What is k*a(i) + 4*s(i)?\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8529367 divided by 8529367?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1653 or 10536?\nAnswer: 1653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405414 - -2232?\nAnswer: -403142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t - 87. Suppose 3*j = -4*n + t, 6*j + n + 8 = 8*j. Suppose 3*r = -5*d, -j*r + 0*d - 3*d = 0. Solve i + i - 9 = z, 2*z + 2 = r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4919*d + 226252. Calculate r(-46).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.19322 from -8253328380.\nAnswer: -8253328380.19322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 19 + 9)*(1 - 2 - m + 3)*(12*m**2 + 15*m**2 + 4*m**2) to g + y*m + p*m**3 + l*m**2 and give l.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92508 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/61, -0.3, -0.133?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 2, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from wvvwvvvv.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 - 5*p + 3. Let y be l(6). Let i = -1659\/8 - y. Put -1\/6, 5, i in ascending order.\nAnswer: i, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2. Let r(l) be the first derivative of l**6\/90 + 4*l**3 + 13. Let x(n) be the third derivative of r(n). What is x(i(z))?\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16757 minus -61?\nAnswer: -16696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 4109*v + 32887. What is i(-8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, 10, 4\/15 in decreasing order.\nAnswer: 10, 4\/15, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -7549174.\nAnswer: -2264752.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(-1 - -1). Let d be 7 + -6 - (-3 - 0). Solve -d*a - a + 5 = n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let s(r) = -17*r + 5. Let k(n) = n + 1. Let u(o) = 10*k(o) - 2*s(o). Determine y(u(t)).\nAnswer: 1936*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18525954 less than or equal to 18525954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Calculate the greatest common divisor of u and 541.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + -4 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 + 2*r - 6. Let m = 12 + -7. What is the units digit of n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/81*5*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -38656.9625 to the nearest 100.\nAnswer: -38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -16. Let j = 0 - k. What is the remainder when 21 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 45 + 25 = k, 0 = -3*z + 5*k - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.005 (b) -56\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(12) - sqrt(48)\/sqrt(4) - sqrt(12)))\/(sqrt(90)\/(sqrt(10) + sqrt(40)) + sqrt(9)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31430407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8989839 and 932?\nAnswer: 35959356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -183*k**2 + 11613. Let f(o) = -o. Calculate f(g(v)).\nAnswer: 183*v**2 - 11613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15*d*d**(1\/6)*(d\/(d\/((d\/((d*d\/d**(2\/7))\/d)*d)\/d)))\/(d\/(d**(-7\/3)\/d)))**(-4\/3) assuming d is positive.\nAnswer: d**(-1018\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = 5*o, 0 = 3*o + v + 6 + 1. Suppose -7*u = -266 + 238. Sort o, u, 5 in descending order.\nAnswer: 5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2 - 15*a - 37. Is d(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(((t**(-1\/24)\/t)\/t)\/t)\/t)\/t*((t\/(t**(-4)\/t))\/t)\/t*t\/(t*t**(-8\/7))*t**(-1\/25) assuming t is positive.\nAnswer: t**(8657\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -3*o - d - 80, -47 = -o - d. Let m be (168\/20)\/(45\/o). Solve 8*t - 4\/3*t**2 + m = 0 for t.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 42 + 12 = 0. Let p = 28 - 25. Suppose -p*n = 3*v - v - 17, 5*n = 2*v + 23. What is the greatest common divisor of s and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -3101 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09048352347 - 21\nAnswer: -20.90951647653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, g: 2}. Give prob of sequence wk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-3))*k**21)\/((k*k**(8\/3))\/k*k*k**13) assuming k is positive.\nAnswer: k**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -243*n - 162. Let u(o) = 1. Calculate m(i) + 162*u(i).\nAnswer: -243*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036200314 rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**19\/a**(-19) assuming a is positive.\nAnswer: a**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - 4. Suppose -2*n + 5*u = -0*u - 259, 0 = -3*n + 5*u + 376. Let z = o + n. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -104, -163, -240, -341, -472?\n\"Answer: -z**3 - 40*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944029, -1888055, -2832081?\nAnswer: -3776107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 77 + 7*t as o*t + f and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 + 2550*y**2 + 433485*y + 24562440 = 0. What is y?\nAnswer: -171, -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m - 20*m + 13*m - 13. Let g be i(-1). Which is the nearest to g? (a) -0.3 (b) 0.4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.1*30.774\nAnswer: -280.0434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3112321500 rounded to the nearest one million?\nAnswer: -3112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (216\/243)\/(10\/9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1540)\/(-55))\/28)\/(3\/186*-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 + 1911*f - 429264 = 0 for f.\nAnswer: -813, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3546546, 7093099, 10639652, 14186205?\nAnswer: 17732758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from {n: 1, q: 2, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 55. Is -13 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 9. Let o be 1 - ((-6 - 0) + h). Let q be (-2)\/(-6) - (-15)\/o. Solve 2*x - 3*a = -13, q*x - 2*a + 2 + 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189097 divided by -239\nAnswer: -189097\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = 1. Let m be 0 + (-9)\/(-12) - i. Put m, 2, 5\/4 in ascending order.\nAnswer: m, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/6 + 544*t**3\/3 + 73984*t**2 + t + 920. Determine f so that n(f) = 0.\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1277220 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1002 - -1004. What is the smallest common multiple of x and 79?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*g**2 - 3 + 115*g**2 + 3 as v*g**2 + t + w*g and give v.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.1, -4.5, -1\/2, 42\/31?\nAnswer: 42\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*x - 4)*(2*x**4 + x**3 - 7*x**4 + 4*x**4).\nAnswer: 2*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - o - 4*o - 16 = 0, 0 = -o - 4. What is u rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 539041751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.35 in -3, -4, 69.71?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242\/5 - 48. Let g be -2 + (-1)\/(2\/(-3)). Which is the second smallest value? (a) s (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {n: 3, a: 3, q: 1, f: 2, m: 1, x: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:23 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 57, 1\/248, 4, -1.8, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 9*t + 17*t**2 + 42*t - 20*t - t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1881\/52 or -37?\nAnswer: -1881\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0.115, -2\/11 in descending order.\nAnswer: 2, 0.115, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 4*v**2 + 4*v - 21. Let w(d) = 2*d**3 + 3*d**2 + 3*d - 22. Let z(o) = o**2 - 46*o + 452. Let u be z(14). Determine u*w(h) - 3*c(h).\nAnswer: -h**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7512 = -3*t + 3*n, 3*t + 75*n - 71*n = 7540. What are the prime factors of t?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 300937*v - 300949*v + 264 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -855, 5, 4, -31076 in increasing order.\nAnswer: -31076, -855, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101908 or 2\/29?\nAnswer: -101908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 13*g**2 - 11*g + 16. Let r be t(-12). Solve 20 = -3*n - 5*f, -n + 4 + r = -2*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 2678.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-135)*6 + (-2606)\/18. Let l be u\/(-58) + 2\/(-4). Factor 5*v - 10*v + 0*v + 25*v**l - 10*v - 10.\nAnswer: 5*(v - 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2758300 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1043328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -13. Sort -0.4, v, 4, 2\/9 in decreasing order.\nAnswer: 4, 2\/9, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2214701019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/4475 - -237247\/107400. Calculate the common denominator of (10 - 8) + 2*170\/(-8) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Let r(n) = n - 2. Let c(u) = -4*d(u) + 3*r(u). Give c(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -305.6 + -8.3.\nAnswer: -313.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 - 9*l - 9. Let p(d) = 5*d**2 - 3*d**2 - 5*d + 4*d**2 - 5. Let u be ((-4)\/10)\/(80\/1400). Give u*p(y) + 4*q(y).\nAnswer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -89 and -447\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/113215 and -28\/203787.\nAnswer: 1018935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5\/3 + 112*b**4\/9 - 566*b**3\/9 + 460*b**2\/9 = 0.\nAnswer: 0, 1, 23\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 9. Suppose g + 5 = f*g. Suppose g*y - 6*y + 9 = 0. Calculate the remainder when 15 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2443 - 413 = -51*b for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 166\/8 - 1\/(-4). Solve 2*w = 3*z + 22, z - 2*w = 7 - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 - 5*j - 5. Let w(q) = 3*q - 12. Let a be w(6). Let h(d) = 6*d + 20352*d**2 - 40701*d**2 + 6 + 20353*d**2. Calculate a*c(m) + 5*h(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 725 + 683 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -178, -394, -638, -916, -1234, -1598, -2014?\n\"Answer: -w**3 - 8*w**2 - 185*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -5\/6 (b) -3993 (c) -37\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1))**(-1\/12)*t*t\/t**(2\/23)*((t\/t**(3\/8))\/t*t)\/t)**3)**(-45) assuming t is positive.\nAnswer: t**(-40275\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240*m + 95690 = 494*m for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225696 (base 11) to base 2.\nAnswer: -1010111100111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 22*q**3 + 5*q - 8*q**2 - 2*q + 19*q**3 as b + g*q**3 + a*q**2 + u*q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 460*j + 911*j - 74 = 457*j, -44 = 8*p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-3))\/q*q)\/(q*q\/(q\/q**(-2\/9))*q))\/(q**(3\/8)\/q**(-3\/10)) assuming q is positive.\nAnswer: q**(-1603\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-414)\/4)\/(16\/(-32)). Let c = 297 - q. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*m + 6781 + 4140 = 1471 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 7*o + 3. Let l = -220 + 227. Let y(v) = 2*v - 1. Determine l*y(j) + 2*a(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -5. Let j be (2\/32)\/((-10)\/n). Let h = 3.436 - 0.436. Which is the nearest to -1? (a) h (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(9 - 3)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g**2 + 13*g + 10. Suppose -19*b + 23*b - 36 = 0. Is x(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -22*h - 671. Determine r(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {g: 13, w: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002064 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2654 in -2, 1, -0.06, 4, 2\/19?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.94502 centimeters to kilometers.\nAnswer: 0.0003394502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58480, 58494, 58516, 58546, 58584, 58630?\n\"Answer: 4*f**2 + 2*f + 58474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-5 + 0 - (-13 - 9) - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 - 6*u**2 - 9*u + 6. Suppose 143 - 158 = 3*y. Let h = 19 - 13. Let o(k) = 3*k**3 - 5*k**2 - 8*k + 5. Calculate h*o(m) + y*l(m).\nAnswer: -2*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 - 5*j**5 + 2*j**5 + (3*j**4 - 3*j**4 - 2*j**4)*(-3*j + 3*j + j) - 3*j**5 + 2*j - 2*j.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/98 and ((-5)\/(-140))\/((-7)\/44)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 20\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/915912 and -7\/1984476?\nAnswer: 11906856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797954091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -15*h**4 + 665*h**3 - 6015*h**2 + 13015*h + 11550 = 0?\nAnswer: -2\/3, 5, 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628281061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2629 = -29*k + 1634. Let w = -135 + k. Solve -3*v + 4 = -5*r + r, 2*v + 2*r - w = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415 + 2791 = 4*q - 112*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231255*d**2 - 5847*d - 15 wrt d?\nAnswer: -462510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l - 15. Let m be i(3). Factor 56*j + 36*j**3 - 85*j**m - 20*j**2 + 45*j**3.\nAnswer: -4*j*(j - 2)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or 29060?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 353247*u**5 + u**2 - 24178*u - 2?\nAnswer: 21194820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/22)\/(-2)*(-704)\/(-1152)*36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369847889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14132, 28251, 42370, 56489, 70608, 84727?\n\"Answer: 14119*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqaaqaaqqaqaqqqqqq. Give prob of sequence aa.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -52, -17, -5 in decreasing order.\nAnswer: -4, -5, -17, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0532 + -23.4568. What is a rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18d50 - -1?\nAnswer: -18d4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s + 144*s**5 - 145*s**5 - 6*s + 2*s**3)*(-1 + 2 - 2).\nAnswer: s**5 - 2*s**3 + 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109)\/(-119900)*-11*-6?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - 30000?\nAnswer: -30117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*p - 16, -3*o + 64*p - 24 = 69*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 6*n - 9. Let m be r(-6). Let j(a) = -a**3 - 8*a**2 + 10*a + 7. Let i be j(m). Is 0 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)**2*2 - sqrt(38)\/sqrt(8).\nAnswer: -sqrt(19)\/2 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 93979.\nAnswer: 4041097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -14) + 2 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 6)\/(1\/(-5)). Let w = -7 + k. Let f be 15 - -3*w\/6. What is the highest common divisor of 154 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 6*r**2 + 6*r - 6. What are the prime factors of g(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 16*p - 205. What is the hundreds digit of c(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 367 = 1488. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 141.4 (b) 35 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 67.814, 5 in decreasing order.\nAnswer: 67.814, 5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6825\/11 - -621. Let m = -225.4 + 21.4. Let f = m - -203.8. What is the second smallest value in f, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from uubub?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10146*c**5 - 3*c**3 + 348*c**2 - 34755869*c wrt c?\nAnswer: -202920*c**3 - 18*c + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-15) - (0 + 6\/(-9)). Let o = -4\/5 - r. Suppose 0 = -2*d - d. Is o at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*r - 7 = 291*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5285897 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12) + (sqrt(12) - (sqrt(12) - (sqrt(1728) + 1*sqrt(1728))))).\nAnswer: sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let l(y) = -2*y + 556314. Give l(m(x)).\nAnswer: -4*x**2 + 556314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 16*f + 690. Let x = f + 336. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 3*m - 187. Suppose -o + 3978 = -16*n + 21*n, 3982 = m*n - o. List the prime factors of n.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032012311 (base 4) to base 10\nAnswer: -319925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2\/9, -12\/7, 3567?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -19. Let t = f + 3.3. Which is the nearest to -1? (a) t (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-22) - 414\/99. Let y be 8 + ((-8)\/l - 5). Find the second derivative of -4*t + 2*t**2 + 11*t**2 - y*t**2 wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Let j(w) be the third derivative of 50 + w**2 + 0*w**3 + 0*w - 5\/12*w**4. Determine v(j(z)).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 11. Let w be v(5). Let a(i) = 2*i - 1. Let l = -18 + 17. Let d be a(l). Put 1, d, w in ascending order.\nAnswer: w, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/((-2)\/6). Let m(u) = -2*u - 218 - u**3 + 0*u + 219 - 4*u**2. Let d be m(i). Is d bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162149521\/1617 - 100278. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-2 + -1)) + 0. Let b(x) = -x + 9. Let g be b(-9). Let m = g - 13. What is the greatest common divisor of v and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (128\/80)\/(2\/5). Solve 3*a - 4*a = -3*r, -b*a = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from {d: 6, q: 1, x: 7}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*d + 45 - 3, -2*d = 5*f. Suppose -580 = d*i - 15*i. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*(-2 - (-13)\/6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 3. Let a(t) = t - 2. Let h be a(3). Let p be l(h). Let z(f) = -f + 2. Determine z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*6*30\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let f(d) = -w - 3 + 2*d + 4 + 6*d. Suppose 5 = -h + 4*y - 0, y - 6 = 5*h. Calculate f(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18402 is divided by 3677.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*r**3 - 63*r**3 + 114*r + 86*r**3 + 28*r**2 - 27*r**2 + 24*r wrt r?\nAnswer: 642*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1999375 is divided by 115?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1050, 1801, 2548, 3291?\nAnswer: 4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, 10 in increasing order.\nAnswer: -40, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -75, -66, -53, -36?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9879501 + 1807*q**2 + 562*q**3 - 9879501 wrt q?\nAnswer: 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 42618*x + x**2 - 42618*x.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4050\/(-18))\/(-5)*20\/(-150)*12\/4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1786205*j + 1786208*j = -16, -5*d + 8 = 3*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*a + 13*a - 306. Let o be 0\/(2 + -1 + -3). Suppose -p + 2 = -o*p. What is the least common multiple of a and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 206*z + 3483. What is v(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/30 and (30\/(-144)*2)\/(2\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 46, -2, 1, -6, 3, -9 in descending order.\nAnswer: 46, 13, 3, 1, -2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33 + (10 - 10) + -12. Solve -g = 29*l - 36*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Let s be (-47)\/y + (-3)\/12. Let h = 29 + s. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 12*o**2 - 4*o - 22. What is the remainder when m(-10) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415204583\/779 - 532997. Let p = -2\/779 + m. Is p > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 4*p**2 - 4*p**2)*(p**2 + 0 + 4*p**2 + 2).\nAnswer: -5*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6706368 by 124192.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + -16 - (-133 - -188))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116907\/17 + 6877. Find the common denominator of d and -81\/76.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + -0.01. Let s = -101140\/7 - -14328. Let n = s - -121. Which is the nearest to n? (a) i (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1147434 kilograms?\nAnswer: 114743.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*d + 18, -20*d + 22*d = 5*v - 18. Solve -4*r - o - 17 = v, 0 = -0*r - 2*r + 5*o - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 9*j**2 - 3*j**2 + 2*j**2 + 13*j**2. Let q(o) = -8*o + 8*o - 7*o**2 + 5*o. Determine q(h(l)).\nAnswer: -7*l**4 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 90066 divided by 3\nAnswer: 30022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.29831 and -0.8299?\nAnswer: 6.12821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 18 = -6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -1\/42*u**4 + 0*u**5 + 0*u**3 + 0 + 1\/105*u**6 + 0*u**2 - 2*u. Determine y so that h(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/3 + 7*z**3\/3 - 2*z**2 - 28*z\/3 + 40\/3 = 0. What is z?\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.4, -1\/2, 2, 0.083?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 39936402*c**3 + 23639*c**2 + 23639*c + 23639. Let g(h) = 3379*h**3 + 2*h**2 + 2*h + 2. Calculate -2*a(i) + 23639*g(i).\nAnswer: 3377*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 6) in base 16?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**2 - 15*w + 8. Let u(j) = -5*j**2 + 8*j - 4. Let z(q) = -7*u(q) - 4*y(q). Let m be z(2). Solve -3*t = m, -5*t = x + 3*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from umumu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62065\/3 - -20689. What is the nearest to 11 in c, 3, -0.2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -15*1)*(-10)\/25. Let r be (-2)\/i*(-17 - -23). List the prime factors of 74*(2 + (5\/r - 4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24823 + 39912. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(0*s**2 - s**2 + 0*s**2)*(-s + 10 - 10)*(s - s + 3*s).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-2 + 2 + 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39263?\nAnswer: 7, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44709 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*w + 26 = 0, 2197*g + 2*w = 2192*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4761088 + -7?\nAnswer: -4761095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 105*t + 210. What is the closest to -2 in -2, t, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-120) - ((-212)\/(-60) - 3). What is the fourth smallest value in 17, f, 3, -6\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 65, 145, 257, 401, 577?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -21*t + 12. Let w = 58 + -60. Let b(u) = 83*u - 48. Let p(h) = w*b(h) - 9*n(h). Find the first derivative of p(f) wrt f.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 12*h**2 - 2*h + 18. Suppose -160 = 15*m - 340. Determine n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + -123?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64458 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -122541 (base 7) in base 13?\nAnswer: -a371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -164. Let b be (x\/(-25) - 5)\/(-2). Solve -1\/5*t**2 - 2\/5 - b*t = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - sqrt(42)\/sqrt(6)) + ((4*sqrt(343))**2 - sqrt(7)).\nAnswer: -sqrt(7) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = 5*j - 3*u, -5*j - 2*u = -9. Let w = 10832217\/155 + -69885. Let q = 4\/31 + w. Which is bigger: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -621.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 1. Suppose 7*p = 68 + 51. Let a(m) = -6*m - 6. Let f(w) = -6*w - 5. Let g(l) = -2*a(l) + 3*f(l). Determine p*z(b) + 6*g(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/27*(1 + 1\/2). Let j be (-4)\/(-18) + (-302470)\/(-9). Let t be j\/(-20) + 1\/5*p. What is t rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8097 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from mmmymhdmhxhi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 15}. Give prob of sequence stt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 3, z: 7, e: 5}. Give prob of sequence zk.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269849?\nAnswer: 449, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) 49 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 40 = 8*d - 4*d, 3*d - 7 = 2*y. Suppose -43 = -5*k - 18. Calculate the remainder when k is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 190440.\nAnswer: 1\/21160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187752929?\nAnswer: 7, 13, 181, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and -3319.\nAnswer: -3319.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20211221 (base 3) to base 9.\nAnswer: 6757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 91262.56 times 0.4\nAnswer: 36505.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 - 9449530*k\/7 - 28348608\/7.\nAnswer: 2*(k - 4724768)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/45)\/(25\/((-675)\/18))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643162.5 rounded to the nearest 1000?\nAnswer: 643000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7507 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3491.520943 - -3491.5. Round z to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95662596?\nAnswer: 2, 3, 257, 31019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 62810?\nAnswer: 942150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**3 + 251*z**2 - 23903*z + 120444920 with respect to z.\nAnswer: 3*z**2 + 502*z - 23903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*(15000\/(-1800))\/(5\/4)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-3)\/(-6))*-10. Suppose 4*a = -16, r*y - 3*y - 2*a = 78. Let q = y + -25. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 126\/43?\nAnswer: 126\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - (sqrt(6) + (sqrt(36) + sqrt(144)\/sqrt(4))\/sqrt(6)))\/(sqrt(96)\/(sqrt(3) + sqrt(108))).\nAnswer: 21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11756914, 23513827, 35270740, 47027653, 58784566?\n\"Answer: 11756913*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-3\/4))\/q*q**24*q*q assuming q is positive.\nAnswer: q**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -63*o - 122 - 228 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-5)\/(10\/2). Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1127754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**2 + 3*q**3 - 4*q**3)*(-q**2 + 1 - 1).\nAnswer: 2*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.48023 rounded to 2 dps?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/60*(-4)\/(-2)*(244035\/(-29))\/51.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 0)*1\/3. Suppose -a*g + 170 = 50. Let y(l) = -l**2 - 23*l + 23. Let s be y(-22). What is the greatest common divisor of g and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1124 - 1587. Let m(r) = -365*r**2 - r - 8. Let w be m(-4). Let j = s - w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -217*i**3 - 2*i - 1. What is j(-1)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.669 * -1167338\nAnswer: -780949.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/42*-3)\/((22\/(-99))\/((-189)\/(-10449))).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1.9 (b) 0.1 (c) 3\/8 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**4 + 290*l**3 - 299*l**2 - 608*l - 18. Let j(h) = -5*h**4 - 290*h**3 + 298*h**2 + 611*h + 21. Let s(b) = 7*d(b) + 6*j(b). Solve s(q) = 0.\nAnswer: -59, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9015290*t**4 - 11400227*t?\nAnswer: -108183480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 + (68 - 14)\/18. Let q(z) be the first derivative of 1\/36*z**4 + 5\/27*z**b - z + 1\/6*z**2 + 16. Factor q(c).\nAnswer: (c - 1)*(c + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 30 (c) -5\/3 (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -96793?\nAnswer: -2\/96793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4792725283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 1216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let x = 0.6 + -0.9. What is the closest to s in 2\/3, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 3.17175\nAnswer: -0.951525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -10.6 (c) -1 (d) 0.1 (e) 0 (f) -1746 (g) -6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/85)\/((-48)\/(-408)). Solve 2*h = -p*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**3 + 5*z**2 - 5*z**2 + (1 - 1 + z)*(-4*z**2 - 3*z**2 + 6*z**2) + 5 - 11*z**2 + 11*z**2 + z**3 as c + u*z**3 + x*z**2 + w*z and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14160 - 3000 = -4*r, 2*r - 8580 = 3*p. Is r a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 8. Let w be c(3). Suppose 2*k + 4*i = -3 - w, 0 = -3*k - 3*i - 3. List the prime factors of k\/10 - (394\/(-5) - 0).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:57 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -24. Let f be w\/(-6)*42\/(-15). What is the remainder when 32 is divided by 4 - f - (-1 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88414, 176839, 265264?\nAnswer: 353689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222004231 (base 5) in base 2?\nAnswer: 100001011111111111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 388*b - 3. Let l(x) = -621*x + 4. Let d(c) = 5*l(c) + 8*v(c). Let y(a) = 4*a + 4. Let p be y(-5). Let h = p - -9. Calculate d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -476451 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29040425.\nAnswer: 5, 1161617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d + 16. Let m be i(7). Is 25 a factor of (m\/(-6))\/(9\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20.151.\nAnswer: 20.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let a(l) = -2 - 4*l + 2*l + 70*l**2 - 37*l**2 - 36*l**2. Let j(z) = 25*z**2 + 17*z + 17. Let d(f) = 51*a(f) + 6*j(f). Determine d(o(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 4. Let t be x(-6). Let z be (-15)\/t*(-2)\/3. Let y = 455 - 456. Which is the smallest value? (a) y (b) 2 (c) -5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30227 + 62832. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111101001010 + -110100101?\nAnswer: 1011110110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, q: 2, i: 1, b: 1, h: 2}. What is prob of sequence ge?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-25))\/((-66)\/660))\/(434\/(-24955))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8939008 to the nearest integer?\nAnswer: 2990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -109, -274, -599, -1138?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -0.0795\nAnswer: 0.5795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-270))\/((-6)\/(-5)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220011100 (base 3) in base 12?\nAnswer: 66653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (1 - 1)\/(-2). Let z = -3 + u. Suppose z*m + 2*m + 25 = 5*k, 56 = 4*k + 4*m. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25367.\nAnswer: 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -29*u - 242. Is 25 a factor of q(-73)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.2957mm in micrometers?\nAnswer: 720295.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*q + 15680, -q + 12544 = 46*f - 42*f. Is f a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5 + 9*f - 13*f + 98*f**2 + f**3 - 2 - 90*f**2. Calculate the remainder when r(-3) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39688400, -39688399, -39688398, -39688397?\nAnswer: -39688396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0*z**2 - 26*z**3 + 25*z**3 + 4*z + 8 - 7*z**2. Suppose -29 = 3*o - 5*i, -2*o = 4*i + 7 + 5. What is the remainder when a(o) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 110 - 2 = 13 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - 8*z + 10117*z**3 + 10089*z**3 - 20169*z**3 to the form r + w*z + n*z**2 + x*z**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 6 + 6. Let u(p) be the second derivative of -5*p**4\/12 + 97*p. What is h(u(j))?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*h*t**2 + 6*f*h*t - 2*f*t - f + 80*h*t**2 + 2*h + 3*t**2 + t wrt t?\nAnswer: 6*f*h + 160*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (9 - (-1 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41364323 by -961.\nAnswer: 43043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - j - 31719 = 0, 5*o = 8*j - 9*j + 39642. List the prime factors of o.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, -1, 16 in decreasing order.\nAnswer: 16, 1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 w when three letters picked without replacement from {w: 2, c: 2, y: 2, u: 3, e: 1, a: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {a: 4, e: 8, v: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12854*x - 890 wrt x.\nAnswer: -12854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21460 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u = 16. Suppose 3*j - 8 = -3*m + 10, j = -u*m + 21. Let f(l) = -l**2 + 4*l - 2. Calculate f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 5, -142, -5 in descending order.\nAnswer: 9, 5, 4, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -31?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 5*a**3 + 0*a**2 + 2*a**2.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:23 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(48) - (sqrt(12) + -5*sqrt(12)*-2))\/((sqrt(484) - (1*sqrt(484) + sqrt(484))) + (sqrt(4) - sqrt(24)\/sqrt(6))*-5))**2 + -1.\nAnswer: 1202\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -10*o + 9*o + 55 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 13 (b) 0.11 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**5\/60 - 2*x**2 + 4. Let o(m) be the second derivative of f(m). Let g(a) = 22*a. Calculate g(o(w)).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 + 35*j**3 + 4*j**4 - 13*j**2 + 8603 - 8584 - 44*j**2 + j = 0. Calculate j.\nAnswer: -19, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n**2 - 4*n - 2. Let d be u(-6). Let j be (-3 - d)\/(3\/6). What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666859 bigger than 666854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950) - (1*sqrt(950)*5 - sqrt(950)))\/(sqrt(2) + sqrt(24)\/(-1*sqrt(12)) - 1*sqrt(8)\/sqrt(4)).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 9. Let w = 4.21 + -4.2. Let r = w + -0.11. Which is the biggest value? (a) r (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**3*j)\/j**(-2\/15)*(((j*j\/(j**(-3\/4)*j)*j)\/j)\/j)\/(j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(377\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19199 + -19197. What is the fourth smallest value in -2\/9, 0, f, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.151385?\nAnswer: 0.0151385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/36)\/((14\/6)\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -37. Let v(s) = 89*s - 126. Let g(t) = -18*t + 25. Let w(a) = 11*g(a) + 2*v(a). Let x(o) = 7*o - 8. Let h(b) = n*x(b) - 6*w(b). Determine h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -117*m - 86. Let f be c(-7). Let l = f + -713. What is the smallest common multiple of 184 and l?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 3*v**2 - 22*v**2)*(-3 + 3 - 2*v**2) + 16*v - 16*v + v**4 to w*v**2 + h*v + y*v**3 + x + g*v**4 and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 78*g**2 - 2. Let u(o) be the third derivative of o**5\/60 + 26*o**2. Determine b(u(w)).\nAnswer: 78*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = 16. Let n be 196\/21 + (-4)\/b. Suppose -2*t + 10 = -r + 5*r, 0 = -4*r + 2*t - n. Let c(m) = -m - 5. Determine c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 384 = -18*u. Is (0 - -2)\/(u\/(-18192)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 47) + 18 + 17\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + sqrt(65) + (sqrt(65) + -2*sqrt(65))*5) - sqrt(65))*-2*-3)\/(-3*(sqrt(120)\/sqrt(2))\/sqrt(12)*-5).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-16) - (-6215)\/904?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2. Let w(p) be the second derivative of -p**6\/144 - 3*p**4\/4 + 5*p. Let o(v) be the third derivative of w(v). What is g(o(a))?\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 49*u - 11. Let s = -8206 + 8212. Give a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/1 - -1*(-10)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**5 + 90*d**3 + 84*d**2 - 180*d + 6. Let i(z) = 6*z**5 - 183*z**3 - 168*z**2 + 360*z - 10. Let s(q) = -3*i(q) - 5*v(q). Solve s(m) = 0.\nAnswer: -5, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*k**2*u**3 - k**2*u**2 + k**2 + 2*k*u**3 - 34*k*u**2 - k*u + 9 wrt k.\nAnswer: -486*u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10317 = 2642*k + 45165 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 864 - -1886. Let g be f\/(-23452) - 4\/(-78)*3. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1037*t**2 - 3*t - 3. Let g(p) = 1031*p**2 - 4*p - 4. What is -4*b(q) + 3*g(q)?\nAnswer: -1055*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d5213 + 3?\nAnswer: -1d5210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 8. Let y be t(-4). Suppose a = 72 - y. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -43793.\nAnswer: -21896.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -902, -853, -784, -695?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1101924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14431385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 15*d**2 + 4*d - 69. Calculate o(-13).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104387, -104392, -104401, -104414?\n\"Answer: -2*q**2 + q - 104386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -989.228 + 986. What is q rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + a)*(-2*a - 1 + 1) - 4*a**2 + 2*a**2 + 0*a**2 + 10 + 14*a**2 - 10 + (-8*a + 5*a - 10*a)*(-a - 1 + 1) + 4 - 4 + a**2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/630 and 107\/22.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2 + 4812*c - 4815 = 0. What is c?\nAnswer: -1605, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(8\/5)*(o**(-6\/7)\/o)\/o**(2\/7))\/((o\/(o*o**(-3)))\/(o*o*o\/(o\/o**(1\/2))*o))**(-14\/9) assuming o is positive.\nAnswer: o**(-184\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017685 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 776464 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030965?\nAnswer: 3, 5, 13, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -8 - -3 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-1836)\/(-352))\/3. Let w = 3\/22 + k. Which is the closest to -1? (a) 0 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485388128 rounded to the nearest one hundred thousand?\nAnswer: 485400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0*l**5 - l**5 + (2*l + 1 - 1)*(2*l**4 - 2*l**4 + l**4) - l**5 + 4*l**4 - 4*l**4 - 5*l**5 - l**5 - 18*l**5.\nAnswer: -22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v + 1019 - 339 - 341 - 341.\nAnswer: 28*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76 and -35298382.\nAnswer: -35298458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 47*u = -52*u + 50, -7*u = 3*d - 64 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6016?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -18.3. What is the closest to -2\/5 in 2, b, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1213355392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -356 (c) -239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193199411.\nAnswer: 11887, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 + -4)) + -1 - (907 + -979)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63894 - 39900. Is q a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*v - 180 = 43, -4*v - 67 = -y. What is the biggest value in 1, -0.2, -3\/2, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.6 - -19.6226. Let r = -0.2484 - q. What is r rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*s - 6 + 4*s**2 - 250*s + 126*s to w*s**2 + f*s + m and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4292*j**3 - 2*j**2 - 2*j + 3. List the prime factors of v(-1).\nAnswer: 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660647 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxtuyfxjtxtyjy. Give prob of picking 1 u, 1 x, and 1 j.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -36*n**2 + 63*n - 2827. Let l(t) = -18*t**2 + 28*t - 1413. Let z(u) = 6*g(u) - 13*l(u). What is the first derivative of z(j) wrt j?\nAnswer: 36*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.02712 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -5*w + 564 - 504, -2*w - 5*o - 32 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, 4, -5 in descending order.\nAnswer: 4, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10364387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Suppose a = 2*r - r + u, -2*a + 4 = -r. What is the remainder when 18 is divided by -3*r\/12*22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-560)\/(-49) - 6\/14. Suppose -4*y + 7*j + 136 = 3*j, 4*y = -j + 116. Let o = y - 27. Solve o*k - m = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 13*r - 18. Let d = -605 + 593. Calculate a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 7*t**3\/3 + 56*t**2 + 4*t - 38. Let i be n(-16). Solve -5*x + 4*m = 28, -x + 2*x + 12 = i*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3364 - -3357. Which is the closest to q? (a) -1\/21 (b) 5 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 378, 558, 734?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*z = 6 + 10, 2*y = 5*z + 18. Let x be 0*(-3)\/(1 + 5). Suppose x*n = y*n - 8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 5 + 4 + 8 + 18*p to the form s + j*p and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 37*z = -14*o - 116, z + 25 = -3*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 778 - 742. What is the greatest common factor of n and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297018 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*c - 11*c - 19*c + 396 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(3)*-4)**2 + 3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2 + 3*m + 3. Let c(h) = -38*h**2 + 14*h + 14. Let v(d) = 3*c(d) - 14*q(d). Let j(u) = -8*u. Determine v(j(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**3 + 5*r**2 - r - 4. Let m(h) = 9*h**3 + 4*h**2 - h - 3. Calculate -4*d(x) + 5*m(x).\nAnswer: 13*x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w - 27. What is l(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -361 - -366. Suppose 2*o = 3*o + l*m - 6167, -m = -o + 6155. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9 = 3*g + z, 0 = -g + 2*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -779 + 0.5\nAnswer: -778.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1012100201?\nAnswer: -1012100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 314, 786, 1512, 2618, 4230, 6474, 9476?\n\"Answer: 21*n**3 + n**2 + 322*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + (66 - 67)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, -309, -389, -399, -321, -137, 171, 621?\n\"Answer: 3*h**3 + 8*h**2 - 177*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527*u = 492*u + 199465. What are the prime factors of u?\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -9.5. What is the smallest value in n, -2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 + -1 - 3 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) 2 (b) 2\/5 (c) 755 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*l + 730*l = 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22593.1 millilitres to litres.\nAnswer: 22.5931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/60 - (-4)\/30.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4))\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 714*b**2*z**2 + 2*b**2*z - 66*b*z**2 - 513*b*z + 3*z**2 + 701*z wrt z.\nAnswer: 1428*b**2 - 132*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -53. Suppose -w - 20 = -5*l - s*w, -4*w = -20. Suppose i - 5 = -l. Solve -g + i = -3*p, 4*g - g = p + 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 46752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 2131, -2\/25?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 32 = 8. Let c = q + 2. Suppose -r - 4*j + c = 0, -3*j = 2*r - 5 - 27. Solve -r = 3*w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, -4*n - 51 = -2*q - 3*q. Let h = -15 - -35. Let i = h - -79. Calculate the highest common divisor of q and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 803087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*x + 490, 756 = 3*o - 2*x + 5*x. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/11, 1382\/7, -1.2, 0.07?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 32*y = 20, 2*h + 2*y - 15 + 27 = 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -f - 5*l + 14, 0 = -2*f + 5*l - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y - 3. Suppose 321 = 166*f - 11. What is i(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 829719.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 - 148*b**3 + 1392*b**2 + 41472*b = 0. Calculate b.\nAnswer: -12, 0, 32, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 3*c**7\/7 - 3*c**6\/8 - 11*c**5\/3 - 95*c**4\/24 - 5*c**3\/3 - 46*c**2. Find y such that i(y) = 0.\nAnswer: -1, -1\/3, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 6)*4\/(-8) - 1. Let i(r) = -3*r - 6. Calculate i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197\/5 + 189\/5. Suppose 2*n + 5 = -3*w, -14*w + 9*w - 6 = n. Which is the nearest to -2\/7? (a) g (b) n (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 21883025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 254. Let s = -159 - -5. Let y = s - n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**11\/l)\/(l\/(l\/(l*l**(-27)*l*l))))\/(l\/l**(-1\/16))**(-7\/4))**(-2) assuming l is positive.\nAnswer: l**(-2295\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = -32*s + 330. Let m(n) = n**2 + n - 2. Let f(o) = 7*o**2 + 11*o - 6. Let q(l) = s*m(l) - 5*f(l). Factor q(g).\nAnswer: -5*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -s + 4*t + 107, -t + 519 = 5*s. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adbrv. Give prob of sequence bar.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -25. Suppose w*h = -h + 95. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j + 12. Let q = -4 - j. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8811019?\nAnswer: 7, 1258717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726\/(-847) - (-6)\/21*(-338)\/4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*p - 0 - 4, 5*r + 3*p + 6 = 0. Suppose u - f - 124 = 24, -4*f + 16 = r. Is u a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**5*o**2 - 12*n**4*o**2 + n**2*o - 178*o**2 wrt n?\nAnswer: -360*n**2*o**2 - 288*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201e4 (base 15) to base 3.\nAnswer: -12011111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.92 in -3\/7, 18\/13, -5.3, 5?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.609 - 4.919. Let b = -13 - -13.19. Let q = b - j. Round q to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 18*d**2 + 35*d + 30. Calculate y(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let n(k) = -3*k**2 - 5*k + 2 + 2 - 8 + 2. Let w(t) = -n(t) - 2*y(t). What is the second derivative of w(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -3 (c) -45 (d) 20 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**3)\/((v*v**(-6))\/v))\/(v\/(v**1\/v)*v)**18 assuming v is positive.\nAnswer: v**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -0*a + 4*a. Let s(n) = n**2 - 9*n + 23. Let m be s(11). Suppose 5*q - a = -i, 5*i + 3*q - 169 = -m. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 0. Let v = i - -7. Suppose v*g - 2 = g. What is the highest common divisor of g and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1118 - 666. Is q\/14 + 8\/(-28) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84680 and 6380?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 88\/(-60) + 9\/6. Let j(y) be the second derivative of 0*y**4 - v*y**6 - 5*y + 0*y**2 + 0 - 2\/3*y**3 + 3\/20*y**5. Factor j(z).\nAnswer: -z*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - j - 1. Let x be b(-2). Let m = x + 1. What are the prime factors of (0 - (m - -2)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335798.\nAnswer: 2, 167899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179706 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6453, 83.6, 4?\nAnswer: 6453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 336.79 to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 2, k: 1, u: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = j + 4*r - 15, 0 = -4*r + 4. Let z(p) = p**3 - 16*p**2 - 34*p - 14. Let n be z(18). Let d = n + 58. Calculate the remainder when d is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704 - 18*h + 127 - 30*h + h**2 + 50*h.\nAnswer: h**2 + 2*h + 831","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {w: 1, v: 1, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 211 - 69 = g, g = z - 152. Let a = z + -67. Round a to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -0.4, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 69803357?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.044063617 to 4 decimal places.\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361 and 931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 321743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let c(b) = 1909585*b - 54. Calculate c(d(q)).\nAnswer: -1909585*q**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-231))\/((28\/21)\/(2\/3)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -400*n + 1108. List the prime factors of x(-9).\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/20 - i**4\/12 - i**3\/2 - 27*i**2\/2 + 4*i - 122. Give b(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491328432 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76, 138, 264, 478, 804, 1266, 1888?\n\"Answer: 4*i**3 + 8*i**2 + 10*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-8)\/2)\/(-1). Let s(i) be the third derivative of u*i - 3*i**2 + 0 + 0*i**4 + 1\/480*i**6 - 1\/6*i**3 + 1\/80*i**5. Factor s(m).\nAnswer: (m - 1)*(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/14)\/((-2)\/(-4)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-21)*(-130608)\/(-36280)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-36)\/(-36)*-39?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 + 5.07. Suppose 100619 = 11*y + 100608. What is the closest to y in 0.05, p, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43*(-53)\/(-11395)*(-5)\/66\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 1:55 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*w**2 + 44*w**2 + 59 + 30*w**2 + 32*w**2 - 136*w**2 to the form a*w**2 + u + k*w and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-8) + 3 + -8)*-4. Suppose s + s = 44. Calculate the greatest common factor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1894545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8790911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 8\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16822 = 832*k - 206*k + 40770 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32022997 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-80397)\/(-6) - 10) + (-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let j(f) = f**2 - f - 8. Suppose 3*y - 5 = -8. What is y*j(a) - 6*r(a)?\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - l + 69, s + 4*l - 29 = -0. What is the remainder when 25 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -838?\nAnswer: -838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 + 5.85. Let y = 0 - d. Let h = -5.9 - y. Which is the nearest to h? (a) 3\/4 (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v - d = 0, 3*v = 4*d + 22. Let x(a) = -2*a - a + 0*a + 5*a - a**2 + v. Suppose r - 1 - 2 = 0. Determine x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -48, -5, -0.04, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 0 + (43 - 29) + -19.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -572 - -573. Let u be (-10)\/104 + (-3)\/(-12). Sort u, 3, -1, z.\nAnswer: -1, u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35729 smaller than -36495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 - 2*o - 5. Let u be t(-4). Factor -2 - 14*m + 7*m + 7*m + 5*m + m**4 - u*m**2 - m**3.\nAnswer: (m - 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 4) to base 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**3 + 3*j + 19. What is w(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - 21002002?\nAnswer: -21002123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1, f: 2, b: 1, a: 2}. Give prob of picking 1 b and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -87. Suppose -5*p + 19 = -0*l - l, p - w = l. Let a be 1\/l - (-156)\/48. Put 5, 8, a in increasing order.\nAnswer: a, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 414 = -66. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 4:57 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 3*a - 59 = 0, 0 = -5*c - a - 154. Let s = -28 - c. Solve -4*k + 3*i = 3, 0*k - 3*i = s*k - 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 + -182. Solve 6*c + y*c = 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/(a**(-6\/5)*a*a)*a**(6\/13)*a*a**(-2\/15) assuming a is positive.\nAnswer: a**(298\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:22 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 16 + 16)*(1 - 2 + 0)*(2*b - 2*b + 2*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdss when four letters picked without replacement from ssdjjsjs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 6*r + 3. Let d be c(6). Suppose 3*s + o - 19 = 0, 2*o + d*o = 20. Suppose s*i - 20 = 30. What is the highest common factor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3145, 6096, 14111, 29722, 55461, 93860, 147451?\n\"Answer: 422*h**3 - 3*h + 2726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 618*u - 2. Let h(l) = -17*l + 3*l - 18*l - 16*l + 33*l. Give n(h(y)).\nAnswer: -9270*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 795*x**4 + 881*x**4 - 4*x**3)*(6*x - 5*x - 9*x - x - 2*x + 5*x + 1 - 1 - x + 2*x - 2 + 2 + (2 + 2*x - 2)*(7 - 2 - 4) + 1 - 1 - 2*x).\nAnswer: -430*x**5 + 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 8*p - 10. Let q be b(7). Let c(d) = -2*d - 3. Let s be c(q). Solve s*g + 12 + 0 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19723, 19219, 18711, 18199, 17683?\n\"Answer: -2*k**2 - 498*k + 20223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 - 57*j + 32. Let x be w(9). Sort 45, x, 1, -4, -5 in increasing order.\nAnswer: -5, -4, 1, x, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*h = -23, -4*h = -f - 8*h - 27. Let v(b) = -b**2 - 18*b + 28. Give v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.62 and -70.29412599.\nAnswer: -68.67412599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 2. Let f(l) = l. Let k(z) = -12*z - 6. Let b(c) = -20*f(c) - 2*k(c). Let p(r) = b(r) + 3*h(r). Let i be 2\/6 - 22\/3. Determine p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x + 5*y - 11, 0 = 3*x - 3*y - 3. Suppose 0 = -o - 3*z + 112, -x*o = -0*z + 2*z - 220. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-6) - (-2)\/(-3). Suppose t*g - 149 = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2, -3*b - 2 = -5*z. Let d be (-9)\/12 + b - (-995)\/20. Suppose -6*y - d = -338. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 3*g**2 + 24*g - 41. Calculate t(6).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7 - 3. Let b be (-4)\/n + 3*1. Let x = 1 + b. Solve x*o + 7 + 3 = -c, 0 = -5*o + 3*c - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 282*v**3 + 13244*v**2 - 214656*v + 378560.\nAnswer: 2*(v - 52)**2*(v - 35)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -88821.737 rounded to the nearest ten?\nAnswer: -88820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 30*l + 2964. Let k be w(-98). Suppose -4*c + 8 = -0. Let n be -2 + c + (-36)\/(-3). Calculate the greatest common divisor of k and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*k - 52 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 100 = -10*p, -4*f = -p + 5 + 5 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/20 - 59*c**4\/4 + 116*c**3 - 592*c**2 + c. Find o such that s(o) = 0.\nAnswer: 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 0.5, -70, 0.2, -0.2, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -0*g + g, -2*g + 11 = -3*d. Let i = 5549 + -5545. Sort d, -5, -9, i in increasing order.\nAnswer: -9, -5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 105*r - 200*r + 92*r. Let h(g) = -4*g**2 + 4*g + 4. Let a(i) = i**2 + i + 1. Let j(y) = 4*a(y) - h(y). Give o(j(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 2 + 2 - 2 + 2 + (-1 + 1 - 1)*(-3 + 1 + 4) + 3 - 3 + 1 + (-1 + 0 + 0)*(-2 + 2 + 1))*(j - 4*j + 2*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117147989*w**3 - 117147987*w**3 + 234295979*w**3 + 5*w**2.\nAnswer: 3*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 t when four letters picked without replacement from {r: 5, t: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 60*b - 24*b + 9 - 4 + 20*b**2.\nAnswer: 20*b**2 + 36*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44477668?\nAnswer: 2, 109, 102013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26477343647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 - 8*h + 8. Suppose -3*m = -a, -m + 2*a = m + 4. Let k be m + -3*(-183)\/9. Let w = -55 + k. What is b(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + m. Let n(a) = -44*a**3 + 38*a**2 - 7*a - 10040. Let u(s) = n(s) + 8*o(s). Differentiate u(i) with respect to i.\nAnswer: -132*i**2 + 12*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 54 + 2*r + 60 - 169 + 8*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 393901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9030855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 7*k**2 - 9*k + 7. Determine f(5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 3)\/(2\/(-1)). Let v be ((-3)\/(-1))\/(7\/(-35)). Let q be v\/25*(-4)\/(-6). Which is the third smallest value? (a) -2 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13508933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 4, a: 8}. Give prob of picking 2 a and 1 j.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sapgyza. What is prob of sequence gp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:14 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 - -412?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v = -69*v + 15. Solve 0 = f + t - v, 2*t - 9 = 4*f - t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481591698 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)*l**(-8))\/((l*l**0\/l)\/l)**(-50)*((l*l**(-1\/2)\/l)\/l)\/(l\/((l*l**(1\/3))\/l*l))*l**(-8)\/l*l**(3\/7) assuming l is positive.\nAnswer: l**(-14183\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 2*a\/3 - 40\/3.\nAnswer: 2*(a - 4)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4430 (base 5) to base 14.\nAnswer: 31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - 2 - 110\/(-52) and (-32)\/272 - 1630\/(-272).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 v, and 1 y when four letters picked without replacement from {d: 1, j: 5, v: 5, y: 4}?\nAnswer: 40\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2364*v - 2365*v - 56*v**3 + 4729*v.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.85 - 11.29. Which is the third smallest value? (a) -2\/5 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 316*l + 957.\nAnswer: -(l - 3)*(l + 319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13c2de2a + -3?\nAnswer: -13c2de2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 100. Let q be -10*((-87)\/(-15)*p + 3). Calculate the greatest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/120 - 7*a**5\/30 + a**4\/2 - 21*a**3\/2 + 6*a**2. Let s be b(15). What is the highest common factor of 36 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**6\/270 + u**5\/270 - u**4\/54 - u**3\/27 + 2*u**2 - 3*u. Let w(l) be the first derivative of z(l). Factor w(n).\nAnswer: 2*(n - 1)*(n + 1)*(2*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(300) + sqrt(300) + sqrt(300))**2 + -3 - 1*(sqrt(300) + -2)).\nAnswer: -10*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2)*5*5).\nAnswer: sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**3 - 9*h**2 - 9*h + 15. Suppose 10*r - 12 = -22. Let v(o) = o**4 + o + 1. Let k(u) = r*c(u) + 3*v(u). Suppose k(m) = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 359, 355, 351, 347, 343, 339?\n\"Answer: -4*a + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 - -1177\/7. Which is the second smallest value? (a) -1\/10 (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -11. Suppose 4*y + 9 = -3, m*y + 23 = s. Let k = s + -6. Solve -x - 4 = -k*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80868 divided by 586?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -80. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 745.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hca when three letters picked without replacement from hccicpcdhcdahicccc.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56286 = -4*f - h + 56295, 2*h - 14 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -15 (c) -2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2908590 + -1?\nAnswer: a290858a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(-2 - 2 + 2) - 7 + 2 + 3)*((13*c**3 - 5*c**3 + 8*c**2 - 10*c**3)*(2 + 3 - 7) + 3*c**3 - 6*c**3 - 8*c**3).\nAnswer: -14*c**3 - 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 9 + 4)*(0 + 2*k + 0).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(0*b + 3*b + 2 - 2*b)*(64*b**4 + 2505*b**4 - 370*b**4).\nAnswer: 2199*b**5 + 4398*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 9:16 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21 and 373.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3281 + 55208*c**2 - 52337*c**2 + 1899 wrt c?\nAnswer: 5742*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 2*x)*(-1700 + 1700 - 42*x)*(1 - 6 + 3).\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3708 - -12324?\nAnswer: 8616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -152, -5, 212, 505, 880?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -1. Suppose -n = -o + 139. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*z - 4*y, 0 = -15*z - 644*y - 645*y + 1285*y - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9180 and 83470?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153557 a multiple of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1341, 5435, 12271, 21855, 34193, 49291?\nAnswer: 67155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 4.5 (b) -141 (c) 0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 6*w - 71. Let m = 86 + w. Find the common denominator of -40\/3 and -3 - m\/126 - (-2)\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v - 39\/40*v**5 + 507\/16*v**4 - 4*v**2 + 1\/80*v**6 + 0 - 2197\/4*v**3. Factor z(m).\nAnswer: 3*(m - 13)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 634, 1070, 1798, 2818, 4130, 5734?\n\"Answer: 146*w**2 - 2*w + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yadcmcytm. Give prob of picking 2 t, 1 m, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2065 = -5*x + 9530. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1387602834 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797479084 divided by 4.\nAnswer: -199369771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -517.65? (a) 1\/4 (b) -4\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 t, and 1 o when four letters picked without replacement from nzxxnnztnzxoxxnox?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11220202?\nAnswer: -11220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 19*y**3 + y**2 - 2. Determine a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 508478416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 122*r - 2925. What is the remainder when 8198 is divided by f(-23)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g*g)**(-1\/57)*(g\/(g*(g\/(g**(2\/5)*g))\/g*g))**(-2\/5)*g**(-3\/5)\/(g*g**3)*g**(-2\/13)\/((g*g**(2\/9)\/g)\/g) assuming g is positive.\nAnswer: g**(-230837\/55575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -85 (b) -0.3 (c) 0 (d) -0.57 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 486*k**2 - 12489*k\/2 - 10549.\nAnswer: -(k + 2)*(k + 11)*(k + 959)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -363, -722, -1217, -1842?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 34455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-198)\/(-24)))\/(6\/33)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + -32. Let g = -177 - -232. Let x = g + c. What is the highest common factor of 20 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 9\/2, 6, 0.1, -2\/13, -230.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 3, -0.7, -18.\nAnswer: -18, -5, -0.7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*a**3 - 6*a - 3 + 0 + 4*a + 3*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 14, v: 2}. What is prob of sequence vv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1900)*-3 - sqrt(1900))*4 - (-3 + sqrt(1900)*-2 + sqrt(1900)))**2.\nAnswer: -3600*sqrt(19) + 1710036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 3. Suppose g - 9 = -2*u, -c*g = 2*u - 3*g - 13. Find the first derivative of -1 + 3 - 3*r + u*r wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:36 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7268662ng?\nAnswer: 0.0000000007268662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w + 4. Let y(j) = j**2 + j + 1. Let s be y(2). What is the remainder when 24 is divided by w - -2*s - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, s: 5, h: 3, t: 7, k: 2}. What is prob of picking 1 k and 2 t?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 212660 to the nearest one thousand.\nAnswer: 213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + 0 - (-6 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10024 (base 7) to base 16.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftxf when four letters picked without replacement from {o: 2, t: 1, x: 1, j: 4, f: 3, e: 4}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -644*b**2 - 8535*b + 6709. What is z(-14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*h**2*j**2 + 3*h**2 + 11487*h*j**3 + 2996*h*j - 2*j**3 + 4*j wrt j.\nAnswer: -88*h**2 + 68922*h*j - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/11 - ((-4520)\/220 - -20). Let o(i) = 5*i**2 + 2*i + 2. Let b(t) = -5*t**2 - 2*t - 2. Give m*b(a) - 5*o(a).\nAnswer: -5*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:12 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 + 2*d**2)*(-5*d + 0*d - d) + d**3 + 4*d**2 - 4*d**2 + (-d - 2 + 2)*(-6 - d**2 + 6) + 0*d**3 - d**3 + 0*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -75.0066. Round p to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 13. Suppose 5*m = 3*o + 9, -m - 2*m + 7 = -o. Suppose -o*t = 2 + 4. Sort t, x, -2.\nAnswer: t, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 4. Let y be (-74)\/10 - (-2)\/5. Suppose 960 = 15*h - 585. Let u(s) = -105*s - h*s - 3 - 109*s + 426*s - 107*s. Give y*u(j) + 6*r(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 3.6719\nAnswer: -3.1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28797939 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*r + 38. Suppose -2*g + 5 = 3*g. Sort r, -2, g in descending order.\nAnswer: g, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114203030 + 30?\nAnswer: -114203000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -33, -69, -119, -183?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 33*o**2 + 2*o. What are the prime factors of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -126 + 91. Let r(s) = -s**2 - 7*s. Suppose -2*w = 3*w + 30. What is the least common multiple of k and r(w)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -57. Let k = 34 - 8. Let w = d - k. Calculate the greatest common factor of w and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 4, 14, -0.121, 2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + p**4 + 2*p**2 - 15 - 24 + 42 as b + s*p + c*p**3 + j*p**2 + x*p**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 10:23 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 119297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 25. Calculate the remainder when 44 is divided by r(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x - 2. Let q be d(-2). Suppose w - 2*i - i = 9, 3*i = -q*w + 18. Let a = w + -5. Solve -28 = -a*o + 5*b + 7, 2*b - 19 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -30*i**3 - 24*i**2 - 24. Let b(p) = 6*p**3 + 5*p**2 + 5. Calculate -24*b(v) - 5*w(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 3*l + 2. Let t be (-1)\/(-1) + -2 - -4. Let v be y(t). Solve 0*a + v*a**3 - 2*a - 5*a**4 + 3*a**4 + 2*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85736, -174208, -262682, -351158, -439636, -528116, -616598?\nAnswer: -705082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2, -38.\nAnswer: -38, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 - -0.21. Is i at least as big as -0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.8 - -14. Let y = -7 - m. Let n = y + -1.8. What is the third smallest value in 2\/25, -1, n?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 + 214. Suppose 5 = 3*t - c. Calculate the remainder when 97 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 3:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -152*t - 1096. Calculate g(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u - 3*p, 3*u - 8 = -5*p + 22. Put u, -3, -7 in decreasing order.\nAnswer: u, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3498.5 + 3498.31989. Let r = c - -0.18. Round r to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -32*p**3\/3 + 84. Let d(u) = 3*u**2. Determine y(d(h)).\nAnswer: -288*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24843 and 19110?\nAnswer: 248430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 305 in -83, 1.74, -0.04?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6751716 to the power of 1\/2, to the nearest integer?\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l - l**2 - 21*l + 23*l**3 - 26*l**3 - 2 + l**4 in the form t*l**4 + u*l**3 + j + b*l + i*l**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, u: 3, k: 6}. Give prob of picking 1 k and 1 x.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 - 2*h**2 - 6*h**2 - 5*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24358, -25327, -27952, -33061, -41482, -54043, -71572?\n\"Answer: -138*y**3 - 3*y - 24217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b**(-4))**(2\/47)\/(b\/(b*b\/(b\/(b*b**6))*b)*b**(-1\/2))**(-40) assuming b is positive.\nAnswer: b**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11b0a88 + e?\nAnswer: -11b0a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41372 and 0.0368?\nAnswer: 41371.9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/82, 101, 1 in ascending order.\nAnswer: 3\/82, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 884?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from ssssssspsspsspssps?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 9*v = 19*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 14*h**2 + 18*h + 4. What is the remainder when 213 is divided by v(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 21, 1\/4, 68, -0.3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.059665 + 0.25.\nAnswer: 2.309665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -170, -181, -194, -209, -226, -245, -266?\n\"Answer: -k**2 - 8*k - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 28, 1775 in increasing order.\nAnswer: 12, 28, 1775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 10:22 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/3 + (-102)\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/41, -1, 87\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 102*d - 70 + 10 - 71 + 18. List the prime factors of h(9).\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17926 + 17925.5. Sort 26, l, -2\/11 in descending order.\nAnswer: 26, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1728 - 71.7272. Let l = 72 + x. Let r = -6 + 1. Which is the second biggest value? (a) r (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1198, 1207, 1214, 1219?\n\"Answer: -c**2 + 12*c + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26759.1 take away -6.535414?\nAnswer: -26752.564586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-20)*(-3340)\/(-5845) - 139\/5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122021121102020 + -11?\nAnswer: -1122021121102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-185)\/20 + 10)\/((-450)\/40800)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 divided by -6?\nAnswer: 701\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)**4)**(1\/48) assuming r is positive.\nAnswer: r**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**3 + 2. Let p(h) = 77*h - 37*h - 39*h. Calculate g(p(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 + 27*u - 6. Let h(s) = -11*s**2 + 41*s - 9. Let d(g) = 8*f(g) - 5*h(g). Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:49 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(121)\/sqrt(44)) + sqrt(176)*3)**2 + (sqrt(110)*-2*-3)\/sqrt(10).\nAnswer: 6*sqrt(11) + 6875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -0.61 in descending order.\nAnswer: 2, -0.61, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + -2*sqrt(12))*-2)\/sqrt(6) + 4 - (-3*sqrt(12)\/(sqrt(36)\/sqrt(6)) + -4).\nAnswer: 5*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/6 + v**2 - 4*v. Let i be r(-5). Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)\/(h**(2\/15)*h))\/(h**(-2)\/h**(-1)))\/((h**1*h*h**(4\/7))\/(h*h*h**(-4)*h**(-2\/19))) assuming h is positive.\nAnswer: h**(-128738\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + -2 + 5. Suppose -36 = n + r + p*r, -3*r + 90 = -3*n. Let j = 65 + n. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjgmttb. What is prob of sequence gt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 1)\/(1\/(-95)). What is the remainder when p\/2 + 2\/(4\/6) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200656488 divided by 66885496?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -30, -47, -66?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 573690528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (306 + -282)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.68 - -0.18. Let g = a - -5.5. Let c be 6*(-2)\/56*2. What is the second smallest value in 3, g, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1732966\/221 or 7840?\nAnswer: 7840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(44) + sqrt(132)\/(sqrt(3) - sqrt(12)) + -2*sqrt(3564)))\/(5*-2*sqrt(144)*3).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 768 - 763. Put -1, 61, o in descending order.\nAnswer: 61, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.897703 millilitres in litres?\nAnswer: 0.007897703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88\/2032031 + -46283628167\/1341140460. Let k = -488\/15 - s. Calculate the common denominator of 69\/4 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 196*m + 2281. Give f(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4.921 (b) 2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.592365 years in decades?\nAnswer: 0.1592365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31d212 (base 15) to base 9\nAnswer: 4416238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b**5 + 232*b**4 + 20*b**3 - 1760*b**2 - 1072*b + 448 = 0. What is b?\nAnswer: -2, -1, 2\/7, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15062 times -655?\nAnswer: 9865610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 4*a)*(0 - 3 + 1 + (3 - 6 + 2)*(-3 + 2 + 0) + 2 - 5 + 8).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k)**33*k**8*k**(-22))**(-13\/5) assuming k is positive.\nAnswer: k**(1469\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7 = -4*u + 2*u, 8 = -2*u. Suppose -3*b - 3*s = -15, b - 1 - 8 = -a*s. Find the second derivative of 2*o - 2*o**b + 0*o - 3*o wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111063 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -10397\nAnswer: -5\/10397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.65639 minutes to nanoseconds.\nAnswer: 519383400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + 4*a)*(3*a - 3*a + a)*(673*a + 19925 - 19925).\nAnswer: 2692*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 31*m**2 - 176*m + 6775. What is o(29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2, -243\/13, -3 in decreasing order.\nAnswer: 2\/9, -2, -3, -243\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20 + 4 = 0. Let k be (m - 0)*(-1)\/18. Let v = -1.63 + 6.63. Sort 2, k, v in increasing order.\nAnswer: k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 3*b + 0*b)*(-2 + 6 - 2)*(-b**2 + 4*b - 4*b) to the form x*b + v*b**2 + t*b**3 + o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 11. Let f be c(4). Solve 5*y + o - 28 = 0, -4 = f*y - 3*o - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9282180 divided by 464109.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14084 + -6343. What is the remainder when b is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82651 - -83105.97. Let l = u + -455. Let k = -0.3 - -0.4. Which is the closest to 0? (a) -3 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 - (20 - (-12 - -16) - 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 482\/(-37) + 600\/(-360)*(2 + 196\/(-20))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1118610*z**3 - 2*z**2 - 5379044.\nAnswer: -3355830*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4712419 or 4712420?\nAnswer: 4712420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, 11, -4 in decreasing order.\nAnswer: 11, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -5799?\nAnswer: -578d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 264 = -0*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 1, -647, 5, -3 in descending order.\nAnswer: 143, 5, 1, -3, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/263 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.044, 3, -2\/17, -29, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -0.1 (c) 0.2 (d) 0.1 (e) -1 (f) 4 (g) -178\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 + 246. Solve 3*n + d*g = -5, -23 + 8 = -3*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5984624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8497631741151 from -86.\nAnswer: -8497631741237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20703 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5477 - -5472. Sort 1, 0, 6, u in increasing order.\nAnswer: u, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*w + 82, -r = -3*r + 4*w + 90. Suppose -4*a + 3*c + r = 4*c, -4*a - 5*c + 57 = 0. Solve -5*h + o = -9, -a = -0*h - 2*h - 4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -69. Suppose 10 = 4*o - 2*a + q*a, 0 = o - 2*a - 9. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/15)*k\/k**1)\/(((k\/k**21)\/k)\/((k\/(k**22\/k)*k)\/k)))**(-34) assuming k is positive.\nAnswer: k**(-442\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 56. What is the lowest common multiple of 47 and h?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097*a**2 - 1348*a**2 - 708*a**2.\nAnswer: -3153*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a - 48. Calculate z(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 3. Let s = 122 - 42. Suppose -18 = 2*y - 4*g - s, -y + 33 = -3*g. Suppose 5*o - 4*i + 10 = 0, o = 3*i - 8*i + y. What is l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 - 1217*z**2 + 955*z + 12170. Determine p(-305).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:33 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (33 + -65) - (-1 + (0 - (0 + 0))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -6, -39, 798 in descending order.\nAnswer: 798, -2, -3, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18062.\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 8:31 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 47*g**2 + 397*g - 986. Let d be p(37). Let w = -20 + 32. Solve w*c - d*c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -970000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204234 + 1?\nAnswer: -204233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r - 13. Let w = 13409 + -13407. Determine j(w).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1481*s**3 - 6*s**2 + 6*s. Let r(m) = 6214276*m**3 - 25177*m**2 + 25177*m. Calculate 25177*d(a) - 6*r(a).\nAnswer: 1481*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101110011 + 0?\nAnswer: 1101101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c + 13 - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -231810, -463633, -695454, -927273, -1159090, -1390905?\n\"Answer: n**2 - 231826*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + 0*h**2 + 3\/5*h**5 - 5\/2*h**3 + 0*h**4 + 18*h. Find the second derivative of f(n) wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -27. Let o = b + -9.4. Put o, -2\/7, 1\/8 in ascending order.\nAnswer: o, -2\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012959 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2407920 and 889?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-2))\/(9\/4). Let z be ((-2)\/9)\/((-5)\/(-15)). Let s = -3.5 + 3. What is the closest to 1 in q, s, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**7\/14 - 5*q**4\/6 + 23*q**3\/6 + 14*q. What is the second derivative of t(o) wrt o?\nAnswer: 60*o**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:05 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5462*m - 4811. Give h(1).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -0.2. Suppose -h + p = 5, -13 = -0*h - 3*h - 4*p. Which is the nearest to j? (a) 4 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3))**36)**(3\/8)*((n*n**1)\/n*n)**(-10\/9)\/(((n**7\/n)\/n)\/n*n**7) assuming n is positive.\nAnswer: n**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -397, 4, -10287?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.41, 0, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210 + 105. Let u = l - -105.3. Which is the second biggest value? (a) u (b) 16 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-1\/3)))\/(n*n**2*n))\/(n*n\/n**(21\/5)*((n\/(n\/n**(1\/15)))\/n)\/n))**(2\/25) assuming n is positive.\nAnswer: n**(14\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381441165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:07 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 211, 1828, 6273, 14962, 29311, 50736, 80653?\n\"Answer: 236*v**3 - 2*v**2 - 29*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let c be (0 - 2*p)*2. Suppose 2*o = -2*o + v - 9, c*v = -3*o - 2. Is o less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - 1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 14) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkekek. Give prob of picking 1 e and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 140, 258, 436, 680?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -1528?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1350 and 25540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) -0.42 (c) 0.2 (d) 0.003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8877*g**5 + 4*g**4*z - 233*g*z - 108*z wrt g.\nAnswer: 177540*g**3 + 48*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 31, 42, 55, 70?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 40 = 3*s, 15 = n - 3*n + 5*s. Let f = -29 - -26. Let b = f + n. What is the greatest common divisor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 39, 68, 113, 180, 275?\n\"Answer: m**3 - m**2 + 15*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/232 and 75\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 1\/9, 1, 0.05?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.08566 - 0.08566. Which is the smallest value? (a) -0.6 (b) 5 (c) -5 (d) v (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - (90 - (152 + -55)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*n - 754*n - 1253*n - 66748 = 302*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303517.\nAnswer: 257, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/419140 and -151\/880194?\nAnswer: 8801940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = 5*t + 49, -s + 46 = t. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3637 - 280040\/77. Calculate the common denominator of l and 129\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-8)\/(-4))\/(1\/(-7)). Which is smaller: h or -28\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 13 - 1) + (3251 - 3249) + -13 - 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9255724*n**3 + 2512*n**2 + 10*n + 7 wrt n.\nAnswer: 55534344","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. Let s(h) be the first derivative of -h**3\/3 + 6*h**2 + 5. What is the remainder when s(11) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.001 from -3.22.\nAnswer: -3.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*(-110)\/(-33). Let i be v*(2\/5 + 0). Let l = 3.1 + -0.1. Sort i, 0.2, l in increasing order.\nAnswer: 0.2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (sqrt(252) + -1 + sqrt(252) - sqrt(252)) + sqrt(252) + -2 + 5)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*r - 36. Solve -3*x + 2 = -9*d + 4*d, 0 = -4*d + r*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000722793994 to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16*((-11592)\/96)\/(-69)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-220)\/(-33)*(-18)\/(-15) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 + -177. Suppose d - 53 = h. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/15*(3 - 9). Let i(x) = -6*x + 26. Let q be i(d). Suppose -2*o + 5*g - g + 368 = 0, -5*o + 928 = -q*g. List the prime factors of o.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13864.681+1.602\nAnswer: -13863.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50001358\/195 - 256419. Let j = -7\/39 - t. Let u = 259\/51 + -304\/119. What is the common denominator of j and u?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -20 - 9 + 18*k - 10*k - 5*k. Let g be n(9). Let l be 6\/(-4)*(-32)\/312. Which is the third smallest value? (a) g (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58010.85t to kilograms.\nAnswer: 58010850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 13. Let x be y(-9). Let z(b) = -4*b**2 - 3*b. Let i be z(x). What is the remainder when 34 is divided by i\/(-6) - 4\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -922 + 916.19. Let f = 63 + -62.49. Let w = f + n. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4 + d**3 - d**2 + 4*d + 325. Let f(m) = 17*m**3 - 13*m**2 + 9*m - 17. Determine -6*f(i) - 26*z(i).\nAnswer: 2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2611 - -9549. Is s a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 15*h - 139*h**3.\nAnswer: -139*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-2) + -2)*88. What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -507 or -640?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*((3 + sqrt(891) + 3 - (5 + sqrt(891) + -1))*2)**2 + 4.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 6.47. Let h = 5.370000383 - r. Round h to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*o + 1, -2*o + 8 = -4*y - 7*o. Suppose y*u = -26 + 1205. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66751490?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 89*m + 140*m - 367*m + 2*m**2 + 138*m.\nAnswer: 2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 12. Let m be f(-3). Find the second derivative of -2*b**3 - 26*b**2 + 3 + 11*b**m - 8 + 27*b**2 + 2*b wrt b.\nAnswer: 54*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*0.835.\nAnswer: -0.2171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 3. Suppose 10 = j - 3*i, -t*i + 16 = -0*j + 3*j. Suppose 2*z - 24 = -0*z. Calculate the remainder when z is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/420 - w**6\/120 - w**5\/40 + w**4\/12 + w**3\/3 + 6*w**2 + 6*w. Let k(o) be the first derivative of h(o). Factor k(p).\nAnswer: (p - 2)**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*-2 - (-374)\/(-660)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - -3.4. Let c = 5 - -1. Let n = c - l. Put 3, 2\/7, n in ascending order.\nAnswer: n, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14521 + 15?\nAnswer: 14536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2)*3\/6. Suppose y*r = r. Suppose r*s + 5*s - 70 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 298*g**2 - 5*g + 5. List the prime factors of s(-2).\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1015 + 1019. Solve t*x - 11 = -k + 7, -2 = k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(5\/2 - 3). Suppose 5*f + 0*f = 20. What is the greatest common divisor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - 0) + -3 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 6*n + 9. Let y be s(-4). Put 3, y, -13 in descending order.\nAnswer: 3, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3 + 0) + 3. Suppose 0 = 5*n - 2*v - 309, v - q*v + 198 = 3*n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58665 is divided by 19554.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4514 and 92500?\nAnswer: 5642500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - 0.52. Let i = 1 + q. Let w = 1 + -1.1. Which is the nearest to -0.1? (a) w (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/(sqrt(27)\/sqrt(3)) - sqrt(18)) + sqrt(144)\/(sqrt(64)\/sqrt(8)))\/((sqrt(1620) + sqrt(1620)*-2)\/(-1*sqrt(10)\/sqrt(2))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(9\/1485). Let w = -46 - s. Calculate the lowest common multiple of w and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.123 - -0.153. Let m = -21.1 + 15.1. Which is the nearest to 0.2? (a) m (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, r: 2}. Give prob of picking 3 s and 1 r.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)\/p*p)\/p*p*p**(-3)*p**(-1)\/(p**0*p)*(p*p\/(p*p**0*p)*p**(-6))\/(((p**0*p)\/p*p)\/p)**(2\/25) assuming p is positive.\nAnswer: p**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62302993.\nAnswer: 383, 162671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14 + 42 = 0. Let w = 32 - c. Let b = w - -11. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 5}. What is prob of picking 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29248889353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let g be ((-2)\/1)\/(i\/6). Suppose -4*d + 1066 = -2*x + 1028, -5*d - 4*x + 80 = 0. Is g bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 3:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 5*x - 5. Let g(t) = 2*t**2 + 12*t - 12. Let b = 469 - 768. Let j = b + 311. Calculate j*u(y) - 5*g(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 15. Let s be h(6). Let f(b) = -2*b. Let g be f(11). Let q = -16 - g. Solve 0 = -s*j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 39*k = 38*k + 46372, 5*k = 3*t - 46384. Suppose -308*z + t = -306*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j**2 + 5*j**2 - 8*j**2)*(2*j - j**2 - 1 - 4*j - 1) to h*j**4 + c*j**2 + x*j + s + v*j**3 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84, -511, -1208, -2169, -3388, -4859?\n\"Answer: t**3 - 141*t**2 - 11*t + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddddddddzd. What is prob of picking 2 d?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2*3\/(-4)). Suppose 0 = j*l + l - 18. Let p be 7 + -2 + 1 + 0 + -2. What is the highest common factor of l and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.803789 millilitres?\nAnswer: 0.001803789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 16*i - 28. What is the smallest common multiple of u(13) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -1 (c) -0.00283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11692 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:37 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(-3*14\/70).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 31 = 3*z, 2*l = 3*z - 2*z + 13. Let f(s) = s**3 - 9*s**2 + 10*s - 12. Let t be f(l). Solve -2*b - 2 + 18 = -t*m, 0 = -3*b + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-45)*3108\/(-56))\/(4\/24*3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1890 and 43\/270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from bdjpbdppxd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36293 + -36295. Which is the fifth smallest value? (a) n (b) 0.2 (c) 3\/8 (d) -3 (e) 2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.065 * 147\nAnswer: -156.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*y**2 + y + 3*y + 56*y**2 - 4*y.\nAnswer: 298*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 - 23*q**2 - 8*q**2 + 32*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63458, -507470, -1712496, -4058996, -7927430, -13698258?\n\"Answer: -63410*g**3 - 47*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/9)\/((-2)\/9). Which is the second biggest value? (a) 5 (b) -5 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305900477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 0*g**2 + g - 4*g + g**2. Let w be z(-3). Sort 5, w, 0.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 12*v**2 - 19*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 2. Let d = 168 + -157. Suppose -d + 73 = 2*x. Calculate the remainder when x is divided by q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3740.604 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 42066?\nAnswer: 42066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + -3*sqrt(2268) - sqrt(378)\/sqrt(6)*2)**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = 7. Suppose 0 = 3*s - g + 212, -2*s + 0*g - 128 = 2*g. Let z = 122 + s. What is the remainder when z is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-15) - -1 - (-2)\/3. Suppose 4*s - 6 + u = 0. Solve c - 4 = -s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, b: 6, h: 5, f: 1}. Give prob of picking 3 b and 1 f.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d - 4 = 3*q, 0 = q + 2*d - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2409 and 408581?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897490.\nAnswer: 2, 5, 11, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16896 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -9*b**4\/2 - 30*b**2 + 13*b. Differentiate r(q) with respect to q.\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -917*z + 33940. What is u(37)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 7:02 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f**3 - 18*f - 493. Let j(y) = -8*y**3 + 10*y + 246. Determine -9*j(n) - 5*q(n).\nAnswer: 2*n**3 + 251","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5286 (b) 38 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2471530332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 4*q + 12. Calculate x(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 - 4*l - 7. Let i(b) = b + 13. Let y be i(-13). Suppose -12 = -2*z - y. Determine n(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - d - 21 = 0, -3*u + 3*d - 3 = -u. Let r(m) = -4*m - 34. Let g(a) = -5*a - 33. Let w(h) = u*r(h) + 5*g(h). Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 - 7*q**2 + 11*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 28*g**2 - 33*g - 26. Let j be t(-15). Let k = j - 916. Solve k*s - 19 = 5*o, o = -o - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)\/j)\/j)**(-25)*(j*j\/j**2*j)\/j**(-1\/10) assuming j is positive.\nAnswer: j**(318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12254170764968 minus 0.13?\nAnswer: -12254170764968.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 25. Does u = 7\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 plus -7?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50319 - 4850. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35392 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -8*r**3 + 0*r**2 + 1\/5*r**5 - 2\/15*r**6 + 8\/3*r**4 + 23*r + 2. Solve x(l) = 0 for l.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1759, -3519, -5277, -7033, -8787, -10539?\n\"Answer: i**2 - 1763*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((-1*sqrt(192)*2)\/sqrt(12))\/(1*sqrt(288) - 4*((sqrt(8) - (sqrt(8) + (sqrt(128) - sqrt(8)))) + sqrt(8)))).\nAnswer: 4*sqrt(2)\/7 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -1020, -5, -23, 4, 8 in decreasing order.\nAnswer: 8, 4, 2, -1, -5, -23, -1020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + c**3 - 31 + 2*c**3 + 12 in the form x*c + u + p*c**3 + f*c**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3429 and -1?\nAnswer: 3429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**23*n\/n**19 assuming n is positive.\nAnswer: n**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -4*m, -18 = 5*h + 2*m - 48. Suppose 0 = t + t - h. Solve k = -2*o + 14, t*k = -2*o + 11 + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 6) to base 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = -345. Suppose 6 = -117*s + k*s. Is s at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 12*h - h**2 + 12*h + (-4*h**2 + 20*h**2 - 3*h**2)*(-h - 1 + 1))*(50*h + 60*h - 4*h).\nAnswer: -954*h**4 - 106*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*n**2 + 118*n**2 - 61*n**2 + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2 - 133*d + 5. Let b(r) be the second derivative of -r**3\/6 - 828*r - 2. Determine b(w(j)).\nAnswer: 2*j + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11000210 (base 3) to base 5\nAnswer: -43222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f**2 + (-7*f + 19*f + f)*(-1 + f + 1))*(4*f - 2*f - 4*f) + (7*f**2 - 4*f**2 - f**2)*(0*f - 2*f + 0*f).\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 417*w - 6764. List the prime factors of b(79).\nAnswer: 47, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2928, -2927, -2926, -2925, -2924, -2923?\n\"Answer: v - 2929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - x + 14 = 0, 177*f + 3*x = 174*f + 51 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-7)*u*u)\/u*u**(-2\/23))**(-20) assuming u is positive.\nAnswer: u**(1880\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + -1. Let t = -11 - g. Solve 0 = -5*r + 4*r + t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n**2. Let x(f) = 5*f + 41. What is x(l(w))?\nAnswer: 75*w**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 585859 divided by -1\nAnswer: -585859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, i: 2, w: 4}. What is prob of picking 2 w, 1 i, and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -4 - -3) + -3 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 + 299. What is the lowest common multiple of ((-1 - -1)\/(-2))\/(-179 + 182) - -56 and c?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1912*h**5 - 608*h**4*q**3 + 1154*h**2*q**3 + 2*h*q**3 - 3*q**2 wrt h.\nAnswer: -114720*h**2 - 14592*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 32202778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39625987, -39625953, -39625897, -39625819, -39625719, -39625597?\n\"Answer: 11*y**2 + y - 39625999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*m + 10. Let v be (4\/(-30))\/(3\/m + 1). Which is the nearest to 3? (a) v (b) 1\/2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 0)*(6*j - 2*j + 2*j)*(-4 - 1 + 3).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1834974.026 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.224. Let o = p + 118.224. Let i = -118.122 + o. What is i rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-2 - (-1 + -1))) + -128 + 125 - 7\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 36. Suppose -k*t = -11*t + 7. Solve -o - t = -3*b, o - 5*o = 3*b - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20904922?\nAnswer: 2, 10452461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 4. Let r be y(0). Let k = 6 + r. Let b(t) = t**2 + 3*t - 2. What is b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/2453 and -26\/1115?\nAnswer: 12265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + t + 3 + t - 2*t**4 + 0*t**4 - 4*t - 11*t**2 in the form l*t**2 + n*t + a + y*t**4 + o*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67791259 and -21781.\nAnswer: -67813040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.449 - 3.449. Which is the nearest to y? (a) 5 (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 10*q**2 + 9*q**2 + 22*q**2 - 12*q**2 as y*q + v + u*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 2:18 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -5. Let o = -4 - z. Which is the third smallest value? (a) -0.1 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/384 and 35\/476576.\nAnswer: 5718912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1ed4 (base 15) to base 3\nAnswer: 100020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2694608473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2418 divided by 31?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320743983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24179 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: 142331 (base 5) to base 8\nAnswer: 13516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))**(-37))**(1\/25)*(a*a\/a**(6\/5)*a*a)\/a*a**5*a\/((a\/a**(2\/7))\/a)*a\/(a\/a**0) assuming a is positive.\nAnswer: a**(897\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 237, 251, 267, 285, 305?\n\"Answer: c**2 + 11*c + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/144 + 7*o**4\/12 + 5*o. Let l(u) be the third derivative of w(u). Let c(t) = 3*t**2. Determine l(c(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195898 is divided by 145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**2 - 169*q + 1. Determine n(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 7?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771896 is divided by 228?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let a(b) be the third derivative of b**7\/2520 - b**4\/4 - b**2. Let t(d) be the second derivative of a(d). What is t(f(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*l*w + 52*l + 166*w - 2 wrt l?\nAnswer: -13*w + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i + 25. Determine t(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/8, -13\/3, 2\/3, 4?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-3) + (-35700)\/1530\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/5))\/(f**(-4)\/f))**27\/((f**1)**(18\/5)\/((f*f\/f**(4\/5))\/(f**(-5)\/f))) assuming f is positive.\nAnswer: f**(882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 17. What is g(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lala. Give prob of picking 2 a and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from {j: 2, s: 7, i: 1}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62418482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*10\/(-2) + 10. Solve -w + 2*l = -0 - 2, o*l + 5 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*x - 14*x - 12. Suppose 2*s - 433 = -4*f + f, -640 = -x*s + 5*f. What is the remainder when s is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 278*v**2 - 93*v**2 - 93*v**2 - 89*v**2. Let a = 2 + 1. Let n(s) = a*s**2 - s**2 - s**2. What is n(u(b))?\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**6*w*w)**(2\/129)\/(w**(-7\/6)*w\/(w\/(w**(-12)\/w))))**(-4\/19) assuming w is positive.\nAnswer: w**(-7286\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by 37.\nAnswer: 311\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5091622.145 and 5.\nAnswer: -5091617.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7427.505 nanometers to micrometers.\nAnswer: 7.427505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by 217\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 5, f: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(54\/(-135))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - -33 - (-1 - -5). Suppose h - i = 8. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/14 - -68*4\/112. Sort 6, 3, 0, c in descending order.\nAnswer: 6, 3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 + (-168)\/77. Let w be (n\/3)\/(2\/(-6)). Solve w*v + v = -s + 10, 3*v + 6 = 3*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457248419 a multiple of 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10000648 divided by 178583.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.605 + -2.72. Let j = -102044 - -102044.114958. Let z = j + m. Round z to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r**2 - 8*r. Let g(c) = -23*c**2 - 7*c. Let q(v) = 7*v**2 - 244*v - 244. Let u be q(-1). What is u*g(b) - 6*w(b)?\nAnswer: -17*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-36) - (-68)\/(-18). Let j be (-15)\/(-20) - 1\/b. Solve 5 = 2*u - j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3))\/(((-18)\/(-168))\/((-22)\/44))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52.457 - 423.654. Let h = v + 371. What is h rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(190) + sqrt(190))\/sqrt(10) + (-1*sqrt(2736))**2*-6.\nAnswer: -16414 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(48)\/sqrt(8) + sqrt(6)))\/((sqrt(3) + 2*sqrt(3))*-5).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from lplpplppvppvllpp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 193*d**2 - 274*d - 1954. Give v(98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/89 and 6\/11.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.6 + 10. Let i = 9 + -8.6. Let d = i - h. Which is the third biggest value? (a) 2\/9 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12)*(-2)\/2584. Let q = c + -69775\/13566. Find the common denominator of q and -29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14915465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 15, z: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 143*i + 451. What is the hundreds digit of j(37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4 - 0, 0 = a - 4*m + 20. Let d(g) = -15*g**2 + 7*g + 4. Let h(p) = -16*p**2 + 6*p + 3. Let i(n) = a*h(n) + 3*d(n). Is 36 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1375595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*w - w + 10, -2*w - 2*b = -20. Suppose 15 = -7*o + w*o. Let -15*x + 3 - o*x**2 - 7 - 6 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2804845 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-24))\/((-2)\/6). Suppose 4 = -5*y - 4*a - 13, y - w*a = 11. Let d = -5 - -2. What is the smallest value in d, 2\/7, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/4 (b) -0.2 (c) 1138\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 38 + 2 = 0. Suppose -n + p = 2*n - 4*t, -3*t - 9 = 2*n. Suppose n = 10*x - 12*x - 10. Sort -2, x, 4 in descending order.\nAnswer: 4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 plus 0.014583177?\nAnswer: 2.314583177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -1, -509, -4, -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 191*r**2 - 109*r + 1231. Determine q(96).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.89315231 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 93948805 - 38\nAnswer: 93948767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*n + 395. Let o = -22 - n. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 34, 1, 31, 5, 2141\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/7*-2)\/2. Let f(q) = q**2 + q - 2. Let w be f(-2). Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = 4*j, 0*a = -a - 3. Let h(s) = s**3 + 15*s**2 + 16*s + 23. Let k be h(-14). Put j, k, -11 in descending order.\nAnswer: j, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)\/f)**(9\/7)*(f**1*f*f)\/f*f*f*f\/(f\/f**(-2)) assuming f is positive.\nAnswer: f**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11991259 or 11991250?\nAnswer: 11991250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-16\/7)*u**0*u*((u*u\/(u**(-2\/15)\/u)*u)\/u)\/u*u*((u\/u**(-6\/5))\/u)\/(u\/u**(-5\/7))*(u*u**(-2\/5))**(3\/8) assuming u is positive.\nAnswer: u**(3229\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6296 - 6418. Put -0.1, l, -3, -1 in descending order.\nAnswer: -0.1, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8744*w - 1285394. Determine v(147).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.69, -16239, 0?\nAnswer: -16239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*o + 4 = 0, -2*o = t + o + 2. Is t*(-31)\/(-2)*2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.7, 0, 3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14442.\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154489.\nAnswer: 19, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(12) + 1)**2) + 5)*6.\nAnswer: -48 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f + 3*v, -4*f + 68 = -5*v. Let y = 6 - 2. Solve p - 3*z = 12, -p = -y*p - 3*z - f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/414 and 93\/460?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-491982.\nAnswer: 147594.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*s + 42, -3*s + 41 = -5*c + 146. Solve -26*v = -c*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 132 = -3*c - 2*c, -x - 5*c = -58. Let m = x - 1. Let u = m + -16. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 and -73\/789?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*1 + 1 + -3)*6)**2 - (sqrt(1584) + -2 + 1 + (sqrt(1584) + 0)*1).\nAnswer: -1752*sqrt(11) + 57169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 26.43. Let m = 26.44 - 1.44. Let g = m + v. Round g to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 4*b = 36 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 316*c**3\/3 - 385*c**2\/2 + 4*c - 2806. What is the second derivative of j(w) wrt w?\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/5))\/w**5)**(-4\/19) assuming w is positive.\nAnswer: w**(88\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0 + 0*a**2 + 1\/36*a**4 - 1\/60*a**5 + a + 0*a**3. Suppose l(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -7*k + 8. Is k bigger than 1\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 6*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.2. Let g be 0 - (-8 - (-5 - -2)). Suppose 2*s + 0 = 2*d + 2, -14 = g*d - 2*s. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-21) + -1)*2\/(-3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.65 + 0.05. Let n = -19010 + 19009.95. Which is the nearest to z? (a) -1 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**5 - 56*h**3 + 1119*h wrt h?\nAnswer: -180*h**3 - 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*sqrt(76) + -2)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1708*w = -1704*w - 141888. What are the prime factors of w?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1403899, -1403898, -1403897, -1403896?\nAnswer: -1403895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 3:51 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddhddddddhhd.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -74\/5, -0.2 in decreasing order.\nAnswer: 0, -0.2, -1, -74\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22202201000221 (base 3) to base 15\nAnswer: -6206e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(117)*-3*-4)\/(sqrt(90)\/(5*sqrt(10)) + sqrt(9) + sqrt(1296) + 4*sqrt(1296) + sqrt(9)).\nAnswer: -1080*sqrt(13)\/311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28829493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 36 - 12. Let l(x) = -x**3 - 6*x**2 - 4*x + 8. Let i be l(-5). Suppose 9 = i*z - j. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 (base 12) in base 5?\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2267585319 by -3.\nAnswer: 755861773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15588\/10 + 1 + (2457\/135 - 18) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0*z**2 + 2*z**2 - z**2) + (16 - 127*z - 16)*(-192 - 43*z + 192).\nAnswer: 5463*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2436, -4870, -7304, -9738?\n\"Answer: -2434*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**3 + 664*g**2 - 26880*g - 56448 = 0.\nAnswer: -2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 + -2*50\/176. Let u be (-11)\/60*1*-3. Let k = u + w. What is the smallest value in 0.2, k, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1132 - -1139. Let d = 0 + -0.5. What is the fourth smallest value in -1\/4, d, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 - 7*h**2 - 7*h + 4. Let n(x) = 2*x**3 - 2*x**2 - 2*x + 1. What is -7*n(s) + 2*t(s)?\nAnswer: -4*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5761\/1044 + 43\/116. What is the common denominator of -10\/9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s - 2*q = -0*q + 86 - 206, 0 = 4*s + 2*q + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5\/2, -3, -1\/7, 0.4, 13\/33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 5*x**2 - 6*x - 5. Let a be (-1)\/2 + (-63)\/18. Determine o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 31*x + 10. Let a be q(5). Suppose a = 6*t - 3*t. Suppose -f + z + 195 = 3*f, f + z = t. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 - -5)) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 202 + -230 - (-33 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + sqrt(448)*2 + -2)**2)*-2.\nAnswer: -3666 + 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087) + (sqrt(3087)*-1 - sqrt(3087)) - sqrt(3087))**2 + 3 - (-3*(sqrt(7) - (sqrt(49)\/sqrt(7))**2) + (sqrt(252)*1)**2 + sqrt(252)).\nAnswer: -3*sqrt(7) + 12078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270115 to the power of 1\/2, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*y + 87*y - 590 = 3780 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - m**2 + 22*m + 1. Let y(g) = -95*g**3 - 2*g**2 + 27*g + 1832. Let w(a) = -2*h(a) + y(a). Find the first derivative of w(z) wrt z.\nAnswer: -279*z**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -74, -184, -326, -494?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.5, -6\/233, -1\/3, -0.4, 4\/159?\nAnswer: 4\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/9)\/(2\/(-3)). Is ((-798)\/(-9))\/(s\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 12*d + 14*d - 15*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:44 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**4\/4 - 10*c**3\/3 - 5*c**2 - 8*c - 5. Suppose 0 = -3*z + 9, -3*i - 9 - 33 = -5*z. What is the units digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - 35) + 41 - (0 + -1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:50 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -897309.\nAnswer: -2\/99701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 - 2090\/9. Suppose 0 = 34*l + 110 - 246. Let i = 62 + -433\/7. Which is the smallest value? (a) h (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m - 62. Let p be v(-8). Let k be 2\/8*136\/1683. Put k, 0, p in ascending order.\nAnswer: 0, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 123, 45 in descending order.\nAnswer: 123, 45, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:36 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322511.3777 - -322497. What is u rounded to 1 decimal place?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q*q**(-21))*q))*q)\/q**10 assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/18)\/(4\/1650). Let f = 2 + 1. Suppose 0 = -o - f*o + 100. What is the greatest common factor of k and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1111?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q - 133 + 68*q**2 + 19\/3*q**3. What is the first derivative of w(y) wrt y?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43951, 87853, 131755, 175657?\n\"Answer: 43902*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2363252t?\nAnswer: 236325.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 309*w**2 - 766*w - 2822. Determine i(157).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = 2*w. Let h(t) be the first derivative of -1 + 1\/8*t**w - 1\/6*t**3 - 1\/5*t**5 - 7\/16*t**4 + 0*t. Factor h(f).\nAnswer: -f*(f + 1)**2*(4*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 3:29 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*y + 61972, -9*s - 4*y + 77471 = -4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 4, u: 2, m: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -132*z. Let p(h) = h**2 - h + 4. Let k(m) = 40*m**2 - 44*m + 176. Let b(x) = 2*k(x) - 88*p(x). Give f(b(i)).\nAnswer: 1056*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*l**3*m*s - 4*l**3*m + 2*l**3 + 2*l**2*m + l*m*s + 8*m*s**2 + 2*m*s wrt s.\nAnswer: -5*l**3*m + l*m + 16*m*s + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 5*h - 3*h)*(-2 + 2 + 4*h**2) - 7*h**3 + 0*h**3 + 4*h**3 as p*h**3 + c*h**2 + t*h + g and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 21012?\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 1273230 = 56*r + 54*r. What are the prime factors of r?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 21. Suppose -t + d + 10 = r, -r = -t - 10. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from xcxkgggcgcgxccc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:11 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33162 and 0.3?\nAnswer: 33162.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -13, 8, 41, 86, 143, 212?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:07 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, -1.49, -18?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (3 - (18 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllllulllull. Give prob of picking 2 l.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4622376s?\nAnswer: 0.00770396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.857 + 0.5?\nAnswer: -2.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 112.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.53 + 1.37. Let p = z + 90.1. Let x = -97.0032 + p. Round x to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396769 is divided by 396364.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*n = -16, 0 = 3*o + 4*n - 2 + 1. Let j(u) = 35 - 34 + 0*u + 2*u - u**o + 5*u**2. Calculate the least common multiple of 4 and j(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + g)*(0*g**2 + 3*g**2 - 2*g**2) + 4*g**3 - 12*g**2 - 7*g**3 + 6*g**3.\nAnswer: 5*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 2*i = 17*o - 2, 5*i + 23 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - y**2 + 2*y + 1. Let w be n(-2). Let v = -148 + 147. Find the common denominator of (2 - 5) + v + w\/7 and 38\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 2. Suppose -b*y + u + 1 = 0, -6*y + u + 10 = -y. Suppose -51 - y = -2*r. Calculate the highest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 12 - 23 = 0. Calculate the remainder when a\/(55\/2) + 3291\/11 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 4*c**2 - 2*c**2)*(-6*c + 6*c**2 + 6*c)*(0*c - c + 0*c) - 23*c**5 + 75*c**2 - 75*c**2.\nAnswer: -35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14829 + -14770. Calculate the remainder when 373 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 12*y + 20. Calculate g(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23735832 and 1302.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1 (b) 0 (c) 49 (d) 3 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1\/4)*g)\/g)\/((g**(-5)\/g*g)\/g)*(g*g**5\/g*g*g*g)\/g**(-5\/4))**(-24))**(-40) assuming g is positive.\nAnswer: g**14400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, 0, 29 in decreasing order.\nAnswer: 29, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 198*o + 24. Let f(u) = 98*u + 11. What is 13*f(t) - 6*h(t)?\nAnswer: 86*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 88*l**2 - 164*l + 80.\nAnswer: -4*(l - 20)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*v**2 - 163*v**2 - 432*v**2.\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 13 = l - 3*m, 15 = -3*m. Let b be ((-4)\/32*-6)\/(2\/8). Suppose b*h = 7*h + h. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23115 by -23.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160324 + 160324.090009. Let h = -0.07 + 0.16. Let s = z - h. What is s rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1. Let r(x) = -3*x + 18. Let m(n) = -r(n) - 18*s(n). Let g(p) = -4*p**2 + 1424 - 2845 + 1407. What is m(g(i))?\nAnswer: -12*i**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21423 and 0.077?\nAnswer: -1649.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 9*x**2 + 6*x - 7. Suppose 25 + 17 = -3*i. Let j = 6 + i. What is the remainder when f(j) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 27 - 3 = 0. Let a(j) = 2*j - j - i*j. Let t be a(-10). Calculate the greatest common divisor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 + 5*m - 23. Let l be j(-8). Put 3, l, -5, 12 in decreasing order.\nAnswer: 12, 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*y + 3*y. Let n(v) = 2*v + 0 + 0 + 1 + 2. What is n(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3041165*a**2 + 5215825 wrt a?\nAnswer: 6082330*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 31*z = 4*c - 4, -4*c - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0356 - 0.2644. What is the second smallest value in i, 1\/8, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:27 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -81, -5, -8, 0, -569 in descending order.\nAnswer: 1, 0, -5, -8, -81, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396004?\nAnswer: 2, 7, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*-6643473\nAnswer: 19930419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*6090.16.\nAnswer: 48721.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - t**3 - 4*t**2 + 7*t**2 + 4 + t - 4*t**2. Let k = 851 + -853. Give g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p**2 + 13. Let r(g) = 5*g**2 - 6. Suppose -4 = 4*b - 12. Let m(j) = 4*j**2 - j - 1. Let l be m(b). What is l*r(u) + 6*z(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.02, -5, -1561, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 311*h**2. Let v(d) be the third derivative of -d**5\/12 + 775*d**2 - 3*d. Give v(p(c)).\nAnswer: -483605*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let x(g) = -g**o - 1 + 0*g + 2*g**2 - 2*g + 5*g**2. Determine x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.738508 - -0.261492. Let q = 2 + -2.2. Let p = q + 0.2. What is the closest to 0.2 in p, m, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/21704618 and 51\/20.\nAnswer: 217046180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 plus -28.5928?\nAnswer: -371.5928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*d**3 + 28*d**3 + 2*d**2 - 4*d**2 + 6*d**3 - 5*d**3 + 3*d**3 + (5*d - 2*d - 2*d)*(-2 + 2 + d**2) to a*d**2 + o*d**3 + j*d + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2\/3*a**3 + 0*a + 8 - 2\/5*a**5 - a**2 + 1\/2*a**4. Let v(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 = g, -2*s = s + 3*g + 9. Let w be ((-6)\/4)\/1*s. Suppose 0 = -o + 4*u + 107, 0*o - o + 109 = -w*u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 83e?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 370*d + 5895. Calculate w(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:35 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v**3 - 1 + 2 + 2*v - 2 - 5*v + 0 in the form m*v**3 + x*v**2 + u + w*v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3660351 > -3660326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -1405, -2052, -2645, -3166, -3597?\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13016\/11 - 1406399\/1188. Find the common denominator of y and 2 - (387\/54 + 4).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 297595 to the power of 1\/2, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*t + 34*t - 39*t in the form g + i*t and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2943.804 litres?\nAnswer: 2943804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x - 3*x**2 - 18*x)*((-4 + 2 + 3)*(2 + 0 + 0) - 2 + 3 - 4)*((4 + 2 - 5)*(5 + 2 - 5) - 2 + 0 + 1).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.06, -0.5, 0 in decreasing order.\nAnswer: 0, -0.06, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8631 + 8630. Let t = -11 - -12. Let o(i) = 2*i**2 - 3*i - 3. Let z be o(3). Put x, t, z in increasing order.\nAnswer: x, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6401 + 11584. What are the prime factors of r?\nAnswer: 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*3.677\nAnswer: -161.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*o + 12 = -3*o, -2*w + o = 8. Let z = 145.7 - 146. What is the closest to -1 in -2\/13, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2344*i**3 + 10*i**2 + 5074. Let h(m) = 786*m**3 + 3*m**2 + 1691. Let k(v) = 3*a(v) - 10*h(v). Find the first derivative of k(c) wrt c.\nAnswer: -2484*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 7 - (-5 - (-4 - -1)) - (13 + -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:14 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/371033 or 0?\nAnswer: -3\/371033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920985393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 182, 305, 454?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r**3 + 2*r + 1. Let q be f(-1). Suppose 2*g - q = -3*g. Find the second derivative of 3*w - 2*w**2 + 0*w**g - 2*w wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeejneneenezeeze. What is prob of picking 2 j and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:38 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/10 - 56*r**2. Let s(k) = -2*k**2 - k. Let j(o) = 4*s(o) - 2*u(o). Find l such that j(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -6, 0 = 4*q - 1375*h + 1377*h - 34 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 31 + -4 + (53 - -7 - 6) - 11.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6636, -8177, -9702, -11205, -12680, -14121, -15522, -16877?\nAnswer: -18180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 divided by 3?\nAnswer: -259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let s(q) = 2*q + 3. Let c(u) = -u**3 - 9*u**2 + 10*u + 4. Let f be c(-10). Suppose f*p = 4*x - 16, -14 = -5*x - 4*p + 6. Determine x*m(d) - s(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8 and 2\/9 - (-497)\/72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i + 3. Suppose 4*m - 7 = 9. Let d = i + m. Solve x + 6 = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 2, u: 1, z: 5}. What is prob of picking 2 z and 1 u?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r*r**12)\/((r*r**11)\/((r*r*r**(2\/21)*r*r)\/r)) assuming r is positive.\nAnswer: r**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1086 by 4.\nAnswer: -543\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*4*-3. Let w(d) = -d**3 - 3*d**2 - 2*d - 2. Let c be w(-3). Let t = c - 6. Put -3, a, t in decreasing order.\nAnswer: a, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -2\/11, -166, 0.5, 1\/3?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 6) + -1 + -2. Let x = 12 + r. Let t(d) = -1 - 34*d + 21*d + 2*d**2 + 16*d. What is t(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1061*a + 7 = 1062*a, -u = 3*a - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.8472 - 8.787373. Let o = 0.000987 - s. Let p = o - 0.94. What is p rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 143? (a) -100\/3 (b) -2\/11 (c) 3 (d) -0.063 (e) -1 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((sqrt(4)*-1 - sqrt(4))*4).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 10. Let d be k(9). Let n = -14 + d. Suppose 0 = -2*g - 2*g - 4*q + 24, -5*q + 26 = 3*g. Is n at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**3 + 2*c**3 + 2*c**2 - 4*c**3 - 2*c**3 - 1 + 1 + (-3*c - 3*c + 5*c)*(0*c**2 + 2*c**2 - c**2) - 2*c**2 + 2*c**3 + 2*c**2.\nAnswer: -9*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4830906 is divided by 86266?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 9, c: 1, y: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 11:05 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*j = -12, 4*k + 5 = 3*j - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*(-2 + -16). What is the common denominator of ((-18)\/7)\/((-20)\/28) and (-58)\/(-10) - (5 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 124*d - 36 = 12*l - 119*d, 0 = 3*l + 5*d + 37 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1169 + 9.2469. What is n rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 86. Let u(y) = y**3 + y**2 - 9*y - 4. Let l be u(t). Which is the second smallest value? (a) -0.4 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 9, -1, -2, -9, 2, -3 in ascending order.\nAnswer: -9, -3, -2, -1, 2, 9, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**3 - 6*w**2 - 4*w. Let d = -7 + 1. Let b(v) = 20*v**3 - 17*v**2 - 11*v. Let o(t) = d*b(t) + 17*g(t). Find the second derivative of o(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) 0.4 (c) -9 (d) 8 (e) 18\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21365427779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95.9 in -0.16, -4, 4, 0.2, -1\/6, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 + 10*i + 5. Let t(n) = -n - 1. Let v(c) = -a(c) - 2*t(c). Calculate the remainder when 25 is divided by v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 22*d. Let r be u(1). Suppose 53 - 15 = -3*p + 5*a, r = -2*p + 4*a. Let h = p - -45. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 - 3. Let b be o(0). Let f = -11.9 + 2.2. Let y = -10 - f. What is the biggest value in b, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.934 + -13.934. What is the third biggest value in -3, 0.5, 1\/4, -76, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366756.\nAnswer: 2, 3, 13, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 1\/4*y**5 - 8*y**2 + 0*y + 0*y**3 + 7\/12*y**4. What is the second derivative of w(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4563\/11 + -415. Put 6, c, 1 in ascending order.\nAnswer: c, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4950 + -4945. Let u be (1 - -1) + -4 - -14. What is the second smallest value in -1\/6, u, -0.4, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/24 - (-7)\/(-28). Let k be (-24)\/(-2) + 920\/(-92). Find o such that 1\/6 + 1\/3*o + w*o**k = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -29, -39, -71, -131, -225?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:54 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*l**4 - 1786*l**3 + 30821*l wrt l?\nAnswer: -96*l**2 - 10716*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64 - 112?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9))**28*n*n**(-6)*n*n*n**(8\/7))**39 assuming n is positive.\nAnswer: n**(-69303\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(10 + 528\/(-55)). Let n = -88\/39 + 7\/3. Is t equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 18 - 16*f**4 + 9*f + 12*f**4 to the form b + i*f + j*f**2 + h*f**4 + g*f**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r - 5*q + 16 = 0, 5*q = r - 66. Let w = 430 - 221. Suppose 5*n - w = r. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - w = -3*b + 23, 3*w = 6. Suppose 2*a = -5*m + b, 5 = 4*a + 3*m - 10. Suppose a = d - 2*d + 9. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/828530228 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(360))\/(sqrt(9)*2*-6))**2.\nAnswer: 1\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 268*y**2 + 7*y - 7. Let m(d) = -179*d**2 - 4*d + 5. Give 5*l(v) + 7*m(v).\nAnswer: 87*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - -3)*(-6)\/10. Let d be (159\/(-6))\/((-1)\/4). Suppose t*r + k = -k + d, 0 = -2*r + k + 59. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9413, 75348, 254319, 602846, 1177449?\n\"Answer: 9420*w**3 - 2*w**2 + w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -21 (b) 6.7 (c) -0.3 (d) 0.26 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139121*q + 18 = -139112*q - 2*j, -q + 8*j + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Suppose 0 = -4*q + 23 - 15. Let g(p) be the third derivative of -1\/24*p**4 + 0*p + 0*p**3 + 5*p**q + 0. What is n(g(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152300.\nAnswer: 2, 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 427674 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -20. Let g be y\/3 - (-14)\/6. Solve d - 10 = -g*i, 10 = 3*d + 5*i - 4*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810162624?\nAnswer: 2, 757, 37363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352 + 322.4. Let g = 30 + c. Put 1, g, 0.5 in ascending order.\nAnswer: g, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 72*s - 68. Let c(y) = -146*y + 137. Let v be -1*(8\/(-28) - 138\/(-42)). Let x(n) = v*c(n) - 5*d(n). What is the first derivative of x(k) wrt k?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1359*b + 4466*b = 1797*b + 169176 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -60*9\/(-243) + -2. Put -8, 4, c, -2 in descending order.\nAnswer: 4, c, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338 (base 9) to base 13.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 + 4789*m**3 + m**2 + 1593*m.\nAnswer: -12*m**2 + 28734*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074, 3817, 8228, 14307, 22054, 31469?\nAnswer: 42552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 34*r**2 + 74*r - 11. What is v(-19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9238 and 569478?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 11:40 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 131713 = -61823. Does 76 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(0 - (-3)\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 242\/308 + (4 - 148\/28). Which is the nearest to -0.2? (a) m (b) -3 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1237 - 1233. Solve -3*k - x - 5 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 4*t + 0*t - 602 + 59 - 85 as i + b*t and give i.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -413 - -794450.\nAnswer: 794037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 273, 69, -5 in decreasing order.\nAnswer: 273, 69, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 450\/13 - 4555\/156. Calculate the common denominator of -89\/22 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h - 4*h**3)*(-233*h + 171*h + 174*h) + 4*h**4 - 9*h**4 - 16*h**4 in the form a + x*h + o*h**2 + i*h**4 + j*h**3 and give i.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 751881*o**3*r + 120199*o**2*r - 4*o**2 - 3*r wrt o.\nAnswer: 4511286*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 12*i - 45. What is q(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -130*p + 13 - 5\/2*p**4 + 0*p**3 + 3\/2*p**2. Find the first derivative of d(b) wrt b.\nAnswer: -30*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-5)\/(15\/(-18)). Suppose 2*d + 4*j = 2*j + l, 2*d + 4*j - 2 = 0. Let v(t) = 8*t + 1. Does 7 divide v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 51\/208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d**3 + 38*d**3 - 56*d**3 - 1.\nAnswer: 31*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3409, -13828, -31197, -55516, -86785, -125004?\nAnswer: -170173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24931 in 5, -1\/2, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68980 rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 594.\nAnswer: 118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:35 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0, -2 in increasing order.\nAnswer: -2, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((-216)\/(-135))*(1 + -2). Let r be 10\/(-6)*(-2)\/5. Sort -0.1, -1\/3, i, r in ascending order.\nAnswer: i, -1\/3, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619*b + 13054 - 6510 + 11377 + 3126 = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -387 and -1.6876622.\nAnswer: -388.6876622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 22 = 6*b + 18, 5*b + 23 + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1431 divided by -477.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39696347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37700052 is divided by 2157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5868 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) 2\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/24 - 25*n**2 + 1. Let v(x) = 6*x + 0*x - x. Calculate v(d(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, -55, 10 in decreasing order.\nAnswer: 10, -55, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02511 - -0.12511. Do 185 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-54) + 4\/(-18). Solve p*y + 1 = 2*h - 1, -5*y - 4*h = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (369\/(-27) + 14)*1*24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*k - 1 = 0, -5*n - 23 = 763*k - 767*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five eighths of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 269, 402, 537, 674, 813?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9179254 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (2 - (0 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - (-1 + sqrt(208) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -k + 10*m - 5*m, 3*k + 2*m - 1187 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/30 + 2*(-506)\/(-165). Suppose -5*q + 14 = -2*a, a = q - 0 - 1. Solve -a*f + 2*v - 17 = 3*v, -2*v - t = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 281. Let y = 1802\/15 - s. What is the closest to -1 in y, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/(-186)*(-1)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/((-22)\/1)*(25\/2)\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 200? (a) -772 (b) -0.08 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 3*z**2 + 11*z - 40. Calculate r(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*j**4*u**3 - 4*j**4*u**2 + 2*j**3*u + 224*j**2*u + j*u**3 wrt j.\nAnswer: 1944*j*u**3 - 96*j*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b - 27 + b + 26 + (3*b + b - 2*b)*(-2 - 3 + 4) - 4 + 4 - 2*b.\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 18*h + 5 + 24. Let w(i) = 4*i**2 + 2*i + 3. Let c(v) = -3*v**2 - 2*v - 3. Let t(k) = -3*c(k) - 2*w(k). Determine t(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1066, 2224, 3374, 4510, 5626, 6716, 7774?\nAnswer: 8794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j - 7. Let u be i(-2). Suppose -4*t + y = 2*y - 23, y = -5*t + 29. Suppose 2*a + t = u*a. Solve -a*v = -10 + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -16.01, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3050772 divided by 254231.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(((-1248)\/39)\/32).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 17773152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbr. What is prob of picking 1 r and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 8. Let l be c(12). Suppose -a - a - l = 0. What is the third biggest value in 4, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1 + (-1 - 11)). Let s = o + -7. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -617 + 633 - 6*g + 11*g. Let r be (6\/8)\/(1\/(-4)). Let q be z(r). Solve -15 = 3*f - 5*s - q, 3*s - 12 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439819249 times -0.3?\nAnswer: -131945774.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 3*z**2 - 3*z - 3. What is the remainder when 15 is divided by d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26915220 and 3.\nAnswer: -80745660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167596*j**4 - 16*j**3 + j - 1487180 wrt j.\nAnswer: -2011152*j**2 - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.082589108 + -4993.\nAnswer: -4977.917410892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12508 = -i, -12473 = -33*i + 32*i + k. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259.2 + 258.6. What is the nearest to b in 8, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 43. Let g(j) = -1615*j - 87. Determine 2*d(y) + g(y).\nAnswer: -1617*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u + 6. Determine l(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 13. Let b(x) = 6*x**2 + 18*x**2 - 20*x**2. Calculate o(b(t)).\nAnswer: -12*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 553587 - 553587.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101857 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1627, -1637, -1645, -1651, -1655, -1657, -1657?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3897505, 3897506, 3897505, 3897502, 3897497?\n\"Answer: -c**2 + 4*c + 3897502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 2. Suppose v = -2 + 14. Let o = 6 - v. Suppose -m - 3*s = m + 17, -3*s + 9 = 0. Let d(p) = 2*p - 1. What is m*d(b) + o*g(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87883193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -20*x - 136 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*d = -0*d - 38, 4*t - 4*d = 144. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -50*a**3 + 4345530*a**2 + 1738218*a + 173822 = 0.\nAnswer: -1\/5, 86911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 2*t**2 + t + 4. Let r be m(3). Let v = r - -7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let f(v) = -v**2 - 2 - 4*v**2 + 1 + z*v**2. Determine f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 6. Let f be h(-3). Suppose 2*q = -r + 2, 6 = 2*q + f*q + 2*r. What is the units digit of (10\/8)\/(q\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*k = s - 9, -5*s = 2*k + 11. Is 3 - (s - 2 - 329) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - x**3 - 4*x**3 + 0*x**3 + 2 wrt x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 1\/7 (c) -3\/2 (d) 1\/26 (e) 2.7 (f) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, 49, -2, 5 in descending order.\nAnswer: 49, 5, 3, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -128a5 (base 13) in base 15?\nAnswer: -a312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5920 = -226*v + 225*v, 4*y + 5*v = 11812. List the prime factors of y.\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 7731 + 1709 = -1129*q - 6250 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5 and 119\/363010.\nAnswer: 363010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106716426 to the nearest integer?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3195 - 619. Suppose a = -0*a + d. Suppose -4*n - 380 = 5*c, 5*n + 124 = -2*c - a. Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*r + 192*r - 119*r + 1382*r + 709*r to the form p*r + g and give p.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1234152*f**3 - 15*f**2 - f - 4036?\nAnswer: 7404912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.276 - 0.276. Which is the second smallest value? (a) -0.3 (b) m (c) -0.2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let c(x) = x**2 - 6. Let b be c(-3). Let v(s) = -b*s + s + 0*s. Calculate v(q(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -15. Let m(f) = -f**2 - 7*f - 1. Let w be m(r). Let n = 4.9 + -5.2. Sort n, 0.4, w in ascending order.\nAnswer: w, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 561, 558, 555?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4850 = -5*r, 9*q - 5*q = -20. What is the common denominator of 3\/(-26)*3956\/r and ((-20)\/21 + 0)*-6?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3059271558 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1086 and 522.\nAnswer: 94482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 + 2661*v**2\/7 - 624360*v\/7 + 14976900\/7.\nAnswer: -3*(v - 430)**2*(v - 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - t + 4*t = 8, 0 = 5*k + 2*t - 14. Suppose k*w = 3*w. Suppose -4*p = -w*p - 28. What is the highest common factor of 35 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36746335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 228446?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/8) + (28 - 29). Suppose -h*m - 4*z + 146 = 0, -3*m + 174 = -4*z + z. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 14, o: 5}. Give prob of picking 2 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/7 (b) -0.2 (c) 0.1 (d) -16.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948164203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(192)*-5 - sqrt(108)*-2)\/(sqrt(486)*2)*4 + 2).\nAnswer: -28*sqrt(2)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - -11) + 4 + 0 + 35. Let r(i) = -i**3 - 4*i**2 - 3*i - 5. Let z be r(-4). Suppose -z*h + 2 = s. Let m(j) = j + 3. Give m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.038 - 0.038. Let w = l + -12. What is the third smallest value in -3\/2, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37391548*b**4 - 90219*b**2 + 3*b + 57?\nAnswer: -897397152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -256. Suppose -y - 10 = -5*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1115598\nAnswer: 2\/557799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 26*m**6\/3 - m**4\/4 - 8*m**3\/3 - 17*m - 486. What is the third derivative of i(h) wrt h?\nAnswer: 3120*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 618135.\nAnswer: 618135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -109. Is 26 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1165043 - -106?\nAnswer: 1165151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + 45*s - 2. Let f be r(0). Put 39\/20, -0.5, f in ascending order.\nAnswer: f, -0.5, 39\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*s - 46*g + 47*g, 34*g - 105 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -1, -3\/157, -0.175?\nAnswer: -3\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 6*g**3 - 9*g**3 + 2*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = -111. Let h = d - 20. Suppose 0 = -2*q + 3*v + h, 9 = -5*q - v + 60. What is the smallest common multiple of 11 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 6*b**2 + 12*b - 31. Let o be m(5). Solve 6*p - 16*p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -185 + -656?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 300339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from ddhhhqmhdm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 + 4*f - 2. Let h(a) = -a**3 - a**2 - 1. Let w(z) = -h(z) + o(z). Let m be w(3). Is 2 - (m - 255 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394.6 times -0.2\nAnswer: 78.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91947593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05372 rounded to three decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/120 + p**3\/6 - 2*p. Let y(u) be the second derivative of j(u). Let a(k) = -k. What is a(y(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*h - h. Let v be 6\/12 + (-79)\/(-2). Suppose 5*d - 4*w - w - v = 0, 40 = 5*d + w. Calculate the least common multiple of h and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 2\/9 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-113012)\/(-13383))\/(6\/(-27))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 270 = 2*h, 3*v + 2*h + 2 = 204. Let i = 177 + -111. Let k = i - v. Let c(r) = 2*r - 1. Give c(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064791.25 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z + 3*z)*(-4*z**2 - 172*z**2 - 452*z**2) - z + 2*z - 3*z + z**2 + 1 - 2*z**3.\nAnswer: -3142*z**3 + z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*s + 1459*s - 359*s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/816 and -85\/84.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - q**2 + q + 4. Let m be a(0). Suppose -2*u = -m*u. Suppose -5*i + 3*b = -3*i - 227, u = 4*i + 5*b - 509. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**3 + 6*u**2 + 18*u + 435. Let c(d) = 9*d**3 + 4*d**2 + 15*d + 436. Let r(t) = 6*c(t) - 5*l(t). Differentiate r(b) wrt b.\nAnswer: 12*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*((0*k + k - 2*k)*(6*k**2 + k**2 + 0*k**2) - 884*k**2 + 53*k**3 + 884*k**2).\nAnswer: -46*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53506170 by 1746.\nAnswer: -30645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1996 - -1875. Which is the third biggest value? (a) 2\/9 (b) -1\/2 (c) 0 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:46 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**9\/30240 + v**8\/5040 - v**5\/20 + 2*v**2. Let m(n) be the third derivative of t(n). Factor m(d).\nAnswer: -2*d**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 40, 20, -4, -32, -64, -100?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 14*h**2 - 101*h + 95. Is y(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(1 - -4)\/5. Let u = 592 - 589. Which is the closest to 0.1? (a) u (b) 10 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1831 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.921 * -70\nAnswer: -64.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = -3, 5*h = -2*s + 23. Suppose 2*p + c - 6 = 0, -p - h*c + 2 = -19. Suppose 16*x + 53 - 21 = 0. Put p, x, 3 in descending order.\nAnswer: 3, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 11374.\nAnswer: 3\/5687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbcppppppbbcbpbpb. Give prob of sequence pbc.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 18 = -2*q, -2*q + 4*c = 2*q + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 9637?\nAnswer: -962b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -12, -227, -0.4, 0.11, -5 in decreasing order.\nAnswer: 0.5, 0.11, -0.4, -5, -12, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzsj when four letters picked without replacement from zozzbujsbzuzo.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125, 499, 1123, 1997, 3121?\n\"Answer: 125*r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8540647579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-18) - 2\/(-4). Let u = 12 + w. Suppose 0 = h - 4, 0*a - a - 4*h = -20. What is the smallest common multiple of a and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -16. Let a = g - -18.00007. Round a to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 324*n - 17497. Give a(54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37\/105 + 1\/21. Let a = 242 - 241. Put a, 5, 0.04, f in ascending order.\nAnswer: 0.04, f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 3444?\nAnswer: -3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 49*h - 10. Let q = 7 - 7. Suppose 5 = -5*p + s - 43, p + 4*s + 18 = q. Let o be j(p). What is o rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5*y - 4. Let b be (-5)\/10 - (-14)\/4. Let n be h(b). Let r = -2 - -3. Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((54\/(-675))\/(1\/(-15)))\/((-417)\/13205).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from xeojxtmxmmtx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.521 - -0.6431. Round x to 3 decimal places.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -204731 + 0?\nAnswer: -204731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = 4*n, -t + 4*n + 8 = 3*t. Let w be 5\/(5\/4) - (-13)\/(-3). Which is the second biggest value? (a) w (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 (base 16) in base 4?\nAnswer: 131200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f**3 + 1\/15*f**5 - 7\/24*f**4 + 3*f**2 + 0*f + 0. What is the second derivative of m(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18) - (-893)\/(-171)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 48. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1)*(-156)\/18. Let w = 421 - a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10855*b**5 + b**3*j**2 - 2*b*j**2 - 253*b + 6*j**2 wrt b?\nAnswer: 217100*b**3 + 6*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23636 - 23634. Calculate the greatest common divisor of 11378 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-28))\/((-30)\/21)*5. Suppose y - 2*h + 5 = 0, w*y + 4 = 4*h - 0*h. Solve y*l + 20 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 - 1010*a + 215. Give d(112).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(9\/(-2) - -3). Suppose -6*s + 3*s = -5*p + 6, -5*p - g = 2*s. Solve -4*o - 12 + p = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -22*i**2. Let p(a) = 6*a**2. Determine r(p(v)).\nAnswer: -792*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3693\/27*1 - 42\/(-189) is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1488450 or -1488455?\nAnswer: -1488455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 18214?\nAnswer: 18213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102736596 is divided by 155426?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 - (23 + (-32 - -48))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -25.7. Which is the closest to 0.2? (a) 0.4 (b) -1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 1808 = 5*i, -4*n + 4*i + 7232 = 0. Let g = n - -30. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1999, 8328, 18877, 33646, 52635, 75844, 103273?\nAnswer: 134922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -22. Let q(h) = -h + 1. Let a be q(6). Do c and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*h - 20, -b = -2*h + 18 - 5. Solve 4*g - h = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/9 + 277*g**2\/9 + 6157*g\/3 - 11045 = 0.\nAnswer: -141, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/58)\/((-70)\/120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18. Which is the second smallest value? (a) 2 (b) r (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 75654 = 32*l. Let f = l + -44817\/16. Find the common denominator of 91\/54 and f.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 9b7?\nAnswer: 9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9398, 37882, 85416, 152000, 237634, 342318?\n\"Answer: 9525*h**2 - 91*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**3 + 3*x**2 - x - 2. Let u be o(-2). Let g be -1*u\/(-12) + 2. Which is the smallest value? (a) -0.2 (b) g (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -83833, 62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10100?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 - 26442?\nAnswer: -26301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w - 204 = -36*w. Suppose w*g - 336 = 37*g. What is the remainder when 0 + (4 - 2 - -89) is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1022 + 10?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/4 + (5 + 2 - -2). Suppose i*y + 2 = 11*y. Let -6 - 5*h + 19*h - 2*h**2 - y*h**3 - 4*h = 0. What is h?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2947768 and 1.8.\nAnswer: -2947766.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*d**2*r**2*y**2 - 2*d**2*r**2*y - 2*d**2*y**2 - 40*d*y**2 - 4*r**2*y - 2*r*y**2 wrt r?\nAnswer: 30*d**2*y**2 - 4*d**2*y - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + ((-942)\/(-9) - -4). Let p = -120 + u. Let d be (-45)\/(-20) - (-3)\/p. Solve 3*x - 2*w = 5, -d*w - 3*w = -x + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o - 2 = 0. Let x(b) be the first derivative of b - 4\/3*b**3 + 1 + b**o + 1\/4*b**4. What is x(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.4244 - 8.321. Let x = i - -0.9. Round x to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 142*q**2 - 70*q + 2. Calculate p(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.8. Let m = 1 - y. Let t = -1\/3 + 0. Which is the second biggest value? (a) t (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + 7*g - 4. Let k(u) = -7*u**2 + 13*u - 7. Determine 11*i(f) - 6*k(f).\nAnswer: -2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23517 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, -5, 1\/10?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 437, 444, 465, 506, 573, 672, 809?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 601467 by -200489.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (724 - 749) + (43 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**3 + 55*a**2 - 178*a + 25. Let m(k) = -13*k**3 - 83*k**2 + 268*k - 40. Let x(o) = 5*m(o) + 8*v(o). Find j such that x(j) = 0.\nAnswer: 0, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*p - 5 - 114*p + 0 to the form i*p + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + sqrt(500)*-1 - -1*sqrt(320)))**2*4.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -109. What is the least common multiple of u and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = y - 6*y - 4*r, 2*r + 24 = -4*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, x: 1, s: 1, w: 1}. What is prob of sequence nw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 151, 233?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 1 + 3 + 1)**2*-5 + -1*(-1 + (sqrt(1584) - (0 + sqrt(1584))*3)**2).\nAnswer: -11960 - 500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248 + -253 - (-3 + -60).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -768 divided by -3\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3712 and 1082?\nAnswer: 2008192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -19. Suppose 307 = 11*i - 1. What is the greatest common factor of n and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1.1, -1109.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217580\/7 + 31415. Let i = 4567\/14 - j. What is the common denominator of (-2)\/8 + (-202)\/8 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131264\/75 or -1750?\nAnswer: -131264\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h + 2600 = 23*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3230 - -3229.990574. What is c rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rllrlrrrllrrrlrllrl. What is prob of sequence llll?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*p**2\/9 - 1699514*p\/9 - 55540.\nAnswer: 2*(p - 49986)*(17*p + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 19*s = -370557. Let d = 57906 + s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 - -64?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*3)\/sqrt(7) - sqrt(25))\/sqrt(5) + 1.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*j + 62*j + 407*j + 12 + 227*j - 43.\nAnswer: 552*j - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74507219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-6)*((-4)\/14)\/(465\/1085).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2644176 or 2644177?\nAnswer: 2644176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.28 - 0.28. Let f = -658 - -663.03. Let w = 0.03 - f. Which is the closest to 0? (a) w (b) -4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 38 = 4*m, 0 = 2*v + 2*m - 2 - 18. Suppose -14 = -5*i - 4. Suppose i*s = 80 - 4. Calculate the remainder when s is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1331)*-2 + 2 + 1)**2 + 4.\nAnswer: -44*sqrt(11) + 5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 24*d + 31 + 28 - 89 to m + i*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + 264?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9936 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/12 (b) -3\/5 (c) -23\/5 (d) 1 (e) 0.5 (f) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2231 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.03 - 0.03. Let f = 1 + -1. Which is the closest to f? (a) 0.03 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -5*z + 23, -7*c + 39 - 30 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, o: 4, d: 6, s: 4}. Give prob of sequence dw.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/8? (a) 91 (b) 3\/8 (c) -6.8 (d) -1\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + -1)*-2*5 - 2*3*(sqrt(891) + (sqrt(891)*1)**2 + sqrt(891) + sqrt(891)).\nAnswer: -5316 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 34, -7, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let q be s(2). Let z = 0.13 + -5.13. Which is the third biggest value? (a) z (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.97 and 3578914.859.\nAnswer: 3578915.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1228829 divided by -175547\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -40. Let g(n) = -21*n + 22. Let y(q) = 7*q - 7. Let r(c) = b*y(c) - 2*g(c). Find the first derivative of r(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (5 + (1 - 7) + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 325 and 44467670.\nAnswer: 222338350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-10))\/((-2)\/(-4)). Which is the third biggest value? (a) f (b) -1\/4 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 3*a**2 + 4*a - 1. Let i be t(4). Let z be 1647\/5 + 2 + i. Let d = 14743\/45 - z. What is the common denominator of d and 65\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4616940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (3\/(-3) + -9). Suppose 4*s - 5*l + 0 = p, 0 = 5*l - 15. Solve -3*v - 2*c = -0*v + s, -v - 3*c - 9 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-5440)*-4780 - 3\/(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 2, j: 1, b: 4, m: 5}. What is prob of sequence bjmy?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((350\/(-28))\/(-25))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 985.95 centuries to millennia.\nAnswer: 98.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5 + 0*c**2 + 5*c**2 - 8. Let h(x) = -10*x**2 + 26. Suppose -30*f - 146 - 4 = 0. Let a(v) = f*y(v) - 2*h(v). Differentiate a(q) with respect to q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**4 - 3*k**3 + 1024*k**2 + 440753*k wrt k?\nAnswer: -36*k**2 - 18*k + 2048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -181d + -4e?\nAnswer: -186c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*q - 92*q + 191*q + 68853*q**2.\nAnswer: 68853*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -107?\nAnswer: 10\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -64, 0.08, 2, 1, 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/35 - (-23)\/7. Suppose 9 = 4*v - m. Solve -v*o + 12 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 629281 + 110719. Round b to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - 4*c**2 + 9*c + 23. Let t be k(-3). Sort 4, 1, t, -0.5.\nAnswer: -0.5, 1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-2) + (-4 - -3). Let a = -41 - -19. Let z = a - f. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 9 = 4*q - 4, 9 = -3*q + 3*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 7, o: 3, i: 3}. What is prob of picking 2 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**2 + 2*c - 3. Let d be q(-9). Let k = d - 2. Round k to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -567 + 701827.4.\nAnswer: 701260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13893 = l + 29698, -l + 3*s - 43609 = 0. What is l rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -534\/1967 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/6 (c) 77.2 (d) 4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 259848 and 36126.\nAnswer: 57946104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45888 and -485.1?\nAnswer: -22260268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 986830 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1219 + 1220. Sort t, -0.2, 6\/65 in descending order.\nAnswer: t, 6\/65, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/12 + 27\/(-6). Let d = 8 + h. Suppose -d*t + 3*l = -1738, -3*l + 0*l - 875 = -t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-370))\/(801\/1335).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 264*b*o*w*y - 10112*b*o*w + 2*b*o + 49058*o*w*y + 14*o - 5 wrt y?\nAnswer: 264*b*o*w + 49058*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384 - 418 - (-1 - (-6 - -2)) - (-3 + -3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -539, -2299, -5237, -9353?\n\"Answer: -589*h**2 + 7*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -28 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460927247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 - d**4\/12 + d**3\/6 + 2*d**2. Let u(c) be the first derivative of h(c). What is the units digit of u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0226 + 0.5226. Let o = 0.4 - 5.4. Which is the nearest to -1? (a) 4 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008127 * 0.8.\nAnswer: -0.0065016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*t + 11 = -g + 792*t, -7*t = 34*g + 47 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let o(a) = 4*a - 9*a + 6*a. Give o(u(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 25. Let t be v + 12\/(-9)*-9. Which is greater: 16 or t?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/243 and -86\/3969?\nAnswer: 11907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 88 = -2*y - y, -p - 5*y = -88. Let m(q) be the first derivative of q**2 - 6*q - 1. Let a be m(7). What is the greatest common factor of a and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1642*c**2 - 1649*c**2 + 4943*c**2 - 1650*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57377 = 1222*b - 212571 for b.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-4)*m*m))\/(((m\/m**(-2\/7))\/m)\/m)*(m**(-10\/3)*m)\/(((m\/m**(-12))\/m)\/m) assuming m is positive.\nAnswer: m**(-202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 4, m: 2, c: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 + 13*h - 38. Let p be j(6). Let c be (p + -8)*1 - -4. Let v(f) = f**2. Give v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plipptppt. What is prob of sequence pt?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -178\/3*d**3 + 0*d - 2\/5*d**5 + 0*d**2 + 47\/4*d**4 + 38. What is the third derivative of v(c) wrt c?\nAnswer: -48*c + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/272 - (-53)\/17. Solve -4*w = -w + f*j + 3, -4*w - 10 = -2*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9457600651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 13*j + 19. Let i be c(-12). Suppose 3*h - i + 34 = 0. Are h and -2\/59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239433135 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2 - 3700*d + 110100 = 0.\nAnswer: 30, 3670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*y**2 + 54 + 8*y**2 + 26*y**2 to z*y**2 + p + c*y and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167997 or 409\/3?\nAnswer: -167997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (391 + 2*u + 79*u**2 - 760 + 371)*(1 + 1 - 1).\nAnswer: 79*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*t + 114*t + 3 = -u, -3*t = 3*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 16*t = 32. Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39290 and 9830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = a + 15, 0*a - 4*f - 4 = -4*a. Suppose -5 - 20 = -a*w. Let z be (-2)\/1*w\/2. Sort -1, 3, z in decreasing order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**5 + 1 + 26*q**3 - 40*q**3 - q**2 + q + q**4 + 13*q**3. Let i(o) = -o**5 - o**4 + o**3 + o**2 - o - 1. Let b(u) = i(u) + j(u). Factor b(c).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -242*t + 22 - 80 + 54 as i*t + r and give i.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 90 - 107. Is k bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -5a0bc2?\nAnswer: -5a0bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3976282.\nAnswer: -5\/3976282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 3*w**2 - w - 1. Let g be t(-2). Suppose -3*i = -6*i + 15. Solve -g*x - i = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = w + 2*d - 21, -69 = -6*w + d. Solve -5*r + 2*c - w = 0, c + 6 = -4*r - c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 15*c**2 + 36*c + 6. Let b be x(12). Suppose 29 = 5*k + h, -k + 2*h - b = -14. Solve -k*j - 8 = -10*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) + 0\/(-17). Suppose -5*z + 11 + 41 = 2*w, -3*z + w + 29 = l. Calculate the lowest common multiple of z and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -837 + 825. Sort -7, 1, c.\nAnswer: c, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 4\/2 - (-90 - -96)) + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4 - 384*f**3 - 7922*f**2 - 20256*f = 0.\nAnswer: -16, -3, 0, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 174, 1\/3, -539\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 7*g - 1. Let h(a) = -2*a**2 + 13*a + 2. Suppose -m - 16 = -5. Give m*f(x) - 6*h(x).\nAnswer: x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-42) + 88\/240?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 - 665b7a?\nAnswer: -665aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - -12.1673843241.\nAnswer: 23.1673843241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 518908 and 61048?\nAnswer: 1037816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*a + 164*a = 284. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13f6ca (base 16) to base 3\nAnswer: -2110110201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 5. Let y(c) = 3*c + 3. Let f(i) = -5*v(i) + 8*y(i). Let t be f(-2). List the prime factors of 2 + 88\/4*t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18514.0507 - -18507. Round z to one decimal place.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -3 + 0*y + 1\/12*y**3 + 0*y**2. Factor j(c).\nAnswer: c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3970 divided by -2.\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806467*x**2 + 82855*x**2 - 576129*x**2 - 162345*x**2.\nAnswer: -1462086*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4 - 5) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:54 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 43*w**2 - 81*w - 32. Let c be q(48). Round c to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m**3 - 337*m**2 + 414*m + 971. Determine r(21).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*l + 3097627*f - 7093493*l wrt f.\nAnswer: -2*l + 3097627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76199\/210 or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*3*2\/(-96).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 23 - 9 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -147*r + 2. Let b be g(-4). Is ((-30)\/5)\/2 + b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z + 3. Let g be x(-11). Find the common denominator of 32\/11 and 2*g\/(-12) - -23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13913 + 16425 = 7*t. Round t to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + m + 0*m + 55 + 13*m - 55 - m + 0*m + 3*m + 2*m - 3*m - m + (0*m + 2*m - m)*(-2 + 0 + 3) - m + 0*m + 3*m + 2 - 2 + m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*x = 27, -774120 = -f - 4*x - 774087 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*l + 19 = 0, -2*l = -3*p - 6*l + 1. Let k be 10\/p*(11 - 5). Determine y, given that -k + 16*y**2 + 7*y - 11*y**2 + 8*y = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39203 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2592 and -89\/18144.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 838*o - 18. Let j be l(12). Suppose 7*p = -7*p + j. What are the prime factors of p?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*c = 133 + 67, 2*z = -2*c + 360. Calculate the remainder when z is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1060 and 0.3.\nAnswer: 1060.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203798 millilitres in litres?\nAnswer: 0.000203798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062544*-0.13.\nAnswer: -0.00813072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 448 + 32. Let h be ((14580\/(-105))\/(-27))\/(18\/210). What is the highest common divisor of s and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k. Let b(h) = 14*h. Let o(s) = 3*b(s) - 7*l(s). Let p(x) = 13*x. What is 5*o(q) + 3*p(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221\/7 or 1?\nAnswer: 221\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*d*i**5 + 9*d*i**3 - 1511*d*i*q + 570*i**2*q - 267*i*q + 1 wrt i.\nAnswer: -220*d*i**3 + 54*d*i + 1140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r + 2. Let s(a) = -1. Suppose v + 4 = 5*v + 2*y, -5*v + y = -5. Let p(i) = v*x(i) + 6*s(i). Let g(t) = t + 1. What is 6*g(m) + 2*p(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 115855056 divided by 12\nAnswer: 9654588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 1.94?\nAnswer: 0.0582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2534 and -0.1.\nAnswer: 253.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -1973 (c) 40 (d) -1\/9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 5) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-56))\/(-3))\/(-1*(-6)\/(-24)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**6\/30 + f**5\/5 - f**4\/4 - 2*f**3\/3 + 2*f**2 + 2*f - 2. Let c(a) be the first derivative of j(a). Factor c(w).\nAnswer: -(w - 2)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - 3039*t + 158511. Calculate x(49).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4261 = -2*w - 2*m, 12833 = 3*w + 4*m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 - 16404*u**2 - 67272804*u = 0 for u.\nAnswer: -8202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-3)\/12). Let b be x + 5 + -2 + 1. Solve 0*a = -b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-2))\/(2\/252) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let k(b) be the first derivative of -b**6\/120 + 2*b**3\/3 + 1. Let g(l) be the third derivative of k(l). Calculate i(g(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5404722\/23 + 234642. Let y = o + 346. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9*u + 50 = 0. Solve a - k - 1 = 0, -3*a = -6*a + k + u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 551 = -429. Let l = k - -142. Solve -l*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/20*(7 + -3))\/((-924)\/(-330)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 - 682 = -59*n - 227 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2292008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 20*j - 27. Let c be l(21). Let o = c + 48. Solve o = 4*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:27 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**2 - 268*g - 31. Let w be u(-19). Solve 4*a - 4*l - 8 = 0, -11*l + w*l = -2*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4058, -8113, -12168, -16223, -20278, -24333?\n\"Answer: -4055*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -1944583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 13*a**2 + 417*a - 6984. Calculate m(16).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0358921 to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -666ce0 (base 15) to base 5\nAnswer: -2222230120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/4*(-643 + 627).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 33 - 27*s - 20 + 72 to p*s + i and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 5*x - s, x + 5*s - 51 = 2*x. Let t be x\/(-9) + 2\/(-3). Let l = t + -2. Solve -l*z + z = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311583 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 2*k - 1. Let j(v) be the first derivative of -13 + 1\/2*v**2 - v. Determine -2*j(y) - q(y).\nAnswer: 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305 by -2975.\nAnswer: 61\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2))**(-43)\/(o**(-2\/3)*o**(3\/2)*o) assuming o is positive.\nAnswer: o**(-785\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a + 1. Let w be s(-4). Suppose -9 = 2*p + c, w*p + c + c = -20. Which is greater: p or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.1 + 36. Let r(l) = -l**2 + 9*l - 14. Let x be r(6). Which is the nearest to 1? (a) s (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 413 - 825 - 52*u**2 + 17*u**2 + 412.\nAnswer: -2*u**3 - 35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36397 is divided by 36395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9))**(-13\/6))**(9\/8)\/(x**(-4)\/x*x**(-2\/3)\/x)**(-2\/55) assuming x is positive.\nAnswer: x**(-69\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -36, -103, -218, -393, -640?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037467867?\nAnswer: 1037467867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 5 + 4)*(-5*t - 3*t + 4*t) as g + z*t and give z.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:11 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 - 7)*(142 + 4 + 1) - 2 + 1 + 3)*(3*c - 2*c - 2*c).\nAnswer: 1615*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2 + 34*t + 32 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -0.05 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 73*g - 68*g - 80 = 0, -g - 84 = 4*b. Let h(d) = -d**3 - 16*d**2 + 33*d - 38. What is the units digit of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 10*a + 5. What is j(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 67, -3 in increasing order.\nAnswer: -11, -4, -3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, 0, 138, 1082, -2, -3 in decreasing order.\nAnswer: 1082, 138, 119, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.332594 and -0.5?\nAnswer: -1.666297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 889408581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 - -1261. Let b = -489 + j. Let s = -337 + b. What is s rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13186176 divided by -412068.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8367917 to the nearest integer?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 smaller than 504\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 8. Let p = g - 21. Which is the smallest value? (a) 0.4 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23895 divided by 59\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*k + 500*k + 2 - 1)*(6*k - 4*k + 0*k).\nAnswer: -6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 50. Let o be k(-52). Sort 9, o, -53 in descending order.\nAnswer: 9, o, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = s - 4*y, 0 = -3*y + 15. Suppose 26*f - 510 = s*f. What are the prime factors of f?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 - 17*p + 10. Determine l(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*q + 6*q + 195 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5 + 3, 2*q - z = 6. Suppose s = -45 + 46. Solve -3*k - q = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833073.4 centuries in decades?\nAnswer: 8330734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -24. Let c(z) = 19 - 19 + 10*z**2. Let f be c(1). What is the highest common factor of f and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148019 - -7.\nAnswer: 148026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/1*8\/(-12). Let l = v + 13. Calculate the remainder when 14 is divided by l - (-2 + 2) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 14. Suppose 2*p = -2*p + 424. Let n = p - 57. Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 647*i**2 - 317*i wrt i.\nAnswer: 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/21)*d**(-1\/4) assuming d is positive.\nAnswer: d**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5287\/3 - -1765. Determine b, given that -50\/3*b**2 + t*b**3 + 28*b - 6 = 0.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -44213?\nAnswer: -13263.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -16.2, 4, -1.39.\nAnswer: -16.2, -1.39, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**3 - 62113 + 62113 + 65*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9604 and 0.05.\nAnswer: -480.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2776*c**3 + 1085*c**3 + 886*c**3 + 2092*c**3.\nAnswer: 6839*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -20905.83 to the nearest 10.\nAnswer: -20910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:01 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a decade in months?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 130 (c) -23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43765 is divided by 90?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 169402681 to the power of 1\/2, to the nearest integer?\nAnswer: 13015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -312 times 919453\nAnswer: -286869336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2. Let u(k) = k**2 - 3*k - 4. Let w be u(4). Let b be (-32)\/176 + 4\/22. Let m(i) = i**2 + w + b. Give h(m(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let h(f) = f**2 + 7*f + 10. Let q be h(-5). Is i equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.06. Is -1\/148 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488420 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: Four letters picked without replacement from etjttetfeetetv. Give prob of sequence teev.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 164 and -3884?\nAnswer: -636976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 2. Suppose -4*j + 28 = 4*d, 4*d = -a*j + 26 - 2. Solve w = -d*o + 15, -w - 3 - 9 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 - f**3\/6 + f**2\/2 - f. Let q be p(0). Let o = -0.04 + 2.04. What is the third biggest value in 0, q, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 6*x**3 - 2*x**2 + 2*x + x**2 - 6 in the form m*x + w*x**3 + d*x**2 + z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-77)\/(-42))\/(-11)*8)\/(14\/(-21))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - d**4 + 2*d**4)*(5 - 1 - 6)*(-1528 - 2399 + 3111).\nAnswer: -3264*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-21)\/(-378)). Let j(i) = i**3 + 6*i**2 - 2*i - 9. Let t be j(m). Solve -5*y - t = -2*w, 4*w + 3*y = -0*w + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14584 is divided by 561?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1485 and 17883.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 38*n + 16*n = -121410. What is the highest common factor of 142 and n?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -737924, -1475852, -2213780, -2951708, -3689636, -4427564?\n\"Answer: -737928*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13579422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -142 - ((-88 - -26) + 15)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*11\/(-22).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.510702ml to litres.\nAnswer: 0.000510702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5684, -5686, -5684, -5678, -5668, -5654, -5636?\nAnswer: -5614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*k**2 + 11*k**2 - 22*k**2)*(4*k**3 + 5 - 5) - 3*k**5 + 7*k**5 - 10*k**5.\nAnswer: -162*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 - -2012\/9. Let f = -11440 + 11445. Sort -0.5, f, d, 0.3 in ascending order.\nAnswer: -0.5, d, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, q: 1, m: 3, l: 1, d: 6, c: 1}. What is prob of picking 3 d and 1 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/26, 0.4, 0.1?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 52.1566mg?\nAnswer: 52156.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -13 - (-6 - 53) - (122 + -111)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -42\/17 (b) -3 (c) 1.16962\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.26 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3334, -3583, -3822, -4045, -4246, -4419, -4558?\nAnswer: -4657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1094 - 1584. Let t = n + 490.3. Suppose 0*k = -5*k + 3*r, 5*k = r. Sort 0.1, -0.1, t, k in increasing order.\nAnswer: -0.1, k, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539938*b + 539938*b - 9*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiikpiiikklkkiki. What is prob of sequence il?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171201 and 446553.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k**3 - 11*k**2. Suppose -4*h + l - 16 = 0, -3*h - 12 + 0 = 2*l. Let w(f) = -f**3 + f**2. Determine h*t(n) - 44*w(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1400, 1414, 1428, 1442, 1456, 1470?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.188258105 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -12. Let u = 69 - 64.7. Let y = 2.3 - u. What is the third smallest value in -2\/5, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4389, 179, -4019, -8205?\nAnswer: -12379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 221596752 divided by -27699594\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382 + 383. Suppose -24 + 8 = -4*z. What is the biggest value in 2, u, z, -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:14 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109079*m**3*u + 266*m**2*u - 708969*u wrt m.\nAnswer: 327237*m**2*u + 532*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11197835050 rounded to the nearest one million?\nAnswer: -11198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/243*(189\/(-18))\/(-7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -12, -38, -74?\n\"Answer: -5*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4426.\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (-108)\/20. Suppose -4*g = -j*g + 4. Solve -g*y + 0 = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 302*o + 3013. What is t(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 8 = 22*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*t = 3*s - 72, 0 = 4*s + 2*t - 144. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 3. Determine d(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l**2 - l + 1. Give f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 87. What is the tens digit of l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3 + 11*z**2 + 2*z - 10*z**2 - 37 - 13 + 10*z. What is v(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -755 + 4565\/6. What is the common denominator of (8\/10)\/2 + -2 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 120*w**2 + 54*w - 610. What is the tens digit of y(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - 2*z**2 + 2*z - 5. Let v be y(2). Let s(r) = 2*r**2 - 4*r + 2. What is the units digit of s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 3*l - 3*l + 239 + 5*l as r + z*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 5*t**4\/24 - 34*t**2. Let p(a) = -13*a**2. Determine p(c(x)).\nAnswer: -325*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26435812846 - 24.03.\nAnswer: -26435812870.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4\/7 + 184*q**3\/7 + 1924*q**2\/7 - 4416*q\/7 + 2304\/7.\nAnswer: 4*(q - 1)**2*(q + 24)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 + 11*t + 8. Let y be o(-4). Calculate the common denominator of (0 + (-750)\/16)\/((-666)\/y) and -43\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.05 rounded to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1316\nAnswer: 1\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578.7 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5115 - -5114. Which is the closest to -68? (a) q (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - (-103 + 25) - (65 + 1)) + 1\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 2. Let m(g) = -g. Let v(d) = -3*d - 4. Let i(o) = 5*m(o) - v(o). Suppose -12 = 4*q - 2*j, -3*q - 11 = -5*j + 4*j. Give q*r(a) - 3*i(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -22, -102, -256, -508, -882, -1402?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:44 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -149*i**2 + 151*i**2 - 4*i + 13*i + 2. Let n(t) be the first derivative of -t**3\/3 - 2*t**2 - t + 20. Give 9*n(a) + 4*w(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325 and 575?\nAnswer: 7475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 25*o**3 - 76*o**2 + 11*o - 24. Let g be w(3). Solve 58*c - 42*c - 48 = g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/7)\/w**7*(w*w**(-8\/7))\/w**10 assuming w is positive.\nAnswer: w**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 1565*o - 245705. What is q(1388)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + -15 - 9) + 33 - (-36 + 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/230*(-44)\/11\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d**3 - 1012 + 1012.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -718.76697 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-35))\/(3*(-12)\/63).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*b - 1 - 1 = 0, 0 = -4*l + 2*b - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.1516.\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*-2*sqrt(189))\/(sqrt(63)\/(sqrt(7)*-1)))\/((sqrt(343) - sqrt(343)*2)*-5*-3).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 7*x**2 - 5*x + 5. Let p be 7\/((-14)\/(-16)) - 3. Calculate the remainder when k(p) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*x - 4*b, 5*b + 16 = -3*x - 6. Let a be 84\/9 - 6\/x. Suppose 0*t - t = -a. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115444 is divided by 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 868973384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.02 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(9\/3) + 17. Let g = 17 - j. Calculate the least common multiple of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210058 - 129158. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 75 (b) -3 (c) -2\/7 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 0.05562\nAnswer: -0.38934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.3 + 546.7. Let t = 625.2 - s. Round t to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3 + k**2 - 9*k**2 - 84*k**2 + 85*k**2 - 2*k. Let h(n) = -n**3 + 8*n**2 + 2*n + 4. Determine -3*h(c) - 4*s(c).\nAnswer: 3*c**3 + 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/((64\/6)\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 11*o + 14. Let s(m) = -m**2 - m + 1. Let j(r) = f(r) - 5*s(r). Let p be j(4). Are p and -6\/35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*s - 10. What is the closest to 0 in -1, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10449 greater than or equal to -10453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = 7*x. Let t = 159 - 159. Sort -5, x, t.\nAnswer: -5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 474.8 * 0.4.\nAnswer: 189.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -323?\nAnswer: 32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*u**3 + 634*u**3 - 458*u**3 - 62*u**3 - 59*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(4 + ((-1*sqrt(304) + sqrt(304))*-6 + sqrt(304) - (sqrt(304) - sqrt(304)*2)*6))**2*-3*-2.\nAnswer: -536832 - 8064*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 1120*b - 24000.\nAnswer: -5*(b - 200)*(b - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15275, 30544, 45813, 61082, 76351?\n\"Answer: 15269*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(483\/138)\/(5\/2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 11*q**2 - 12*q + 31. Let h be g(10). Suppose -h - 265 = -12*j. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u + 10. Let y be p(15). Suppose 9*s - 4*s - y = 0. Let d = s + -20. Solve 6 = -3*h - 5*m, d*h - 2*m - 18 = m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361297073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 220211100112 (base 3) in base 12?\nAnswer: 1b697b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1.9, -5, -13, 10, -5\/2896 in ascending order.\nAnswer: -13, -5, -5\/2896, 0.1, 1.9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - 2*s**4 - 2*s**4 + (4 - 14*s**4 - 4)*(-4 + 3 + 4))*(13 - 26 + 45).\nAnswer: -1376*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -36345.2.\nAnswer: 363452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + l + 2)*(-4*l**2 + 0*l**2 + l**2) + 34*l**3 + 524 - 524 to the form f*l**2 + z*l**3 + v*l + h and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 0.167?\nAnswer: -0.01169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 12*n**2 + 3*n - 16. Calculate r(8).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 19*x - 26. Is b(12) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/33 (c) 11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20406, 23562, 26718, 29874, 33030?\n\"Answer: 3156*n + 17250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(1573) + sqrt(1573))**2 + -2 + (sqrt(13) + 2 + 5 - sqrt(13) - (sqrt(1573)*1)**2).\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 12*d + 5 - 2*d**2 + 11*d - 7 in the form u*d**2 + j + p*d and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 11*t - 36*t + 183303. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 63 = 3*v - 5*o, 4*v + 70 = -2*o. Round v to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 412.0944 + -0.6544. Let j = d + -421. Round j to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/4 - 11*p**4\/12 - p. Find the third derivative of c(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 9. Let u be a(-7). Let x(b) = b**u - 23 - 13*b + 29*b - 14*b. Let o be x(-7). What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 218081 and 0.05?\nAnswer: 10904.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(3\/1) - -1. Let p(r) = -r**3 - 7*r**2 - 6*r + 5. Let f be p(-6). Suppose -v*u + 152 = f*g + 22, -4*u = -g - 135. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5055 and 65991340?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0*l**4 + 1\/3*l**3 + 2*l - 3\/20*l**5 + 0 + 0*l**2. Find the second derivative of f(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -79.2. Let a(n) be the third derivative of n**6\/120 - n**5\/12 - 7*n**4\/24 + 5*n**3\/6 + n**2. Let h be a(6). What is the closest to h in 1, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12061.\nAnswer: 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2. Let k(u) = -343*u**2. What is n(k(v))?\nAnswer: 117649*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46252721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:39 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 73\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((6 - -17) + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 2:51 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-2)\/(-3)). Let i(n) = n**2 + 15*n + 7. Let m be i(-14). Let f be (-48)\/14 + (-4 - m). Which is the third biggest value? (a) j (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261 and 629.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31212333000 - 1012?\nAnswer: 31212331322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 1451514*g - 175574407683 = 0. What is g?\nAnswer: 241919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/12)*t\/(t**(-8)\/t))\/(t**(4\/5)*t**(-10)) assuming t is positive.\nAnswer: t**(1157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3\/3 + 19028*f**2\/3 - 19000*f\/3 - 38048 = 0. What is f?\nAnswer: -2, 3, 4756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {n: 4, m: 6, e: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(30\/270)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/7 - 1704*c\/7 + 1706\/7 = 0. What is c?\nAnswer: -853, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*z**4 + 16*z + 5*z**5 + 7*z - 20*z**3 - 32*z + 10*z**2 + 24*z + 70*z**4.\nAnswer: 5*z*(z - 3)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -35\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 2, i: 5, b: 1, n: 1}. What is prob of picking 1 b and 1 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -836 divided by 1\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let g(q) = 44918808*q. Calculate t(g(i)).\nAnswer: -2017699312140864*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1853 is divided by 454.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 27. Let w = -29 + 29. Factor w - i - 5\/2*i**z.\nAnswer: -i*(5*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7\/4. Put -0.1, 0.4, h in ascending order.\nAnswer: h, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 1, o: 3, u: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/(-84)*91\/154?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41952, 83910, 125868, 167826, 209784, 251742?\nAnswer: 293700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13532000 rounded to the nearest one hundred thousand?\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 8, r: 1}. What is prob of sequence rf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 136*s**2 - 37 in the form p + z*s + d*s**2 and give d.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)*2*-4)\/((sqrt(7) - 1*(sqrt(28) + sqrt(7)) - sqrt(7))*3))**2.\nAnswer: 704\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**2 - 1. Let h(s) be the first derivative of 1 + 0*s**2 + 5\/3*s**3 + 0*s. Give h(q(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2\/9*i**2 + 2\/9 + 4\/9*i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369 or 132151\/357?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -33. Let i = 11 - n. Let m be -1*7\/(-4) + -2. Which is the closest to -2\/11? (a) i (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20166 (base 7) to base 6\nAnswer: 34403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 4*m**3 - 4*m**3)*(-3*m**2 + 5*m**2 - m**2) - 3*m**5 - m**5 + 5*m**5 + m**5 - 4*m**5 + 2*m**5 + 3*m**5 - 3*m**5 - 4*m**5.\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -1\/5, -3, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/7)\/((-189)\/(404838\/(-765)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.09 + 4. Let a = n - 0.31. What is the second biggest value in a, 0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 17*n + 97. Let c be y(6). Suppose 5558 = 81*v - c*v. Calculate the remainder when v is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 5*m**2 + m + 3. Let c be a(5). Suppose -7 = 3*y + c. Let f(l) = l**3 - 4*l**2 - 4*l - 6. Let k be f(5). Sort k, 4, y.\nAnswer: y, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.555 - 0.083?\nAnswer: -25.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5148 - -5152 - (26 + 0 - (2 + -4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4140943 and 258?\nAnswer: 24845658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1253 - 1239. What is the least common multiple of 11 and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66537429 is divided by 5226?\nAnswer: 5223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4322519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.74 - -0.937.\nAnswer: 0.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1170 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 15. Let l be g\/(-2)*(-15)\/(-10). Which is the third smallest value? (a) l (b) -0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74.43 times -3.103\nAnswer: 230.95629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181852 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14641 is divided by 337?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1961200 to the nearest ten thousand.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, -7, -14, 5, 30, 0 in increasing order.\nAnswer: -14, -7, 0, 1, 5, 21, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 18461050*q - 276914625 = 0. Calculate q.\nAnswer: 15, 3692195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33344 and 5120?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -53. Let v = b - -172. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 4 + 1 + 1*(sqrt(1053) - (0 + sqrt(1053) + 0 + sqrt(1053)))*-3).\nAnswer: 8 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(2 + 0 - 3)*(-3*o + 4*o - 2*o + 15 + 7*o - 15 + 6*o - 4*o - o + 5 + 2*o - 5 + (5 - 4 - 2)*(-5*o + 2*o + 2*o) + 0 + 0 + 2*o - 3*o - o + 5*o).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(0 + 24\/(-9)). Suppose 2*u - 468000 = o*u. What is u rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 6.2. Let p = q + 11. Which is the second smallest value? (a) p (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(964*z**2 + 815 - 815)*(-2 - 5*z + 1 + 2*z) in the form q*z**2 + y + g*z**3 + u*z and give g.\nAnswer: -2892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 283?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -6161.\nAnswer: 15\/6161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = -28. Let p be 4\/(-6)*(-1 - 5). Suppose -n + 80*g = 83*g - 15, 0 = -4*n - 5*g + 25. Solve -y + m - p = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*l - 555*l = -2576 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.22, -4, 4, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4636 + -4584. Calculate the smallest common multiple of b and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -v. Let g = 566 - 560. Solve 0 = -v*i + 4*i + g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 4) to base 11.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -0.4, -4, 1\/4, -2\/47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 447047749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 1017056849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 688423 divided by 32\nAnswer: 688423\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12234*t**2 + 42386 with respect to t.\nAnswer: 24468*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 109.2. Let l = 1.589056 + 16.6109517. Let k = l - j. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38735, 77470, 116205, 154940, 193675, 232410?\nAnswer: 271145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 27 = 4*s. Suppose -o + s = -4*o + 3*z, -4*z = 4*o - 28. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c + 14 = 0. Let p = -3539 + 77883\/22. Calculate the common denominator of p and -302*(c\/(-36))\/7.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let a(b) = -6*b + 67. Let p(k) = a(k) - 5*g(k). Let y = 15 - 45. What is the lowest common multiple of 6 and p(y)?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a - 3. Let z be (a\/(-2))\/((-11)\/264). Suppose l + l = z. Solve o = l*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 193*i**2 + 6*i - i**3 + 0*i**3 + 191*i**2. What is c(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1892 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 431168?\nAnswer: 3\/431168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + 4.22. What is the closest to 0.1 in -5, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a*f*r**2 - 3*a*f*r - a*r + 5*f**2*r**2 - 8*f**2 - f wrt r.\nAnswer: -10*a*f + 10*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*s - 61. Let m = s + 24. Solve -4 = 3*g - i - 5, -m*i = -g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*a*z - 3522*a + 683137*z with respect to a.\nAnswer: -27*z - 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7579055 millimeters?\nAnswer: 0.07579055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3 + 9 = 0. Which is the nearest to g? (a) 0.4 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.51 + -43218018.07\nAnswer: -43218005.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*i - 0*i - 5*q, -4*q = 2*i + 6. Suppose -375*m = -370*m - 40. Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97624700?\nAnswer: 2, 5, 313, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (3 - (-95)\/(-10)). Let y = -4 - -2. What is the biggest value in 8\/5, u, y?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) - 6\/8. Suppose y = 2*d + 17*d - 361. Let u = 38 + d. What is the greatest common factor of 76 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9851 + 12978 = 1200*d + 49927 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1013649*u + 8430988.\nAnswer: -1013649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 899702550066 - 2.6\nAnswer: 899702550063.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 v when four letters picked without replacement from yvuthtiu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.100655503*0.3.\nAnswer: 0.0301966509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wue when three letters picked without replacement from {w: 3, y: 1, b: 1, e: 2, u: 5, k: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1000101011010101?\nAnswer: -1000101011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037.65807 rounded to the nearest 10?\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -26315 greater than or equal to -26308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 17*b = 2*r + 22, -r - 10 = -b. Let w = r - -78. Calculate the least common multiple of 77 and w.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 6. Let v(n) = 4*n**2 - 21*n + 30. Let o(u) = -u**2 + 5*u - 7. Let r(t) = 9*o(t) + 2*v(t). Determine r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*d - 352*d = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*d**3*l**3*p**2 - 11*d**3*l**3*p + 2*d**2*l**3*p**2 + 12*d**2*l**3*p + p**2 wrt p.\nAnswer: 40*d**3*l**3 + 4*d**2*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.030402 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 293*q**2 + 34 - 9 - 14 as b*q + f + x*q**2 and give x.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:48 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82867.193 rounded to the nearest 10?\nAnswer: 82870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/15 + 8\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 7*o - 1. Determine y(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4379 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016396484 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 14440.98?\nAnswer: 5776.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 9 (c) -1\/6 (d) -3\/7 (e) 2 (f) 2575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(704)*-2).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = 6, 3*k = 3*t + 12. Find the first derivative of 72 - 29*v**2 + 44 - 33*v**2 + 7*v**k wrt v.\nAnswer: -110*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*b - 70, -y - 53 - 29 = -4*b. What is the highest common divisor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Find the first derivative of -1 + 1 + c*x**3 - 3 - 1 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1011423 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-5\/8)*u)\/u)\/(u*(u*u**2)\/u) assuming u is positive.\nAnswer: u**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7068\/13157?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9522 - 0.0478. What is the nearest to 1\/2 in p, 3, 2\/25, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 3. Let t be q(3). Let i be t\/14 + (0 - 2). Suppose -2*w + 7 = -4*o - 13, o + 5 = 0. Which is bigger: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8291*q + 9870 = -8081*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -0.5 (c) 1\/3 (d) -11 (e) -2\/167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -52*r**3\/3 + 3*r**2\/2 + 4*r. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5066 - -5073. Calculate the remainder when 151 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 263. Let x = 8681 + -8649. What is the highest common divisor of j and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 130 - 124 = j + 5*o, -2*j = -6*o - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + -11?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 108*c. Let y(l) be the first derivative of -2*l**3 - 246. Calculate u(y(i)).\nAnswer: -648*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 88?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*b**2*q*z**2 - 64*b**2*q + b**2*z**2 + b*q - 2*z**2 + 1 wrt z?\nAnswer: 262*b**2*q*z + 2*b**2*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyyyyyoyyyoyoyoyy. What is prob of sequence oyyy?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 110.1787.\nAnswer: -55.08935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1\/7, -4, 3\/2, -4.23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 - l + l**2 + 3*l**3 + 2*l**3 - 7*l**3 in the form s*l + q*l**4 + i + w*l**3 + b*l**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.6 - 60. Let f = -6 - l. Let p = 1.424 - f. What is p rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - 3ce87e?\nAnswer: -3ce842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/15 + -13\/15. Let v(s) = 4*s. Let d be v(2). Let a be d\/10 - 210\/75. What is the nearest to 0 in a, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*r - 45*r = 42*r + 110. Suppose 3*c + 4*a - 72 = -c, -2*a = 5*c - 102. Calculate the greatest common divisor of r and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.2, 0.09, 4.\nAnswer: -9, 0.09, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -4*o + 3*j + 483, -3*j + 6 = 0. Calculate the remainder when o is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -680 and 0.1?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4011 (base 13) in base 5?\nAnswer: -240202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 2:58 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66534321 divided by 7?\nAnswer: -9504903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*g = -p - 10, 5*p = -3*g + 42. Suppose 0 = -5*j + 2*j + p. Suppose 3*v + 25 = 4*k, -j*v - 3*v - 15 = 0. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Calculate the remainder when 17 is divided by d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/5, 5, 2\/15, -0.62.\nAnswer: -4\/5, -0.62, 2\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11*3*13\/(-39). Let r(m) = m**3 + m**2 + m + 1. Let v be r(-1). Which is the nearest to v? (a) y (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (8 - ((0 - -3) + 14) - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68, 29, 188, 415, 716, 1097?\n\"Answer: y**3 + 25*y**2 + 15*y - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + i = 13, 2*g - i + 10 + 0 = -0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.08 + -5.08. Let d = -2.7 + -0.3. Put d, q, -0.1 in decreasing order.\nAnswer: -0.1, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((31 - -26) + -32 - 28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -128*s**2 + 1. Let b be h(-1). Let m = 349 + b. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2 + (-2)\/16*-8. Put 5, n, -55 in ascending order.\nAnswer: -55, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) + (1 + sqrt(684))**2))*5.\nAnswer: -3425 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3198.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 4.2.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 99208, 1, 4, -1 in descending order.\nAnswer: 99208, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0 (c) -697 (d) 2 (e) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -157, 53, 281, 527?\n\"Answer: 9*s**2 + 183*s - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 347242431 to the power of 1\/3, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8096, 9070, 10694, 12968, 15892, 19466, 23690?\n\"Answer: 325*v**2 - v + 7772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130626704 a multiple of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759662 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let a be (6\/8)\/((-528)\/(-704)). Let j(h) = 2*h**2 + h + 2. Calculate a*j(f) + 4*n(f).\nAnswer: 2*f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 1681*d**2 - 3648*d**2 + 1777*d**2 in the form v + o*d + b*d**2 and give b.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*y - y. Suppose 2*d = y*d - 2*z - 14, 4*z = -2*d + 44. Let b = -1 + 3. What is the least common multiple of b and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240134 (base 5) in base 7?\nAnswer: -224514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 121, -0.1, 15, 1, 0.7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) 2\/15 (c) -2\/11 (d) 6.9 (e) -2 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:06 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 15*c**2 - 19*c + 63*c.\nAnswer: 10*c**2 + 44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 - 3*k**2 - 3*k - 52. Let t(b) = b**3 - b**2 - b - 1. Determine r(f) - 3*t(f).\nAnswer: 4*f**3 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**2)\/t**(-2)*(t*t*t**(9\/2))\/(t*t\/t**(8\/7)) assuming t is positive.\nAnswer: t**(93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-4) + 2*1. Suppose q*w = w. Is (-21)\/(w\/(-3) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111010 - -1010?\nAnswer: -11010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2701 - -2?\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 3*d**4 - 25 + d**4 + d**4 - 5*d**4 + (0 + 2 - 3)*(3*d**4 + 2*d**4 - 4*d**4) to s*d**3 + j*d + l + b*d**4 + r*d**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1060 and -0.308.\nAnswer: -1060.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10874*o + 739490. What is g(68)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdqdzdqmmmmdddu. Give prob of picking 2 q and 2 m.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 160828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f - 3. Suppose 13 = 5*r + t, -3*t + 11 - 4 = -r. Suppose -11 = r*x + 1. Is g(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - b479357?\nAnswer: -b479354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(-7*p + p + p + (-1 + 0 - 1)*(0*p - 2*p + 0*p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4965*t**2 - 153918*t + 93.\nAnswer: 3*(t - 31)*(1655*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 - (12 + 2). Let i = -7 - a. Let k = i - -2. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/1)\/(-3))\/((-7826)\/5590).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (60\/2)\/((8\/4)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let i(m) = -6*m. Determine 3*i(t) + 9*w(t).\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -44, 3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 62. Calculate t(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -400\/27*a**3 - 1\/945*a**7 + 10\/27*a**4 + 0 - 15*a**2 - 1\/270*a**6 + 0*a + 13\/90*a**5. Suppose p(g) = 0. Calculate g.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - 255. Let h = 34 - 6. What is the lowest common multiple of h and (-3)\/(-4)*(p + -1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*((-6)\/3 - 0). Suppose h + 217 = v*b, 5*b - 5*h + 43 - 408 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*n\/(n\/(n\/n**(1\/3))*n))\/(n**(4\/3)*((n\/(n\/((n**(-2\/25)*n)\/n)))\/n)\/n) assuming n is positive.\nAnswer: n**(43\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pooyywobbboowyybooo. Give prob of picking 1 p and 1 o.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (40 - 46 - (-4 + 1 - 13)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0293565525 rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.5, 0.1, -7 in increasing order.\nAnswer: -7, 0.1, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0) + 40\/(-12). Let n = -0.36 - 0.04. Which is the second biggest value? (a) k (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.057 * -9.4\nAnswer: 244.9358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4842 - 20000 = -n, -n - 5*a = -24845. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 + 79*g**2 - 17*g - 226. What is i(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45829500 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*d + 6426 = -44*d. Solve -14*a - d = -49 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/9 (b) 52273 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304 - 304 + 936 - 328 - 29732*f**2 to j*f**2 + t + g*f and give j.\nAnswer: -29732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j - 4*g, -153*j + 158*j - 4*g + 7 = 0. Which is the fourth biggest value? (a) -0.1 (b) j (c) 137 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 3 (c) -2\/9 (d) 4\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 51963, -1, -4, 1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from hahhhaha?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.8 and -12.7844?\nAnswer: 61.36512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5072 - -751. What are the prime factors of p?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:05 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.2 + -5.2. Let z = 0 - -0.1. Let h be -4 + 12 + -4 - 2. Which is the second biggest value? (a) o (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 139*q**2 - 80*q + 604. Calculate i(70).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215226.\nAnswer: 2, 3, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*u - 124 + 124 to the form v + t*u and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 (base 11) in base 9?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhr when three letters picked without replacement from hrhrrhhrhhhhhhhhhh?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 40, 63, 88, 115?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 27*t**2 + 175*t - 58. Calculate f(13).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 18*h + 13. Let n = -17 + 25. Let o be l(n). Suppose o = 5*s - 200. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/((k*k*(k\/k**(5\/11))\/k*k*k)\/k)*k)\/k*k*k)\/(k\/(k**(-3\/14)*k)))**(-17\/2))**(-5\/7) assuming k is positive.\nAnswer: k**(16235\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c - -b5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 16*t**2 + 17*t + 6. Calculate the remainder when 377 is divided by a(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(sqrt(132)*2 + sqrt(132)))\/(-4*sqrt(44)\/sqrt(4) - sqrt(121)\/(1*sqrt(11))).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/16)\/p**2*(p**(-21))**(-1\/5) assuming p is positive.\nAnswer: p**(171\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*m + 34, 4*m - 6 = -g - 2. Let o = -24 + 17. Let x = g - o. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 58. Let w(p) = 2708 - 2708 - 2*p**2. Calculate b(w(d)).\nAnswer: 8*d**4 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1036364051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 12*t**2 - t + 4. Let h be d(5). Suppose 8*x = -5*r + 5*x + h, -2*r - 2*x + 22 = 0. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27747*a**3 + 14327*a**3 + a - a.\nAnswer: 42074*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (17 + (-2 - 8) + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-85)\/68*115301)\/((-1)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.6 - 2.73.\nAnswer: 47.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, v: 1, i: 1, o: 2, c: 1}. Give prob of picking 1 o, 1 i, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 73, 121, 209, 349, 553, 833, 1201?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z - 2652 = 63*z. Let p = z + 208. Solve 0*d + 21 = f - p*d, -2*f + 14 = -d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86251 is divided by 14374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -974, -1942, -2898, -3836, -4750, -5634, -6482?\n\"Answer: t**3 - 975*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, m: 3, v: 1, h: 3}. Give prob of picking 2 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 7*l + 9. Let u be a(6). Let f(i) = -2*i**2 + 18*i - 3. Let c be f(8). Calculate the greatest common factor of c and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4452*h**2 + 2774*h**2 + 2728*h**2 as f*h**2 + m + t*h and give f.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)*n)\/(n*n**(-2\/9)))\/(n\/n**(-2))**(-1\/4) assuming n is positive.\nAnswer: n**(317\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -15. Let j = 17 + n. Suppose v = 4*v - j. Solve -5*c + 1 = -c + u, v*u = c - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.73 + -19.07. Let o = -24.8 - y. What is the nearest to 15 in 4, -2\/3, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 1006?\nAnswer: 70.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51018988 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + 16. Suppose 2*v + 3*o = -2*o + 26, -o + z = 0. Solve -2*q = -v*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.9 + -8.9. Suppose -d + 3*d + 8 = 0. Put 0.5, d, w, -0.4 in ascending order.\nAnswer: d, -0.4, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -166, -193, -222, -253, -286, -321, -358?\n\"Answer: -u**2 - 24*u - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0432 and -0.091.\nAnswer: -0.1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -47. Suppose -2*c + q + 62 = 0, -t*c + 60 = 2*q - 14. Suppose 2*d - 8 = -3*p + 13, 2*d + 4*p = 22. What is the remainder when c is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105294658 and 12?\nAnswer: 631767948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9706 (b) -4 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15601, 31271, 46951, 62647, 78365, 94111, 109891?\n\"Answer: t**3 - t**2 + 15666*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 minus 20.1?\nAnswer: -20.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 20*x - 30 = 0, -3*x - 1966525 = 4*z - 1966548 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*w**5 - 73*w**3 + 28*w**2 - 51430*w wrt w.\nAnswer: -140*w**3 - 438*w + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035035813 * 0.1.\nAnswer: 0.0035035813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 8*w**2 + 2*w**2 + 3 - 3*w**2 + 6*w**2 - w**2 + (w - w**2 - w)*(-2 - 3 + 3) - 1 + 1 - w**2 - w**2 + 2*w**2 - 2*w**2 + 0*w**2 + 5*w**2 - w**2.\nAnswer: 3*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 21*s - 23. Calculate p(18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5583662 tonnes in kilograms?\nAnswer: 558.3662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62434841, -62434839, -62434837, -62434835, -62434833, -62434831?\n\"Answer: 2*c - 62434843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1081, -2155, -3227, -4297, -5365, -6431, -7495?\nAnswer: -8557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcmu when four letters picked without replacement from ccgcmccjucuj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4761 and -13\/2160459?\nAnswer: 49690557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = -4*g - 0*g, 0 = 3*g + 4*f - 11. Suppose -g = 3*d + 2. Which is the closest to 0.2? (a) 3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -18*t - 100. Let c(n) = 5*n - 2 - 2*n**3 + 3*n**3 + 3*n**2 + 3*n**2. Calculate c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 8*k\/7.\nAnswer: 2*k*(k - 2)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*y - 175 + 175)*(0*y**2 + 3*y**2 - 2*y**2) - 2*y**2 + 2*y**2 + 3*y**3 - y**3 + 0*y**3 + 2*y**3 + (4 - 1 - 5)*(-6*y**3 + y**3 + 3*y**3).\nAnswer: -49*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 77*r - 3746. What is x(48)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, d: 7, z: 4}. What is prob of sequence pzd?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/8)\/(7\/(-28))*((-13872)\/476)\/51.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + -8 + 2 + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 6, 2, 1\/5, 4, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viov when four letters picked without replacement from {o: 3, i: 4, v: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 22*w**2\/3 - 232*w + 1344 = 0.\nAnswer: 84\/11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 15) + 7 - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-30)*(-7110)\/23226?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 6*k. Is (2 + k + -4)*89\/(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.3 - 1.5. Let s = 22.8 - b. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42633 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -2967, -6603, -11683, -18201, -26151?\nAnswer: -35527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1230967\/3, -4 in ascending order.\nAnswer: -4, -1, 1230967\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 9*i + 35. Determine d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 70888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:37 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5622.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 331*i**2 - 10*i + 5. Let a(m) = -828*m**2 + 24*m - 12. Let r(s) = 5*a(s) + 12*p(s). Let l(u) = 2*u. Determine r(l(w)).\nAnswer: -672*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 50 + 265 = -5*u, 252 = 12*u - 16*u + 146*r for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 914 by -2.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 35\/98*14)*(-16)\/(-92).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57394977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - 68. Let o = -229\/4 + i. Is o < -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:52 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 319\/14944 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.327 + -5.327. Suppose -5*s + 8 = -q, 2*q + 2*q = 2*s + 4. What is the smallest value in i, -3\/4, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -35. What is the greatest common factor of 133 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 - 2*t**2 + 6. Let b(f) = 8*f**3 - 2*f**2 + 7. What is 4*b(y) - 5*d(y)?\nAnswer: -3*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1466, -5886, -13200, -23366, -36342, -52086, -70556, -91710?\n\"Answer: 7*a**3 - 1489*a**2 - 2*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 3*j - j)*(3 - 11 + 1)*(-3*j**2 + 2*j**2 - j**2) to b*j**2 + f*j + h + m*j**3 and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 1342*y**3 + 1356*y**3 + 5*y**2 - 3 - 5*y**2 to the form c + i*y**2 + z*y**3 + l*y and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-10))\/(6\/15). Suppose 1 = -f, 0 = -p*g + 5*f + 3 + 22. Suppose g = u - 0*u. Solve u*w - 22 = 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -36, -2\/7 in decreasing order.\nAnswer: -2\/9, -2\/7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -21, 2, -585, 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 10) to base 11.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.71545588 + 3.1754544. Let f = b - -0.54. Round f to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c**2 - 33*c**2 - 2*c**2 + 19*c**2.\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o - 8. Calculate the least common multiple of 56 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(-287*(-120)\/118080)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -26*q + 72. Let d(k) be the first derivative of -3*k**4\/4 - k**3\/3 + 1. Calculate the least common multiple of d(-1) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*a + 8, 8137*f - 8140*f + 20 = -5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 137*f**2 - 15975 + 15976 - f as m*f**2 + o*f + b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -17 + (-9 - -16) + -1 + 24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 - 4*j**2 + 5*j - 2. Let u be p(3). Let x = -1 + u. Suppose 7*y = 4*y + x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -57 + 14442*w - 4814*w - 4814*w - 4818*w. Let v(x) = -2*x - 28. Calculate -4*t(a) + 9*v(a).\nAnswer: -2*a - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {y: 1, r: 8, o: 3, n: 6}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*d - 186*d + 5*d**3 - 25 to the form y*d**3 + g*d**2 + q*d + w and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let z(k) = -5*k - 4*k + 4*k**2 + k**2. Let o(t) = -4*t - 264*t**2 + 5*t + 263*t**2. Let f(p) = 18*o(p) + 2*z(p). Determine r(f(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/((-5)\/15). Let h = -0.04871 - -0.03871. Suppose 2*t = 3*g - 0*t + 14, 5*g - 2*t + 18 = 0. What is the second smallest value in i, h, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**4 + 38*k**3 - 140*k**2 + 169*k - 65. Let s(w) = 10*w**4 - 56*w**3 + 208*w**2 - 253*w + 98. Let p(c) = 7*q(c) + 5*s(c). Factor p(u).\nAnswer: (u - 7)*(u - 5)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 19 - 1 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*o - 171108, 19650 = -3*o - 3*i + 190734. Suppose -4*d + o = 5*z, -9644 = -d + 3*z + 4631. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-9)\/k*k\/(k\/k**(-7))*k*k**(-22)*k\/(k\/k**(1\/26)) assuming k is positive.\nAnswer: k**(-987\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -6771 + 5951. Is t < -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1882, 1890, 1900, 1912, 1926, 1942?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:41 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/2 + -8)*2. Is (13391 + 4 - 8)*1\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00889813 to four dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*y + 38, 2 + 1 = x + 2*y. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6889777 + 4918257. Let o = k - -721520. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 3, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*m - 5551 + 14770 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, -1\/3, -2\/907, -0.07, 5 in decreasing order.\nAnswer: 31, 5, -2\/907, -0.07, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4724?\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501718.\nAnswer: 2, 3, 37, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 1, h: 3, y: 7, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 1\/8*w**3 + 3*w - 1\/8*w**2 + 1\/80*w**5 - 1\/16*w**4 + 0. Find o such that c(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 2 (c) -2\/11 (d) 570 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*m = -369, 13*m = 5*p + 8*m - 375. Let h be (-6)\/18*-27*1. Calculate the highest common divisor of h and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11191 - -11192. Which is the nearest to 3\/2? (a) 3 (b) -3 (c) y (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4801 is divided by 4788.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*4)*-1 - sqrt(77))\/sqrt(11) - (sqrt(847)*1 + 3)**2)*5.\nAnswer: -4280 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 1. Let v(i) = -7*i**3 - 3*i + 2. Let q(m) = 19*m**3 + m**2 + 8*m - 7. Let c(l) = -4*q(l) - 11*v(l). Calculate c(h) - 4*r(h).\nAnswer: h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 10*g**2 + 7*g - 13. Let k be c(-9). Suppose -4*i - 120 = -5*n - 9*i, 0 = k*n + 4*i - 118. Calculate the highest common divisor of 242 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.935036 millennia?\nAnswer: 7935.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*s - 291, s + 3 - 102 = -w. Suppose t + 4*n = 4*t - s, -2*n - 4 = 0. Solve -4*p + 6*p - t = -4*h, -2*p - 3*h + 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/753, -7\/57, 1 in ascending order.\nAnswer: -7\/57, 2\/753, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 2, e: 2, t: 7}. Give prob of picking 1 p and 1 e.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5256*b**4*f + b**4 - 161*b**3*f + 557*b**2*f + 23*b**2 - 72*b*f - 2 wrt b?\nAnswer: -126144*b*f + 24*b - 966*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(85) + 6*sqrt(85)*1 + sqrt(85) + sqrt(85))*-3)\/(1*sqrt(320)*-1) + -4).\nAnswer: -20 + 135*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 6}. What is prob of picking 3 u?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1196714*s**5 - 483805*s**2.\nAnswer: -71802840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/25? (a) 6 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**19)\/((u*u**17)\/u)*(u*u**(-8)*u*u)**(-10) assuming u is positive.\nAnswer: u**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:40 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100001110101000001101110111 + -101?\nAnswer: 110100001110101000001101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 7*b**2 - 2*b + 10. Let h be r(-6). Is (-79)\/(-11) - h\/(-77) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 1, j: 1}. Give prob of sequence ccj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(637) + 1))**2 - (1 + sqrt(637) + -4)) + 3.\nAnswer: 343*sqrt(13) + 15956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(108)*-1)**2.\nAnswer: 48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -117. Suppose v*s - 4*n = 2688, 8*n = -5*s + 7*n + 3360. What is s rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -8*s**7\/105 + 8*s**3\/3 - 37*s**2. What is the derivative of d(f) wrt f?\nAnswer: -64*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25382 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95*f**4*w**2 + 2*f*w**3 - f*w + 397*w**3 + 6 wrt f.\nAnswer: 380*f**3*w**2 + 2*w**3 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028691938 rounded to 4 decimal places?\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 3*w**4 - 63*w**3 + 53*w**3 + 0 + w - 1 in the form o*w**3 + x*w**4 + k + j*w**2 + i*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose 0 = 4*s - 3*c - 127, -w*c + 142 = 3*s + s. What is the remainder when s is divided by 36\/8*(-16)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {p: 2, x: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121102200012 (base 3) in base 9?\nAnswer: 542605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 73579.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 3. Let k be p(-2). Differentiate -2*y - 4*y + y + k + 3 with respect to y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3955\/5109 or -2?\nAnswer: -3955\/5109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 5*z - z + 32 = 0. Let s = 5 + z. Sort o, 3, s in descending order.\nAnswer: 3, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 - 2*q + 3. Let k be (-156)\/27 + 2\/(-9). Is w(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.4, 0.1, -1\/4, -21.\nAnswer: -21, -8, -1\/4, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124435 divided by -205.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/460*(-1)\/(-2)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -37.91. Let f = q + -0.91. Put f, -4, -35 in increasing order.\nAnswer: -35, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-25\/3)\/u)\/u)\/u)**12 assuming u is positive.\nAnswer: u**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 3. Let u(c) = -c. Let j(g) = -m(g) + 4*u(g). Let o(w) = -2*w + 1. Calculate 4*j(q) - 14*o(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -68?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-15))\/((-8438)\/126570)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7*203\/58.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1464, 3258, 5028, 6774, 8496, 10194?\n\"Answer: -12*x**2 + 1830*x - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.48256 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2677 + 0.267696967. Round t to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -58245*d**5 - 174745*d**4 + 349440*d**3 + 1630920*d**2 + 1398160*d + 240 = 0. Calculate d.\nAnswer: -2, -2\/11649, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 428 = 2784. Let g = -2\/11059361 + -160659337211\/199068498. Let x = p - g. What is the common denominator of x and -43\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 257 and 2056.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 28 + (2 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -0.3, 1\/5, 56315, 0.5?\nAnswer: 56315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 90.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 11777.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24 = 3*z - 129, -l + 2 = 0. Suppose -3*i + 4*g + 106 = -i, 5*i - 5*g - 255 = 0. Calculate the highest common divisor of z and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-28 + 16 - -17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(19) - (sqrt(19) + (sqrt(76) + -1 + sqrt(76))**2) - sqrt(931)*1)*6.\nAnswer: -18*sqrt(19) + 5493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12074*m*v**3 - 4*m*v**2 - 69*m + 17*v**3 + 2*v**2 + 4141*v wrt v.\nAnswer: -72444*m + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 1. Let o be n(-3). Let g(k) = k**2 + k - 4. Calculate the remainder when 27 is divided by g(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 71 - 1. Solve l = 4*a - v*a + 7, l - 2*a = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b + 84 = 0. Let v = 39 + b. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2352, -9430, -21204, -37656, -58768, -84522?\nAnswer: -114900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040602955 rounded to 6 decimal places?\nAnswer: 0.00406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8951093 is divided by 11655?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**5\/10 - 3*a**4\/8 - a**3\/6 + 3*a**2\/4 + a + 16. Determine f, given that y(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 600*z + 7812.\nAnswer: 3*(z + 14)*(z + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 times -0.108?\nAnswer: -12.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865 + 225 = -4*b. Suppose -a - b = 5*v, 0*a = v + 4*a + 13. Let n be 57\/231 + (-6)\/v. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*b = 10, 3*b = -3*v - 2*v + 56. Suppose v*h = 4*h + 12. What is the third derivative of -3*g**4 + 94*g**h - 112*g**2 + 0*g**4 wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289237 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021023011222 + 22?\nAnswer: -1021023011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/111 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 2. Let d = n - -3.4. Let z = 0.599952 + d. What is z rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 79884640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155*r**2 - 3*r*s**2 - 198*s**2 with respect to r.\nAnswer: -310*r - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - 3*c)*(-4*c - c + 2*c)*(-2*c - 2*c + c)*(0*c - c + 2*c)*(9 - 9 + 6*c).\nAnswer: -162*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 22 + 373 = 140*u. Let a(y) be the first derivative of 0*y**u + 19*y - 23 + 0*y**4 - 7\/5*y**5 + 0*y**2. Differentiate a(x) with respect to x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 54568479?\nAnswer: 16370543.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 231170512?\nAnswer: -231170513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 12:11 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -914, -913, -912, -911?\n\"Answer: p - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-158125)\/(-5060))\/(15\/(-12))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 14 = 2*n, -5*n - 5 = 5*p. Let q be ((-3)\/((-4)\/p))\/1. Suppose 4*u + q = 23. Solve -3*x + 18 = -u*v, x = 2*v + 4*x + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61734265?\nAnswer: 5, 47, 443, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 18\/22) + (7520\/6016)\/((-110)\/5472).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j. Let y be t(-6). Let o be 3\/(-1) - y\/(-4). Solve 5*v - o*w + 4 - 39 = 0, -3*v = -w - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 + 2*l + 1. Let n be w(-1). Suppose n = -4*i + 14 + 2. Suppose -i = -2*o + 6. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/18 - (-1807)\/(-117)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1330376?\nAnswer: -3\/1330376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 10) to base 8\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((-20 - (-30 + 14)) + -14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 4 in decreasing order.\nAnswer: 10, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 x when four letters picked without replacement from xxnxxxxxxxxxxnxnxxnx?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 386\/(-60) - 44\/66 and 101\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 387936278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7805968 times 4?\nAnswer: 31223872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 420316?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30*r = 34*r + 42, -4*j - 4*r = 36. Let s(y) = 23*y + 147. Let q be s(j). Solve 9 = -9*i - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3402314*m**3 - 10535*m - 4.\nAnswer: -20413884*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17133 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -257, -516, -877, -1352, -1953, -2692, -3581?\nAnswer: -4632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + 60\/27. Let g = 2 - c. Let b = 6 + g. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/7, -0.2, 6, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7182 and 567.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 a factor of 10841355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-530)\/45 + 89 + -77?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/5)*y)**(-1\/39))**(-1\/53))**(-2\/151))**(-32) assuming y is positive.\nAnswer: y**(448\/1560585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -0.01, -0.5, 345.5, -15?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 5\/2 (c) -118537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 27*k = -31. Let p = -10 + 16. Let z be (-1)\/2*4*p. Sort k, 2, 3, z in increasing order.\nAnswer: z, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 + 5*b - 7. Let x be i(-6). Which is smaller: -3\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 + 9*y + 16. Let g be s(-7). Solve 2*i = -m, m - 2 = i - g*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22320, 5, -2\/25, 2\/13, -2\/21, -0.33, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4415959179?\nAnswer: 3, 14869, 32999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310322 + -2?\nAnswer: -310330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2516999 or 2516997?\nAnswer: 2516997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, c: 8, o: 2, u: 2}. What is prob of picking 1 n and 1 c?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**2)*(-19*n + 3*n + 6*n) + (2*n**2 - 2 + 2)*(4 + 2*n - 4) + 2*n**3 + 2*n**2 - 2*n**2 + 3*n**3 - 3*n**3 - 3*n**3.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84030 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m + 6 + 1 - 7. Let o(l) be the second derivative of l**3\/6 + 2*l. Give w(o(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 9*m + 42 = 0, s + 3497*m = 3501*m + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -439, -427, -413, -397?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 - -395. What is the lowest common multiple of k and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2)*(65*x - 1 + 1 + (3*x + 0*x - x)*(-2 - 1 + 5)).\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/9)\/(2\/(-78)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -883599*t**2 - 682757*t wrt t.\nAnswer: -1767198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.97 - -0.27. Let v = -4 - b. Suppose 0 = -12*h + 68 - 20. Put -4, h, v in decreasing order.\nAnswer: h, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4862\/858)\/(1*((-21)\/27)\/7)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = w - 33 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -0.02, 1\/7117 in ascending order.\nAnswer: -0.3, -0.02, 1\/7117, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3802 + 3826. Let g = 17 - 1. Calculate the highest common factor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d + 3*g, -4 = -2*d - 2*g + 2. Let o(t) = t. Let x be o(d). Let b = x + 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.031745 kilograms to micrograms.\nAnswer: 7031745000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/29 + (-19173)\/13398. What is the fifth biggest value in 4, 4\/7, r, 3\/4, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9468 and 10188?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18700, 37421, 56142?\nAnswer: 74863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - 2*l - 260. Let y be g(0). Calculate the common denominator of 117\/y + (-2)\/4 and -55\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(36)\/(sqrt(4) + sqrt(4)*1 + sqrt(4)))\/(sqrt(6)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + l**3 + l**3)*(2 - 3 + 3).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21622650?\nAnswer: 2, 3, 5, 7, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0453295177 to five decimal places.\nAnswer: 0.04533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 183, -0.2, 62.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-25)\/(-350))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**2 + 54\/5*m + 18\/5*m**3 - 12\/5.\nAnswer: 6*(m - 2)*(m - 1)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**3\/6 - o**2\/2 + o. Let s be b(-6). Suppose -58 = -39*l + 215. Solve 7 = s*y - 3*p, -3*y + 2*p - 23 = l*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5678128 - -5.\nAnswer: -5678123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -323 and 52.\nAnswer: -16796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796 is divided by 75.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -0.176. Let u = i - -0.09. Let k = u - -0.116. Which is the fourth smallest value? (a) 3\/2 (b) k (c) 5 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 5*b - 114, -103 = -3*v - 5*b. Suppose -4*g + 37 = -v. Suppose -4*u + 334 = -74. Calculate the highest common divisor of g and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 + -663. Let x = -615 - q. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406100 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 66*p**2 + 922*p - 20. What is the units digit of w(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.669434ml to litres.\nAnswer: 0.000669434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 737 and 13266?\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y + 251100 = 108*y + 64*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1673 in -1\/15, -2\/15, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3144056 (base 8) in base 7?\nAnswer: -10056132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(5\/2 + -1). Calculate the smallest common multiple of (-3)\/1*(-120)\/18 and 10*w*(-1)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let w(g) = 30*g + 31*g - 58*g. What is c(w(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -99 and -113?\nAnswer: 11187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t + 160*t + 650 = 326*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10123, -10062, -9955, -9796, -9579?\n\"Answer: o**3 + 17*o**2 + 3*o - 10144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l - 4*w, -19*l + 14*l - w - 5 = 0. Sort -3, -0.21, l, 0 in ascending order.\nAnswer: -3, l, -0.21, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18657234 divided by -1?\nAnswer: 18657234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 21*h - 2*y = 11, 2*h - 2*y - 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 6*r + 3. Let p be x(6). Let j be 12\/p - (-24)\/6. Let n(s) = s. Let k be n(4). Solve -k*b - 8 = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1778*j**2 + 12*j - 1. Is 13 a factor of b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301 (base 5) in base 11?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -62*z**4 - 8*z**3 + 4*z**2 - 50. Let i(h) = -61*h**4 - 10*h**3 + 5*h**2 - 50. Let n(r) = -4*i(r) + 5*t(r). Find the first derivative of n(y) wrt y.\nAnswer: -264*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -163, 38405 in descending order.\nAnswer: 38405, 6, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 14 - 17)*(-47*y**3 + 104 - 104)*(-2 + 3 - 2).\nAnswer: 1034*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3385000 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n**3 - n**2 + 32*n + 32. Let v = -5 - -8. Let r(c) = -8*c**v + 1 - 2*c**3 + 5*c**3 + 11*c + 10. Let d(j) = -6*a(j) + 17*r(j). Calculate d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/10 and (-5)\/20 + (-94)\/16.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6714 and 27973881.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116936140?\nAnswer: 2, 5, 23, 254209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Let i(y) = -6*y - 1. Let s be i(2). Let z = 9 + s. What is the nearest to r in z, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 8) in base 6?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*i = -16 + 17, 5*t + 50 = 2*t - 5*i for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879*o**2 - 862*o**2 + 1725*o**2 + 4*o - 966.\nAnswer: -16*o**2 + 4*o - 966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.80612798 to one dp.\nAnswer: -94.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -0.1, -11, -0.035933 in descending order.\nAnswer: 28, -0.035933, -0.1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose -1 = -m*i + 11. What is the closest to -1\/4 in i, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15186.99999977684 + -15187. What is w rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 710, 697, -24, -1447, -3566, -6375, -9868?\n\"Answer: y**3 - 360*y**2 + 1060*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 35*y = -644. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341*b**3 - 5*b**2 - b**4 - 2 - 339*b**3 + 2*b**2 + 3*b to the form t*b**3 + u*b**4 + j*b**2 + r*b + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - 4*n)*(-1 - n + 1)*(-8*n**3 + 4*n**3 - 2*n**3).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211301207 to the power of 1\/3, to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-16\/3)\/q*q**(-1\/5)\/q*(q**7)**(-1\/77))**(-15) assuming q is positive.\nAnswer: q**(1258\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(2 - 4). Suppose -2*s = -m - 35. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/5)\/((-417)\/((-225180)\/216)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1041539 by 88.\nAnswer: 1041539\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 51.7.\nAnswer: 51.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208705326 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/30 - 37*k**2. Let b = 8 - 7. Let f(t) = -t. Let o(l) = 7*l**2 + 6*l. Let i(n) = b*o(n) + 6*f(n). What is i(p(r))?\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 11. Give n(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-5 - 1) + 5. Suppose -1 = -h - j, 5*h = -2*j + 4*j - g. Let y(o) = o**3 + 7*o**2 - o - 5. Let m be y(-7). Put m, 0, h in descending order.\nAnswer: m, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let c(r) = -4 - p*r + r - 1 - r. Let k(h) = 11*h + 182. Let u be k(-17). Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:35 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - 6 - (1 + 0). Suppose -p*c = 5*n - 0*c - 31, -2*c = -3*n + 25. What is the greatest common divisor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 23. Let j be (g\/(-6))\/((-3)\/(-8)). Solve j*t = 4 - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*r = -44, -2*z - 3*r + 1118 = 1112 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 - 184 - 11*u + 185 + 2*u**4 + 13*u + 12*u + 19*u**2 to g*u**2 + v*u + t + y*u**3 + l*u**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 4*s - 2. Let m be x(-2). Let k be (92\/m)\/1*(-12)\/8. Let h be k - -25 - 26200002*1. Round h to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876156?\nAnswer: 2, 3, 73013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**4*c + 5066262*b*c - 3470769*c wrt b?\nAnswer: 8*b**3*c + 5066262*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 4*m + 3*m. Suppose -2*y = -4*i - 0*y - 4, 0 = -4*i - y - 10. Let o be 1 - (i - 4\/(-1)). Determine f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/23, 2.0208 in descending order.\nAnswer: 2.0208, 2\/23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 7 + 73\/(-57). Let k be (-7)\/(-21)*3\/19. Let r = l - k. What is the second smallest value in 2\/3, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81) - -2*sqrt(81))\/((sqrt(9)*1)\/sqrt(3)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 0 + sqrt(242) + sqrt(242)*-1*-5 - (-1 + sqrt(242) + sqrt(242) + -5 - (-4 + sqrt(242) + 1)))**2.\nAnswer: 880*sqrt(2) + 6112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 6 - (3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.577566 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/(-33) - (3 + -6146) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w + 6. Let z be s(-7). Determine h, given that -10 + z*h + 2*h - 28*h**3 + 20*h + 24*h**4 + 2 - 16*h**2 = 0.\nAnswer: -1, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 282233221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5604, 22400, 50386, 89556, 139904?\nAnswer: 201424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1527*t - 453. Let u be a(2). Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.067 (b) -3 (c) 1\/5 (d) 11 (e) -0.06 (f) 245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (10 - 2) - 4 - (7 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/30)\/i)\/i*i*(i\/(i\/i**(-10)))\/i*i assuming i is positive.\nAnswer: i**(-329\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 301 + 1937 = 2*n, 4*n = 12. Let l = 16 + z. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -10. Let u = -14 + 17. Suppose 13*x - 10*x + 12 = -3*r, 0 = 2*x + 4. Put u, j, r in ascending order.\nAnswer: r, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {o: 7, c: 6, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*a = -3, -61*m + a = -56*m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20314 + 29424. List the prime factors of n.\nAnswer: 2, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x + 18. Let s(c) = -2*c - 7. What is the units digit of s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 62. Suppose -5*r + 0*o = -5*o + 5, 3 = -3*o. Is r >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 - ((-39170)\/(-6200) - (-18)\/(-12)) and 91\/186.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*m**4 + m**3 + 206*m - 5?\nAnswer: 516*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, -1, -5 in increasing order.\nAnswer: -15, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w + 224164. Let d(h) = -h. Determine s(d(j)).\nAnswer: -j**2 + 7*j + 224164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*((g*g**4*g)\/g)\/g)**(2\/77) assuming g is positive.\nAnswer: g**(2\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*w - y, w - 228*y + 233*y - 11 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.8.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 19*t**7\/105 - 17*t**3\/3 - 2*t**2 - 18. Differentiate m(d) with respect to d.\nAnswer: 152*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32457209?\nAnswer: 23, 1411183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5061 divided by 8.\nAnswer: -5061\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140174 and 155606.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0266 and 0.2.\nAnswer: -0.00532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1462*p - 121438. Determine i(-83).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**4 - 13*c**4 - 2*c**4)*(3*c + 3*c - 5*c)*(-14 - 13 + 7)*(-4 + 4 - 2)*(-1 - 1 + 0)*(-2 - 2 + 1).\nAnswer: -2400*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25538.94 kilometers to millimeters.\nAnswer: 25538940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 120 = 4*b, -5*o - 29 = -4*o + 5*b. Is o greater than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118, -454, -1028, -1852, -2938?\n\"Answer: -2*q**3 - 107*q**2 - q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/28917695?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 2, i: 1, s: 10, x: 3}. Give prob of picking 1 g and 1 m.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 - 11*q**3\/2 - 341*q**2\/2 + 711*q\/2 - 180.\nAnswer: (q - 24)*(q - 1)**2*(q + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvpvvvvvvt. What is prob of sequence ptpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 13389519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 16 - 113*o)*(8 - 1 - 5) to z*o + a and give z.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11 + 26 = 0. Solve 6*z - o = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -476 - -2881\/6. Suppose 0 = -2*b - 4*o + 6*o, -4*b - 4*o = 24. Let x be (9\/b)\/(1 + -2). Is x >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k**2 + 3*k + 3. Let n(a) = -14*a - 23 + 13*a**3 - 22*a**2 - 5*a**3 + 1 + 4*a - 12*a. Give 6*n(g) + 44*u(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-2))\/((-32864)\/12064) + (-1)\/((-2)\/7)?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*k + 6*w - 37, 0 = -k - 3*w + 10. Let c(f) = 16*f - 26. Determine c(k).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 17 - 1)*(-2*f**2 + 2*f**2 + 3*f**2) + 5*f**2 + 2*f**2 - 6*f**2.\nAnswer: -101*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 9*y + 8. Let v be k(8). Let r be (50 - 3) + 1 + -6. Let q = r - v. Calculate the greatest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i**10)\/((i*i*i**9)\/i**(-1\/13)) assuming i is positive.\nAnswer: i**(-29\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -40, -2, -3, -4, -5, 242?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6546 - 3926. Suppose -13*r + w + 32 = 0. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -239*a + 12. Let p(y) = -2*y + 2. Give -o(v) + 4*p(v).\nAnswer: 231*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u + 1. Suppose 0 = 16*s - 11*s + 15. Give b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 15*d**2 + 13*d - 11. Give f(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105223024 to the nearest integer?\nAnswer: 10258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2 - 7*n - 3. Let r be h(-5). Let z be 3\/(-7) - (-18565)\/329. Calculate the highest common factor of z and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1751.\nAnswer: -7004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5298300.\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 938.\nAnswer: 281400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 13*c**2 + 3*c + 108. Let f be x(12). Solve -4*b = v - 3, b + f*v = v - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*g + 53 + 56 - 2*g**4 - 107 - g to v*g**2 + b*g + u + h*g**4 + j*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 3598 - 215. Suppose 0 = -4*u + 4*z + 432, -2*z = 2*u - 29 - m. What are the prime factors of u?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16508 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 20. Suppose -97 = -5*p - d, -2*p - d = d - 34. Let i = -9 + p. Calculate the smallest common multiple of u and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 31*u**2 + 346*u - 14. Calculate v(-23).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.15761 - 0.27649. What is y rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let f be (-89 + -10)\/(-11) - -16. Let j(a) be the second derivative of -f*a + 0 - 3\/2*a**3 + 0*a**2. Give j(s(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1*4 - (2 + (sqrt(2) - (sqrt(2)*3 - sqrt(2) - sqrt(2))))) + -4 - ((1 + sqrt(7200)*1 - sqrt(7200))*3)**2)*4.\nAnswer: -60 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - -4 - 145 - -4. Let r = -83 - u. Let f = r + -34. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/637 and -17\/298116?\nAnswer: 298116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/((-735)\/(-56)))\/(8\/(-28)). Suppose -8*a + 20 = -5*j - 4*a, -10 = -2*a. Suppose j = -y*x + 5*x - 58. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -775 + 1040. List the prime factors of c.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.016\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 4*m**2 + 75*m + 306. Calculate v(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25355 and 7609140?\nAnswer: 3507813540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157331 by -131.\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 3.6194\nAnswer: -10.8582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 16*u**2 - 3*u**2 + 5*u**2 + 2 in the form l*u**2 + a + f*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000101110101111001 (base 2) in base 6?\nAnswer: -44334533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (152\/20 - 7) + 112\/5. Suppose -m*d = -d - 550. Calculate the remainder when 38 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023107268 to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 6346744?\nAnswer: -6346743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(-1 - -2 - 1). Suppose 0*d + 94 = 4*d - 5*s, j = d + 3*s - 32. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x + 5*u - 18, 0 = 3*u - 9. Suppose 9 + 6 = x*o. Solve -o*h + 3 = 2*s - 4, 0 = -5*h + 3*s + 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:23 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*a - 24 + 5, 2*a + 10 = 2*k. What is the tens digit of 72 - a - (4 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.5 (b) 6\/5 (c) 6 (d) -1\/7 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-56)\/(-5))\/((-20)\/(-50)). Let z(d) = 22*d**2 + 3*d - 10*d + p*d**2 - 42*d**2. Let s(k) = -2*k**2. What is s(z(a))?\nAnswer: -128*a**4 + 224*a**3 - 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53895930 = -0*w + 6*w. Let r = 32682655 + w. What is r rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935*r**3 - 932*r**3 - 4476*r**3.\nAnswer: -7343*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600716.\nAnswer: 2, 79, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*(c\/(c*c*c*c\/((c*c\/(c\/((c*c*c**(1\/15)\/c)\/c))*c)\/c))*c)\/c)\/(c**(-7)\/c**1) assuming c is positive.\nAnswer: c**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -124302423?\nAnswer: -124302511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {b: 5, j: 4, n: 5}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -13 - -135 - 58.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.026 - 0.075. Let z = 0.149 + y. What is the nearest to 0 in 0.5, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, y: 1, a: 4, i: 4, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4454*n**3 - 25 - 8*n - 2*n**4 - 4454*n**3 wrt n.\nAnswer: -8*n**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50614795 divided by -1715.\nAnswer: -29513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 914\/(-42) + (-5)\/((-90)\/(-12)). Let s = 145\/7 + z. Are s and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h - 12. What is the first derivative of 0 - 2*k**h - 1 + 3 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*s + 47*s = 80*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -0.7. Let a = 7917 + -7917.5. What is the nearest to g in a, 2\/11, -10, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 6*o**2 - 24*o + 25. Let v be a(11). Suppose 4*h - v = 74. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 17322\/7*q**3 + 2346*q**2 - 2475*q + 453\/7*q**4 + 3\/7*q**5 - 16875\/7 = 0.\nAnswer: -75, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*p = -18, -4*s - 2*p = 2*p. Suppose -151 = -s*d + 5. Suppose 156 = 3*j + j - 2*i, 0 = -2*j - i + d. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -674, -1\/21, 7 in ascending order.\nAnswer: -674, -1\/21, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 - h. Let x(n) = -6*n**3 - 4*n**2 - 6*n - 3. Let c(s) = 5*a(s) - x(s). Determine c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:48 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 690845?\nAnswer: 690845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 22, -5, 0, -1, 25 in ascending order.\nAnswer: -9, -5, -4, -1, 0, 22, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -954a4 (base 13) in base 2?\nAnswer: -1000001101000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 103862.\nAnswer: 415448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4050 + -0.053.\nAnswer: -4050.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5902 and 39.\nAnswer: 17706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.02, -32\/55, 33?\nAnswer: -32\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/17 (b) 3\/32 (c) 11 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5161720 and 1280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59335*i - 62216*i + 411983 = 0 for i.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - ((-29 - -13 - -6) + 3 - (-15 - 1))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-20))\/(15\/(-68620)). Is 6861 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.564 minus 624720619?\nAnswer: -624720619.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 35132.\nAnswer: 3899652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 = 5*n - 4*n. List the prime factors of n.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 2*r - r. Let t(k) be the second derivative of 0 + 2*k + 0*k**3 - 5\/12*k**4 + 0*k**2. Give s(t(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from ewe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1080079?\nAnswer: 1080076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b - 1. Let s be c(-1). Let g be (-16)\/6*s\/(-8). Find the third derivative of -16*m + 16*m + 4*m**g - m**2 wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125534 + 125635.978. Let l = -102 + m. Let p = l + -0.138. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnn. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812960512 by -8.\nAnswer: 101620064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 > -313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 10, 20, 30, 40, 50?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2747.638 - -6.862. What is w rounded to the nearest ten?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(473\/132) - 615\/41.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let v(l) = l**3 - 3*l**2 - 8*l + 10. Let p be v(o). Let r(t) = -t**3 - 7*t**2 - 6*t + 8. Calculate r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 11:41 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2))\/(p*p**(7\/2)))**(-13\/2))**(-1\/15) assuming p is positive.\nAnswer: p**(-143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1217 = -5*v - 2*m + m, 0 = -4*m - 12. Let l = -167 + v. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 5. Suppose 30 = 2*k + 3*k. Let t = 11 - k. Give o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010110101111101 (base 2) to base 10\nAnswer: -372093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52, 106, 264, 422, 580, 738?\n\"Answer: 158*a - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 66 = 75 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1777*i**4 - 345*i**3 - 7992507*i**2 wrt i?\nAnswer: -42648*i - 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6532 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 31*y + 33. What is r(-38)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611\/315 + 6\/35. Suppose -5*p - 128 = 2*h + 12, 0 = 5*p + h + 135. Calculate the common denominator of z and 3 - ((-38)\/p + -2).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*k**5 + 293571*k**4 + 1027407*k**3 - 880671*k**2 - 1027413*k + 587100 = 0. What is k?\nAnswer: -48925, -4, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g. Suppose 0*b - 2*b - 5*m + 53 = g, -m = -1. What is the units digit of (b\/(-9))\/((-5)\/45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229*o + 8*o**2 - 229*o - o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 10, k: 1, n: 2, h: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3 - 175083747*l**2 + 350167503*l - 175083753 = 0.\nAnswer: -58361251, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 610\/28 - 6\/21 and -69\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-5)\/2*-1. Suppose -45 = 2*f + 9. Let w be (-9)\/f - 16\/(-6). Are w and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = x + 3*j, 2*x + 2*j - 42 = -30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 102*h**3 - 18*h**2 + 46*h - 6. What is the hundreds digit of c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**2*t)\/t)\/t*t**(2\/21))**(-2\/17) assuming t is positive.\nAnswer: t**(80\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686851 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-10) + 40\/260*91. Let p be 2\/(-2) + (-8)\/(-6). Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 455. Let o be (-2)\/((-8)\/6 + 561\/414). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 37\/7, -4412, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4736*b = 7693 + 4101 + 54510 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266 or 57?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 + 69. Let x be t\/(-3) + 1\/(-3) + 0. Solve -2*m = 2*j + 8 + 4, -x = 4*j + 3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7668993, -7669000, -7669007, -7669014, -7669021, -7669028?\nAnswer: -7669035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 58, -0.3, -5?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-28)\/147*(-8250)\/(-44)*1\/(-5)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77121 or -74465?\nAnswer: -77121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -8587?\nAnswer: 8583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196, 1626, 5488, 12988, 25332, 43726?\n\"Answer: 201*x**3 + 10*x**2 - 7*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from wwvvvwwccwcvwwc?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 5*i**2 + 39119 - i**3 + 3*i**3.\nAnswer: 2*i**3 + 39119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 + 81 = -8*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419 + -287. What is z rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 g, and 1 k when four letters picked without replacement from {k: 3, g: 1, i: 4, x: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -59*o**2. Let r(z) be the first derivative of z**2 - 1041. Give r(q(v)).\nAnswer: -118*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 6*j**2 - j**2)*(-2*j + 1 - 1) + 3*j**3 - 4*j**3 + 2*j**3 + (7*j**2 - 3*j**2 + 3*j**2)*(-j - 5*j + 0*j) + 4*j**3 + 2*j**3 - 2*j**3.\nAnswer: -39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/2275069 and 73\/3018.\nAnswer: 13650414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7367 = 4*r - 9101. Suppose -2*f = -493 + r. Let i be (f\/(-9) + 0)*-7500. Round i to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 16*m. Let s be t(7). Suppose -c + s + 7 = 0. Calculate the remainder when 61 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80.3 and -0.5.\nAnswer: -40.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 29*p + 1\/4*p**4 + 23 + 3\/2*p**2 + 7\/3*p**3. Is k(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 15*z**2 - 56*z - 26. Give g(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 5*n**2 + 7*n. Let c be q(3). Solve c*u = -5*v + 4, -v - 4 = -u - 0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2 - 2\/3*s**3 + 0*s - 2. What is the second derivative of x(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Suppose 5 = -0*r - r, 2*r + 4 = -3*a. Sort 4, a, f in decreasing order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*s + 936 = 140*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 333 - 329. Solve -i*u + 26 = 42 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93\/26 + 113\/26. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -144334 (base 7) in base 4?\nAnswer: -12310303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -23*h + 36 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1133a5a - 5?\nAnswer: -1133a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 4*r - 4*u + 48344, 2*u = -r + 12087. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 9 = -3*z. Suppose -4*q = -q - z. What is the units digit of (q\/(-1))\/(-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 3*v + 2*v + 0*v - 224170.\nAnswer: 3*v - 224170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 15. Let o = -119 + l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141325273 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x - 1. Let u(y) = 108*y + 16. Let f(j) = 3*u(j) + 48*w(j). Let r(m) = -71*m**2. What is f(r(k))?\nAnswer: 852*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-24)\/20)\/((16\/(-20))\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3)\/w)**7*(w**6)**(1\/63) assuming w is positive.\nAnswer: w**(-439\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 26*i = -452. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 66, 118, 148, 144, 94?\n\"Answer: -2*m**3 + m**2 + 63*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1357 and 7981?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5 + 44*v**4 - 240*v**3 - 352*v**2 + 3040*v + 4800 = 0. What is v?\nAnswer: -2, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/7*(-128 + -1125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 0*d**2 - 4*d**2 - 7*d + 3*d**2 - 2. Let q(l) = l**2 + 6*l + 2. Suppose -x - 7 = 18. Let p = x - -20. Give p*y(z) - 6*q(z).\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 - 12 = 0. Which is the third biggest value? (a) o (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10199\/246 + -70\/41. Let t = 85\/2 + g. What is the third smallest value in t, 4\/5, 2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {l: 2, a: 2, d: 6, u: 2, o: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 7*q**4\/8 + 301*q**3\/6 - 4*q**2 + 16. What are the prime factors of b(31)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - 5) + -6 + 27 + -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j**3 + 4*j**2 - 10*j - 6. Let l be c(4). Let m = l + -209. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3600 is divided by 103.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5\/2 - 21693*j**4\/2 - 711549*j**3\/2 + 7576173*j**2\/2 - 11950578*j + 12243798 = 0.\nAnswer: -7198, -42, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 8:57 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3324055, -6648601, -9973149, -13297699, -16622251, -19946805, -23271361?\nAnswer: -26595919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 20. Suppose -d*l - 5*i + 20 = 0, -8 = -3*l - l + 4*i. Let c be l - 5 - (-3 + 1). Which is smaller: 0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21713009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 l when three letters picked without replacement from {f: 1, s: 1, l: 1, v: 5, z: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(8) + -2*(sqrt(18) - sqrt(2)) - (5 + sqrt(2)*2 + 2) - (4 + 1 + sqrt(200) + 0))**2.\nAnswer: 336*sqrt(2) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*v + 16*v. Suppose 2*t = -4*r + 7*t + 107, v = -2*r + t + 61. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6846)\/4890*18\/35)\/((-6)\/130)\nAnswer: 78\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) 0.1 (c) -2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + j + 12 = 0, 2*j - 4 = -3*z - z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 - 0.88. Let y = j - -0.8. Let p = 2 + -7. Which is the biggest value? (a) -0.5 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 33864198.\nAnswer: 507962970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -13 - 1) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)\/((-4)\/16). Let z(h) be the first derivative of h**2 - 6*h + 1. Let q(a) = -1 + 2 - 1 - 1. What is k*q(v) - z(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 142344?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 19. What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141265 - 43?\nAnswer: -141341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a kilogram in grams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t*t**(-6)\/t)\/t)*t*t**24)\/(t\/(t*t**(4\/3))*t*t\/(t*t**13)) assuming t is positive.\nAnswer: t**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*p + 2*d, 0 = -4*p + 2*p + 5*d + 2. Is 27\/4 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 + 2004511860*j\/7 - 334838983073388300\/7.\nAnswer: -3*(j - 334085310)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10) - (-39)\/(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 116*i**2 - 455*i + 835. What is g(112)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w - 47*w = 255. Suppose g - w = 2*b - 4*b, 3*g - 97 = -4*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.472 * -1.\nAnswer: -0.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 0, -3*v = 4*t - 4*v - 14. Suppose -15 = t*f - 0, 4*n - 4*f - 124 = 0. Suppose 28*j - n*j = 174. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -410 - -309.78.\nAnswer: -100.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 679781643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5271, 4236, 13743?\n\"Answer: 9507*b - 14778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22458 is divided by 3196?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.2 + -64. Suppose 238 = -3*n - 5*u - 256, -4*n - 2*u - 640 = 0. Which is the biggest value? (a) n (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -125. Suppose -v = -2*d + d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 635481 divided by -99.\nAnswer: -6419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001303427 rounded to six dps?\nAnswer: -0.001303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 6070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -223*t - 652. List the prime factors of c(-7).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44830, 89685, 134540, 179395, 224250, 269105?\n\"Answer: 44855*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 + 30*w + 19. What is the remainder when 1581 is divided by b(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -6. Let k = -0.9 + 0.5. Let x = -22 + 23. Sort i, x, k in ascending order.\nAnswer: i, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + (2 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2))**(1\/4)\/(c*c\/c**(-1\/5)*c**(-3)))**42)**(3\/5) assuming c is positive.\nAnswer: c**(189\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 94944019 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = 5*f + 5*z, -174*z - 484 = 4*f - 186*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**8\/1512 + 2*v**7\/945 - v**6\/270 - 2*v**5\/135 + v**4\/108 + 2*v**3\/27 + 4*v**2. Suppose o(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1409, -21422, -54781, -101486, -161537, -234934, -321677?\nAnswer: -421766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -87. What is the common denominator of 2\/3 and (-3)\/(-27)*(-177)\/(-2) - x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/7 and 53\/165823335.\nAnswer: 1160763345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -1, 2 in descending order.\nAnswer: 2, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrri. Give prob of picking 2 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*b**3 - 127*b**3 - 402*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from uullllaalauul.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3108, 3109, 3110?\nAnswer: 3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = -3. Let l be (2 + (-27)\/15)*t. What is the closest to 0.1 in l, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*a - 32 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -24. Let l(v) = 13320*v**2 - 13*v + 13. Let k be l(i). Let y = 2661883 - k. What is y rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2. Let d(q) = -q**2. Suppose -25*i = -23*i + 5*v + 27, 5*i = -4*v - 42. Determine i*p(m) + 21*d(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 9 + 35. Let y(w) = -w**3 - 9*w**2 + 12*w + 9. Let j be y(z). Let n = j - 65. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5708014 centuries to millennia.\nAnswer: 0.05708014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 40 = 0. Suppose -10*y = -12*y - 18. Let s = y - g. Solve -r - 3 - s = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 21*b**3 + 64*b - 64*b.\nAnswer: 21*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -20. Suppose 648 - 353 = 40*x - 1025. Calculate the greatest common factor of x and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/613747 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 18*n**2 - 18*n - 2. Let s be i(-17). Let k = -22 + s. Calculate the remainder when 82 is divided by (-2 + 6)*k\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/28*(-2 + -2 + 3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 0. Sort 2, 5, 16, t in descending order.\nAnswer: 16, 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108345+0.002423\nAnswer: 108345.002423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xorriihoy. What is prob of sequence xh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 39. Suppose 65 = -p + 40. Let k be i(p). Suppose -193*l - 3042*l**2 - k - 6591*l**3 - 13 - 275*l = 0. Calculate l.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43170 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 284\/8449*(-14)\/4\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -4*k, 0 - 9 = -3*k - 3*c. Let s(q) = k*q - q + 0*q - 4*q. Let d(w) = w. Give s(d(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464\/1155*(-1)\/(-8).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 20 = -3*j + 3*o, -11*o - 28 + 99 + 9 = -2*j - 69 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97391 by 36.\nAnswer: 97391\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + g + 6. Let d be x(3). Suppose w + 3*w - 400 = d. Calculate the highest common factor of 40 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000263 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(34) + sqrt(3400) + -2*sqrt(3400)))\/((sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72) - sqrt(72)*1))) - sqrt(72))*5).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/264*-20*(-8)\/210.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y - 2*f - 2, 2*f = 4*y - 14. Solve -2*s + 4*s = y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 406756340 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w\/(w*w*w\/(w**(-1\/5)\/w*w)*w*w))\/w)\/w)*w)\/w*w*w\/((w\/((w*w*w**(-1))\/w))\/w)*w)**23\/((w**(1\/3))**(2\/123))**(-15\/8) assuming w is positive.\nAnswer: w**(577141\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 45. Let f be g(-24). Suppose -f*z + 9 = -z + 3*j, -10 = -z + 4*j. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120880207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 4:09 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 1384*s - 1379*s - 20, -5*p - 35 = -6*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7424.418 hours?\nAnswer: 26727904800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -1037*j + 1042*j + 4*u, -4*j + 3*u - 75 = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 311 - 2*w**2 + 4*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let p = 1045 + -1049. Let x(z) = 5*z - 3. Let c(n) = -26*n + 16. Let h(b) = -3*c(b) - 16*x(b). Let d(f) = p*o(f) - 2*h(f). Calculate d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**2\/2 + 13*b + 3. Suppose -8 - 7 = -5*i, -2*i = -3*r + 27. Let j be n(r). Solve 3*y = -j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 1. Let y = 214 + -214. Let r be -5 + y + (-40)\/(-10). Let t(z) = z - 1. Determine r*m(u) + t(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 3*w**3 - 14926 + 14926.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130229191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6)*1)\/(28\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667981 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 348*m**2*u**2*v + 2*m**2*u**2 + 4*m**2*u*v - 15*m*v + u*v + 4*u wrt u?\nAnswer: 696*m**2*v + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*r - 2*h - 2*h, -5*r - 5*h = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 + 2*z - 25*z - 578 + 287.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u**5 + 51*u**4 + 18*u**3 = 0 for u.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-189)\/2)*-3)\/((-7)\/(-252)*4)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 8, b: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = 12. Let o(t) = -t**2 - 10*t + 11. Let m be o(-9). Let v(x) = m - 9 + 2*x - 12. Give v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k + 234. Does 29 divide q(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 79*r + 3. Is u(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287321.8374 rounded to the nearest one thousand?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o**4 - 335465*o**3\/6 + 153039*o**2 + 266435*o\/6 + 1697 = 0. What is o?\nAnswer: -1697, -2\/9, -1\/22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/(-20)*11\/(-88).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 29. Suppose 2210*n = 2213*n + 15. Let m(c) = -c - 15. Determine n*m(k) + 3*b(k).\nAnswer: -k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-355 + 350)\/(63\/(-18)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 88558 = 5*r, -6*b + 2*b + 5*r = -117984. List the prime factors of b.\nAnswer: 2, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.55 + 0.45. Put p, 1\/9, -2 in descending order.\nAnswer: p, 1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7594263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118795 - 30.\nAnswer: -118825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 11. Calculate the remainder when (-12)\/(3 - 182\/42) is divided by z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7035 + -7032. What is the fourth smallest value in 1, -4, q, 21, 2\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/8 - b**2. Let l(v) be the second derivative of -7*v**3\/6 + 9218*v. What is l(g(d))?\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 2*l. Let s(k) = 12*k - 6. Let n(t) = -6*f(t) - s(t). Let b(g) = 4*g**2 + 2. Let v(x) = -9*b(x) + 4*n(x). Let i(u) = -2*u. Determine i(v(j)).\nAnswer: 24*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/4))**(3\/4))**(24\/11))**6 assuming z is positive.\nAnswer: z**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(2736) + (sqrt(2736)*-1*3 - sqrt(2736))))**2.\nAnswer: 9849600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 6*f**2 - 5*f + 9. Let g be v(4). Let b be ((-7)\/g)\/(1\/9). Let d(c) = -c + 4*c - 4*c - 3. What is d(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 1 + 0 - 1 - 22*j**2.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/25 (b) -3 (c) -15 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 != -15\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20773 is divided by 763.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-646)\/(-10013) + 306\/62. Let m be (1\/2)\/(1\/54). Suppose x + 21 = 3*q, -x = q + 4*q - m. Solve -h + q*h = d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1292000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 10 - 5 + 5*o**4 + (115*o**3 + 50*o**3 + 332*o**3)*(o - 1 + 1).\nAnswer: 502*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Let g(n) be the second derivative of -n + 0 - 1\/120*n**6 - 3\/16*n**4 - 1\/4*n**2 + 1\/16*n**h + 7\/24*n**3. Factor g(u).\nAnswer: -(u - 2)*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 83.00359. Round h to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*z - 0. Let o be ((1 - -40) + 0 + 0)\/1. Let s = o - z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12500, -13324, -14148, -14972, -15796, -16620?\n\"Answer: -824*c - 11676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6608\/25, 17.1, -1\/3?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 711150370*z**3 + 818269421*z.\nAnswer: 4266902220*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.19 (b) 4 (c) 2\/5 (d) 780 (e) 2\/3 (f) -2\/13 (g) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(133)*-3)\/(sqrt(35)\/(sqrt(5)*-1)))**2 - (4 + (-1 + 0 + sqrt(2736) + sqrt(2736)*1)**2).\nAnswer: -10270 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62894*o**3 + 387*o**2 + o**4 + 17*o**4 - 62878*o**3 wrt o?\nAnswer: 432*o + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 2, x: 3, r: 1, m: 3}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/1*(-20)\/(-8). Suppose 3*b = -z*d + 19, 5*d + 0*b - 5*b = -5. Suppose -n + 7*l + 335 = 3*l, d*n = 3*l + 650. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-105)\/20 - -5)*-42496. What is the greatest common factor of 80 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1514451 (base 6) to base 9.\nAnswer: -143474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/24587 - 73739\/540914. Sort 3\/5, 0.58, d in decreasing order.\nAnswer: 3\/5, 0.58, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37919793\/134 - -282981. Let n be 3 - (995\/10)\/((-335)\/(-10)). Let w = n + f. Which is the second smallest value? (a) 3 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((9996\/11968)\/(-147))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.5 - 0.23246296.\nAnswer: -17.73246296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16824 divide 4252350251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 1, f: 3, c: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 484 + -407. What is the remainder when p is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + a = 43687, 0 = 4*w + 570*a - 573*a - 174783. What is the greatest common factor of 132 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 3) to base 15.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*v - 2*f, 5*v - 896*f + 22 = -895*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 1312?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100202210120?\nAnswer: 100202210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 0*t + 5*t. Let h = -72 - -74. Let l(j) = -2*j - h*j + 6*j + 6*j. Calculate v(l(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -97?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v**2 + 99*v + 52. Let y(f) = -5*f**2 + 34*f + 17. Let b(r) = 6*h(r) - 17*y(r). What is b(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204553 is divided by 51137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35939192 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/4 + 5*f**3\/3 - f**2\/2 - 2*f + 12. Let p be a(-5). Solve p*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*j**2 - 537*j**2 + 591 - 591.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.28 + 5. Let z = f + 0.25. Which is the second smallest value? (a) -4 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 66131.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let p(m) = -3*m**3 - 3*m**2 - 8*m - 1. Let a(b) = 2*j(b) + p(b). Is a(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -126. Calculate the common denominator of (5\/109)\/(o\/(-31)) and -64\/9.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.85.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 60 + 2*v**2 + 11 - 2.\nAnswer: 6*v**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -14.5. Let n = w + 1.6. Let z = n - 0.1. What is the second biggest value in -5, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -136600?\nAnswer: -136552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from fpullllfulllllfl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + w + 2. Let v be z(-1). Let p be 2 + (-6 - v - -4). Which is the third biggest value? (a) -10 (b) -1\/4 (c) -0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 8}. What is prob of sequence sjs?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b - 9328. Determine i(95).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4 + 56. Suppose t - 8 = -g, u = 4*g - 3*t + 18. Solve -2\/15*f**5 + 4\/15*f**g + 2\/15*f**4 + 0*f**2 + 0 + 0*f = 0 for f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 18*g**2 - 22*g**2 + 3 + (5*g + 7*g - 4*g)*(-5*g - g + 5*g) - 5620*g + 5620*g + 49*g**2 in the form v*g**2 + d + c*g and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.079 and 1720.\nAnswer: 135.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112145 and 894.\nAnswer: -100257630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-8)\/(-28) + (-26)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*o**3 + 152972*o - 4789087?\nAnswer: -27*o**2 + 152972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 at least 439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 1264*b - 3793\/3.\nAnswer: (b - 1)*(b + 3793)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 18 = 3*i, -3*i + 2*h - 5*h - 18 = 0. Let k be 4\/i*45\/80. Which is the biggest value? (a) -1\/25 (b) 1 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -493, 4 in increasing order.\nAnswer: -493, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*n = 10, w + 11 = n + 3*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/28*21\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*x, -l + 32 = 10*x - 12*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5764 = -43898*b + 43854*b for b.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550712 by -137678.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 76\/(-28)) + 2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 34*r**2 - 13*r**2 - 26*r**2 + 8*r**2.\nAnswer: -65*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60645 and 29770?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = d, -2*c - 26 = -4*d + 3*c. Let v be d\/(-8) - 3\/(-4). Factor v + 3\/2*g**2 - g - g**3 + 1\/4*g**4.\nAnswer: (g - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*84.67\nAnswer: -423.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -2*r + 4*l + 95, -3457*r + 192 = -6913*r + 3464*r - 4*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/72 less than 0.0225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1252*a - 1252*a - 490*a**2 to the form c + p*a**2 + f*a and give p.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187688 divided by 2091?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*i - 4 = 0, -5*f - 5771 + 5710 = 7*i for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2764061 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10*h + 72 = 0. Let f be (h\/2 - 1)\/(30\/(-120)). Calculate the remainder when 62 is divided by (-15)\/(-6)*24\/(-20) - f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r - 28. Calculate the least common multiple of 40 and r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -157, -220, -319, -460?\n\"Answer: -p**3 - 9*p**2 + p - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euueee. What is prob of picking 1 e and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f**3 + 1\/42*f**4 + 1\/420*f**6 - 20*f**2 - 1\/70*f**5 + 0 + 0*f. Factor a(x).\nAnswer: 2*x*(x - 2)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/852*94 + -3. Let h = y - 547\/994. Let g(u) = u**3 + u**2 - 2. Let n be g(0). Is n greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337 + 87*d**3 - 715 + 378.\nAnswer: 87*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -14*b. Let h(r) = -34*r**2 - 7*r. Determine h(x(t)).\nAnswer: -6664*t**2 + 98*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104, 129, 520, 1069, 1776, 2641?\n\"Answer: 79*n**2 - 4*n - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116386 + -116376. Suppose -2*p + 0*p = -800. Calculate the greatest common divisor of h and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086903753?\nAnswer: 3, 13, 107, 260461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 57*m - 15. Let i(b) = 58*b - 15. Let j(c) = 4*g(c) - 5*i(c). Is j(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 + 5*a - 1. Let x(g) = g**3 + 6*g**2 + 5*g + 2. Let l be x(-5). Let o(q) = -3*q**2 - 2*q. Give l*u(f) + 5*o(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - (-3 + (sqrt(8) + sqrt(2) - sqrt(2)))) + 4)**2 - (-2 + sqrt(6)\/sqrt(3) + -3)) + 1.\nAnswer: -15*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 9 = t - b, -4*t - b = -130. Let g(a) = 4*a**2 + 3*a - 5. Let f be -2*(4 + -7)\/3. Calculate the remainder when t is divided by g(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2055\/(-332) - 2 - 5. Let p = z + -5\/83. Let m = -13\/27 + -623\/108. Calculate the common denominator of m and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/35)\/((-33)\/(-330)). Let i(k) = -10*k - 12. Give i(w).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.6589 - 0.45.\nAnswer: -24.1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*m - 6*m**3 + 0 - 2\/3*m**5 + 14\/3*m**2 + 10\/3*m**4.\nAnswer: -2*m*(m - 2)*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 7}. Give prob of picking 2 j and 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 13 = 49 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 94778 = 412018. Let n = 3485469\/22 - j. Let h = 192 + n. Find the common denominator of 53\/4 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010101111000100100 (base 2) to base 3\nAnswer: -122212112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7831\/1535 + 1\/614. Find the common denominator of -53\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2659*l**2*n**2 - 2*l*n**2 + 372*l wrt l?\nAnswer: 5318*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -289384 divided by -188\nAnswer: 72346\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(h**2 + 0*h**2 + h**2) - 641*h + 641*h - 33*h**2.\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5*d = -7. Let b be (12\/7 - 2)*d. Let w = b + 15. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511318649 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x**3 + 0*x)*(3*x + 0*x - x) - 3 + 3 - 2*x**4 - 5*x**3 + x**4 + 5*x**3 - 10*x + 10*x + 4*x**4.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 304118*k. Let p(r) = 3*r. Give p(x(b)).\nAnswer: 912354*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.218.\nAnswer: -0.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4225256, -8450511, -12675768, -16901027?\n\"Answer: -z**2 - 4225252*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 361 = -291. Put 5, 1042, y, -4 in increasing order.\nAnswer: y, -4, 5, 1042","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 16509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(sqrt(19) + sqrt(19)*4 + 5) + sqrt(304) + sqrt(304)*-3 + -5))**2 + 4.\nAnswer: 1100*sqrt(19) + 9825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9858 - 3532. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - q - 6 = 0, 0*q = -5*r + 2*q + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 38. Let t = w + -12. What is the remainder when 12 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3\/3 - 3*y**2\/2 + 17*y + 2. Let i be m(-5). Suppose -d + 57 = -i. Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 856 (b) 1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 48 + 51 + 81 + 31 - 140.\nAnswer: -3*n**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:04 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71*z**3 + 411*z**3 - 26*z**2 + 26*z**2)*(-7*z - z + z) in the form s*z**4 + v + g*z + w*z**2 + m*z**3 and give s.\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(2 + -3 + (sqrt(5) + (sqrt(5) - (sqrt(5) + (sqrt(245) + sqrt(5))*-2)))**2).\nAnswer: -2892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153622.\nAnswer: 2, 3, 37, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-28)*7\/(-2). Which is smaller: r or 13\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1404 - 160?\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 17*w**2 + 78*w + 373. What is b(-13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -37. Is ((-2)\/10 - 19064\/l)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1489*z + 7666. Give x(-5).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 0 - 2 + 2.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2580902*u + 32373. Let a(l) = -8603*l - 108. Give 1199*a(t) + 4*x(t).\nAnswer: 8611*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*m - 214*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.51 - -1.6. Let i = p - 0.09. What is the smallest value in i, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10924 (base 10) to base 11\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*n - 8 + 8, 99*m - 27*n = 102*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1444737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21301 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (166 - 7) - -42) + 17 + 0?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1)**(-11\/2)\/(y**(1\/3))**(9\/13))**30)**(1\/19) assuming y is positive.\nAnswer: y**(-2235\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6192 and 4680927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 - 5. Let a(m) = 5*m**2 + 4. Let y = -2 + -2. Let x = 6115 + -6118. Let d(g) = x*u(g) + y*a(g). Calculate d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (2 + sqrt(1900) + 0 + sqrt(1900) + sqrt(1900) + 4)*-5*2.\nAnswer: -300*sqrt(19) - 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 4?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 366*t - 19882. What is c(54)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 19*v**3 + 3*v**2 - 4. Let w be a(2). Let b = w + -159. Is -2\/805 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7749776 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25472 and 6368?\nAnswer: 25472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-575 - -581)\/(-1*3\/(-97))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddddxdd. What is prob of sequence xd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.43 - 0.03. Let f be 4\/18 - (145\/(-450))\/(-1). Which is the nearest to 2? (a) q (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18eae + 6b1?\nAnswer: -187ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from {i: 4, d: 1, o: 9}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 41394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -9.83?\nAnswer: -10.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqwwwwwqrww. Give prob of picking 2 r and 1 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -286593.66 - 0.3\nAnswer: -286593.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2877456?\nAnswer: 1\/719364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (9\/(-6))\/(2\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -416.54 + 420. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*f**5 - 354*f**2 + 2*f + 1650 wrt f.\nAnswer: -440*f**3 - 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 5)*(5*l**3 - 2*l**3 - 2*l**3) + 6*l**3 - l**3 + 0*l**3 as v + a*l**2 + h*l**3 + j*l and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 6 - 16) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 8. Calculate i(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100 = 102*q - 97*q. What is the least common multiple of q and 70?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3.4 (b) 2\/19 (c) 2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.17 (b) -4 (c) 3\/8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1531677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = s - 23, 6*c - 5 = -s + c. Let i = -32 + 35. Solve i*j - s = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165348.\nAnswer: 2, 11, 137, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.4 + -321.\nAnswer: -342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 15*h**2 + 14*h + 16. Let s be p(14). Let l = s - 14. What is the biggest value in 2\/5, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 23. Let x = 59.50169 + 0.49751. Let u = y + x. What is u rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 0 - 1 - 1 + 3 + m. Suppose 1 + 3 = y. What is r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-176)\/(-220) - 15\/25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*v + 2 + 2, 0 = 5*p - v - 1. Suppose -t = -p*t + 10. Find the common denominator of -52\/7 and (-747)\/120 + 4\/t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.7042 to 1 dp.\nAnswer: -58.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2880 and 6120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*f**2*h**2 - 15*f**2*h + 4*f**2 - h wrt h.\nAnswer: -440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10233876 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412\/2*(-2)\/12*-9?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50967\/31 less than or equal to 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.4005*-23.\nAnswer: 308.2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3163 = -0*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390860 divided by -4\nAnswer: 97715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6692 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1 - (-1860 + 1858)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and 0.25.\nAnswer: 0.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59820*d**2 + 59820*d**2 - 11*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482 - 194. Suppose -5*f = -5*v + 270, 0*f - f + q = 5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 489 - 484. Suppose h - 4*s = 185, -5*h - v*s = -6*h + 188. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 4, f: 1, v: 4}. Give prob of picking 1 v and 1 a.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1140 - 1142. Let m(d) = -d**3 - 2*d**2 + d - 2. Determine m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 38*j**2 + 4*j + 1. What is x(2)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13518?\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30 + 40)\/(1\/1245). Round c to the nearest 100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0*t**6 + 0*t**5 + 0 + 13*t - 11\/42*t**7 - 13\/12*t**4 + 0*t**3 + 0*t**2. Find the third derivative of g(d) wrt d.\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13314202 is divided by 3328546.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 1, -18, 22, 2 in descending order.\nAnswer: 141, 22, 2, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 1232616.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.3747 rounded to zero decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 5182491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (-2495832)\/(-32) - 3\/12. Round y to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/390 and 5\/468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let d(w) = 5*w - 2. Let k(v) = -11*v + 5*v - 1 + 7*v. Let i(r) = d(r) - 3*k(r). What is i(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*s*w**2 + 182691214*s + 669476*w**4 wrt w.\nAnswer: -14*s*w + 2677904*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2\/9 - 260*c\/9 - 88\/3 = 0. What is c?\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 119353198 to the power of 1\/2, to the nearest integer?\nAnswer: 10925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**25\/(s*s**(-14)*s))**(-19) assuming s is positive.\nAnswer: s**(-703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k\/(k*k**(-22)*k))\/k)\/k)\/k)**(-1\/12)\/(k**18\/k*k*k)**(9\/5) assuming k is positive.\nAnswer: k**(-2147\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95324 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 2. Let a(k) = 1. Let n(i) = -4*a(i) - t(i). Give n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66d9 + -1?\nAnswer: 66d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i + 3. Suppose -3*h = h - 4. Let l = 2 + h. Solve -1 + l = -i*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*p = 198*p. Let y = -17 - -14. What is the smallest value in y, p, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101424*f - 171207*f + 272630*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -405, 0.1, -0.3, 170 in descending order.\nAnswer: 170, 0.1, -0.3, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 + 26*s**2 + 23. Let d be j(-5). Calculate the greatest common divisor of 834 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -65*r**5 - 4085*r**4 + 10055*r**3 + 61925*r**2 - 9750*r = 0.\nAnswer: -65, -3, 0, 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y + 264. Determine u(10).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/12 + 5\/4. Sort x, -5, -4 in ascending order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f - 19*f + 6*f. Let w(r) = 1 - 1 - 3*r**2. Give w(z(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 30 = -33. Suppose -5*c + 37 = p*t, 3*c + 21 = -5*t + 56. Solve 8 = t*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 111775158?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1331987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h - 4. Let l(t) = -t**3 + 6*t**2 - 4*t - 2. Let y be l(5). Let x = y - 0. Determine c(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80695.85l in millilitres?\nAnswer: 80695850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8 + 3 - 4 + 3. Let d(b) = 4 + 64 - 70. Let r(m) = -6*c(m) + 20*d(m). Let q(l) = l - 2. Calculate -4*q(s) + 2*r(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 64377.\nAnswer: 193131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + 0 + -4 - (sqrt(19) + (sqrt(19) + (sqrt(19) + -3)*-5)**2)*1.\nAnswer: -533 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11051?\nAnswer: 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -n - 9 - 2, 4*v - 20 = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 246022?\nAnswer: -246021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51.150409268841 - -0.5\nAnswer: -50.650409268841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264 + 11882\/45. Let j be 3 + -2 + 0*(-2)\/(-8). Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + l - 855 = -295, 5*l + 548 = 2*o. Suppose 6*k - 3*k = o. Suppose -6*d + 9*d = k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*v, 2*p - 3*p + 3*v = 0. Let b = p - 3. Let w(l) = -6*l + 3. Calculate the remainder when 81 is divided by w(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3321 divided by -1107.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + sqrt(76))**2 + sqrt(190)\/(2*sqrt(1440)).\nAnswer: sqrt(19)\/24 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*24\/(-5). What is the highest common factor of s and 2388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1. Let k(j) = -j + 3. Let t(z) = -4*d(z) + k(z). Find the first derivative of t(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42164 divided by 127\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*j + 21, 0*v = -v + 3*j + 15. What is the second derivative of 1 + 7*q + 112*q**v - 13*q - 2*q wrt q?\nAnswer: 672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (-12 + 44 - 24)) + 98.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -6)*6\/(-4). Let n be (1052\/f)\/((-4)\/(-15)). Let x = n + 684. Calculate the common denominator of x and 24\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-117)\/168)\/(-8 - (-145)\/20) and -7\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10788698, 10788695, 10788694, 10788695, 10788698, 10788703?\nAnswer: 10788710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 1:56 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -7*g + 12, p + 5*g - 15 = 0. Solve -p*u + 34*u = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-3 + -1 + 3*sqrt(3) - (-2 + sqrt(243) - (5 + (-2*sqrt(3) - sqrt(3)) + sqrt(3))).\nAnswer: -23*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48701 is divided by 9683.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, h: 4, j: 3, y: 1, a: 1}. What is prob of sequence fj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 2*h, 2*t + 4*h = 2*h + 8. Find the second derivative of -2*m + t*m**4 + 0*m + 5*m**4 - 4*m**4 wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meacgtc. What is prob of picking 1 g, 1 m, 1 a, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -877, -1759, -2633, -3493, -4333?\nAnswer: -5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226 at least as big as 4227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 5. Let b = 13 + -37. Let z be (-168)\/u*b + 2. Round z to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 76.96. Let a = -1.34 - i. Sort a, 3, 2\/11 in ascending order.\nAnswer: a, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t. Suppose -4*h + 119 - 391 = t. Is 23 a factor of -4 - -2 - h*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = g + 12, 323*g = -0*h + h + 324*g - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b. Let a(c) = 3238*c. Let r(g) = -1044*g. Let l(y) = -3*a(y) - 8*r(y). Determine n(l(d)).\nAnswer: 4086*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -24*y - 4. Let l be m(-1). Suppose 5*z - 140 = -2*c, z = c + 4*c - 404. Calculate the highest common divisor of c and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2739, 335, 5459, 12633?\n\"Answer: 1025*i**2 - i - 3763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -73. Let y = -10 + f. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3 + 2*q - 7*q + 45*q**2 - 43*q**2. Let c = -1 + -2. Let j(v) = -5*v**2 + 11*v + 7. Suppose -35 = 8*k - 3*k. Give c*j(m) + k*w(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + (30*12)\/9 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(4\/17)\/c)*c*c**(-23)*c assuming c is positive.\nAnswer: c**(-327\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/448 and -13\/7432.\nAnswer: 416192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u + 4. Let q(c) = 15*c + 5. Let j(t) = 6*q(t) - 7*w(t). Let x(f) = 0*f + 4 - f - 4 + 1. Give -j(k) + 4*x(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5452\/(-85869)*(-245)\/20?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -16207790\nAnswer: -16207789.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -318, 1, -1, -3\/5, 0.045?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x = -25*x + 48*x - 6594754. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 8, o: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 999138330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2541389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 2*o + 0*o + 9 + 5. Let q be y(11). Suppose -q*k = -51047 - 59953. What is k rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30072 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0.3 (c) 0.067 (d) 1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2310667647 - 1?\nAnswer: -2310667650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1378 (base 9) to base 3\nAnswer: -1102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51441163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mewxhefm. What is prob of sequence mm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from jjddudddujduj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 476390344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 791 or 793?\nAnswer: 793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 7*j - 3. Calculate the remainder when -6 - -2 - (-19 - 24) is divided by n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 7. Let f be u(9). Let v = -10 - f. Suppose 3*b = v*b. Solve -2*j = -b*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000001000101110000110 - 101?\nAnswer: 1011000001000101110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -508 - -538. What is the remainder when 118 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 1997*i**6\/40 + 1813*i**5\/60 - 355*i**2. What is the third derivative of l(t) wrt t?\nAnswer: 35946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.213 times 100\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 - 10*u**2 + 7*u + 7. Determine y(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 881094123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/11*5\/(-2*5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w**2 + 4*w)*((2 - w - 2)*(-58341 + 555*w + 58341) + 0*w**2 + 2*w**2 - 4*w**2).\nAnswer: 1114*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3132 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/(4\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.39182 + 1.1364. Round d to three dps.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -22 + 0*u**2 - 7*u + 5\/3*u**3. Find the first derivative of v(s) wrt s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*u + 27, -40*w - 3*u - 19 = -42*w. What is the remainder when 41 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000101591 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + k**2 - k - 3. Let n(g) = -g**3 - g - 1. Calculate 4*n(x) - s(x).\nAnswer: x**3 - x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 505*c**2 - 4*c. Let h(q) = 668109*q**2 - 5291*q. Determine -4*h(g) + 5291*r(g).\nAnswer: -481*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-15))\/(6\/15). Suppose 2 = 2*j - j. Let d be (j + -4)*m\/6. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.1 and 4.11.\nAnswer: 16.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 146. Let v(t) = 411639*t**2. Calculate x(v(m)).\nAnswer: 338893332642*m**4 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 5, -306, -2 in increasing order.\nAnswer: -306, -60, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2447 divided by 16684.\nAnswer: -2447\/16684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6605*r - 836 = -6651*r + 774 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, 0.4, 1\/6, -1\/7 in ascending order.\nAnswer: -1\/7, 1\/6, 0.4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 45.5, -2, 2340.\nAnswer: -2, -1, 45.5, 2340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27331147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 0*o**5 - 3*o**5 + (-2*o**3 - o**3 + 2*o**3)*(4*o**2 + o**2 - 2*o**2) + o**5 + o**5 + 0*o**5.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 133 = -7*o. Suppose -o*g = -24*g - 240. Let z be (-3)\/((-4)\/g*-3 + 1). Sort 3, z, -2 in ascending order.\nAnswer: z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c - 501*c - 53424 = 0 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Let y be i(-4). Suppose -2*d - 3*o = -y*d + 53, d = 5*o - 8. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - i**2 + i + 2. Let f be v(-2). Suppose -5*q + 250 = f*o, -o = o - 10. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61295 + -27880. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 68. Solve 5*y - a = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28292 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: Simplify (1*sqrt(2016) - sqrt(56) - (sqrt(336)*-1)\/sqrt(6))\/(6*sqrt(40)\/(sqrt(10)\/sqrt(2))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Let a = 0.7 - 7.7. Let k = r - a. Sort -0.3, 0.1, k in ascending order.\nAnswer: -0.3, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l - 194. Let j be n(-16). Suppose -8 = c + 5*q, 32*q - j = -2*c + 37*q. Solve w - c + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (612\/17)\/36*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(13*o**2 + 9*o**2 - 4*o**2).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88*(26\/4)\/(1248\/72)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 12:14 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 0, 4\/15, 1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 12 = 4*h, -4 = -5*a - 4*h + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10898*s + 10901*s = 46, -4*p + 3*s - 50 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171\/260 + 3\/52. Which is the third biggest value? (a) n (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -642\/13 + 2599\/65. Calculate the common denominator of -89\/770 and g.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7064514*h**2 + 2846758*h + 1 wrt h?\nAnswer: -14129028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1127825915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4080*l**3 + 8*l - 3*l**4 - 4076*l**3 - 9*l + 2*l**4 - 17*l**2 + 2 to b*l**4 + u*l**3 + x*l**2 + k + a*l and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.5 + -9.5. Let r = 37.95 - w. Round r to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2912 and 714448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*r**4 - 6*r**3 + 45*r**2 + 62014*r.\nAnswer: 1260*r**2 - 36*r + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 5*j - 21 = 4*w, -2*j = 5*w - 66. Suppose 19*i - 20*i = 3*s - 61, s - 207 = -3*i. Calculate the remainder when i is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 56*l**2 + 667*l - 259. Give t(41).\nAnswer: 1873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249\/4 + 62. Which is greater: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 60 = -2*n - 4*u, 5*u = -5*n + 225. Suppose -6 = -2*z - 3*k + 5, z - 4*k = 0. Solve 3*d + z*f - 3 = 2, -3*d - n = -5*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 13596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1 - (68 - 67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 5*o + 4*l - 78, 3*l = -3*o + 63. Calculate the least common multiple of 1186 and o.\nAnswer: 10674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-0.062\nAnswer: -0.00496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 9 = -5*n, 2*n + 3*n - 3 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s - 3968 = 45*s. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**6\/3 + b**4\/3 + 3*b. What is the third derivative of i(y) wrt y?\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + w = -605, -2*y + 493 = 2*y + w. Suppose -3*m + 89 = -1. What is the remainder when (-4 - 2 - -3) + y is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/3)))\/(j*j\/j**4)*j**5\/j**0)\/((j*j**(-2\/7))**(-1\/2)\/(((j**(-2\/11)\/j*j)\/j)\/(j*j\/j**(4\/3)))) assuming j is positive.\nAnswer: j**(797\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 3183*p + 370272.\nAnswer: 3*(p - 928)*(p - 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2\/(2 + (-12)\/18). Let l(w) = w**2 - 18*w + 41. Let p be l(o). Which is the third smallest value? (a) 3 (b) p (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -731.4 - -103.4. Let s = l - -625.39. What is s rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 12*d - 5. Let a(y) = -2*y**2 - y - 1. Let g be a(-2). Let j be o(g). Differentiate 20*v**4 - 10 - 4 - j*v**4 with respect to v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 3*w**3 + w**3 - 2*w**3 + 1 - 1 + (3 - 3 - 2*w**2)*(-4*w + 2*w + 4*w) + 4 + 4*w**3 - 4 + (0*w - w + 4*w)*(1 - w**2 - 1).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*i + 430 = -675 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)*1 + (sqrt(132) - (-2*sqrt(132) - sqrt(132))*-1 - sqrt(132) - sqrt(132)))\/((sqrt(768) - sqrt(768)*3)*-6).\nAnswer: -5*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (-4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -76, -113, -150?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15423 + -10909. What are the prime factors of z?\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 12 = 2*i + 1 + 12 - 3, -19*i - 4*p = 209 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -367, -545, -725, -907?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(405) + (sqrt(405) - (2 + sqrt(405))) - sqrt(405))*-6 - (-5 + 2 + sqrt(405))) + -2)*3)**2 + 1.\nAnswer: -2106*sqrt(5) + 5167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71.4, -35, 34?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 2. Let j be l(-2). Let f(d) be the third derivative of -d**4\/8 - 5*d**3\/6 + 4*d**2. List the prime factors of f(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 44. Let s = -323\/2 + 194. Is b > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 8) to base 2.\nAnswer: 1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**5 - 2*n**3 + 28*n**2 + 39046*n.\nAnswer: -40*n**3 - 12*n + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1412573*y + 1412634*y = 915 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + 0 + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gypkyfwpkpygykkkkk. Give prob of sequence fkwg.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 3*m**2 + 4*m**5 + (0 + 0 + m**4)*(2*m + m + 0*m) - 4 + 3*m**5 + 4 - 1182*m + 26*m**5 + 1182*m.\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5103134*a**2*r + 46259*a + 18*r wrt a.\nAnswer: -10206268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 85*o + 7225\/2.\nAnswer: (o - 85)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 1*sqrt(275)*-3 + -1)*1)**2 - (-1*-3*(-1 + sqrt(275) - sqrt(275))**2 + 4).\nAnswer: 20*sqrt(11) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) + (-964805)\/(-30) + -4. Suppose 0 = 2*a - 0*a + 4*y - m, y = a - 16066. What is a rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - n + 2. Let z be v(2). Suppose 0 = t + 5*m - 15, 3*m + 77 - z = 2*t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/14, 14.\nAnswer: -2, 1\/14, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.41 - -0.31. Let t = -0.35 - -0.05. What is the third smallest value in t, q, -1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*k - 140 = -18*x + 7*x + 822*k, 3*k = -k + 8 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -1, -1, 9, 35, 83, 159?\n\"Answer: o**3 - 4*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1845 = 5*x - 3*l, 0 = -3*x - l + 1121. Does 31 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eefmwwkedmeedwfww. Give prob of picking 1 d, 1 e, and 1 f.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -40?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(112))**2 - 3*sqrt(63)) + (sqrt(700)*-1 + -4 - sqrt(700))**2.\nAnswer: 151*sqrt(7) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t - 1. Let q(x) = -3*x. Let k(h) = -2*n(h) - 3*q(h). Let m be k(-2). Let r be (10 + -12)*(2\/(-4) - 1). Solve -r*y + m - 6 = 0, 2*y = 3*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 959\/11. Let p = 9510 - 9514. Sort q, p, 15.\nAnswer: p, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5823780 and 1218?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-384)\/(-27) - 6\/27. Let t = -4 + w. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -1631214?\nAnswer: -1631204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g + 2. Let a(n) = 13*n**2 + 13*n - 17. Let p(r) = 3*r**2 + 3*r - 4. Let v(q) = -2*a(q) + 9*p(q). Calculate 3*l(z) + 4*v(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*n + 9*d - 14*d, -n - 4*d = 58708 - 58685 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.066757.\nAnswer: -0.0133514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (1040\/(-36))\/(-10). Suppose 3*x = 2*c - 4 - 11, 2*c - 2*x - 12 = 0. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-10)\/(-3))*(-18)\/(-33).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 292, 0.98.\nAnswer: -4, 0.98, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 38d8638?\nAnswer: -38d863c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1335, 2665, 3999, 5337, 6679?\n\"Answer: 2*t**2 + 1324*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -2*y. Let m(v) = -v**2 - v - 1. Suppose -2*j = -j. Let n be 2 + -3 + 2 - j. Let r(t) = -t**2 - 3*t - 3. Give n*r(i) + y*m(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/56 - (-1)\/4)*-2. What is the greatest common divisor of 7 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.88 - -2.8. Let l = n - -0.18. Which is the nearest to -0.2? (a) 0.5 (b) -0.02 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2424, 4848, 7274, 9702, 12132, 14564, 16998?\n\"Answer: j**2 + 2421*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2916 and 113\/5346.\nAnswer: 32076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(252))\/sqrt(4))\/(sqrt(441)*-1 - sqrt(441)).\nAnswer: 3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32913700 divided by 170\nAnswer: 193610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/506370 and 131\/650?\nAnswer: 32914050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**2 - 46*w + 9. Let d(n) = -9*n**2 + 31*n - 6. Let l(u) = -7*d(u) - 5*g(u). Let v be l(6). Solve 0 = 5*p + 15, v*z + p = -2*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76908 is divided by 99.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 4*l + 8. Let d(n) = 5*n**2 + 2*n - 2. Let q(x) = -x + 1. Let b(y) = l*q(y) + d(y). Let u(m) = 2*m**2. Give u(b(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 3. Suppose i - 4 + 2 = 0. Suppose 5*b - 7*b = 0. Suppose -2*c + c + i = b. Give n(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.2 (c) 24\/11 (d) 1\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -3\/7 (c) 0.1 (d) -0.6 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 340\/1870 - (-4)\/(-99) and -34\/341.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2436)\/(-13920))\/((-3)\/24).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0 - 5\/3*y**3 - 7\/2*y**2 - y. Is 23 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656160 (base 8) in base 9?\nAnswer: -365136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3810, -8445, -13080, -17715, -22350?\nAnswer: -26985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 116 + 44. Suppose -4*o = -8*o + u. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (272\/168)\/(30*53\/33390).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(2299))**2.\nAnswer: 198*sqrt(19) + 20700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -24*f**3 + 24*f - 24. Let p(g) = -11837*g**3 + 11842*g**3 - 5*g + 8 - 3. Give 3*m(h) + 14*p(h).\nAnswer: -2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 11*p**2 - 9*p + 197. Let l be y(11). What is the highest common factor of 343 and l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 4. Suppose 3*j - 57 = d. Calculate the lowest common multiple of j and 14\/63*6622\/44 + (-8)\/18.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 + 23. Let c be s(0). Suppose 0 = -5*m + 2*m - 5*w - c, -w - 8 = 4*m. Let g = 6 + m. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Sort -3, q, 1.\nAnswer: -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-30 + 30 - 6*d)*(-5*d - d + 4*d).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199316.00000125 + 199311. Let c = -16 - -11. Let t = c - w. Round t to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70813213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3766 is divided by 1880.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let b = a - 2. Suppose -1061*u + 1064*u + 4 = -2. Sort u, b, -21 in descending order.\nAnswer: b, u, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 2\/11 (b) -7 (c) 3 (d) 7\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189437644?\nAnswer: 2, 11, 4305401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Solve w*j - 3 = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33620 at least as big as -33621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggrrggvgrr. Give prob of picking 2 g and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4441764 by -4.\nAnswer: -1110441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**6\/360 + j**5\/8 - 7*j**4\/24 - 4*j**3\/3 + 3. Let h(p) be the third derivative of y(p). Is h(14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1554 by 6.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 32 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37486045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, c + 6 = 3*c - 4*f. Suppose -c*h + 16*h = 3100. Calculate the greatest common divisor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times -2\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -16. Let l(b) = b**3 - 20*b**2 - 28 - 2*b**3 - 120*b + 118*b. What are the prime factors of l(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 3*f**2 + 2*f**2 - 8*f**2 - 7*f**2 + 6*f**2 + ((-4 + 4 - 1)*(6 + 0 - 4) - 1 + 0 - 1)*(-f**2 + 4*f**2 + 3*f**2).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:27 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 646\/69 + -55\/46. What is the common denominator of ((-3)\/54)\/(2\/(-202)) and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 4*k + 18, -3*f - 4*k = -7. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3820 = 5*d - 5*c, 0 = -3*d - 5*c + 2292. List the prime factors of d.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:10 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**5\/270 + d**4\/108 - 2*d**3\/27 - 9*d**2\/2 - 2*d + 44. Let u(s) be the second derivative of n(s). Factor u(m).\nAnswer: 2*(m - 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1130568 and 723656.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6774644, 27098589, 60971830, 108394367?\nAnswer: 169366200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1437\/(-18) + (-7)\/42. Which is greater: p or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16. Let k(b) = -b**2 + 4*b + 4. Let c be k(4). Find the second derivative of -7 + 6*n**c + 5 - h*n + 2 wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -13*k - 4*k. Let r(a) = -a**3 + a**2 + a + 2. Let p be r(0). Let l = p - k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(28) + -1)*5*-6)**2 + -1.\nAnswer: -18000*sqrt(7) + 47699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/180 - 2*s**5\/15 - 5*s**4\/9 - s**2 + 1900. Factor i(f).\nAnswer: -2*f*(f + 2)*(f + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86519500493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 167. Let a(p) = -225*p - 146. Is a(q) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 34370*p**3 - 3709*p**3 + 6.\nAnswer: 30661*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -13720.489\nAnswer: -27440.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -5.77515.\nAnswer: -5.77515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/(h\/h**(5\/4))*h*h)\/h))\/h*((h**(-2\/5)*h)\/h)\/h*h*(h\/(h**5*h))**(-6\/7) assuming h is positive.\nAnswer: h**(369\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -629 not equal to -679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**5 + 24*c**4 + 3*c**3 - 6979*c**2?\nAnswer: -420*c**2 + 576*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/5 + 801\/15. Suppose -36 = 2*g + x. What is the units digit of (-2)\/(6\/g) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1425 + 17.76.\nAnswer: -1407.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 2*h + h + (-1 - 1 + 1)*(h + 0*h - 3*h) - 4 + h + 4 - 2*h + 4*h - 3*h + 13 - 2*h - 13 + (-1 + 1 - 2*h)*(-4 + 2 + 1) to k*h + c and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - -5)\/156 + 610187\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 10*y**2 + 12*y - 6. Let z be r(-9). Let u = 78 + z. What is the greatest common factor of u and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/p**(1\/6)))\/p)\/p**(-2))**13*(p*p**(-1\/3))**31*p*(p**(2\/23)\/p)\/p*p\/p**5 assuming p is positive.\nAnswer: p**(6061\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b. Let s(u) = 4*u + 0*u - 10*u. What is o(s(k))?\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 13 = -29. Suppose u + 23 = t*w - 8*w, 3*u + 4*w + 29 = 0. Let y be -1*1*1\/(-4). Which is the second biggest value? (a) u (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - -118. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -719*d**3 + 715*d**3 - 42 + d**2 - 75 as y*d**3 + t + a*d + j*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 490444, 490447, 490452, 490459?\n\"Answer: h**2 + 490443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -126. Let c be 68\/340*(-10)\/6. What is the nearest to -1 in q, -2\/3, -4, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 732 by -2.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 20 = -3*m, 239*m - 29 = 4*d + 234*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/1200*630\/189?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -57479*f - 41. Let k(o) = 22990*o + 17. Calculate 5*c(j) + 12*k(j).\nAnswer: -11515*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 43*a**5\/5 - 428*a**4\/3 - 3394*a**3\/3 - 156*a**2 - 346*a - 1. Factor w(p).\nAnswer: 4*(p - 13)*(p + 3)*(43*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 29*m = 40 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5675977609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 477 and -5*(-30)\/(-50) - (-850 - (-1 + 2)).\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 46*f**2 - 199*f + 41. What is the remainder when 1542 is divided by j(50)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/65)\/((-21)\/60).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-8 - -6) - 5 - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**5\/48 - 7*a**4\/96 + a**3\/12 + 3*a**2\/2 - 3. Let l(j) be the second derivative of s(j). Solve l(r) = 0 for r.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 9. Suppose -29 + j = 4*h. What is the nearest to -1 in h, -3\/4, 7\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-12)\/262)*154\/308. Is 0 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**13\/z**(-1\/4) assuming z is positive.\nAnswer: z**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 9691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/9 + 6640*b\/9 - 5511200\/9 = 0?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(2 - 4444\/2120). Let r = s + 156. Sort 0.03, r, -4.\nAnswer: -4, 0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5363923 is divided by 766243.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*w - 120 = -2*w, -120 = 4*c + 3*w. Let a be -5*-9*4\/c. Let v = 9 + a. Solve 0 = -v*f + 2*z - 13, 4*z - 4 = 3*f + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Suppose -2*q - w = -19. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788327426 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 11*m**2 + 6*m + 4. Let y be c(8). Does 2 divide y\/(-44) - 3 - (-174)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -0.3\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1825 = -3*g, -5*g = 2*x - 1264 - 571. What is the third derivative of -5*h**2 - 957*h**5 - 26*h**2 + x*h**5 wrt h?\nAnswer: -3120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 61 = 5*i - 8, -20 = 4*i + 4*x. Let v = i + 17. Let a(c) = 10*c - 1. Is a(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 14348?\nAnswer: 14350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:04 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 10 = -5*h - 3*g, 4*h + 4*g = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13270 * -0.5926.\nAnswer: 7863.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5206 is divided by 271.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = 4*z, z - 5*m + 7 = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-9 - 0) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/15, -359, -3 in descending order.\nAnswer: 2\/15, -2\/5, -3, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.07. Let r = -0.83 + f. Let t = -1.2 - r. Which is the second smallest value? (a) 3 (b) t (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6385 (base 9) to base 5.\nAnswer: 122234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3 + 21*l**2\/2 + 54*l + 51. What is w in p(w) = 0?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*f - 15. Let q = f - 4. Calculate the smallest common multiple of q and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 10*g + 10. What is the units digit of c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*f - 3*f + 3*f)*(30*f**3 - 49*f**4 - 30*f**3).\nAnswer: -98*f**5 + 245*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 7*o**2 - o**2 - 2*o**2 + 4*o**2 - 3*o**2 + (-1 + 3 + 1)*(-2*o**2 + 0*o + 0*o) + 1 - 38*o + 38*o - 12*o**2)*(1 - 1 + o**2)*(3*o - 3*o - o).\nAnswer: 15*o**5 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 656*h*p**2 - 2*h*p - 4*h - 3*p**2 - 25*p - 1 with respect to h.\nAnswer: 656*p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2910093, 2910082, 2910063, 2910036?\nAnswer: 2910001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 8 - (-1 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 + 496*i**3 + 24920*i**2 = 0.\nAnswer: -178, -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 45. Let u be o(20). Suppose u*w + 3*w - 16992 = 0. What are the prime factors of w?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 49 - 45) + -1 + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, k: 1, z: 1, g: 1}. Give prob of sequence yz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 77*u - 4. Give v(77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -31 + 22 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 18343724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 29. Let t(b) = -89*b**2 - b. What is t(p(d))?\nAnswer: -89*d**2 - 5163*d - 74878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9065832 is divided by 200?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78280 and 42655.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)*w**10)\/(w\/w**(7\/3))**(1\/51))**(23\/6) assuming w is positive.\nAnswer: w**(17641\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -6834.\nAnswer: -6834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7793?\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -12. Suppose -3*i + g + 4 = 0. Suppose 3*l = -5*w + 196, 2*w - 3*w - i*l = -29. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - h + 2 + (40 - 13 + 20)*(1 - 1 - h).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-46)\/84318). Let d = 613 + y. Solve -d*v = -4*g + 16, 2*v - 33 = -2*v - 5*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1360 * 0.4\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 67*l + 70. Let o be t(35). Is o <= -254\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 140. Suppose -3*t + 268 = -m, -2*t - 3*t + 3*m = -448. Let f = t + k. Calculate the smallest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - 5*(sqrt(33) + sqrt(297)))\/(sqrt(11) + (sqrt(44) - sqrt(11))*-3) - (-1 + 2*sqrt(300) - sqrt(300) - 1*sqrt(48)*1).\nAnswer: 1 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 331*o**2 - 5*o - 174*o**2.\nAnswer: -505*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 8405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -14*q + 5281. Let j(y) = 4*y - 1758. Determine 3*d(i) + 10*j(i).\nAnswer: -2*i - 1737","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31729+-8.68004\nAnswer: 31720.31996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - 1) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78.8 and -0.595.\nAnswer: 46.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.62 to 0 decimal places.\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 3400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 - -50. Let i = 494 - 500. Let l = i - g. What is the remainder when l is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqiauqzu. What is prob of picking 2 q and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4856979293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 + 411. Let w(m) be the first derivative of u*m**2 - 343*m**2 + 47 + 169*m**2. Let j(a) = -a. Calculate j(w(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eooohooohooseseooesh. What is prob of picking 1 o and 2 h?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -137b4?\nAnswer: 137b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 71 = -2*w. Let j = -11 - w. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*w = -20, 2*c + 4 = -11*w + 10*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1110011001111100100 (base 2) to base 15\nAnswer: -94ce1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 192309 - 192309 - 2559*q**2 in the form c*q + o*q**2 + u and give o.\nAnswer: -2559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195c (base 13) to base 14.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 206 = -0*h + 2*p, 0 = -4*h + 5*p + 227. Let j(w) = -2*w - 6. What is the remainder when h is divided by j(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -175*(3 - 171\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - -54. Suppose 2*y = y + f. Let u = 201 - y. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a*a*a**3*a*a)\/((a*a**(-2\/7)\/a*a)\/a**(9\/2))*(((a**(-2\/13)\/a)\/a)**(-13\/6))**7 assuming a is positive.\nAnswer: a**(2035\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 108, 148, 210, 300, 424, 588, 798?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nopd when four letters picked without replacement from nnpoqdodnwwdow?\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a + 2 + 8*a + 3*a)*(4 - 4 - 2*a**2).\nAnswer: 6*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = -c - 3*g - 246, -62 = 4*c - 25*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 18*n + 13. Let t(a) = -a**2 - a + 1. Let k(h) = -c(h) + 6*t(h). Let b be k(7). What is the highest common factor of b and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 9077.\nAnswer: 998470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 3*h + q = -10, -20 = 4*h + x*q - 4*q. Which is the second smallest value? (a) -3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -209 (b) 5\/2 (c) 2\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -4. Let k be i\/(0 - (-45)\/6). What is the second biggest value in k, 1, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 97. Let v be y\/36 + (-1)\/(-6). Let z be 2*(-5)\/(2 + -12). Is z bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 2*x - 2. Let o(h) = 2*h**2 + 3*h + 3. Let k(p) = -6*o(p) - 13*t(p). Let a be k(-7). What is the units digit of a\/((-1)\/5)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2 (b) 38 (c) -2\/17 (d) 2\/11 (e) 8\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 849, 1172, 1497?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d + 6 = 3*j, 2*j - 4*d - 12 = 0. Factor -7\/4*n**3 + n**4 + 1\/4*n + 1\/2*n**2 + j.\nAnswer: n*(n - 1)**2*(4*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 6*a - 10. Suppose 0 = -z + 5*d - 13, 3*d + d = -3*z + 37. Calculate v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 + 3*j**3 + 5*j**2 - 5*j**3 - 3*j**3 to l*j + w + u*j**2 + a*j**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.031 - 9.109. Let i = -9 - a. Let q = 1.04 - i. What is q rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 10026.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -149669737, -149669735, -149669733, -149669731?\n\"Answer: 2*n - 149669739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12524?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.07, 1, -0.0321, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3137 + -3144. Let n(c) = 2*c + 4. Let f(s) = s + 2. What is a*f(h) + 3*n(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o = -2*o - 190 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 2*p + 2*p)*(-10*p**2 + 3 - 3) to u + d*p + q*p**3 + v*p**2 and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8940.\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.4 - 3.4. Let g = -141.6 + 159. Let z = g - i. Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 129. What is the tens digit of (f\/8)\/((-6)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*r - 100*r. Suppose 19*s - 3*s = r. Solve s = 2*u - 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 95, 200, 337, 500?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 21*g + 25*g + 25*g + 38*g - 103*g. Let u(q) = -119*q - 1. Determine u(c(x)).\nAnswer: -714*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = 2712301*i - 2712293*i + 4*p, -4*i + 5*p - 273 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.3494327?\nAnswer: -3.6505673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 5*l**2 + 13*l + 64. Let g be h(-6). Let -41*d + 184*d + 24*d**2 + g*d - 44 - 26 + d**2 = 0. What is d?\nAnswer: -7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, -35, -6.9?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57.79105 times -0.3\nAnswer: -17.337315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**8\/m*m*m**(-7)*(m**3\/m)**(10\/7))**48 assuming m is positive.\nAnswer: m**(1632\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/9 - -25\/18. Let t = -1\/136 + -125\/1496. Put 1, t, l in descending order.\nAnswer: 1, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 30 = 3*x, 0 = 4*x + 16*b - 13*b + 26. Let v be (-18)\/x + -31 + 34 + -5. What is the third biggest value in 0.5, -0.22, v, -0.4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4356 + -4340. Let q be 24 - (-1 - -1)\/2. Calculate the highest common factor of c and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 164?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (0 - (1 - 5)). Let t be -11 + (-1)\/(((-20)\/12)\/r). What are the prime factors of 1*t\/16*(0 + -42)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 38914\nAnswer: -38912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 5 (c) -1\/3 (d) 1 (e) 100 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1268.81 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9*l = 5*l + 12. Let h(r) = 10*r - 4. Let b be h(-8). Let z be (-38)\/b - 2\/7. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let t(m) = m**2 + 7*m + 4. Let o be t(-7). Suppose f = -3*h, 4*h = o*f + 6*h. Solve f = 3*z - r*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0*o**2 - o**2)*(66*o - 9*o**3 - 66*o) + 3*o**5 + 0*o**5 - 2*o**5.\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 - -4302?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1004 - 281. What are the prime factors of k?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -x, -2 + 14 = 6*d. Let c(o) = -o**2 + 20. Determine c(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -16. Let m(y) = -y**3 + 14*y**2 + 16*y - 12. Let j be m(15). Solve h*a - 5*s - 1 = 0, -s = j*a + 2*s - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -21\/3748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21225758 - -0.63\nAnswer: 21225758.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29896 and 29896.\nAnswer: 29896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2966717\/63 - -47092. What is the common denominator of o and -20\/33?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1384 - 682. Let x = 1072 - k. Round x to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -3.4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 49. Let h = q - 23. What is the second smallest value in 2, 6\/11, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j - 147. Let k be u(-15). Suppose 3*y = 4*q + 4 - 23, k*q + 3*y - 9 = 0. Solve -5*d - 5*s - 40 = 0, -s + q = -4*d + 2*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -29*d + 21*d - 9 - 33 - 69*d + 38. Let b(t) = 19*t + 1. Calculate -26*b(h) - 6*v(h).\nAnswer: -32*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16212217075 rounded to 5 decimal places?\nAnswer: -0.16212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0103 * -92.329.\nAnswer: 0.9509887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9959658*x**3 - 2998978*x**3 + 15382570*x**3.\nAnswer: 22343250*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-234)\/195*20\/(-2). What is the greatest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*c**2 + 30 + 4*c - 29 - c**3 - 4*c as y + x*c**3 + z*c + w*c**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 594862.\nAnswer: 6543482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 2091183 in increasing order.\nAnswer: -14, 1, 2091183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023120397 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = q - 6 + 1, -26 = -3*q + 5*b. Let i = q + -6. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*y - 6, 3*i - 11*y - 18 = -8*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 - 7*p**3\/3 + 11*p**2\/2 - 2*p + 229. Let k be (-2 - 0)\/(8\/(-20)). What is t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13750630, -13750629, -13750628, -13750627?\nAnswer: -13750626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 2, z: 4}. Give prob of picking 1 z and 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, 5, 2075 in ascending order.\nAnswer: -20, -3, 5, 2075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioiqcoqqcciqoqoi. Give prob of sequence oqoi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074697.\nAnswer: 11, 370427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2977.1 and 747?\nAnswer: 2230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000072813 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((320\/(-24))\/2)\/(10\/(-36))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(243) + -1 + 5 + (sqrt(243) + -1)*-5)*-1)**2.\nAnswer: -23328*sqrt(3) + 142884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4\/4 - s**3\/3 - s**2\/2 - 1. Let a(u) = 4*u**3 - 2*u**2 - 2*u. Suppose 9 = 7469*m - 7460*m. Give m*a(c) - 2*v(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.2. Let h = 0.47 - 0.07. Let i = v + h. Put i, 5, 0.1 in descending order.\nAnswer: 5, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**5)\/y*y)\/y)\/(y\/(y*y\/((y*y**(3\/4)*y*y*y*y*y)\/y)))*y**(5\/2)*((y*y**(1\/6))\/y)\/y)\/(y**0*(y\/(y*y**1))\/y*y**3\/(y**1\/y)) assuming y is positive.\nAnswer: y**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 68, 52, 20, -34, -116, -232?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58543440.17 rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8233803*z**4 + 64333528*z wrt z.\nAnswer: 98805636*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15*j - 7. Let f be w(10). Let n = f + -127. Suppose -464 + n = -7*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 11 = -11*k. Suppose -5*f = -2*a - 8, 2*a = -f + k - 9. Solve -3*p + 4*p = f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*z - 347*b**3 + 128*b**2*z**2 - 211632*b*z**2 + 2*b*z wrt b.\nAnswer: -12*b*z - 2082*b + 256*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 35226860 in decreasing order.\nAnswer: 35226860, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:41 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13537994972696 and -0.75?\nAnswer: 13537994972695.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*q + q. Let f = 2 - q. Suppose -48 = -7*d + 8. Solve d*h - 5 = f*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 46*u + 34. Let s(q) = 2*q**2 + 49*q + 33. Let o(z) = -5*s(z) + 6*t(z). Calculate the remainder when 310 is divided by o(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1596 = -5*t - 3*s + 4*s, 2*s - 1288 = -4*t. Let f(c) = -30*c + 160. Let m be f(4). Calculate the greatest common divisor of t and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-15))\/((-2)\/(-5)). Suppose 0 = -d*o + 6*o. Let b be (1 - (4 + 0)) + o. Are -1\/4 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.31, 53, 0.06, 3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1027887 = -5139433\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1584) + 0.\nAnswer: 1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -301 in 0, 5, 342, -0.3, 19, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -6, -1042 in ascending order.\nAnswer: -1042, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/10 + 24\/(-60) - -1. Let s be (-1345)\/b + (-2)\/8. Calculate the highest common divisor of s and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -70 - 44. What is the tens digit of (-19)\/m - (-856)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 471163 and 63511.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.5 - 31. Let s = 26 - -7. Let u = 33.5 - s. What is the biggest value in q, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-33)\/55 + -2 + 418\/5 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1380 - -1452. Suppose 4*u = 0, 0 = 5*v + 4*u - 8*u - 480. What is the greatest common divisor of v and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 732*g**3 + 4338*g**2 - 6480*g.\nAnswer: 2*g*(g - 360)*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152\/249 - -60\/83. Find s, given that 4\/3*s**3 - a*s - 4\/3*s**2 + 4\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42868 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 2864*j**2 + 348908*j - 2976608.\nAnswer: 4*(j - 8)*(j + 167)*(j + 557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-267)\/54 - 157\/(-90).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.143 - 110.357. Let y = r + 111. Let q = 2.9 + -3. Which is the nearest to q? (a) y (b) 0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 0*c + c - 5*c**2. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + 1) - (sqrt(2) + 2*(-1 + sqrt(2)) + sqrt(2))**2 - (-1 + sqrt(16)\/sqrt(72)).\nAnswer: -39 + 35*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14420?\nAnswer: 2, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8 + 1\/(-2) + 0. Let x(d) = -75*d - 5. List the prime factors of x(r).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757852543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + k - 112 = 0, -112 = -b - b - 2*k. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 31*u - 67. Calculate the remainder when 1092 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 + 13 = 5*m, 1 = m + 3*b. Suppose 4*i - m - 16 = 0. Let k(s) = 3*s - 14. Let t be k(i). Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innirinniiiininkkkr. What is prob of picking 1 r and 1 n?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-392)\/63 + 1 - 2\/(-9). Let t be (d + 8)\/27 + 70\/18. Solve -4*j - 12 = -0*j, t*o + 4 = -4*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*o - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 124*o - 1064.\nAnswer: 4*(o - 38)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2 + 12 = 2*r, -13 = 2*a - 5*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:52 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224346 = -9*h - 42366. Suppose -h = -5*f + 2420. Let u = f + -9828. What is u rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5)\/(-10) + 0)*40408\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 1, h: 1, r: 1, u: 3}. What is prob of picking 1 y and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002122100 (base 3) to base 9.\nAnswer: 32570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(117).\nAnswer: -9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2, -2\/5, -437262, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 38*n - 49*n. Let x = 126 - 24. What is the least common multiple of x and n?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2120\/(-1590))\/(((-56)\/(-726))\/7).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*o = 2, 4 = -5*g - 5*o + 24. Let u(i) be the third derivative of -10*i**2 + 0 + 1\/240*i**g + 0*i + 0*i**5 - 1\/16*i**4 + 1\/6*i**3. Factor u(v).\nAnswer: (v - 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7083, 28335, 63759, 113355, 177123?\nAnswer: 255063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -767 - 325. Let p = m - -355. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142977, 142984, 142991, 142998, 143005, 143012?\nAnswer: 143019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 - 17*m + (0 - 2 + 0)*(2*m + 2*m - 5*m) - 2*m + 3*m - 2*m as u*m + a and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 269935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 15. Let q be x(6). Suppose 122 = -3*a - 1. Let y = q - a. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*h + 4*d + 2, h = 4*d + 6. Is 134\/2*(h - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1892 - 1888. Let h = -274\/623 - -1\/89. Which is the third smallest value? (a) -1 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -290 - -1549. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {s: 1, n: 2, e: 1, u: 1, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*d = 155*d + 10. Suppose -3*n + 12415 = d*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -15\/7, -2\/17, -1, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1)*(-1)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/2)*m*m*m\/(m\/((m\/m**(-1)*m)\/m*m))*(m**2*m)\/(m\/m**(-2\/5)))\/((m\/m**(1\/2)*m)**(-1\/29)\/(m*m**(4\/5)*m*m\/(m**0*m))) assuming m is positive.\nAnswer: m**(1443\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 2*d**2 + 4*d**3 - d + 11 - 15 - 3*d**3. Let y be f(0). Let r be y\/(-18) + (-34190)\/(-45). What is r rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3920344 = -3*w - 27943. Let m = w + -2135467. What is m rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*o = 104*o - 211*o - 11. Let x(k) = 26*k**2 + 2*k. What is x(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*4)\/(-2*(15 + -15 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/360 - t**5\/20 + t**4\/4 + 4*t**2. Let v(o) be the second derivative of s(o). What is the derivative of v(b) wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21222120210 (base 3) in base 12?\nAnswer: 76b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46856815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2574 = 23*k + 3*k. Suppose -70*l = -k*l + 36192. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/3)*x**(-32) assuming x is positive.\nAnswer: x**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/8 - 29*t**3\/3 - 542*t**2. What is z(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 45 = s, 3*s = 8*s - 2*t - 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = 2*w, -2*w - 9 = -3*a + 6. Let k(u) = 2*u**2 - 8*u + 22. Let g be k(a). Let h = 46 - g. Calculate the remainder when 82 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from znekccpe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -211\/860370 and 19\/5061?\nAnswer: 860370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (3 - (5 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118936, 237900, 356892, 475912?\n\"Answer: 14*a**2 + 118922*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 4*y - 4. Let d(r) = -6*r**2 - 11*r + 11. Let z(g) = 11*a(g) + 4*d(g). Let h(p) be the first derivative of p**2\/2 - 1. Calculate h(z(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 267*y**3 + 3*y**2 - 20*y + 54. Let o be w(4). Round o to the nearest 100.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4715)\/(-82)*(-24)\/(-10). Let f be o\/30 - (3\/5)\/1. Solve -f*u + 5*z + 33 = 0, 2*u - 13 = 3*z + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88*r**2 + 29463*r*y + 772*y - 45531 wrt r?\nAnswer: -176*r + 29463*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eck when three letters picked without replacement from {c: 3, e: 1, w: 2, k: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 3*i = 6*m - 3, -5*m = -5*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -4412 (c) 2\/129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 84 * -5\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) 5 (c) -1.1 (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0*q**4 + 6*q + 0*q**2 + 0 + 3\/20*q**5 - q**3. What is the second derivative of s(g) wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 1, n: 1, a: 2, z: 1}. What is prob of sequence data?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/10*(-8)\/1008*-6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -24, -4 in descending order.\nAnswer: 2, -4, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 22*w = -268. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/35)\/(64\/56). Which is the third biggest value? (a) 1\/3 (b) g (c) 22 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - b = -20*l + 71, -5*b = 71*l + 477 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6 and -43\/1492.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -683038639 - 115?\nAnswer: -683038754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-1) - -3) + 2. Suppose z + 29 = -q*z. List the prime factors of (z\/(-3))\/((-5)\/(-15)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t*t*t\/(t*(t\/((t\/t**(-5))\/t))\/t))\/(t*t**(-2\/3)*t)**30 assuming t is positive.\nAnswer: t**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 88. Let x be h(31). What is the third derivative of -3*l**3 + 4017*l - 4*l**x - 3972*l + 9*l**3 - 2*l**2 wrt l?\nAnswer: -240*l**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15077868 to five decimal places.\nAnswer: 0.15078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 11*b**5\/30 + 3*b**4\/4 + 59*b**3\/6 + 9*b**2 + 1. Is r(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 39 + 39)*(-4 - 1 + 4) - 2*n**2 + 3*n**2 + n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 10, z = 4*f - 17 - 6. Solve 2*s - f*o + 2*o = -26, 5*o - 14 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 1. Let v(n) = -n**2 + 10*n + 4. Let u be v(10). Let c be (-18)\/12*u\/(-3). Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 1. Calculate d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 9. Let p(n) = 2*n + 2. Determine m(l) - 5*p(l).\nAnswer: -5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 6625739 and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 1. Let s be i(-1). Let u = -10957 - -10961. Suppose m = -4*k + 12, -m + 2*m + 2 = 3*k. Solve -s - u = -k*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = 16*b + 150. What is the greatest common factor of b and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 5*j**2 + 6*j + 35. Determine q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 19 - 14 = 0, 7 = -2*y - 3*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 - -4) + ((-3)\/21 - -2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3592621 to two dps.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 33*q - 240. Let c(k) = -5*k**2 + 67*k + 485. Let w(f) = -3*c(f) - 7*o(f). Factor w(a).\nAnswer: (a + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102102 - 100000101?\nAnswer: -100102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -32, -5, 4, -2, 6 in increasing order.\nAnswer: -32, -5, -2, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 7*i**4\/6 - 10*i**3\/3 + 10*i**2 + 3*i. Let s(h) = 5*h**2 - 7*h + 7. Determine -6*a(p) + 17*s(p).\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*u - 30605 - 74696. Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + r = -7, 32 = 4*t - 5*r + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 + 1)*(-1 - 3 + 1) + 3 - 3 - 1 + 0 + 3 - 1)*(-t - t - 2*t + 2) to the form q + w*t and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 32.26859 millimeters?\nAnswer: 0.03226859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 16. Let v = -2 - g. Is (12\/v)\/((-6)\/76) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/12)\/(14\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1586.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 7*f + 8. Let a be v(-10). Calculate the highest common divisor of 494 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -9645.\nAnswer: 9645.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -19*x + 1. Let b be p(-1). Let l = 163 + -160. Find n such that -5*n**3 + b*n**l + n**2 - 14*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 185570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. Suppose 22 + 35 = 3*j + i, -5*j + t*i = -109. Suppose 3*x + 0*x = -5*k + 50, -2*k + 3*x + j = 0. Solve -2*w + k = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -3614145.\nAnswer: 3614145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4233.32 and -5.9.\nAnswer: 4227.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -8*u + 43. Are u and -0.17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 4*g - 4. Let m be u(3). Let o be (m + -4)*(-4)\/(-5). Let n = -2 - o. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17870040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17412277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -166*l + 22. What are the prime factors of y(-12)?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2 - 63178336*w - 249468883733056 = 0.\nAnswer: -7897292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.085 + 12.885. Which is the second biggest value? (a) -0.03 (b) 0.4 (c) s (d) -0.1 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((180\/116)\/(-9))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -948 - 184*y + 937 + 182*y + 2*y**2 + 10*y**4 to t*y**2 + q*y + p*y**3 + d*y**4 + g and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from ulvl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/25 of a centimeter?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -5, 3, 11, 19?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1301, -2603, -3905, -5207?\nAnswer: -6509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 438, -3, -4 in decreasing order.\nAnswer: 438, -3, -4, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 1, b: 1, u: 2, m: 2}. Give prob of sequence mkb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005062202 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 962005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/3 - 418*t**3\/3 + 19176*t**2 - 835002*t - 4672035 = 0.\nAnswer: -5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 33 - 165*l + 39 + 2*l - 2*l - 2*l + (4*l + 0*l - 3*l)*(-3 + 1 + 0) + 0*l + l + 0*l)*(3 - l - 3).\nAnswer: 168*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15501 + -15557. What is the third smallest value in d, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 494.999999495 - 495. What is i rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 less than -1841183209817?\nAnswer: -1841183209848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/13))**(-1\/3) assuming q is positive.\nAnswer: q**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 + (13 - 7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 1 (c) -419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101233 (base 4) to base 3.\nAnswer: 1120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*m**4\/4 + 203*m**3\/4 - 183*m**2\/4 - 215*m\/4 - 25\/2 = 0.\nAnswer: -5\/7, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 822 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 67712*j - 2299896. Determine y(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 2 - 12\/12. Solve p*v = 2*r - 14 + 4, 2*v - 4 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(425) + 4)**2 + (sqrt(17) + 1 + -4 - ((sqrt(17) + 1)**2 + -5)).\nAnswer: 9*sqrt(17) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, r: 4}. What is prob of picking 1 z and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.216 rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 12 = 0. Let l(y) be the first derivative of -1\/4*y**4 - y - 414 + 1\/3*y**3 + 3\/2*y**2. Calculate l(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 2, n: 1, y: 2, c: 1, t: 2}. What is prob of sequence ycnc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2616 = -541. Suppose m + 5*n - k = 0, 5*m - 1306 = -4*n + 664. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.041 + 0.041. Let j be 3\/(-6) - (-7)\/2. Let f be j - ((-32)\/(-20) + 1). Which is the third biggest value? (a) 2 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 15. Let z be o(7). Let f(i) = -12 + i + 0 + z. Determine f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and (-225 - -1)*154\/(-49).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367, 732, 1097, 1462, 1827, 2192?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-63) + 922\/(-15). Let x = b + 62. Factor 4\/5 + 4\/5*p + x*p**2.\nAnswer: (p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 2*f - 3. Let r be w(-3). Let h = 7180 - 7118. Let o = r - h. Solve y + o*y = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -94. Suppose 8*j - q = 37. Suppose 0 = -2*y - 5*s - 0*s - 5, -5*s - 5 = -y. Solve 4*n + 2*r + r - 29 = 0, y = -j*n - 2*r + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12725.95126 + 12726. What is the nearest to 0 in 2\/13, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1517*1\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**3 - 10*j**2 - 5*j. Let b(h) = 12*h**3 - 15*h**2 - 8*h. Let v(f) = -5*b(f) + 8*y(f). Find the third derivative of v(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/37 (b) -0.5 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + 0.4. Suppose -11 = -3*l - 5. Let f = -503\/12 + 173\/4. What is the closest to h in -1, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25488781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42067 + 7*v - 42067.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zziiooozzoioz. Give prob of sequence oz.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let v(j) = -j**3 + 2*j**2 + 22*j + 19. Let i be v(6). Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/17 (b) -1\/4 (c) -7 (d) 526 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + a**2. Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 51, 139, 303, 567, 955?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -216, -492, -878?\n\"Answer: -55*j**2 - j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 140 = x, -6*c = -3*c - 2*x - 77. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 4*v**2 - v**2)*(4 - v - 4) + 3068*v + 573*v**3 - 3068*v + 1.\nAnswer: 574*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/140 + -17\/70. What is the biggest value in 0.5, 0.08, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045863 to seven dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16577 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o - 19*o - 566*o**2 + 11*o + 2*o to the form f + z*o**2 + n*o and give z.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 97*m + 4*m + 191774*m**4 + 3 - 191773*m**4 - 5 to the form t*m**4 + l*m + y*m**2 + o*m**3 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3120*v = 3107*v + 39. Solve f = -m + 51 - 54, 1 = -v*f + 5*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o + 39. Determine r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2\/5 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 + 304 = -25*q. Let y(w) be the second derivative of -1\/12*w**4 + 12*w - 1\/3*w**3 + 0*w**2 + 0 + 1\/20*w**q. Solve y(p) = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130 in -0.1, -18, 0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 + 1. Suppose 15 = 2*m + 3*m. Let r(p) = 3 + 14 - 18 + 3*p**2. Determine m*r(z) + 4*v(z).\nAnswer: -3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 1764*g**3 - 4*g**4 - 1760*g**3 - 2*g**4 - 3 as a*g**4 + s*g + d + j*g**2 + k*g**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4)*-1)\/(9\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 168*g**3 - g**2 + 7*g - 1. Is d(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 63*s**2 + 8*s - 4. Let l(f) = 4661*f**2 + 590*f - 295. What is 4*l(o) - 295*n(o)?\nAnswer: 59*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 4*w**2 - w - 5. Suppose 2*u - 20 = -3*u. Let b = u + -1. Let i be 0 + b\/((-9)\/(-12)). Give x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 = 5*d - 2*d, -35 = -4*d + 5*j. Sort d, 65, -4, -3 in ascending order.\nAnswer: -4, -3, d, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-5)\/1 + 1 - -3). Suppose 3*f + v*f + 5*a - 500 = 0, 3*f + 5*a = 300. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9359 = -46*x - 9957 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 2*l + 65\/2*l**2 + 0 + 1\/6*l**3. Let x be i(-30). Solve -5*q - 3*f + x = 0, 5*f = 4*q + 3 + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -120\/7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + p = 4*p - 27, -2*m + p - 74 = 0. Let f = -98 + 58. Is m less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z)\/z**3*(z*z**0*z)**35 assuming z is positive.\nAnswer: z**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 + 17 = 0. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68561 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 = 4*a. Let l be (0 - (0 - a)) + 1. Suppose 0*q = 5*q - l. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/741, 0.92, -2\/13 in descending order.\nAnswer: 0.92, 1\/741, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1)\/f))\/f)**26*(f**(-7)*f*f)\/f*f*f*f*f\/f**(-1\/2)*f)**14 assuming f is positive.\nAnswer: f**721","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 659 + -490. Let m = 174 - s. Solve 2*n = -m - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2541, -2539, -2451, -2277, -2017?\n\"Answer: 43*w**2 - 127*w - 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22733 - -22732.5. Sort o, 4\/13, 0.5, -1.6 in ascending order.\nAnswer: -1.6, o, 4\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*y + 2 - 4, 1 = -y. Is 9\/2 - u\/6 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)\/(-1 + 2). Let l = 0 - r. Suppose l = 2*x - 14 + 4. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2119640 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/143 + 139\/572. What is the fourth smallest value in 5, m, 3, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 + 131*p + 79*p**4 - 52*p - 82*p + 2*p**2 + p**3 to y + w*p**4 + d*p**2 + s*p + a*p**3 and give w.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d + 26*d - 62*d - 2*d**2 + (4*d + d - d)*(-2*d - 13*d - 4*d) + 3*d**2 - d**2 - 4*d**2 + 0 + 2*d**2 + 0 + (0*d - 2*d + 3*d)*(2*d - d + 0*d).\nAnswer: -77*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -451\/2 - -635\/3. Find the common denominator of 80\/(-448)*7\/((-70)\/212) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b49a1d + 3?\nAnswer: -b49a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 5:29 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 96411*o\/2 + 626587.\nAnswer: (o - 96398)*(o - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i + 1. Let z(k) = -k**2 + 6*k - 1. What is -4*s(p) - 5*z(p)?\nAnswer: p**2 - 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 502, 500, 498, 496, 494?\n\"Answer: -2*j + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175)\/sqrt(7) - sqrt(25))*-3)\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1458920 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-1\/2)\/y)\/y))**(2\/21)\/(((y*y**(2\/19)*y)\/y)\/y**(2\/11)))**(7\/5) assuming y is positive.\nAnswer: y**(-518\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9986418 by 256062.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**4\/4 + z**3 - z**2 + 8. Let n = 1 + 0. Let d = n - 3. Let g(m) = 2*m**3 + 4*m**2 - 3*m - 1. What is d*g(a) + 3*b(a)?\nAnswer: -a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2805500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/(-10) - -3)*-2. What is the biggest value in -0.5, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-45) - 0) + 12376\/(-27846).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/5 and 52 + -36 - 32124\/2012.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 2. Suppose 5*t - 5*r - 18 + 68 = 0, -5*r - 4 = 4*t. Let n(q) be the third derivative of -q**4\/8 + q**3\/6 + 2*q**2. Calculate t*p(f) + 11*n(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 13*l - 2*l**2 - 9 + 15 + (l + 0 + 0)*(2*l + 2*l + l).\nAnswer: 3*l**2 - 13*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -1, 0, 0.165?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23787.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((32\/40)\/1)\/((-2)\/(-585)). Factor -31104*x - y*x**3 + 746496 + 432*x**2 + 461*x**3 - 229*x**3.\nAnswer: -2*(x - 72)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/11)*k)\/(k*k\/(k*(k\/((k**(-7)\/k)\/k))\/k*k*k)*k)*((k\/(((k\/(k**(-1\/8)*k))\/k*k*k)\/k))\/k*k)\/k**(-2\/13))**(6\/17) assuming k is positive.\nAnswer: k**(40659\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1031, -1 in descending order.\nAnswer: 1, -1, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3464972604?\nAnswer: 2, 3, 96249239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39835*w + 42467*w - 47862*w - 14764*w - 12275*w - 49347*w)*(-1 - 1 + 0) to x*w + j and give x.\nAnswer: 243232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 8. Let p = -424 + 971. Suppose a = k*t - 439, -t - p = -6*t + 3*a. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -2 (c) 1\/14 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a - 3. Let i(f) = 9*f**2. Calculate i(c(s)).\nAnswer: 1764*s**2 - 756*s + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, t: 11}. Give prob of picking 4 t.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*a, 0 = s - a - 9 + 2. Solve q = 4*l + 18, s*q + 5*l = 9*q - 35 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 22, 71, 266, 655, 1286, 2207?\nAnswer: 3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -314.9.\nAnswer: -2204.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvgn when four letters picked without replacement from {v: 7, n: 3, g: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -232.4.\nAnswer: -232.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 211338?\nAnswer: -17\/211338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 114324?\nAnswer: 2172156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -55*s + s**2 + 55*s + 6*s**3. Let c(j) = j**3 - j**2 + 2*j + 1. Let x be c(0). What is the units digit of p(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086051.\nAnswer: 61, 50591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4. Give s(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69246 is divided by 33424?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*m - 5*t - 5, -1 = -2*m + t. Suppose -2*w + 4*j + m*j = -86, -5*j = 5. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvnv when four letters picked without replacement from {e: 1, v: 2, y: 2, n: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9))**45\/(x*x**(-5)*x\/(x*x*x**(-8)*x)) assuming x is positive.\nAnswer: x**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d**2 + 7*d**2 - d**3 + 6*d + 7*d**2 as y*d**2 + q + k*d**3 + o*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g + 20*g**2 - 31*g.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Suppose 3*i + 7 = 2*a, -4*i - 20 = a - 5*a. Suppose 3*m + k*x + 65990 = -0*m, 0 = -4*x + a. What is m rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 + 24 - 24.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 17*u - 63. Let l be q(4). Let a be l - (-1 + 0 + (-1)\/(-1)). Suppose 7 = 2*c + 5*j - 2*j, -5*j = 5. Solve c = a*w + 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10425113 (base 7) to base 2\nAnswer: -11011011000101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32202 is divided by 1894.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f + 2. Suppose 0 = f*i - 5*i. Suppose i*o = -5*o. Which is greater: 5\/7 or o?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(18\/(-144))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 780647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ovolvoolvol?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33539 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.2 (c) 2 (d) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let z = -2 + 7. Suppose 2*u = 5 + z. Give t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18*2*26)\/((-13)\/13). Suppose -t + 2878 = c. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10596 not equal to 10597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117083305 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2 + (5 - 3 - 1)*(-i - i - 3*i))*(-6*i - 4*i + 6*i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9523020 rounded to the nearest 10000?\nAnswer: -9520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 461198 = -462095 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*p - 1, -2*p - 8 = 0. What is the first derivative of -1 + 2*d + m - 5 + 0*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5202 * 1683.\nAnswer: 8754966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1079775, -1079776, -1079777, -1079778, -1079779, -1079780?\nAnswer: -1079781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q. Let m = -17 + 39. Let w = m + -28. Let z(p) = 11*p. Determine w*z(l) + 13*s(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 + 4*p**3\/3 - p**2 - 2*p - 4. Let w be s(2). Solve 23 = 3*o - 4*j - j, 5*o - w*j - 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1811, -7, -3, 30 in increasing order.\nAnswer: -7, -3, -2, 30, 1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/2 + 787*u**2\/2 - 192311*u\/2 + 13695125\/2 = 0. What is u?\nAnswer: 125, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2114 and 3\/490.\nAnswer: 73990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-20 - 0)\/(-5). Solve -4*v = -5 + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(4*l**3 - 3*l**3 + 0*l**3) + 0*l**3 - 4*l**3 + 5*l**3 + 29*l**3 - 13*l**3 + 3*l**3.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 11*j - 1. Determine u(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/2)\/(12\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 8) to base 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccocaaakkckokccoco.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -302816, -302319, -301828, -301343?\n\"Answer: -3*x**2 + 506*x - 303319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:10 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10416*o - 6*c = 10412*o + 44, 55 = 5*o + 3*c for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*i**2 + 36*i**2 + 144*i - 2 + 29*i**2 + 23*i**2 to the form c*i**2 + s*i + q and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q. Let k(f) = -5477609*f. Calculate k(v(c)).\nAnswer: 65731308*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*l - 152, 5*z - 4*l + 94 = 832. Let k(x) = 7*x - 3. Let i be k(9). Find the common denominator of (z\/i)\/(2\/(-6)) and -69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 405941.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9489.943 + -9490. Which is the nearest to t? (a) 0.2 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 26, 4, -1, -15\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -11. Suppose -4 = -5*l + h. Suppose -5*w = -2*o + 66, -2*o + 0*o + 54 = -l*w. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 10*l - 34, 5*l - 15 = -2*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 0)*-5 + 4 - -2428.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12595*o + 6370 wrt o.\nAnswer: 12595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 3059.5?\nAnswer: 58130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12755.4 rounded to the nearest ten?\nAnswer: -12760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.248 - -0.052. Let w = -94.095 - -94. Let p = 15.905 - w. What is the second biggest value in -4, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179\/4 + 45. Let w = 377\/7 - 54. Put w, r, 2, 0.08 in increasing order.\nAnswer: w, 0.08, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333039 to the power of 1\/2, to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:41 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + ((sqrt(3087) - -4*-3*sqrt(3087)) + -4)*3)*-2.\nAnswer: 204 + 8316*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**4 + 2*y**4 + 2*y**4)*(1 - 4 + 0) - 76*y**3 - 3*y**4 + 76*y**3 - 38*y**4 + 91*y**4 - 37*y**4.\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/194 - -1271\/6402. Find the common denominator of (1102\/1463)\/(3 - (-24)\/(-7)) and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + -13. Let c = z + 58. Let l = 34 + -22. Calculate the remainder when c is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90.8 or 0.1?\nAnswer: -90.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 20. Let b = m - 2. Suppose 0 = 7*f - b*f - 15. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*r - 3*d, 0 = 77*r - 74*r + 5*d + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 1600 = -0*t. Let j(l) = -6 - 6*l + 104*l**2 + 2*l - t*l**2 + 2 - l**3. Give j(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -16285608 in ascending order.\nAnswer: -16285608, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3845\/4 - 7649\/8. Let v = f + -5. Let k = 297 + -302. Which is the second smallest value? (a) k (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87 - 57) + -97 + 78.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 25*g - 153. Let m be x(17). Solve 4*f - 10 = -2*d, -2*d + m = -3*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097128 is divided by 66?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 477\/356 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*o - 3*o. Let d be 79 - (-1)\/(1\/3). Calculate the lowest common multiple of (-8)\/(-28) + d\/7 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 34*s - 85. Let f be k(12). What is the greatest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-6)*1\/28. Let x be ((-346)\/20 + 4\/(-20))*2. Let z = x - -34. Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179216 divided by 44804.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1213 - 7*l + 6*l + 461 + 125.\nAnswer: -l - 627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/((-300)\/(-80))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5 - 94*n**4 - 2632*n**3 - 20016*n**2 - 51408*n - 42336 = 0.\nAnswer: -42, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 7}. Give prob of sequence ff.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -146. Let b be (-2)\/(-2) - (3 + -2). Solve -r + 1 - z = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5258 is divided by 329?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -11, 10 in ascending order.\nAnswer: -11, 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 40 + 100. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 232 = -3*z - l, 2*z - 168 = 2*l. Let j(b) = -7*b - 8. Calculate the remainder when z is divided by j(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547 = 72*x - 339*x - 13740 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 10. Suppose 0 = -2*d + 2*a + 2*a - 6, -5*a = -u*d. Suppose -h - 2 = -d. Is -9 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 - 1888 - ((5 - (0 - 2)) + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 10 - 15)*(1687*k + 36*k**2 - 6 - 1687*k) to the form d + q*k + p*k**2 and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.8668619 grams in kilograms?\nAnswer: 0.0008668619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 12, z - 19 = -v + 5*z. Let h = 970 + -966. Solve 3*y + v = h*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 62185?\nAnswer: 62189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4 - 4. Let v = -6 - -11. Suppose v*j + s = 6*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14628, -14571, -14516, -14463, -14412, -14363, -14316?\n\"Answer: -b**2 + 60*b - 14687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454 + -430. Suppose -p = 5*p + g. Which is the biggest value? (a) 163 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 4*v - 6 + 25)*(-v**2 + 2*v**2 - 3*v**2) as b*v**2 + u + i*v**3 + g*v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 + 6*k**2 - 15*k - 8. Let p(c) = -c**3 - c**2 + c + 1. What is -m(a) - 6*p(a)?\nAnswer: -2*a**3 + 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 863057 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102459563 to the power of 1\/2, to the nearest integer?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 1 - (-19 + 19)) + -14 + 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.9 + -14. Let z = 15.4 - p. What is the third smallest value in z, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:39 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 277963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -8*s + 13*s + 2*y, 2*y - 12 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + 1) + (-2*sqrt(847) - sqrt(7))**2 - 3*sqrt(567)*1.\nAnswer: -24*sqrt(7) + 3706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6444 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -63*c**3 + 8*c**2 + 8*c + 8. Let k(j) = -21*j**3 + 3*j**2 + 3*j + 3. Give -8*k(q) + 3*w(q).\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*k**4\/5 - 122576*k**3\/5 - 26777532*k**2 + 575917496*k\/5 - 153615392\/5 = 0. Calculate k.\nAnswer: -2191, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 36 = -4*s + 5*o, 5*s + 3*o = 96. Let y(a) = 8*a - 35*a**2 - 24*a**2 + 38*a**2 + a**3 + 0*a**3 - 4*a + 10. List the prime factors of y(s).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 11:50 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2 + 1\/(3\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-4)*v\/((v\/(v\/(v*(v**6*v)\/v))*v*v)\/v)*(v*(((v*v**(-1\/3))\/v)\/v)\/v*v)**20 assuming v is positive.\nAnswer: v**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 11*r**3 - 33*r**2 + 37*r - 14.\nAnswer: -(r - 7)*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(-2)\/((-8)\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - 82. Let q be n(0). Let i = 125 + q. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4279711022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 + -2395\/17. Let d = -2202 - -2207. Which is the third biggest value? (a) n (b) 30 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51099 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -462*p + 2*p**2 + 462*p + 5. Calculate the remainder when h(3) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1871836 = 2821*o - 2825*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-230)\/92*(-1280)\/140)\/(4*(-2)\/(-28)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/74276 and 42\/2995.\nAnswer: 371380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -6, 4, -15 in decreasing order.\nAnswer: 4, -1, -3, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*t - 16, 2*t + 4*d + 3 = -5. Is -13\/5 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -1\/21*d**3 - 43 + 1\/7*d**4 - 2\/7*d**2 + 1\/35*d**5 + 0*d. Factor t(o).\nAnswer: o*(o - 1)*(o + 1)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*c**4*l - 401*c**2 + 2*c*l**2 + 4909521*l**2 wrt c.\nAnswer: 72*c**3*l - 802*c + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730761 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -81 and 9232911999?\nAnswer: 9232912080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1211 + 779 + 587)*(2*y - 4*y + 0*y - 2*y**2).\nAnswer: -310*y**2 - 310*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 279*w - 1113. Calculate c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Suppose -y - 2*y + 14 = -b, 4*y = 0. Let a(i) = 2*i - 2. Calculate b*z(l) + 6*a(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390743 is divided by 17760.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + 3 + -1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -1100?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -85*j - 1. Let s be m(-2). What is s rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004609712 to seven dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 - 17*l**3\/6 - 13*l**2 - 16*l\/3 + 64\/3.\nAnswer: -(l - 1)*(l + 2)*(l + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y + 2 + 3*y - y**2 - 7*y - 2*y. Let u be r(-12). Solve -8 = -4*c + u*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123598 is divided by 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5370 (base 14) to base 8\nAnswer: 34106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((((-190)\/(-57))\/(-10))\/((-2)\/12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132 - -22110110310?\nAnswer: 22110103112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/12 - 9*j**2 - 42*j. Let f(y) = -109*y - 3. What is f(k(c))?\nAnswer: -218*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 131*m**2 - 14*m - 2. What is the hundreds digit of l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + -10 + -3 + (-20652 - -20724)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14027 and 3504592.\nAnswer: 45559696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.797 + -5.797. Which is the smallest value? (a) 1\/2 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:34 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**44)**(-1\/67)\/(((s*s**(-4)*s)\/s)\/s**(-2\/13))**(-2) assuming s is positive.\nAnswer: s**(-35850\/6097)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -70, -201, -378, -589, -822?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3\/4 - 165*a**2\/4 - 186*a + 531 = 0.\nAnswer: -6, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.48 - -0.12. Let p = -0.8 + u. Let g be -15 - 403\/26*-1. Which is the third biggest value? (a) g (b) -19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 526329.199912 + -526058.2. Let x = c - 271. What is x rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35270700 to the nearest one hundred thousand.\nAnswer: -35300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10 - -8))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1286 by -161.\nAnswer: -1286\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - -2.08. Let o = 0.2 - a. Let p = o - 0.12. What is the closest to 0.2 in p, 4, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2608543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -30*m + 35*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrrr. What is prob of picking 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*-3*(-320)\/(-48)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-4 + 1)\/((-2373)\/3616). Which is the nearest to -10? (a) -2\/49 (b) v (c) -2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2. Let u(v) be the first derivative of 5*v**3\/3 - 8*v - 2. What is f(u(y))?\nAnswer: -75*y**4 + 240*y**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4, -3*n + 3*d = -d + 44. Let x be 15\/4 - 4\/n. Let f(z) = -z**3 + 5*z**2 - 4*z + 4. Let k be f(4). What is the highest common divisor of k and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73\/4 of a kilogram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 49, 69, 71, 49, -3?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*(-12 + (-2 - -4)). Let x = 0 - b. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 56. Let m be s(20). Let p(j) = -10*j + m + 13*j - 2*j. Let r(l) be the first derivative of l**2\/2 - 8. Calculate p(r(d)).\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) + 0) + 2)**2.\nAnswer: -16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148 is divided by 122.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y + 0*y)*(-4 + 0 + 3)*(3 + 1 - 2).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 45. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.2, -3, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwnnnnnwn. Give prob of sequence nw.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/4)\/(6\/24). Is (-2 - m) + -3 + 37 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h + 3. Let k(p) = -5*p + 2. Let y(m) = 3*k(m) - 2*s(m). Let j(a) = 2*a. Calculate y(j(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 2*c, 0*c + 40 = 4*x + 4*c. Suppose 0*z - 714 = -3*z. Suppose z = 4*n - 70. Calculate the highest common divisor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1606, 1607, 1608, 1609?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 - 2*z**2 - 9*z + 9*z - 16*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*b = 7*b - 40, j - 8 = -2*b. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:22 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31\/(-155) + (-45944)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 + -0.35000062. What is t rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 80 - 9*u + 36 - 6*u**2 + 33 to w + z*u + b*u**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*a**4 + 3*a**3*i - a**2*i*q + 2*i*q + 2*i - 151*q + 46 with respect to a.\nAnswer: 104*a**3 + 9*a**2*i - 2*a*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/136)\/9)\/(2\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 20 = -x. Find the common denominator of -48\/11 and x\/3*16\/(-20).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/312 and -17\/2850.\nAnswer: 148200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 11*n**2 + 11*n - 9. Suppose 2*k - t - 13 = 3*k, -4*k - t - 46 = 0. Let b(m) = m**3 + 6*m**2 - 6*m + 5. Give k*b(w) - 6*i(w).\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -13 - 15*u**2 - 79\/6*u**3 + u. Differentiate h(n) wrt n.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 + 218*r**3 + 3492*r**2 + 20088*r + 39312 = 0.\nAnswer: -91, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 5*s = -s. Suppose s = -3*l + 418 + 176. Is 66 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-169)\/52 + 4 + -1. Which is the second smallest value? (a) 2 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 0 + -5 + -6*(2 + sqrt(11)).\nAnswer: -17 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 157, 228, 319, 436, 585, 772?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 1\/2*h**2 - 2*h - 1\/6*h**3 - 1\/20*h**5 + 1\/6*h**4 + 0. What is n(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -24. What is the second smallest value in 5, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 4\/12*(5 - -724). Let n be (6\/(-9))\/(1\/219). Let w = n - i. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {y: 2, o: 6, x: 2, p: 3, h: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 17 + 25. Suppose 0 = -2*p + 15 - 5. Let d = p + -3. What is the lowest common multiple of l and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 + 73647*t**3\/5 + 73247823*t**2\/5 + 24739596717*t\/5 + 2798546222538\/5.\nAnswer: 3*(t + 341)**3*(t + 23526)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1755 - -3391. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 358*n*u**2 + 25*n + u**2 - 4 wrt u?\nAnswer: 716*n*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 2*h - 3 + 0 + 4*h**3 + h**2 + 4. Determine v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (120\/(-78))\/10 + (-2)\/(-13). Let t be (30\/7)\/((-11)\/308) - c. Are -237\/2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(8)*-2*-3)\/(sqrt(64) - -1*sqrt(64)) + -1 + sqrt(50)*-4 + sqrt(50) + 2).\nAnswer: -5 + 285*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m. Let t be x(2). Let f = 504\/11 - t. Let n = 0 + 1. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 12 - 23)*(0 - 2 + 5)*(-2 + 2 + t)*(-3*t**3 + 4*t**3 - 2*t**3) to i*t**4 + d + v*t**2 + o*t + b*t**3 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108463*w**3 + w + 830335 wrt w?\nAnswer: -325389*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2. Let y(u) = 9*u**2 + 6*u + 30. Let l(m) = 26*m**2 + 17*m + 85. Let c(b) = -6*l(b) + 17*y(b). Determine r(c(z)).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 163*q**3 - 7*q + 162*q**3 - 2 + 2 in the form d + g*q + y*q**2 + i*q**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owjwach. What is prob of picking 1 w, 1 j, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 + 50*m**2 + 119*m wrt m?\nAnswer: -6*m + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 + 6*l - 8*l**3 + 244 - 28*l**2 + 5*l**3.\nAnswer: -3*l**3 - 28*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -28, -7 in descending order.\nAnswer: 4, -7, -13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(95\/(-2)))\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjsjycrs. What is prob of sequence sks?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, r: 2, a: 4, c: 6}. What is prob of sequence cc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) -2.4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11913 by -2.\nAnswer: -11913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let h(k) = -3*k - 5. Let u = -255 + 253. Calculate u*m(j) - h(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/12 + t**2\/2 + 32*t. Let i(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -0.0287, -10, -12 in descending order.\nAnswer: 0.1, -0.0287, -3, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 19495*m - 58440.\nAnswer: -5*(m - 3896)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697*y + 1677*y = 5111*y - 1697*y - 80 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -32. Suppose 0*u + 3*u + 6 = 0. Let d = u + 5. What is the third smallest value in d, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 15*j - 24. Let t be o(-13). Solve -5*x = 4*y - 8, -2*x = -x - t*y - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8010426 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.3, 4.\nAnswer: 0.3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 1082. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1010101000?\nAnswer: -1010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.0472, -5, 0.4?\nAnswer: 0.0472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*(h\/(h\/((h\/(h\/(h\/(h\/h**1))))\/h)))\/h*h)*h**2 assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5277.85 - -5278. Which is the second biggest value? (a) j (b) -2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.51702 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*k = 123*k - 37 - 35. Solve -3*s - k = 0, -m = -3*s - 3 - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**6\/60 + 2*j**3\/3 - 2. Let b(i) be the third derivative of o(i). Let w(v) = v**2. Give b(w(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-7904)\/24))\/(6\/16)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6474 - 90751\/14. Calculate the common denominator of -39\/2 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1136 = r, -3*r = -k + 2833 + 586. What is r rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/1269543 and -29\/346239?\nAnswer: 3808629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22085651 is divided by 5521402?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 867687679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 35789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 8, i: 2, u: 3, y: 2}. Give prob of sequence uqi.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 5*n - 18. Let q(x) = -5*x**2 - 4*x + 19. Let g(v) = 3*m(v) + 2*q(v). List the prime factors of g(5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -653, -1304, -1955, -2606, -3257?\nAnswer: -3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 25*i**2. Let n(k) = -k**3 + 8*k**2 + 1. Let t be n(8). Let m(f) = f**2. What is t*a(v) - 30*m(v)?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m**2 + 2*m**2 + 0*m**2 - 5*m**3. Let o(u) = 10*u**3 + 15*u**2. Determine -11*n(y) - 6*o(y).\nAnswer: -5*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 11*m**5\/7 - 9538*m**4\/7 + 234529*m**3\/7 - 1804694*m**2\/7 + 4496748*m\/7 - 394056\/7 = 0.\nAnswer: 1\/11, 6, 13, 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(2\/9)*(a**(-2\/9))**40 assuming a is positive.\nAnswer: a**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5 + 72*o**4 - 116*o**3 - 2224*o**2 + 528*o + 7744 = 0.\nAnswer: -4, -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35094 (base 13) in base 3?\nAnswer: 11220202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d**2 - d + 1. Let l be g(1). Let t be (l\/(-5))\/(21\/(-15)). Factor 0*b + 0 + t*b**2.\nAnswer: 2*b**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -179\/7 or -27?\nAnswer: -179\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*2\/(-32))\/(((-16)\/12)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hqhqqqqqq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = -336. Calculate the greatest common divisor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 56.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1950 and 390?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from sbsbsswssbjsb?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p**2 - 27*p. Let z(h) = 13*h - 3*h**2 + 0*h + 8*h**2. Let v(l) = 6*j(l) + 13*z(l). Let b = -16 - -22. Calculate v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -137 - 56*o + 41*o**2 + 56*o - 40*o**2. Let q(f) = -f**2. What is z(q(c))?\nAnswer: c**4 - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10872 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 2:50 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565084 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2385675130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 0 + (6 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 335, 333, 331, 329, 327?\n\"Answer: -2*u + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -29 - 48. Put -5, v, 0, -4 in decreasing order.\nAnswer: v, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3600, 9169, 14742, 20319, 25900, 31485, 37074?\n\"Answer: 2*v**2 + 5563*v - 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423\/94*(-85016)\/(-12)?\nAnswer: 3, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180637.\nAnswer: 1180637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/6 (b) 41 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4925 minus -125.38?\nAnswer: 5050.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -439735\/4 - -109934. Suppose 3\/4 - 1\/4*h**3 + 5\/4*h + l*h**2 = 0. Calculate h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 9*f + 8. Let u be q(-7). Let g = 72 - -38. Calculate the highest common divisor of g and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -9\/2*o**2 + 2*o**3 + 0 - 27*o + 1\/12*o**4. Calculate n(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/154224 and 59\/15708?\nAnswer: 1696464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 - 15*l**3 - 90*l**2 - 20*l + 120 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 5*d)*(69 - 1761 - 19 + 722).\nAnswer: -1978*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + n + 2*n = -53, 5*x + 3*n - 319 = 0. What is the tens digit of x - (3 + 1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*1)\/(sqrt(128)*-2) + 5 + -3.\nAnswer: 3*sqrt(11)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -61*4\/82 - -3. Let f = -46 - -47. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - g + 1418, -4*x + 5*g = 990 - 2420. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 + (-1 + 2 + 1)*(-1 - 1 + 1))*(0 - 1 + 0)*(-5*c + 44 - 44).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.106776369 to five decimal places.\nAnswer: -0.10678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 r when four letters picked without replacement from {c: 2, r: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 33090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 18*v + 90. Let d be w(8). Let b = -180 - d. What is the lowest common multiple of b and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-2)*(-16)\/10. Suppose 0*j = 4*j - r. Suppose -j*z + 3126 + 39 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Suppose -4*k = a*x, -x + k - 14 = -5*x. Suppose 1 - 9 = -x*o, -24 = -2*u - o. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/12 - 96473*a**3\/12 + 96475*a**2\/4 - 289427*a\/12 + 24119\/3 = 0.\nAnswer: -96476, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (69\/(-92))\/(2\/(-8)). Let m be 1\/((-1 - -3)\/2) + 4. Sort m, p, -4 in descending order.\nAnswer: m, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 82 (b) 1\/7 (c) -6 (d) 0 (e) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide (-94)\/(-4)*(-177 - (-45)\/(-5))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 135. What is f(26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*d - 311*d**3 + 0*d - 37*d - 18*d - 108*d wrt d?\nAnswer: -1866*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 - 117.3. Let b = w - 9. Let p = 1.3 + b. Does -0.6 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**8\/672 - i**7\/105 + i**6\/80 + i**5\/30 - i**4\/12 + 5*i**2. Solve s(k) = 0 for k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 5, -87, -1 in ascending order.\nAnswer: -87, -5, -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*r**4 - 79*r**2 + r - 2178 with respect to r.\nAnswer: 28*r**3 - 158*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b**3 - 2*b**4 + 17 - 47*b**2 - 40 - 45*b**2 - 288*b - 139 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -6*q + 3*q. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-11 - -5)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + (5 + 659 - (-2 + -1)).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from yyzyyoyffoyooftfofo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 51 = -16*v. Solve v*a + 1 = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 4*d**2 + 0*d + 0*d**6 + 0*d**5 + 0*d**7 - 11\/168*d**8 + 7\/8*d**4 + 0*d**3 + 0. Find the second derivative of m(z) wrt z.\nAnswer: -440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.2 (c) -751\/44 (d) 5 (e) 0.1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000868 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3 + 3. Let f = r - -14. Let i = f - 5. Put i, 2\/7, 5 in descending order.\nAnswer: 5, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + s - 7 = -0*c, 0 = -4*c - 5*s + 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10987a7 (base 11) in base 13?\nAnswer: 520803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -562.472?\nAnswer: 11.24944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/15 - 68*q**5\/25 + 4*q**4 + 356*q**3\/15 + 21*q**2 - 7925. Let w(d) = 0. Calculate d.\nAnswer: -35, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 4*n - 1. Suppose 3 = x + 2*x, -4*x = -3*i + 122. Let t be (0 + 6)*112\/i. Is k(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - m - 12. Let d be w(0). Let x = d + 18. What is the remainder when -2 + (18 - (-1 - 0)) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 = 17. Let s = 2 - -1. What is the second derivative of 7 + 0*o**2 + 2*o**2 - u - s*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0319848 to 4 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63106700 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-45) + ((-3)\/(135\/449))\/((-646)\/(-3230))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/75550 and 4\/325.\nAnswer: 982150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) - (-258)\/76. Let l = f - 25\/6. Let r be 6\/21 - (-33)\/7. Sort -4, r, l.\nAnswer: -4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/6 + 3791959*v\/6 + 1263987 = 0 for v.\nAnswer: -2, 3791961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2, -17 in descending order.\nAnswer: 1, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4695.764291 + -0.035709. What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 203, 302, 399, 494?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161826 and 46236.\nAnswer: 323652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(12\/(-228)*27\/(324\/(-12))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36662566 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: Calculate the highest common divisor of 1337 and 4711.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*l = -14. Suppose l*m + 0*m - 6 = 0. Let o = -0.03 - 1.97. Which is the second biggest value? (a) m (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133513 is divided by 358?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*z - 0*z + 8, 2*w + 5*z = -2. Let t = -4 + 8. Find the second derivative of -t + w + k**4 + k wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:44 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 4381535?\nAnswer: -4381532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201222 (base 3) to base 13.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -204861 (base 9) in base 10?\nAnswer: -121717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:34 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -2. Let f(a) = -a + 1. Let j(k) = -3. Let d(c) = m*f(c) - j(c). Let b be d(1). Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 2. Let u be f(0). Suppose 0 = 7*a - 10*a. Let h = a - u. Is h at least as big as -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 112?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*c + 20 = 0, -3*c = 5*z + 18151 - 18049 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/28 + 4)\/((-48)\/(-84)). Let w = -19 + 23. Let t = 5 + -2. Which is the closest to -15? (a) w (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(9\/5)*u\/u**(-11) assuming u is positive.\nAnswer: u**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 8*q**2 - 6*q - 3. Let h be f(-5). Let u = 25 - 70. Let b = u + h. Calculate the lowest common multiple of b and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqlgquuj. What is prob of sequence uu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12025451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 459 = 4*l, -u = 3*l - 169 - 180. Let i = -83 + l. What is the greatest common divisor of i and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1508 and 396?\nAnswer: 149292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 11100110110000011010011111?\nAnswer: -11100110110000011010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let k(v) = 2304*v**2. Calculate k(j(y)).\nAnswer: 2304*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2445793875, -2445793873, -2445793871, -2445793869?\nAnswer: -2445793867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/((o**(-11)*o)\/o))\/o)*o)**37\/(o**5\/o**(-13)) assuming o is positive.\nAnswer: o**(-388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*t + 46 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p + 1. Let b be w(5). Let c(r) = 9*r**2 - r + 1. Calculate c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55008?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 77874*l**2 + 155745*l - 77872.\nAnswer: (l - 77872)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 2. Let c(r) = -4*r + 3. Let m(d) = 3*b(d) + 2*c(d). Let z be m(4). Suppose -3*h = -p - 13, p + 15 = z*h + 2*p. Sort h, 1, -1.\nAnswer: -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven tenths of a millimeter?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 1c4e?\nAnswer: -1c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (25 - 12) - (2 - (-2 - 6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*g*r + 2*g - r**2 + 87 wrt r.\nAnswer: 11*g - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144, 511, 878, 1245?\n\"Answer: 367*h - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d = 49*d + 7185. Let s = d - -5000. Let z = 6696 - s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*1)\/((-4)\/8). Let k(b) = -4*b**2 + b. Let q be k(-1). Sort 2, u, q in increasing order.\nAnswer: q, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -23. Suppose 287 = 2*g + 3*y, -72*y + 68*y - 280 = -2*g. What is the remainder when g is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0535, -2\/29, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 77307.25 millennia?\nAnswer: 77307250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -278.8 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let v(z) = 313562*z. What is v(f(n))?\nAnswer: -313562*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249 + (16 - 8) + -14?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 829*c**3*v**2 - 20*c**3 + 8*c*v**2 - 2*c*v - 39*v**2 + 2*v wrt c.\nAnswer: 4974*c*v**2 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22270 and 1530?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -388953, -388961, -388971, -388983, -388997?\n\"Answer: -c**2 - 5*c - 388947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1, 1044, -5 in decreasing order.\nAnswer: 1044, 15, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 + -28 - 67) + 0 + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225 is divided by 667?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1816128*i**4 - 178736 wrt i.\nAnswer: -7264512*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -786186.0029 + 786226. Let m = v + -40. Round m to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7654 = -178*h - 8958 + 5042 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385 + -382. Which is the second biggest value? (a) 2 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 531 + -363. What are the prime factors of w\/(-18)*(-108)\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1013640476 + -0.4?\nAnswer: -5.5013640476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -122231131121?\nAnswer: 122231131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -103) + (0 - -2). Suppose 618 = 4*b - 2*s, -191 - g = -2*b + 3*s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*o + 289, o = -35*q + 34*q + 66. Suppose 26*w - o = 7. Factor 405\/2*k**w - 900*k**2 - 40 + 370*k.\nAnswer: 5*(k - 4)*(9*k - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4 - 4 - d**2. Let v(w) be the first derivative of -w**4\/3 + w + 4. Let m(h) be the first derivative of v(h). Give j(m(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 4*k + 2. Let g = 399 - 199. Suppose g = -9*f + 4*f. Let z be 15\/4 - (-5)\/(f\/(-2)). Calculate h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l - 1. Let k be c(3). Let n be (-2 - -4) + 0 + -34. Let r be n\/(-18) + k\/9. Let x(g) = -g**3 + 2*g**2 + 2. Give x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41452809.\nAnswer: 3, 109, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let h(t) = 2*t. Give h(k(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + (-27 + 13 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 9*w**2 - 22*w - 123. What is c(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.4 + -11.3. What is the nearest to 6 in -3, 1\/3, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 - 5. Let l be y(0). Suppose 0 = 3*g + 2*a - 18, 5*g - 15 = -a + 15. Let k be (g - 8)*(-35)\/(-14). Are l and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/9 + 14*b**4\/9 + 38*b**3\/9 + 50*b**2\/9 + 32*b\/9 + 8\/9 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85732866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33310 - -33067. What is the closest to x in -4, 4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54027.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 794+-0.8331\nAnswer: 793.1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-100))\/((-3)\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - (-4 + 23 + -13 + 13 + 6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9454981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 24*o**3 - 5*o**2 + 15*o - 24. Let v be l(2). Which is smaller: v or 884\/5?\nAnswer: 884\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(135\/(-18)))\/(5\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9870675 or -9870676?\nAnswer: -9870675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895 + 2474 = -3*p. Let z = p - -3578. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 352, 667, 1020, 1429, 1912?\n\"Answer: 3*z**3 + z**2 + 291*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let f(t) be the second derivative of -17*t**3\/3 - 10*t. Calculate b(f(w)).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23900*8.\nAnswer: -191200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/(-8)*(-15)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237159868?\nAnswer: 2, 11, 5389997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r. Let f be x(-1). Let y be (-4)\/6 + (-6)\/f. Suppose y = 4*k - 0*k. Solve k*o - 3*s - 2 = -o, 27 = 5*o + 2*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from ggpgpggggpggggpppg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-48) + (-1)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 15*s**3 - 7*s**2 + 25*s + 29. Determine t(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:59 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15. Suppose -2*l - 1478 - 434 = v. Let g = 1435 + l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f, -5*f + 3 = -0*j + 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -17 - (6 + -1)) + -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*l - 31 = 0, 3*g = -l + 7 + 6. Let m = 14780 + -14768. Suppose -g*n + m = -2*n. Calculate the remainder when 45 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8417 - -8412. Which is the nearest to -33? (a) -7 (b) -1\/4 (c) g (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8843 - 8843.000005899. What is z rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -509*a + 499*a + 21710. What are the prime factors of a?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 79. Suppose -126 - c = -g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 755*n + 4531. What is s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 956*k**4*w + 5*k**3*w - 2*w + 615 wrt k?\nAnswer: 3824*k**3*w + 15*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/2 + 3*s**2\/2 + 27*s\/2 - 27\/2 = 0 for s.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p - 7. Calculate the remainder when 2\/(-5) + (-3496)\/(-40) is divided by d(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 2*l - 93 - 172 + 24 to u*l + y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18890988.\nAnswer: 2, 3, 1574249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-12)\/(j**(1\/4)\/j**(1\/11)) assuming j is positive.\nAnswer: j**(-7\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 15. Let g(f) be the third derivative of f**4\/24 - 8*f**3\/3 + 4*f**2 + 496*f + 1. Give -2*c(v) + 3*g(v).\nAnswer: -v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:01 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10 + (-2)\/((-4)\/(-15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**3 + 9*l**4 + 5*l + 12*l**4 - 18*l**4 + l - 3*l**2 = 0. What is l?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 15 - 0. Suppose o*u + q - 16 = u, -3*q = -4*u + 16. Solve -u*g - 1 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310155382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i = 55*i + 73. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -19 in descending order.\nAnswer: -5, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + 3 - 3)*(799*d**2 - 150*d**2 + 2 - 2) to the form k*d**4 + c + y*d**2 + v*d + l*d**3 and give k.\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from ttrtrrarlhh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 1 e when three letters picked without replacement from {f: 1, e: 3, c: 2, s: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/1)\/(-63*172\/1806).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:36 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-1\/4))\/i)\/i)\/i**(-2\/27))\/(i**(-7)\/i*i*(i\/(i**(1\/7)*i))\/i*i) assuming i is positive.\nAnswer: i**(4889\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81104 and 2331888?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221815 and 51557?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1b8?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i. Solve -v + 5 = -i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5818 - 5820. Sort 0.66, b, -5, -9 in descending order.\nAnswer: 0.66, b, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (1 + 1)\/(-2). Let f be 10 + 6 + (-70)\/7. Suppose -4*c = -q*a - 19, 3*c + f*a = 2*a + 33. Calculate the greatest common divisor of 56 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -11*l**4\/8 + l**3\/6 + 73*l**2\/2 + 225. Let t(x) be the second derivative of r(x). Let n(p) = 3*p**2. Calculate t(n(o)).\nAnswer: -99*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031*z - 52030 = -1089*z - 5145*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1788766 or -23253940\/13?\nAnswer: -1788766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 2*f + 8*f + 3*f + f - 2*f + (0*f - 4*f + 2*f)*(0 - 2 + 0) + (-105*f + 204*f - 116*f)*(1 - 5 + 2)*(2 - 3 - 2) in the form t + h*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -579*k + 559*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 + 8 + 34964*o - 14.\nAnswer: 34964*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 + 8*b**3 - 814 + 814 + 27*b + 4*b**3.\nAnswer: -2*b**3 + 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 3. Let r be s(-5). Let f(g) = -27 - 5 - 2*g + 21. What is the units digit of f(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -3. Let y = -4\/581 - -13379\/2324. Is y greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 22*a - 5. Let f be ((-10)\/(-4))\/(9\/18). Solve o = -3*h - 15, -f*o + 2*h = a + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(28) + sqrt(84)\/sqrt(3))*-3)**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10450230 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220679 divided by -20.\nAnswer: 220679\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.05, 25, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639495586 to the nearest integer?\nAnswer: 25288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4 - -4. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 - -164. Let z = -26 - h. Let o be (-3)\/(-7) - 6\/18. Which is the closest to -1? (a) -0.3 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3469257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 348 + 252. Calculate the common denominator of (-9)\/42*(-4620)\/r and ((-1)\/(-5))\/(12\/1370).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1313754\/(-14) - (-12)\/21. Let y = 148839 + g. What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 - 4*w - 6. Let b be h(-5). Let d be (1 - -1) + b\/(-9). Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + l**2 - 16*l**2 + 9*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81478036 divided by -4.\nAnswer: -20369509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3672, -7350, -11030, -14712, -18396, -22082, -25770?\nAnswer: -29460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s - 12*s - 2*s + 320 - 368. Let h be r(-5). Let b(j) = j**3 + 0 + 7*j**2 + 4 - 6*j + 6. What is b(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**3 + 17*o**3 - 73*o + 73*o.\nAnswer: -26*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10)*(6 + -7 + -14). Suppose -3 = -4*m + 13. Suppose d - 5*d + 4 = m*r, 3*r - 9 = -d. Sort 5, r, l.\nAnswer: l, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123243937.29 rounded to the nearest 10000?\nAnswer: 123240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36717353 to the power of 1\/2, to the nearest integer?\nAnswer: 6059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*(-42)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5.5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Suppose 2*x = 5*x - 36. Determine b(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -9 + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-8)*r**(-7))\/(r*r**(1\/2)\/r)**38)\/((r**0\/r*r**(-1\/2)\/r)\/((r*r**0\/r*r*r*r)\/(r**(-1)*r))) assuming r is positive.\nAnswer: r**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/2 - 33*a\/2 - 17 = 0. What is a?\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + 5*d**3\/3 - 3*d**2 - 3*d + 27. Calculate n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 9*y = -165. Let l be (-93)\/155 + 2709\/y. What is the highest common factor of 420 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = 0, 5*g - 6*q - 35 = -q. Let s = -1 + 4. Suppose -1 = s*w - g. Solve 2*b - w = -7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001121 - 11?\nAnswer: -1001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*n + 5 = 0, 0*n = -4*y + 2*n - 16. Let k(a) = 3*a**2 + 12*a - 7. Let j be k(y). Let m(i) = -6*i - 33. Let s be m(-6). Solve 0 = s*x - j - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/996 and 1\/136120.\nAnswer: 408360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*l**2 - 111248096*l + 22249620.\nAnswer: -4*(l + 5562405)*(5*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -802 - -804. Calculate the lowest common multiple of 280 and m.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 347, 695, 1043?\n\"Answer: 348*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142 a factor of 766428300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 30179970*d**2 + 15 + 30179969*d**2 - 14. Suppose 13 - 3 = -5*k. Determine n(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -4, 68828 in increasing order.\nAnswer: -37, -4, 68828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m - 3. Let f be -2*(-1 + m\/(-4)). Suppose -f*i = -0*z + z + 15, 5 = -i. Is z bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*o + 404, 0*n + n + o - 100 = 0. Suppose -2321 - 1715 = -4*h - 2*z, -3*h = -3*z - 3027. Let a = h - n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1304033234 (base 6) to base 13.\nAnswer: -322c78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14 + 230*r**5 + 121*r**5 - 614*r + 617*r wrt r?\nAnswer: 7020*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-66) + 4\/(-6). Suppose -34*k = -21*k - 1898. Let v = k + -144. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -523647 + 179389697.\nAnswer: 178866050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2477751 (base 8) to base 15.\nAnswer: -d8d3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159454 and 5716818.\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 8*w + 3. Let z be i(-8). Suppose 10883 = -z*q + 34142. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2090070*i*q**2*w**2 - 3*i*q**2 - 80*i*q - 14*i*w**3 + 5*i + q**2*w - 2192*w wrt w?\nAnswer: -4180140*i*q**2 - 84*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/1442, -3, -1?\nAnswer: 1\/1442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 605894909 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4091142 = 61*a + 5*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -41.1. Put 0.1, l, 9 in descending order.\nAnswer: 9, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -206. Let p = w - 154.999682. What is p rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((840\/(-50))\/(-14))\/(-21*(-1)\/(-20))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 21*c - 29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/2 (c) 685\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 110. Let g(p) = -1 + p + j*p + p + 8. Suppose -4*k + 24 = -0. Let n(u) = 6*u + 6. What is k*n(o) - 5*g(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let m(v) = -v**2 - 5*v. Let g be m(-4). Let n be t(g). Suppose -2*b + 7 = -n. What is the highest common divisor of b and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -32*d**7\/21 + 20*d**4\/3 - d**3\/3 - 174*d + 1. What is the third derivative of u(n) wrt n?\nAnswer: -3840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 5*l + 9. Let z be j(-3). Solve -g + 15 = -5*x + 3*g, -2*x = g + z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 57, -0.04 in increasing order.\nAnswer: -0.04, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2299*x - 1128 = -2311*x. What is the remainder when 291 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 43, 52, 16, -3 in increasing order.\nAnswer: -5, -3, 4, 16, 43, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13401)\/(-2) - -1)*11\/(-264). Let a = -821\/3 - u. Let f = 5744 + -275737\/48. Calculate the common denominator of f and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1546 - 395. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1273679*s**3 - s**2 - 4730599 wrt s?\nAnswer: 3821037*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5}. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from rlsslonlll?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31\/4 - 85\/12. Let h = 1250 + -23748\/19. Which is the nearest to -1? (a) h (b) 1\/2 (c) f (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 754\/104 + 8\/(-2). Is 1\/2 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -9.\nAnswer: -12, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17579799 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2. Suppose -8*x - 4 = -4*f - 4*x, 4*f - x - 19 = 0. Let s(z) = -6 - 6*z**2 - f + 12. Determine s(t(v)).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14716 + 123812 = 78*r. What is the remainder when r is divided by 255?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.6 times -1.7\nAnswer: -48.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23699506 divided by -499.\nAnswer: -47494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2613 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96106, -96123, -96140, -96157?\nAnswer: -96174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211222210 - 12120?\nAnswer: 211210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -2*g - 6*r + 19827, -4*g = 3*r - 39693. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -67126775.5 and -2.95484?\nAnswer: 67126772.54516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/12 - 1\/6. Let m = 20639\/21 + -983. Let f = m - 2\/21. Which is the smallest value? (a) j (b) f (c) 0.1 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ae5 (base 15) to base 8.\nAnswer: 21777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 1 + 1)*(-12*j**2 + 6*j**2 - 3*j**2 + j**2 + 0*j + 0*j + 3*j**2 + 0*j**2 - 5*j**2 + j**2 - 3*j**2 + j**2 + (-2*j - 3*j + 4*j)*(3*j - j + 0*j)).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*l + 409 + 230 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 5\/3, 0.1, -299\/40, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 59*p + 90. Let t be x(28). Suppose 47 = -t*h + 65. Let 6*v**2 - 2*v + 0 - 5\/2*v**h = 0. What is v?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92259 and 20502?\nAnswer: 184518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 3:53 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730654.18 rounded to the nearest ten thousand?\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*w = -1726547, 5*m + 52*w = 53*w + 1726529. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/105*(-10)\/(-8)*(-1752)\/(-730)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-468)\/(-1248)*-1*4*-2. Let j be 0\/(-2*(-3 + 2)). Solve -h*v - 2*y + 17 = j, y - 6*y = 2*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -436, -350, -264?\n\"Answer: 86*o - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 2*z + 15, c - 2*z - 10 = 0. Solve -4*g - 30 + 10 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27968 - 18771. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9082 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, -1, -0.3 in decreasing order.\nAnswer: -0.3, -1, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b. Let c(j) be the first derivative of 25*j**3\/3 - 4*j - 889. What is c(g(l))?\nAnswer: 225*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.156 + -0.156. Let g = o + -2. What is the nearest to 0.01 in -3, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p. Let n(t) = -t**2 - 1745*t - 743044. Let z(m) = n(m) - 7*u(m). Factor z(r).\nAnswer: -(r + 862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 8*z - 1 + 12*z)*(0*z**4 - 2*z**4 + 0*z**4).\nAnswer: -2*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000150907 to seven decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkxkxx. Give prob of sequence xxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, b: 1}. Give prob of sequence zb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2 + 3*s - 9. What is k(-3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.099?\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(21) - sqrt(189) - sqrt(21))\/sqrt(3).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -21\/2*m**2 + 0*m + 1\/2*m**3 + 1\/24*m**4 - 16. Let z(r) be the second derivative of o(r). Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l*l\/(l**(2\/5)\/l*l*l))\/l)**(1\/32))**(2\/55))**(-1\/16) assuming l is positive.\nAnswer: l**(-1\/8800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.51, -3, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3 - 2*v**5 - 479 + 9*v**5 - 1280*v + 3*v**4 + 235 + 238 - 35*v**4 wrt v.\nAnswer: 140*v**3 - 384*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217218, 434093, 650968, 867843, 1084718, 1301593?\nAnswer: 1518468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/240 + f**4\/48 - f**3\/24 - f**2\/2 + 5*f. Let r(w) be the first derivative of o(w). Factor r(d).\nAnswer: -(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412619 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 2. Let i = 222 + -223. Put i, 4, -4, o in descending order.\nAnswer: 4, o, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 2:06 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24316.03 - -24165. Round a to 0 dps.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934698 to the power of 1\/2, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 986, 3816, 8528, 15122, 23598?\n\"Answer: 941*d**2 + 7*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100001122122021 - 12?\nAnswer: 100001122122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 1, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 9*a - 2 + 12*a)*(0*a - 2*a + a) + 3*a**2 + 2*a**2 - 4*a**2 - a**2 + a**2 - a**2 + (3*a - 2*a + a)*(0 + 2*a + 0) + 0*a**2 + a**2 + 0*a**2.\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*s - 174*s + 522*s - 172*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-165)*(-7)\/(-7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 493976.\nAnswer: 21240968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1303221?\nAnswer: 1303220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04628064 to five decimal places.\nAnswer: 0.04628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/120 - 5*q**4\/24 + 25*q**3\/12 - 2*q**2 + 143*q. Factor i(h).\nAnswer: (h - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 3*v**2 - 3*v - 4. Suppose 4*b - 191 = -3*j, 0 = 4*b + 2*j - 175 - 11. Suppose -45*m = -b*m + 4. Determine k(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 289? (a) 0.3 (b) 88 (c) -4.4 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4595910 divided by -2199?\nAnswer: -2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 1. Let o(d) = f*d + 2 - 5 - d**2 - 21*d. Calculate o(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402 divided by -10948.\nAnswer: 201\/5474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/630*4\/(-10)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6521183 is divided by 124.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 5, 1, -2587, -23 in increasing order.\nAnswer: -2587, -23, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -43*y**3 + 3*y - 2. What is w(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -21\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 163. Let f(b) be the first derivative of -17*b**2 - 5*b - 1. List the prime factors of f(a).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 242. Let t(w) = -4*w**2. Give z(t(a)).\nAnswer: 28*a**2 + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44583 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111101000000110101111 (base 2) to base 16\nAnswer: -1e81af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 342217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 + 2291354*d**3 - 2291344*d**2 - 9165416*d + 9165408 = 0?\nAnswer: -2, 1, 2, 1145676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 4*q + q + (0 + 1 - 3)*(0 + q + 0) - 29*q + 50*q + 252*q as z + y*q and give y.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1) + -2 + 0 + 1. Suppose u = 4*m + 9, 2*u + c*u = 4*m. Suppose 0 = 6*k - 4*k. Sort k, 1, m in descending order.\nAnswer: 1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 190*l**2. Let f(g) = g**2 - 35*g + 1. Let h(s) = -12*s**2 - 175*s + 5. Let k(j) = 5*f(j) - h(j). Give t(k(x)).\nAnswer: 54910*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(2 - 3 + 0) + 475 - 21 - 19 + (-2 + 1 - 1)*(3 - 3 - 2))*(2*l**2 + l**2 - l**2).\nAnswer: 876*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 386237339 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1668 + 3840 - 461 + 3336)*(3 - 2 + 0)*(-u - u - u) to o*u + l and give o.\nAnswer: -25149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 6*l + 2 + 6*l. Calculate t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j. Let l(c) = -2*c**2 - 5*c - 2. Suppose b - 5 = -8. Let i be l(b). Is w(i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -50*s**2 + 2*s + 1. Suppose -4*t + 3*u + 20 = 0, -3*u = 5*t - 2*t + 6. Let w be k(t). Let l = 311 + w. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8 = 2*v. Let b be 4\/v - (-3 - 0). Suppose 54 = -b*u - 2*k + 142, -3*k = -12. Solve -u = x + 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -253*d**2. Let u(o) = -o. Calculate m(u(h)).\nAnswer: -253*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6 - 1 = s, 0 = -4*s + 5*w + 20. Let z = 16.3 + -16.72. Let i = -0.92 - z. What is the nearest to 0.1 in s, -3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 5*h**2 + 14*h**2 - 6*h**2 + h**2 - h**2 - 2*h**2 + (2*h + h - 5*h)*(-h + 1 - 1) - h**2 + 0 + 0.\nAnswer: 2*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 = -4. Which is bigger: 2\/13 or u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 11*s**2 - s - 11. Let z be f(-11). Solve -3*w = -z*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 471370 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s + 5*s = 1566 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:39 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:52 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) - 23\/3. Let b(d) = 3*d**2 + 7*d + 6. Let k(a) = -4*a**2 - 8*a - 7. Let o(p) = 3*b(p) + 2*k(p). Is 15 a factor of o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -410726136469 and -0.2?\nAnswer: 410726136468.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2. Let a(b) = 2*b - 7. Let g be a(6). Suppose 29 = g*v + 9. Let f(i) = -5*i + 3*i + v*i. Give f(p(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 544, -4, -166\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -22*j - 29 + 41 + 449 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35680967 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a - 28. Round a to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*z**2 - 4 + 4 - 313*z**2.\nAnswer: -579*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6183338 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 92. Let f be s(-11). Put -20, -2, 0, f in descending order.\nAnswer: 0, -2, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.7, 0.3 in decreasing order.\nAnswer: 0.3, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 17*u - 48 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 33 + (-179 + 158 - (1 + -6))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8*k + 12. Let j be k\/10 + 19199988\/60. Suppose -j = -4*y + 9*y. Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - 5\/(-15)*-3. Does 9 divide i\/((-5)\/(-150)*9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.45 - -2.85. What is the nearest to 4 in s, 0.2, -0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-8)\/3) - (7\/7 + -3)) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.6 + 1.1. Let u = w - -3. What is the smallest value in -1, -0.5, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 - 390\/(-9) - 5\/(-3) is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2464)\/495)\/(-28)*((-2)\/24)\/(-1)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 65. Suppose y = 2*q + q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c. Let g(q) = -2570*q**2 - 5. Calculate p(g(o)).\nAnswer: -17990*o**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29520233359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 181*s + 630181 - 643032 for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d + 10*d + 6*d**3 + 3*d**2 - 1880*d**4 - 3*d**2 + 1890*d**4 as n*d + i*d**2 + p + y*d**4 + t*d**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*h**3 + 93*h**3 - 77 + 85*h**3 - h**2 - 55 + 135 to the form g*h**2 + p + x*h**3 + a*h and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 183*s**3 - 3*s**2 + 3*s + 1. Let d be b(1). Let x = d + -169. Solve 6*j = -x - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(55 + -58).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 - -196.81. Let c = t - 197.2. Is 20\/9 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from eeeheehheee.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -21, -0.4, 3, 12\/13, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, 3, -27 in increasing order.\nAnswer: -27, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 56?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5 - -4.4. Let s = -109 + 213\/2. What is the nearest to m in 5, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 26. Suppose o*z = -2*h + 29, -5*z - 91 = -6*h + 2*h. What is the smallest common multiple of 5 and h?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/4 + 13871*y**4\/4 + 27711*y**3\/2 - 319039*y**2\/2 - 2718079*y\/4 - 2038449\/4 = 0. Calculate y.\nAnswer: -13867, -7, -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unccuncncnc. Give prob of sequence ucuc.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j - 10 = -45*j. Solve 0 = -i - j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202175\/9 - 22459. Let f*g - 16\/9 - 14\/9*g**3 + 46\/9*g**2 = 0. What is g?\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*h**3 + 18*h**3 + 205*h**3 + 25*h**3 + 21*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u. Suppose -1 = 5*n + 14. Let y be 2\/(0\/n - -1). Let g(v) = 2 - 2 + 3*v**y + 0*v**2. What is w(g(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 13) in base 4?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48\/5 of a millisecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065771779 to 4 dps.\nAnswer: 0.0658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 159944 divided by -39986?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2116096 and 105\/12365936.\nAnswer: 395709952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2072381134 to the nearest integer?\nAnswer: 45523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 5, -223, 1.\nAnswer: -223, -7, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**4 - 3*p**3 + 9*p**2\/2 - 9*p + 1. Let j(u) = -2 - 2*u**2 + 12*u**3 - 25*u**3 + 14*u**3 + 2*u. Determine 9*j(f) - 2*o(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 464069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837 is divided by 133?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*-0.07.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 48 = -4*t. Let w = t + -5. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 10. Let s(c) = -c**2 - 5*c + 10. Give s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-7) + (-307579161)\/46*2\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177778698?\nAnswer: 2, 3, 2971, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - a**2 - a + 2. Let f(b) = 6*b**3 - 12*b**2 - 6*b + 20. Let r(g) = f(g) - 8*m(g). Factor r(p).\nAnswer: -2*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 3*j - 2*j + (-4 + 2*j + 4)*(-2 - 2 + 5) + (-9 - 10 - 20)*(j - 6*j + 3*j) - 3*j - j + 2*j in the form v + i*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456 divided by 48?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -74437777 greater than -74437774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80285128 and 186190?\nAnswer: 401425640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/4 - 10*u**3\/3 - 17*u**2\/2 - 700*u. Give g(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 14*g - 30. Calculate u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 - 176. Solve -153*h + 160*h = f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 3*y**2 + 18*y + 1. Let v be h(-6). What is the second biggest value in 0.7, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 0*y**3 + y**3 + (0*y + y**2 + 0*y)*(-y - 2*y + 2*y) - 4*y**3 + 2*y**3 + y**3 + 8 - 8 + 175*y**3.\nAnswer: 170*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4\/5 - 3552*b**3\/5 - 841523*b**2\/5 - 9308238*b + 39971240 = 0.\nAnswer: -115, 4, 3778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6052995601*q**5\/10 + 1131909554979*q**4\/10 + 10695619948911*q**3\/2 + 52346859981361*q**2\/10 - 2691532716*q\/5 + 69192\/5 = 0.\nAnswer: -93, -1, 4\/77801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1454*u - 441*u + 5031*u as r*u + c and give r.\nAnswer: 3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 m when four letters picked without replacement from {l: 5, m: 5, a: 6, x: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (3 - (-1 + -9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2089)\/(-139963)*(-469)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {l: 7, w: 3, a: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 30. Solve -2*a = -7*a - 2*b + 2, 5*a + 4*b - 4 = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01154*-3\nAnswer: 0.03462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 4*h**2 - 3*h**2 + (-3 + 3 + h)*(-3*h - h + 8*h) - 2*h**2 - 2*h**2 + 2*h**2 in the form z + w*h + m*h**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/48 and 53\/5624?\nAnswer: 33744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let f(h) = -43*h + 84*h - 31*h + 10*h**2. Let a(s) = 2*s**2 + 2*s. Calculate x*f(r) - 14*a(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(-4*j + 2*j + j) + j - 3 + 3)*(17*j**4 - 65*j**4 + 28*j**4).\nAnswer: -60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b + 2. Let m be (6\/(-4))\/(15\/20). Let x be o(m). List the prime factors of 5*(x\/(-10) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9003 is divided by 8732.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**8\/6720 + g**7\/252 - g**6\/90 - 11*g**5\/120 + 5*g**4\/12 + 11*g. Let k(m) be the third derivative of c(m). Give k(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -15. Let v be 1\/(-1 + q\/(-4)). What is the second derivative of -5*s**2 - 7*s**2 - s + 11*s**2 - 9*s**v wrt s?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5335 or 5334?\nAnswer: 5335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612942 + 165706 + 362567 - 259469 = 10753*q for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9613733\/10465770 + -2\/121695. What is the common denominator of v and 7\/28*63\/5?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*h + 6*h + 55. Suppose h*s - 105 = -3*g, -6*s + 11*s = -5*g + 175. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5721)\/18 + -16)\/(3\/(-18)).\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032121 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -340.0657 to one dp.\nAnswer: -340.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -96440 to the nearest 1000.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -32.99926. Round y to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16734555049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10.5. Let t = 0.5 + n. Let b = -65\/42 - -12\/7. What is the closest to 0.3 in 0.1, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d + 857. Let n be v(0). Let p = -854 + n. Factor -72\/5*k - 36\/5*k**p + 78\/5*k**2 + 24\/5 + 6\/5*k**4.\nAnswer: 6*(k - 2)**2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632068.\nAnswer: 2, 158017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116 - 19888?\nAnswer: -19887.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -635 + 1235. Suppose 4*u = -2*u + g. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 + 264.0792. Let c = 0.0791446 - o. What is c rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/(-18)*(165\/10)\/11. Sort t, 6, -1 in decreasing order.\nAnswer: 6, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5772229*j**3 + 9907*j - 146?\nAnswer: 34633374*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1582 (base 9) to base 12.\nAnswer: -848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-16)*-2 + 9430\/21648?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + -11 + (-188)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -33\/2. Let b = -36.44 + 36.04. What is the nearest to c in -1\/11, b, -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (1 - 1)) + -16 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) - 24\/(-4). Suppose -2*m - 6 = -3*i + t, -i + m + 6 = 0. Let f = 3 - i. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8441 is divided by 483.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-18)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 35191?\nAnswer: -5\/35191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -100704\nAnswer: 40281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10844504 and -25\/16.\nAnswer: 21689008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138 or -273\/2?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 8*s**2 + 60*s - 370. Let f be n(7). Which is the third smallest value? (a) 1\/1001 (b) 3 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a**(-10\/3)\/a)\/a)))\/a)\/a*a**10 assuming a is positive.\nAnswer: a**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -38045*g**4\/12 - 8*g + 176. Let j(y) = -y**2. Give t(j(a)).\nAnswer: -38045*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 1\/168*o**7 + 61*o + 1\/120*o**6 - 1\/48*o**4 + 0*o**3 + 0 - 1\/80*o**5 + 0*o**2. Factor m(f).\nAnswer: f**2*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1533*r**6 + 5*r**4 - 5*r**3 + 61382*r**2 - 3*r wrt r?\nAnswer: -183960*r**3 + 120*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 60 = 4*z. Suppose -j - z = -2*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1451.91 micrometers to nanometers.\nAnswer: 1451910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. What is the second smallest value in -0.2, i, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*s - 6 = 0, -2*y - s - 6 = -0. Let o be 1 - y - 57002\/1. Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by -92.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7.6, 0, -85 in decreasing order.\nAnswer: 7.6, 0, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -179, -397, -751, -1235, -1843?\n\"Answer: h**3 - 74*h**2 - 3*h - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*v**3 - 251309*v**2 - 38769919*v wrt v.\nAnswer: 114*v - 502618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 76. Suppose -217 = s*k - 39*k. Solve k*n = -24 - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qooq when four letters picked without replacement from qqqoooqoqqqoo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15651588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 + 3*d - 3. Let z be i(-3). Suppose -4*k - 17 = z. Let q = k - -9. Solve 0 = 2*x + 7 + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -1)*-5 + 1)**2 - ((sqrt(204) + -4*sqrt(204) - sqrt(204))\/sqrt(12) + 4 + sqrt(102)\/sqrt(6) + sqrt(17))**2.\nAnswer: -284*sqrt(17) + 10577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.93*-0.4\nAnswer: 1.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(91) + sqrt(91)*-1 - sqrt(91)) - sqrt(91)) + sqrt(91))\/sqrt(7))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 81.190727*0.2\nAnswer: 16.2381454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(475) + 3.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24 times 0.06?\nAnswer: 0.0744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 68 = -0*p. Let t(k) = -k**3 - 5*k**2 - 4*k + 6. Let l be t(p). Solve -2 + l = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 36*x**2 - 183*x + 6623. Give m(36).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/12 + 5\/3. Let l = 19.4 - 21. Let t = 0.4 - l. Sort t, w, -3 in increasing order.\nAnswer: -3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1944\/425 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t - 35*t - 18*t + 24 - 12*t + 8*t. Does 52 divide y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10489*h**4 + 40*h**3 - 661*h**2 + 6083 wrt h?\nAnswer: 251736*h + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3743 + -3755. Sort z, -5, 2\/7 in descending order.\nAnswer: 2\/7, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 5*(-12)\/(-100)*45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 2405310?\nAnswer: -2405308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*r - 227, 5*r - 3*s - 150 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -522 + 892. Let k = -365 + j. Which is the third smallest value? (a) -1\/5 (b) k (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/10*(-10)\/4. Let o(b) = -2*b. Let n be o(-9). Suppose -h - n = -17. What is the closest to 1 in h, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1009.00000713 - 1009. What is y rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 2. Suppose 5*y + 2*x - 4*x = 54, -5*y + 4*x + 58 = 0. Let n = y + -4. Suppose -n*j + j = -2*d, 4*j + 3*d = 23. Give p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Calculate the smallest common multiple of 4 and a(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702983 is divided by 162?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 i when three letters picked without replacement from {o: 4, i: 3, h: 1, w: 1, n: 5}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 738830 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7)*-2) + sqrt(5) - (5 + (sqrt(35)\/sqrt(7))**2).\nAnswer: -10 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65107936.\nAnswer: 2, 31, 65633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 + 118*j - 244*j + 124*j + (-4 + 0 + 3)*(2*j + 3*j - 6*j).\nAnswer: -j + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 1. Let m(y) = -y**2 - 6*y + 3. Let j = 17 - 20. Let o(x) = j*m(x) + 6*h(x). Factor o(b).\nAnswer: 3*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwpqbb. What is prob of picking 1 q, 1 w, 1 p, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1\/11, -111?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 2 - 7005\/(-15). Suppose 8*b - x = -0*b. What is the highest common divisor of b and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2632 and 3760?\nAnswer: 26320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17075*t + 4644408. Determine w(-272).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8452 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/48 - (-6346184)\/1248 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvqj when four letters picked without replacement from {q: 4, c: 1, j: 2, v: 7}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*i + 1458 = 500, 913 = 3*z + 4*i. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/60 + n**4\/24 - n**3\/6 + 2*n**2. Determine v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 6761\/40. Let m(s) = -s**2 - 79*s - 1008. Let l be m(-63). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 2 (c) 0.2 (d) -0.1 (e) -4471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c - x = -59, -64 = -3*c - 2*x. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1221976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 3. Let j be h(0). Let k(g) = 2*g - 3. Let s be k(j). Let o be (-2)\/(-4) - (-5)\/(-6). Are o and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(300) + 0 - sqrt(300))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33156 + 103693. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.556 + -49.194. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3748*z - 1248*z - 1251*z - 1252*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 470*q**2 - 5*q - 5. Let x(n) = 26555*n**2 - 282*n - 282. Let h(g) = -282*c(g) + 5*x(g). Let a(f) = -2*f**2. Determine h(a(l)).\nAnswer: 940*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 904886\/6320*126\/(-32025). Let p = -1\/30500 - u. What is the common denominator of p and -107\/10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.092 and 337618.\nAnswer: 337623.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790930 is divided by 403.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose -n = s - 2*s. Let f(d) = 2 + s*d - 3*d - 1. Give f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150\/97 at most 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5614.96 to the nearest integer.\nAnswer: -5615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - -3) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24180168 to the power of 1\/2, to the nearest integer?\nAnswer: 4917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 189\/(-126) + (-63)\/(-2). What is the greatest common divisor of 270 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) 204054 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 6. Suppose -5 = -c*d + 4*j - 3*j, 2*d - 4*j = -4. Solve -f - 3*y + 9 = 0, f - 2*y = d - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2726020, 2726000, 2725978, 2725954, 2725928, 2725900?\nAnswer: 2725870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 + 5*s + 6. Let d be p(6). Let f(b) = -b**3 + 33. Let o = 212 - 203. Calculate the remainder when f(d) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h**3 + 22*h**2 - 7*h + 13. Let g(y) = 5*y**3 + 11*y**2 - 3*y + 7. Calculate -2*d(t) + 5*g(t).\nAnswer: t**3 + 11*t**2 - t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose -h + 2*h + 8 = z*t, -2*h + 4 = 2*t. Let p = -736 - -727. Put 3, h, p in increasing order.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145725*u - 145661*u - 2624 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:41 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) + 444\/84. Suppose -x*t + 137 = -178. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q\/q**(-7))\/((q*q**(5\/2))\/(q**0*q)))**(-1\/9) assuming q is positive.\nAnswer: q**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 3 - 3 + (-3*z**4 + 4*z**4 + z**4)*(-z + z - z) - 3*z**5 + 2*z**5 - z**5 + (-2*z**4 + 0*z**4 - z**4)*(-2 - z + 2).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000357206424 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-48)\/96)\/(1\/(-29)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -3 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1260 and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*y = -20, 7*c - 2*y = 2*c + 5. Let x = 0.534 + 0.046. Let u = x + -0.6. Is c at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 15. Let t be p(13). Suppose -2*q + 5*o = 10, 0 = -2*q + o - t + 8. Suppose -58 - 17 = -q*j. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4276720 (base 9) to base 11.\nAnswer: 1328095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38360.3 from 19.\nAnswer: 38379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46920 divided by -204.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 4*z - 26*z + 621. What is the closest to 0 in z, 3, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4\/5554397 in increasing order.\nAnswer: -1, 0, 4\/5554397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (13266\/(-132))\/201*5*22?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 991.047 millilitres?\nAnswer: 0.991047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w. Let q be (-6)\/8 - (-11)\/4. Let g be ((-2259)\/(-753))\/((-2 + -1 - -5)\/2). Sort w, g, 5, q in increasing order.\nAnswer: w, q, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeseees. What is prob of sequence aa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55781463.\nAnswer: 3, 23, 35149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtwsktkkwkkksssvwtk. What is prob of sequence vst?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1380 divided by 3.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33826, 67686, 101544, 135400, 169254, 203106, 236956?\n\"Answer: -j**2 + 33863*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 10)*(-4*n + 3*n + 2*n + (n + 0*n - 3*n)*(-1 - 1 + 1) - n + 2*n + n + 0*n - 2*n + 3*n)*(-13*n**3 + 41 - 41).\nAnswer: -156*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -63. Let m = 58 + c. Sort 2\/5, -3, 1\/2, m in decreasing order.\nAnswer: m, 1\/2, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -643, 5 in ascending order.\nAnswer: -643, -67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 993861 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 7*m - 33, -3*m = -16*p + 11*p - 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -0.4, -1\/2, -4\/5, -259.7 in decreasing order.\nAnswer: -0.4, -1\/2, -4\/5, -6\/7, -259.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*s + 9, 0 = 7*y - 4*y - s + 29. Let p be (-1 - -1)*(y + 9). Solve -5*a = -p*a - h, 2*a = -3*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26481192 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -242458.\nAnswer: 1\/242458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/30 - (-4)\/12.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1772 - 1213. Suppose 0 = 13*g - k - 273. What is the least common multiple of g and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1082249349 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-20)*-5)\/((-4)\/4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 19 + 53. Let o = 29 - g. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 - 23*w**5 + 44 - 2*w**5 + 2*w**5 - 2*w**5 + 2*w**2 - 2*w**2 + 2*w**5 + (-w - w + 0*w)*(-1 + 1 + 2*w**4) + 3*w**5 - w**5 + 3*w**5.\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40336 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7318440.\nAnswer: 2, 3, 5, 29, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18*t + 6. Let o(j) = -70*j - 7. Let p(q) = 117*q + 12. Let y(u) = 5*o(u) + 3*p(u). What is h(g) - 6*y(g)?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + o - 6 = 0, -o - 4*o = 3*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 - 1)*(-4 + 3*z + 4) - 5 + 2*z + 5)*(2 - 4*z - 2) as q*z**2 + m + b*z and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 2*r + 5*r**3 - r**3 - 3*r**3 + 4. What is n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 12*x. Let p(i) = i**2 - i. Calculate c(y) - 12*p(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*v + 2*b + 3, v + 2 = -3*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i - 0. Let q(l) = -3*l**3 + l**2 - 1. Let s be q(i). Suppose -7 - s = -2*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35664 - -782541.\nAnswer: 818205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15871*z - 85 = -5*n + 15872*z, 2*n - 5*z = 57 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3 - 4 + 1 + 1 + (-2 + 0 + 1)*(-4 + 1 + 4) - 1 - 2 + 1 + 1 - 3 + 4)*(f - f - 3*f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(22))\/sqrt(11).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let t be l(-3). Let a(v) = -33*v - 1 + 5 + 16*v + 2*v. What are the prime factors of a(t)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 13. What is the least common multiple of (-2)\/8 + (-27)\/(-12) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 53. Let a(d) = 5*d**2 - 1617. What is u(a(y))?\nAnswer: -10*y**2 + 3181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 2416.6846\nAnswer: 725.00538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -16*h + 144. Let x = 48 - h. Suppose x = 23*n - 19*n - 224. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**2 - 6*k**2 + 6*k**2 - 3*k**2 - k**2. Let p(l) = l. What is p(t(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4807 - -5021. Calculate the remainder when m is divided by (-4 - -1)\/(3\/(-107)) + 2.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 + 433610*u**4 - 9400014345*u**3 - 37605260860*u**2 - 37606995380*u.\nAnswer: -5*u*(u - 43363)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40769 != 40714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 2113?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 0*r - 2*r)*(-4*r - r + 6*r)*(4*r + r + 0*r) to the form p*r + g + f*r**3 + h*r**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - -7. Suppose 5*u - l = 5*r, u + 3*r - 10 = -4*u. Suppose -2 = -u*s + 23. Calculate the smallest common multiple of s and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*k - 88*k + 4*d = 15, -3*k + 7 = 2*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/2 - (-26 - 113\/((-72885)\/9630))?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*o + 1030, 3*o + 541 + 489 = 5*k. Calculate the remainder when k is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8436 and -4?\nAnswer: 33744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87244 and 22?\nAnswer: 959684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1. Let h(g) = g - 5. Let j(v) = 5*f(v) - h(v). Let y(d) = 208*d. What is j(y(m))?\nAnswer: -208*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 28*v**2 - 880*v - 18. Let d be l(31). Which is smaller: -382 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-3 + 3 + 5)*(1 + 5 - 4)*(-5*r + r + r) - 6 + 6 + 4*r to the form m + g*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5176367 - 22?\nAnswer: 5176345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -3. Let q be m\/64 + (-2)\/(-16). Let a = 0.009 - -6.991. What is the biggest value in a, q, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1168629522*i + 722526387 wrt i.\nAnswer: 1168629522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2 - 8*j + 7. Let n be u(-5). Let i be -10*(6 - n\/4). Let l(q) = 3*q + 2*q - 4*q + 7. Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 3*u + 5, 3 = -3*g + 2*g + 2*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2)\/(l*l\/(l\/l**(1\/8))*l*l))\/(((l\/((l*l\/l**(-7))\/l)*l)\/l)\/(l*l**2)))**(-33) assuming l is positive.\nAnswer: l**(-2211\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1535 + 118 - 1663 = -77*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(9*z**4 - 22*z**4 + 52*z**4).\nAnswer: 117*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 53\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38608 and 1216152.\nAnswer: 2432304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (16 - (8 + 1 - -4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 63*x**3 + 7*x + 4. Let a(f) = -128*f**3 - 14*f - 9. Give -4*a(u) - 9*o(u).\nAnswer: -55*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 148040213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2943 = 8*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:05 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8149 + 8142. Let i(q) = 7*q + 47. What is i(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 260 - 161 = -11*v, 30*v + 21*v - z - 111 = 48*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -170346 (base 9) in base 10?\nAnswer: -105261","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 51576 - 51180 = -3*p - 0*p, 92 = p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2) + 5*(sqrt(45))**2 + (sqrt(80))**2 + 1 + 0.\nAnswer: 3*sqrt(5) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187\/38 + 597\/19. Put 0, p, -3\/2 in descending order.\nAnswer: p, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169b3b (base 15) to base 3.\nAnswer: -2001200110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/8*t**2 + 5\/8*t**3 + 1\/2 - t.\nAnswer: (t - 2)*(t + 1)*(5*t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57815850 less than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/33)\/(4\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*c**3 - c - c - 13*c**3 wrt c?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 9 = 5*i. What is the units digit of (930\/12 - -6) + i\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 547 + 1467. What is the remainder when 643 is divided by w?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 49\/14 + -2 - (-2)\/(-4). Let i(t) = 469*t**2 + 2*t - 2. List the prime factors of i(m).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134\/15 or 9?\nAnswer: 134\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in 112\/13, 1\/6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(176))**2 + (sqrt(11) + sqrt(11) + 1)*2.\nAnswer: 4*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 295523*t + 7092551. What is w(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30*-69716.5\nAnswer: -2091495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 0, 0 = -5*j + 2*y - 4*y + 33. Let f be 1\/(((-7)\/(-120))\/j). Is 6\/(-2) - f*(-40)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.36358 + -52.63942. Let i = -0.003 - y. Let n = 55 - i. What is the second smallest value in -0.3, n, 2\/13, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942 divided by 3.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.028, 5, -2\/24717?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-21) + (-24)\/(-16))*80\/100. What is the nearest to -1 in z, -2\/15, 0, 0.15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9 - (-28)\/6. Let w = 10 - a. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/8)\/(l\/(l*l**(-18)))*(l**6)**(-2\/129) assuming l is positive.\nAnswer: l**(-6353\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1, -3, 27.\nAnswer: -3, -1, 27, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -7*h + 3*h. Let l = -11 + h. Suppose l = -2*a - 14. Put 3, a, 2 in ascending order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1251931\/9 + -139440. Let x = -337 - o. Is 2 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1113906186?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16025\/9615*1\/(-30)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.6. Suppose s - 5*i + 0*i + 15 = 0, 15 = 5*i. Which is the biggest value? (a) s (b) n (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 17*f**2 - 1478*f - 18459. Calculate y(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + k**4 - 3*k**4)*(-k + 2 - 2) - 34*k**5 + 0*k**5 - 8*k**5 + (-2*k**2 + 3*k**2 - 3*k**2)*(k**3 + 3*k**2 - 3*k**2).\nAnswer: -42*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*t - 0*t - 9, -2*g = -2*t - 2. Solve -2*d + g*d - z = 5, d - 3*z = 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(110) - (sqrt(110) - -1*sqrt(110)))\/sqrt(10) + -5 + (sqrt(275) - (sqrt(275) + 0)) + (-5 + 3 + sqrt(891) + (sqrt(891)*1 + sqrt(891))*-3)**2.\nAnswer: 186*sqrt(11) + 22274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21*v = -95. Let i(g) be the third derivative of g**2 + 0*g + 0*g**3 - 1\/840*g**7 - 1\/48*g**v + 0 - 1\/120*g**6 - 1\/48*g**4. Factor i(p).\nAnswer: -p*(p + 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(96) + -1 + -4*sqrt(11))**2 - 6*(sqrt(66) - (sqrt(66) + -1*-1*sqrt(66) - sqrt(66) - sqrt(66)))\/sqrt(6).\nAnswer: 3*sqrt(11)\/2 + 2491\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/21*(216\/320)\/(-3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1800330 divided by 13\nAnswer: 1800330\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2f8 (base 16) to base 7\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 731 - 578. Suppose -2*h + 59*x - 55*x = -38, 5*h - 155 = -5*x. Calculate the greatest common divisor of q and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 16787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g + 8*g**2 + 5*g - 23*g - 21*g**2 + 3*g. Let x(l) = -19*l**2. Determine d(x(v)).\nAnswer: -4693*v**4 + 57*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -0.5\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 12*w**2 - 12*w + 16. Let m be p(-13). Suppose 2*i - 6 = -m*z + 4*i, 4*z - 8 = -i. Solve a = -4*d + 16, -5*d + 14 = -z*a - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*h**6 + 3*h**5*x - h**4 + 38*h**2*x + 2*h wrt h.\nAnswer: 14520*h**3 + 180*h**2*x - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*y + 30, -66*y - 3*l + 14 = -67*y. Solve -29 + 5 = y*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12619*v + 12616*v + 24 = 0, 0 = -2*x + 5*v + 37 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 23165.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + 2.8. Let q = 12751 - 12752. Sort 2, 0.2, c, q in decreasing order.\nAnswer: 2, c, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349\/(-207) - ((-4734)\/(-162) - 29) - -7?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -3\/8, -0.1, 3 in decreasing order.\nAnswer: 3, -0.1, -3\/8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28047883*a**3 - 28101195*a**2 wrt a?\nAnswer: 168287298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6, 2*x + m = -0*m - 15. Let n be 21\/6*10*1. Suppose h + 4*h = -n. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l*n*o - 143*l*o + 3*l - 21735*n*o + 6*o + 10 wrt n.\nAnswer: -4*l*o - 21735*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 - 13) + 0 + 0. Suppose 39 + 75 = m*y. What is the highest common divisor of y and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Let i = 1 + h. Suppose 3*c + 20 = 5*s, 0 = -2*c - 2*c - 2*s + 8. Solve 6 = 5*x - 4, 3*b + 4*x - i = c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23482151, 23482160, 23482173, 23482190, 23482211?\n\"Answer: 2*t**2 + 3*t + 23482146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtq when three letters picked without replacement from {t: 6, h: 1, z: 1, m: 1, q: 1, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 = 2*y, 6*y - 3*y - 24 = 3*i. Solve -2*h + y = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j + 225. Let o be (-96)\/(-5)*j\/2. Suppose -2*d - 360 = -3*s - o, -s + 3*d = 600. Round s to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 4*l + 2*l)*(-4 - 2 + 3) - l + 7*l + 0*l - 6*l - 21 + 21 + l + l - l + (-3 + 5 + 0)*(l - 5*l + 3*l) as t + z*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2145*h**2 + 679*h**2 + 1418*h**2.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (54 + 0)*(10 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 536890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497?\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009166140347 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -143, -229, -315?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 2. Suppose 0 = 5*o - 0*o + 30. Let x be 0 - o\/3 - q. Solve x = 2*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l - 15. Give o(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 340\/255*24\/(-20)*(-990)\/(-48)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490 divided by 5?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -16, -9, -4, -1?\n\"Answer: -s**2 + 12*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 4 = 2*c + 5*y, -4*c + 2*y = 20. List the prime factors of -1 - -57 - (c - (-8 - -2)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 102100?\nAnswer: 102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:13 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1713.579\nAnswer: -1710.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*f**4 - 12*f**4 - 4*f**4 - 12*f**4 + 39*f**3 + f**2 + 1 as d*f**2 + w*f**3 + z + y*f + i*f**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 297 - 2*(-1 + -1). Suppose 5*k + l = 2*s, -3*s = -s - 4*k - 306. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (378\/(-315))\/(2 + 8\/(-5)). Sort p, -0.2, 1\/7, -1 in increasing order.\nAnswer: p, -1, -0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -2)**2 + -1 + (sqrt(325)*-1*3)**2.\nAnswer: -20*sqrt(13) + 3253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.3909ng to grams.\nAnswer: 0.0000004623909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13.72 times -18\nAnswer: -246.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 139.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341*-232.\nAnswer: -79112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 49*k + 72. Let g(j) = -j**3 + 12*j**2 - 5*j - 60. Let b be g(11). What is the tens digit of u(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r = -12. Which is the smallest value? (a) -5\/12 (b) r (c) 2\/3 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*n + 1783869 + 488587 = -1024104. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:23 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -56550 times -5.383\nAnswer: 304408.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49\/5 of a microsecond?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l**2 - 2*l - 3. Let g(a) = 2 + a**2 + 298*a + 7*a**2 - 296*a + 7*a**2. What is 3*g(i) + 2*o(i)?\nAnswer: 15*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -816 + 821. Solve -f = -m*i - 0*i + 8, 2*i = -f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726496 - -8.\nAnswer: -726488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -845374, -1690728, -2536082, -3381436, -4226790, -5072144?\n\"Answer: -845354*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -265, -530, -795, -1060, -1325, -1590?\n\"Answer: -265*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 154 = 5*y - 85 - 108, 0 = -4*l - 4*y + 60 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/9)*l*l**(2\/55)\/l assuming l is positive.\nAnswer: l**(128\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(57)\/sqrt(3) - sqrt(19)))*-3 - ((3 + sqrt(684) + (sqrt(684) + sqrt(684) + -1 - sqrt(684)))*2)**2.\nAnswer: -10987 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151, 303, 385, 361, 195, -149, -707, -1515?\n\"Answer: -6*h**3 + h**2 + 191*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 9*d**3 + 12*d - 36*d + 12*d**4 + 68*d**2 - 65*d**3 = 0?\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3 (c) -0.65 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656191 is divided by 6486?\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.6 and -1.55?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*j - 6, -12 = -3*h + 3*j + j. Suppose h*g + 8 = 4*g. Let u(c) = 3*c**2 - 2*c**g + 0*c**2 + c - c**3 + 0*c**3 - 5. What is u(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 157631 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26740 (base 10) to base 16.\nAnswer: -6874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:55 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:19 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-14 + 15 + (-4 - 3) - (-11 + 78)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 40*d - d**4 - 43*d - 2*d**3 - 2 - d**2 in the form m*d**3 + s*d**2 + j*d + c + w*d**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32195803.\nAnswer: 269, 119687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/(-1302)*(-20)\/315*-7.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 20*n = -40. Which is the smallest value? (a) -4 (b) -3\/5 (c) -2\/3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 4*t**2 - 3*t**2 + 5*t + 3*t**2 - 5*t + 4*t**2 - 3*t**2 - 3*t**2 + (-2 + 0 + 0)*(0*t**2 - 6*t**2 + 4*t**2))*(-10 - t**2 + 10 + t).\nAnswer: -3*t**4 + 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -448, 1, 87 in decreasing order.\nAnswer: 87, 1, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 1\/5 (c) 8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6 - i + 2*i**2 - 8*i + 4*i - 2*i. List the prime factors of j(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(((-3159)\/26)\/(-27))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33018355 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -841.8 - -842. What is the closest to 0 in -4\/3, v, -23\/4, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100110001010 - -101?\nAnswer: 100100110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 3 = 0. Suppose -t*m + 11 = 4*f, -29 = -2*m + 2*f - 3. Suppose -2*d - 7*a = -m*a - 62, -5*d = 5*a - 185. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1140 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = c + 2*c. Solve -3 = -w - c*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 + q + 9. Let c(u) = -6*u**2 + 11*u - 6. Let f(w) = -3*w - 1. Let j(p) = c(p) + 4*f(p). Let n(r) = -6*j(r) - 5*o(r). Give n(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 2, j: 1}. Give prob of picking 1 b and 2 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 115645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 24. Let f be (-10*(u + (-17)\/(-5)))\/(-1). Let c(y) = 3*y - 1. Let p(g) = 4*g. Let a(q) = f*p(q) - 5*c(q). Give a(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 27*y - 608. Let t(f) = 3 - 5*f - 3 + 3. Let q be t(-3). Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104*m + 102725 = 3600*m + 25349 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqv when three letters picked without replacement from avaaqavvq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 8*f. Suppose f = k - 5. Suppose k = -5*z - 10. Sort 1\/6, -1, z in decreasing order.\nAnswer: 1\/6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 143*p**2. Let d(v) = -3*v**2. Give d(k(x)).\nAnswer: -61347*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 2, 0.4, 5 in ascending order.\nAnswer: -98, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 - (2 - 68\/5). Suppose 14*j - 98 = f*j. What is the highest common divisor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1505285 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13706 + 8023. Let f = c - -2044. Let u = f - -5956. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/3506219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {u: 5, i: 12, x: 1}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3085 - -0.3085. What is the second smallest value in -4, -0.057, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2*k**2 + 0*k**2 + 1872*k**3 - 1853*k**3 - 11 - 12 in the form h + v*k**2 + d*k**3 + o*k and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 4, d: 3, u: 2}. What is prob of sequence uud?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3850, -175, 0, -4 in decreasing order.\nAnswer: 3850, 0, -4, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - -1 - -4) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4920, -456, -5, 0 in descending order.\nAnswer: 4, 0, -1, -5, -456, -4920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -132 + 86 - 50.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1941 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 6*t**2 + 3*t + 4. Let o be a(-3). Let x = -45 + o. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-30.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/36 - (-79)\/9. Let g(t) = t**2 - 4*t + 4. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.055, -2, 5?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-27 + 17 - -4 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87110?\nAnswer: 2, 5, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 119*o**2 + 124*o - 3. Let a be u(-1). Let s(h) = h**2 + 6*h - 20. Calculate s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:23 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2339239, -2339227, -2339207, -2339179, -2339143, -2339099, -2339047?\n\"Answer: 4*c**2 - 2339243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.412 - -0.258. What is the closest to 0 in -0.4, 2\/7, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/21171483 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:27 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 4, h: 10, y: 6}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:21 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 24. Let t(v) = -v**2 + 9*v - 8. Let p be t(8). Calculate the remainder when 46 is divided by k(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/328 + -3\/82. What is the fourth smallest value in 2, 2\/15, -1\/2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 - 27*r\/8 - 15\/8.\nAnswer: 3*(r - 5)*(2*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3778278.2 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11343949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 48. Let d be ((-45)\/(-4))\/(2\/8). Suppose -a = -3*u + d. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, g: 2, t: 2, v: 1}. What is prob of sequence gzj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.7 + 7. Let k = 1886062 + -1886060. Let q be 26\/(-40) - (-2)\/5. Put k, t, 0.2, q in ascending order.\nAnswer: q, 0.2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**3*q**2 - 25*j**3*q - 20*q**2 + 3 wrt j.\nAnswer: -15*j**2*q**2 - 75*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*p + 111*p - 1501*p**4 - 59*p - 117*p**4)*(-10*p + 11*p - 10 - 24).\nAnswer: -1618*p**5 + 55012*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 10:33 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 - 14 = -u, -4*u - 4*a = -76. Solve 26*n = -u - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27366 = -3733*k - 207813 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360993*c + 2 + 361275*c + 0)*(2*c**2 + 1 - 1).\nAnswer: 564*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 413881098 to the power of 1\/2, to the nearest integer?\nAnswer: 20344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 767*g + 7556. What is l(10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60345c (base 13) to base 2.\nAnswer: 1000100001101011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/2)*d**(-2)\/d**0*(d**(-2)*(d\/d**(-2))\/d)**26 assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 10315205?\nAnswer: -10315222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 2*u**2 - 2*u - 2. Let d = -41 + 39. Let m be f(d). Suppose 3*l + v = 2*l + 674, l = m*v + 665. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173806289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 7*h**2 - 19*h + 48*h - 29*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l - 142*l + 91*l - 3680*l**3 - 1402*l**3.\nAnswer: -5082*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -124, 25 in ascending order.\nAnswer: -124, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edn when three letters picked without replacement from lleelqkndkkkleq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 67 - 97 - 98 - 10*j**2 + 206 - 78.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1307 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + v)*(-v**4 - 2*v**3 + 2*v**3 + (-3*v**2 + v**3 + 3*v**2)*(4*v - 3*v - 2*v) - 12*v**4 + 21*v**4 - 19*v**4).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -4 + 2 + 1. Suppose 0 = -3*d - t*z - 6, 0*d + 4*d = 2*z - 8. Let q(k) = -15*k + 1. Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 2*i - 8, 0 = 2*i. Let z(o) = o**2 - 9*o + 17. What is the units digit of z(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1526*x + 28 + 13 - 44 as h + p*x and give p.\nAnswer: 1526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -98, -0.4, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a5 + -20?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4861074*-1\nAnswer: 4861074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:36 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 45*z**5 - 600*z**4 + 2360*z**3 - 2400*z**2 + 720*z = 0.\nAnswer: 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) 0.5 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*x = -4*x - 98, -q = -3*x - 31. Is q at least as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43325106, -86650210, -129975314, -173300418, -216625522, -259950626?\n\"Answer: -43325104*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/11 + 730*f**3\/11 + 32654*f**2\/11 + 258470*f\/11 + 226548\/11 = 0.\nAnswer: -31, -9, -1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrgy when four letters picked without replacement from {y: 11, g: 1, r: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 + 206. Let m = i + 149. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -86*v + 4. Let p(t) = -861*t + 42. Give -21*i(k) + 2*p(k).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3512 - 2152. What is the smallest common multiple of k and 48?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:06 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/195)\/((-82)\/205)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57702 is divided by 2060.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241241533 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1477839 by 134349.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 37*z**2 + 26*z + 44. Determine t(8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*c + 277*c - 3 = -2*k, 3*c = -3*k + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7171*q = 7149*q + 4147154. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 195*t - 194*t + 58*b, 5*b - 19 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 78768?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**4 + 5436*d**3 - 2463120*d**2 + 374488576*d - 1101444096 = 0?\nAnswer: 3, 412, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (220\/1650)\/((-1)\/(-36)). Factor u*b + 8\/5 + 18\/5*b**2.\nAnswer: 2*(3*b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**3 + 0*n**2 + 1\/65*n**5 - 1\/195*n**6 - 1\/78*n**4 + 0 - n. Find q, given that p(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10660 - 2371. Let z = y + -132543\/16. Find the common denominator of 21\/4 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 16. Suppose -w + 5*a = -0*w - z, 4*w - 3*a - 197 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*m + 2*r + 18, 1 = m - 2*r. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m - 4. Suppose -23*h = -80*h - 399. Let f(j) = -22*j + 9. Give h*r(y) - 3*f(y).\nAnswer: -11*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3 = 23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 416*g**2 + 815*g - 8. What is h(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 413*w**2 + 41723*w + 1012. Give u(-101).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-805)\/460*96\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*((sqrt(264) - (1*sqrt(264) - sqrt(264)))\/sqrt(11))\/sqrt(12) - ((-1 + sqrt(162) + sqrt(162) + 0)*-3 + 1))**2.\nAnswer: -440*sqrt(2) + 6066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfamddmmvmamvmvav. Give prob of sequence ammv.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12 - 152\/12)*-2484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/3, -7, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/10 + (-12)\/120 - -22. Let u(k) = -k**2 + 14*k + 127. What is the remainder when 189 is divided by u(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 384.3521ug?\nAnswer: 0.0003843521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 49 + 25*c - 31*c - 42. Let o(s) = -7*s + 8. What is -5*o(h) + 6*y(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 256, 271, 288?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 2684?\nAnswer: 75152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 15795 = 29*a. Let r be (-4)\/12*(-4 + -113). Calculate the greatest common divisor of a and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155673 (base 8) to base 6.\nAnswer: 1112231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -58. Let c = 48 + g. Let v = 29 + c. What is the greatest common factor of 78 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20372442*q**2 + 80326573*q wrt q.\nAnswer: -40744884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Differentiate 0*b**4 - 4 - 2 - 5*b**4 - 2*b**s wrt b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 3*k + 0*k)*(-325*k + 615*k + 2*k**2 - 331*k) + (-3*k**2 - 2*k**2 + 6*k**2)*(2 - k - 2) to the form d*k**2 + z*k**3 + i + a*k and give d.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174240 by 5.\nAnswer: 34848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/11 in 1\/4, 3\/4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b + 25. Let h(w) = 17*w + 26. Suppose -5*y - 21 - 4 = -4*x, -5*x + 21 = 4*y. Let g(s) = x*h(s) - 6*k(s). Let u(d) = 2*d**2. What is u(g(r))?\nAnswer: 2*r**2 - 80*r + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -456.655033 to 0 decimal places.\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46112 - 3?\nAnswer: 4610a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 165835089*h**2 - 165835092*h = 0. What is h?\nAnswer: -1, 0, 55278364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24ac5e (base 16) to base 4\nAnswer: -21022301132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 10970*w\/3 + 48400.\nAnswer: 2*(w - 1815)*(3*w - 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 23*k + 95*k**2 + 54*k**2 + 15*k - 14*k + 12*k**2.\nAnswer: 161*k**2 + 24*k - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*-8*((-45)\/(-6) + 1). Suppose 3*d - 233 = -r. Let v = 64 + -42. Calculate the highest common factor of v and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.84 + 21. Let g = s + -0.1645. Round g to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 61*v + 41. What is p(-31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -194*i + 196*i. Suppose 2 + i = a. Let p(w) = 2*w**3 - 5*w**2 - 8. Let d(j) = 2*j**3 - 4*j**2 - 7. What is a*p(y) - 5*d(y)?\nAnswer: -2*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 8. Let y be d(-8). Let w = 100 - 96. Solve -2*f + 24 = 4*m, -4*m - w*f + y = -28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53686779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = m - 5*r, -40*m + 4*r - 24 = -42*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*g = -49, -3*u + 42 = 3*g + 9. Let a be -5*(-2 - u\/15). Find the third derivative of -a*b**4 + 5*b**2 - 18*b**4 - 7*b**2 - b**2 wrt b.\nAnswer: -720*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.08 + -1.097. Let f = y + 0.317. Let g = -5 + 3. Sort 2, -3\/8, g, f in increasing order.\nAnswer: g, -3\/8, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -14*w - 21. Suppose -2*x = 5*x - w. Suppose 3*z + 5*m = 39, x*m - 6 = -3*z + 39. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:00 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4214520 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110010 + 100110101100001?\nAnswer: 100100100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322498624*i**3 - 168826194*i wrt i.\nAnswer: -1934991744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0974, 5\/3, 14 in descending order.\nAnswer: 14, 5\/3, -0.0974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.3, 10\/11, 28.8, -3, 3, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let u = -2.3 - -2. Let d = -0.8 - u. Which is the nearest to -0.1? (a) d (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:11 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/196)\/((-9)\/(-48)*4\/24).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/5)\/(o\/(o*o**(-2\/7)*o*o))*(o**(2\/9)*o)\/o**3 assuming o is positive.\nAnswer: o**(-209\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r + 13*r - 3*r + 120 + 13*r - 135. Let d(o) = 17*o - 15. Suppose 9 = 4*y - 15. Let f(g) = y*d(g) - 5*k(g). Differentiate f(t) with respect to t.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 - 3 = 4*d, 14 = 3*n - 4*d. Suppose -2*r - 16 = n*r. Put 4, 3, r in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211654 is divided by 42322.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -232038.234 to the nearest 100.\nAnswer: -232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*a + 16, -4*a - 19 - 18 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5)*(-15)\/30)\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 141\/21 + 4\/14. What is the greatest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776468*v**2 - 2 + 2.\nAnswer: 776468*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 + 260.1. Suppose -12 = -4*h - 72. Let l = -72\/5 - h. What is the nearest to 1 in 5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8316023l in millilitres?\nAnswer: 831.6023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, m: 3, w: 4, q: 2}. Give prob of sequence wm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/15930 and -173\/1350?\nAnswer: 79650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m)**33*(m**(-1\/3)\/m)\/((m*((m*m**1*m)\/m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(821\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7315*m + 3121 = -1957*m + 43089 + 110056 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*o - 273 = 0, 5*a - 632 - 64 = -3*o. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357\/5 bigger than 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 24 = -3*w, -21*m = -w - 18*m - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5566 + 8393. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 627 = 4*r. Calculate the remainder when r is divided by (-792)\/(-15) - 2\/(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from {w: 5, z: 4, d: 2, i: 7}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 21*m**3 + 33*m**2 - 18*m = 0?\nAnswer: -2, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4, -k = r - 6*k - 30. Let n = -3125\/84 - -240\/7. Find the common denominator of n and ((-488)\/r)\/(2\/(-5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 1 + (sqrt(567) + -1)**2 - (4*(sqrt(77) + sqrt(77)*2)\/sqrt(11))**2 - (sqrt(1512)*4 - sqrt(42))\/(sqrt(216)\/sqrt(4)).\nAnswer: -439 - 50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(4 - 3*b - 4) + (3 - 3 - b)*(3 - 4 + 0)*(3 + 0 - 1))*(24 - 3 - 13 + 7*b).\nAnswer: -28*b**2 - 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564319 + -278708. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 9:17 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33137008, 66274012, 99411010, 132548002?\nAnswer: 165684988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -5. Let t be (-2)\/f + 660\/50. Solve -4*g + 3*a = -14, g + 4*a - t = -0*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 573*l - 17784.\nAnswer: -3*(l - 152)*(l - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4*k**3 + 0 + 0*k**2 + 0*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -0.5, -1\/19, -1\/38, 2, 16?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5537*p**2. Let w(l) = 419*l**2. Give t(w(f)).\nAnswer: -972081257*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 162915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 384858854 to the power of 1\/2, to the nearest integer?\nAnswer: 19618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5434 - 5451) + (2 + 0 - 38).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31 and 0.0638?\nAnswer: 31.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 15, -4*x = 2*x + 2*x - 5*h - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a - 5. Let s be j(-5). Let o = s + -31. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, 2, -5 in increasing order.\nAnswer: -29, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 24. Let c(p) = -3*p**2 - 114*p + 5. Let d be c(-38). Give t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-4)*j)\/j)*j\/(j**7\/j))\/(j\/(j*j**(-2\/3)*j)*j**(2\/17)) assuming j is positive.\nAnswer: j**(11\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.04978761.\nAnswer: 2.04978761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 141\/2, 201, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -102.5. Let h = -411 - -388. Let l = g - h. Which is the nearest to 1? (a) l (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - (-4788)\/7)\/(5 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**49\/(g**41\/g*g*g**(6\/5)*g) assuming g is positive.\nAnswer: g**(2234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 2\/(-2)*1. Suppose 21 = 3*q - 5*o, -4*q - w*o = -0*o + 1. Suppose -q*h + 4 = 3*y, -3*y = h - 2*y - 3. Sort -4, h, 1\/7 in increasing order.\nAnswer: -4, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 18 - (-12 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/296658 and -36\/181291?\nAnswer: 3263238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -4) + 100\/(-25). Let m be (1\/((-24)\/(-18)))\/i. Factor -m*n**2 + 3\/8*n**3 + 0 - 3\/8*n**5 + 0*n + 3\/8*n**4.\nAnswer: -3*n**2*(n - 1)**2*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.1. Let o = -0.3 - a. Let s = -3.67994 - -0.67994. What is the nearest to o in 3, 0.9, s?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w = 9. What is the greatest common divisor of 72 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3765 + 3783.8. What is the nearest to m in 4, 0.5, 0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*i**2 + 59*i**2 - 25*i**3 + 74*i**3.\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b - 15. Let f(a) = -7*a - 8. Let q(c) = 7*f(c) - 4*r(c). Let y be q(6). Suppose y = 2*l + 3*l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 182*r**2 - 139002*r - 35152. What is m(764)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v + 24. Let y(o) = 9*o + 24. Let r(l) = 4*b(l) - 3*y(l). What is the derivative of r(s) wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51493\/74160 + 40\/927. Calculate the common denominator of l and 63\/248.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26950331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.7017 months in years?\nAnswer: 9.558475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -2365.146\nAnswer: -165.56022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.07, -5\/6, -2, -0.8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:37 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/126)\/((-2)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 6, r: 4, s: 1}. What is prob of sequence sj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*t**2 - 2*t + 2*t.\nAnswer: 702*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005422 to 7 dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1668\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 356481 + -5?\nAnswer: 356477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + -2 + -4 + (sqrt(80) - (2 + -4*sqrt(80) - sqrt(80))) + sqrt(80) + -5)**2.\nAnswer: -1120*sqrt(5) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 - -3.4. Let h = -29667.099944 - -29667. Let r = q + h. Round r to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -5*z + 2*a, -2*a - 380 = -3*z - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -861 - -571. Let t = -484 - b. Let p = t + 193.99843. What is p rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -13, -0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*m**2 + 5 + 4 - 6 + 18 with respect to m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 t when three letters picked without replacement from {e: 2, a: 7, t: 9, w: 1}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5365*t**3 + 354 - 354 + 5449*t**3.\nAnswer: 84*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 5 (c) -0.17 (d) 2\/13 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 2669.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 94. Suppose 4*q - 5*q - 3*c = -7, w = 2*q + 2*c - 22. Solve 3*b = 19 - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1959977 centuries in decades?\nAnswer: 1.959977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*k + 2847 = -2679 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3854460\/23 or -167585?\nAnswer: -167585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) 3.9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/25 of a meter in millimeters?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799 and 672401.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3782281 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7765, -1\/16, 1.64, 0.2 in increasing order.\nAnswer: -7765, -1\/16, 0.2, 1.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/((-2)\/(-4) + -2). Let u = 39 + d. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -f + 9, 16*f = -5*q + 12*f + 24. Let b(r) be the second derivative of -32\/7*r**2 + 0 - 3*r - 1\/21*r**q - 16\/21*r**3. Factor b(j).\nAnswer: -4*(j + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 13*i. Let n be z(13). Let c be (41\/((-3)\/3))\/(-3 - -2). Suppose c*m = 39*m. Solve g = j - 2 - n, m = 4*j + 2*g + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000075944873 rounded to 7 dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7250323949*q**2 - 1 + 7250323943*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Suppose 14 = 4*p + 2. Suppose p*m + c = -2*c + 9, -d*c = -4. Is 0 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2218136*a**3 - a**2 - 2217622*a**3 + a**2.\nAnswer: 514*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - y**3 - 3*y**2 - y**3 in the form t*y**3 + w + o*y**2 + p*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, o: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*o - 11, 3 = -3*o - 6*h + 3*h. What is the derivative of 2 - 4*u**4 + 0 + 3 - o wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9662 + 231*a**3 - 9662)*(-4*a - 43 + 43 + (2*a - 1 + 1)*(2 - 1 + 0)) as u + d*a + x*a**4 + b*a**2 + i*a**3 and give x.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**4 + 7*k - 7*k)*(1 + 1 + 1 + (1 - 5 + 2)*(5 - 14 + 6) + 3 - 4 + 0)*(-3 + 5 - 3).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12 - 5\/390.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1)\/7 - 44\/(-14) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r = 76*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 336488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3227760*n**3 + 5*n**2 + 3*n - 4. Let p be l(-3). Suppose 10875188 - p = 4*d. Let k = -2568591 - d. Round k to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13910 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3785 or 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**2 - 31*y**2 + 37*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 49007 - 1326 - 1239.\nAnswer: n - 51572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or 74319?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2842526013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/120 - i**5\/30 + i**3\/2 + 604*i**2. Let b(d) = d**2 - d - 1. Let h = 2 - 1. Calculate h*a(j) + 3*b(j).\nAnswer: -j**3 + j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -33*k + 263. Calculate v(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*m - 5*m + 2*m)*(2*m - 1 + 1) + 2*m**2 - 11*m**2 - 5*m**2)*(6*m - 5*m - 3*m) in the form f*m**2 + y*m + w + t*m**3 and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-710)\/(-59) + (-76)\/2242.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 728 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 916277249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2963*z + 74120. Determine h(-25).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b - 4. Let n(p) = 1. Let t(z) = h(z) + 5*n(z). Suppose x + 3*d + 0*d = 7, 2*d = x + 3. What are the prime factors of t(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204550465 divided by -5844299.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3981404, 3981368, 3981306, 3981218, 3981104?\nAnswer: 3980964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 1\/4, 8\/133 in increasing order.\nAnswer: -0.3, 8\/133, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -4*sqrt(84)*-1)\/(sqrt(12) - sqrt(84)\/(sqrt(21)\/sqrt(3)) - sqrt(12) - sqrt(12))*6.\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = -5*q. Let f be (3 - 6) + (-32*1)\/q. Suppose -r - 2 = 0, 0 = -f*u - 0*r + 2*r + 124. What is the smallest common multiple of u and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2520369ng in micrograms?\nAnswer: 0.0002520369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-546)\/(-13)*(-3)\/((-84)\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37\/63 - -13\/9. Let f = -16.93 + 17. Let v = -4.7354 - -1.7354. Which is the fourth smallest value? (a) s (b) f (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-78) + (-13301)\/(-13). Suppose -y = 3*n - 356, 85 + u = 3*y + n. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -19*q**2 - 4. Let z(n) = -11195*n**2 + 3746*n**2 + 3736*n**2 + 3739*n**2. Calculate z(f(h)).\nAnswer: 9386*h**4 + 3952*h**2 + 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 45\/4, 2, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*0.17\nAnswer: -0.00952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 - 23*t**5 - 40 + (-2*t**4 + 0*t + 0*t)*(-5*t + 0*t + 8*t).\nAnswer: -29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -9*a - 2*a. Solve -u = 2*k + 2, -2*u + a*u = 5*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 10*s**2 - 480*s + 4. Let m(y) = -y**3 + 5*y**2 + 245*y - 2. What is 13*m(c) + 6*z(c)?\nAnswer: -c**3 + 5*c**2 + 305*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-3)*(-19)\/(95\/30150). What is o rounded to the nearest one thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6 (c) -3.4 (d) -35 (e) 1\/6 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 13*h - 16*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 139*v**2 + 115*v - 25. Is p(34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**2 + 31*j + 25*j - 81*j + 25*j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = o - 4*o + 3, -1 = o. Let f be (1 + -2)*-2 + 2. Suppose -f*m = -d*m - 20. Solve -m = 3*r - 8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 6.5. Let q = m + 4. Which is the closest to q? (a) -0.3 (b) -2\/5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - -2.02. Let j = 3.8 - d. What is the closest to 0.1 in 3, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1008) + sqrt(1008) + 2)**2 - (sqrt(1008) - (sqrt(1008) + 2 + sqrt(1008) + -3))**2.\nAnswer: 120*sqrt(7) + 3027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1748\/228 + (1 - 10))*(3 - -15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x - 676*x = -38528 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 657809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*v**2\/2 - 133*v\/2 + 65.\nAnswer: (3*v - 5)*(11*v - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*d + 9 = 0, -4*d + 3*d = 5. Let u be -1 - (-1 - 2) - z. Let a = u + -1. Sort a, -1, -3.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 9, b: 3, h: 2}. Give prob of sequence bbh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20*x - 3. Suppose -2*b + 10 + 70 = 0. Suppose 0*w = -4*w + b. Calculate the remainder when r(-2) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*b = -260*b - 1312 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -48. Solve -i = 3*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 - 3\/1. Let h = 176.8 - 172.8. Which is the third biggest value? (a) -1\/12 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10478\/1859)\/(12\/(-66))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3)\/(20\/(-4)). Suppose u = 2*w - 2*q - 1229 - 1351, -5*w - 5*q + 6400 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6997164442 to the power of 1\/3, to the nearest integer?\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3744 - -1.3594. Which is the biggest value? (a) 5 (b) -0.4 (c) g (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.07 (b) 8 (c) 3\/65 (d) 0.2 (e) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252 + 252. Solve f - 2*a - 8 = 3*f, -f + 5*a - 4 = p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208210 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Which is the nearest to v? (a) 3 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 85\/(0 - 5\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 34 = 2*v, -o = -4*o - v + 23. Suppose -4*w = -5*s - 2, 0 = -4*s + o. Let k(b) = 1 + 0 - 3*b**3 + 2*b**w - b + 0 + 5*b**2. What is k(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:40 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(26\/((-182)\/(-14))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 151704 divided by -12\nAnswer: -12642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048 = 31*v - i - 114, 0 = -4*v + 5*i - 140 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60743, -60731, -60731, -60749, -60791, -60863, -60971?\nAnswer: -61121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c - 14. Suppose -4*j + 2*h = h - 16, 3*h = -5*j + 20. Let s(g) = 5*g + 5. Let k(o) = j*a(o) + 11*s(o). Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-6)*a*a)\/a**5*a**(-2\/9)\/((a**6\/a*a)\/a))\/(((a*a*a**1)\/a**(-3\/7))\/(a**(-1\/4)*a*a*a*a**(-2\/23))) assuming a is positive.\nAnswer: a**(-75277\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let p(o) be the first derivative of -o**2 - 5. What is p(c(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*y + 67, 2*y = -3*w - 3*y + 201. Let a be ((-3)\/(-3))\/((7\/30)\/(-7)). Let o = w + a. Does o = 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 2\/5, -7\/2, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 105\/10)*(-368)\/2990.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -40.35. Let d = l - 0.15. Sort 4, 0.4, d.\nAnswer: d, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.34 - 0.44. Let v = h + -2.3. Let a = -8 - -4. What is the closest to 0.1 in -1\/5, v, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 9*p + 10. Let n be o(-10). Let b(d) be the first derivative of -5*d - n*d**3 + d**5 + 4 + 20*d**3. What is the derivative of b(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -3, -1, 4, -0.1, 396?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 9*s + 4*s, 5*g - s - 527 + 547 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(-24*x**4 + 25*x**4 - 31*x**3 - 31*x**2 + 33*x**2 - x) to the form g*x**3 + n + o*x**2 + l*x + a*x**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/80 - 403*j**4\/32 + 101*j**3\/2 + 1851*j**2. Factor k(i).\nAnswer: -3*(i - 1)*(i + 404)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*3\/((-75)\/(-130)). What is the units digit of 13\/(q\/(-168)) - (-3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*u + 749269 + 212522. Calculate the highest common divisor of 53 and u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1014\/20280)\/((56\/(-42))\/((-25)\/(-3)))?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 49*i**3 + 6*i**2 - 8*i + 8. Let c(l) = 16*l**3 + 2*l**2 - 3*l + 3. Give -8*c(r) + 3*x(r).\nAnswer: 19*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07300326586 rounded to five dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 l when three letters picked without replacement from lalveeivakevia.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 30 - (11 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 17*p - 62. Let r be w(-20). Let u be (40\/70)\/((-1)\/28*r). Suppose 3*l = 3*b - 0 - 24, 0 = -2*b + l + 11. Solve b*f - 5*f = u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/23 (b) -2\/5 (c) -1673 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/1)\/(6\/(-16)). Let n(w) = w + 8. Let j be n(z). Suppose 6*o - o + 4850 = j. What is o rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -254723 + 2488?\nAnswer: -252224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9178064 is divided by 541?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273488 and 341860.\nAnswer: 1367440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/14)\/((-56)\/196)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 2*w - 4 + 0 + 1. Let k = 6 - 2. Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180*(-5)\/3*(-1290)\/8600?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 57828500.889?\nAnswer: -57828500.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -81*f**2. Let u(j) = -j + 25. Let g be u(5). Suppose g*w - 3*w = 68. Let n(b) = 10*b**2. What is w*o(l) + 33*n(l)?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468 is divided by 1067?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:34 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 5. Let c be o(7). Suppose -16 = -c*z - 70. Let r be z + 1 - (0 + 0). What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11083 less than or equal to -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 21. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9931 in -8, -2\/7, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 53, -1, 6 in decreasing order.\nAnswer: 53, 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 5, x: 1, n: 1, h: 1, k: 7}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 14*h**2 - 33*h + 2. Let v be u(-11). Suppose -2*z = 7 - 1. Let d be (z\/(-45))\/(v\/12). Which is the second biggest value? (a) d (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40963*n**4*o**2 - 32919*n*o**2 wrt n.\nAnswer: -491556*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 2*u - 41. Calculate the remainder when (u + 12\/3)*-1 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14993, -48863, -105313, -184343?\n\"Answer: -11290*b**2 - 3703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 658 and 728.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*q**2 - 383*q**2 + 115*q**2.\nAnswer: -599*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 + 4*o + 2. What is h(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -40, -3, -4, -60, 1 in descending order.\nAnswer: 1, -3, -4, -40, -60, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + 14. Let u(v) = k*v**2 - v + v - 22*v**2. Let y(m) = -m**2. Give u(y(r)).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 289624.8ml?\nAnswer: 289.6248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/140 + x**4\/14 - 3*x**3\/14 - 12*x**2. Solve i(y) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5 + 150*n**4 - 636*n**3 - 64302*n**2 + 864639*n - 799848 = 0.\nAnswer: -21, 1, 23, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213 - 121.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-5))\/(20\/(-25)). Let j = 1.05 - 0.05. Which is the closest to 0? (a) d (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(21\/(-140)). What is the units digit of j\/(-3)*156\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 11. Suppose -20 = 3*x - 4*x. Calculate the remainder when x is divided by s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(891) + 1) - (0 + sqrt(891) + 0))*-1 + -2 + -1.\nAnswer: -45*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 9. Calculate the common denominator of -2 + (-246)\/(-20) + 0 and (-7)\/z - (-3)\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.6187l to millilitres.\nAnswer: 614618.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-4) + (-40)\/(-60)*3. Put q, 6, 158, 0, 4 in decreasing order.\nAnswer: 158, 6, 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 + 10*m**3 - 8*m = 0. What is m?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - 7410\/(-5460))\/(10\/21)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -34\/4083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:50 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0941 bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378970*l**5 + 4262*l**2 + 53?\nAnswer: 22738200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n + 3*n + (0 + 0 - 2*n)*(3 - 2 - 3) - 3*n + 4*n + 0*n + 24*n - 13*n - 13*n + (2*n - 3*n + 2*n)*(-4 + 0 + 2) + 9*n + n - 4*n + 0 + 0 - n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2\/3*m**2 - 2\/3 + 1\/3*m**3 - 1\/3*m = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 66541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070 + 8*j + 2070.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - x - 3. Let y be n(3). Let d be (0 + -3)\/(2 - y). Find the second derivative of 22*g - d*g**4 + 5*g**4 - 16*g wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45*-0.037.\nAnswer: 0.01665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2208 + 0.6208. Put -1, -1\/4, -2\/9, -2, v in descending order.\nAnswer: v, -2\/9, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 10. Let b = 7 - 2. Solve b*y + u = -7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (((sqrt(60)\/sqrt(6))\/sqrt(2))**2 - sqrt(5)) - (sqrt(180) + 1)**2.\nAnswer: -176 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*k - 52697 = 0, 0 = 3*j + j + 5*k - 52673. Let w = -5473 + j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - 0) - (-106 + 105)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 52*q + 4106. Let s be m(-79). Let f = -0.35 + 0.05. Which is the closest to 0? (a) f (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dd27 + 6d0?\nAnswer: -d647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v - g, v + 16 = 5*g - 0*g. Suppose 30 = v*t - 18. Suppose -s + t = s. Calculate the least common multiple of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {y: 3, k: 4, s: 2, a: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 4:26 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 + 2*d**2 - 2*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022187 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614984119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = j - f, -3*j + 9 = 3*f - 78. Let x = j - 28. Suppose 18 = -w + x*w. Calculate the remainder when 51 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181.3 + 203.6. Let c = 29.8 + -3.8. Let j = y - c. Round j to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + g - 25 = 0, -b - 26 = -2*b + 4*g. What is the greatest common factor of b and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4 + -6 - -1208 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + l + 2. Let u be k(5). Let d be (-148)\/u + (-2)\/9. Suppose 3 + 5 - d*n + 0*n**2 + 2*n**2 = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-18))\/(262\/8). Let l = 812\/5109 + c. What is the biggest value in 1, l, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4)*(v + 5*v - 3*v)*(3 - 4 - 1)*(0 - 1 + 0).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 25. Let a = f + 54. Calculate the highest common factor of 75 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 5 - (-10)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:01 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 119*n + 21 = 123*n, 0 = 4*n - 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 4*c**2 - 6*c + 1. Let v be a(-5). Suppose b = -v*b + 1232. Calculate the greatest common divisor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 6, k: 4, p: 4}. Give prob of picking 1 c and 1 y.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -23.0023. What is g rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.0000285 + 51. What is t rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2. Suppose 33 = 4*m + 9. Let j(u) = -7 + m*u - u - 5*u - 4*u. Let q(d) = 3*d + 5. Let v(r) = 5*j(r) + 7*q(r). What is v(p(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*r - 316870 - 603122, 4 = -2*r. Let a be ((-50)\/4)\/((-1)\/u). What is a rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*s + 3*s. Let f(d) = -d + 4. Let r be f(s). Let z = -8 + r. Let l(x) = -4*x + 3. Determine l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/119 + 2\/(-63))*9. Let w be (-10 - -16)*(1\/2 - y). Let c(m) = -2*m**2 - 2*m + 4. Give c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3cfe4 (base 16) to base 12\nAnswer: 1006b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 48 (b) -3 (c) 5 (d) 0.4 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6320, 2\/323, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d - 81*d + 950560 = 52*d. Is d at least as big as 4570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(12)*3)**2 + -5) + (3*sqrt(60)\/sqrt(2))\/(6*sqrt(10)*2).\nAnswer: sqrt(3)\/4 + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 12 - 29)*(-101*r - 130*r - 15*r - 32*r)*((-2 + 3 - 3)*(-1 + 2 - 3) - 3 + 3 - 2).\nAnswer: 30024*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 u when three letters picked without replacement from gpuuuluupguupdgulpu?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - n**3 - 1)*(270*n - 37*n**2 - 270*n) - n**5 + 16114*n**2 - 45*n**4 - 16114*n**2.\nAnswer: 36*n**5 - 45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1db4 (base 14) in base 9?\nAnswer: -7425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/3 - 26*h**4\/3 + 2*h**3 + 82*h**2\/3 + 52*h\/3 = 0. Calculate h.\nAnswer: -13, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j*p + 189*j + 2305*p - 2 wrt j?\nAnswer: 5*p + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -4. Suppose t = -4*r + 12, -2*t + 2*r + y = 5*r. Differentiate 3 + t - 2 + 6*w**3 - 4 with respect to w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61727411?\nAnswer: 61727411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*4\/1071*(-14958)\/9972?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -2.84. Let k = -11 - -11.14. Let h = k + z. Which is smaller: -0.5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = -o - 615, 4*o - 2*v + 7532 - 7634 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let x(y) = 74*y. Determine s(x(w)).\nAnswer: 74*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 110101110011000100111010110?\nAnswer: -110101110011000100111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 36 = -9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 1 = -10*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*a + 995 + 37 = -502 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6624457302?\nAnswer: 2, 3, 563, 1961059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/288 or 170?\nAnswer: -1\/288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -3.57. Let m = f + 3. Let r be (-1 + (6 - (-6)\/12*-6))\/(-6). Which is the second smallest value? (a) -3\/10 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**2 + 431. Let u(a) = -134*a. Give b(u(l)).\nAnswer: 268*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 4. Let d be ((-2)\/(-282))\/((-5)\/v). Is -1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18620 and 20482?\nAnswer: 204820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 - 5*t + 2. Calculate the remainder when k(3) is divided by ((-50)\/40)\/(4\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 1 s when three letters picked without replacement from {g: 1, s: 6, w: 1, n: 1, b: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 - 105 + 311 + 3*r**3 - 98 + r - 21*r**2 to l + z*r**2 + q*r + c*r**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20316 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3863b6 - -b?\nAnswer: 386405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42526 times -0.29\nAnswer: -12332.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 1976?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - 58. Let k = 114 - b. Suppose 3*d + 4*y = 89, -5*y + 91 = -4*d + 7*d. Calculate the highest common factor of d and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*t + 275*t + 68*t + 199*t + 53079 = 0 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-116)\/174)\/((-3)\/(6\/2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4778 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -42*m + 7. Let y be j(1). Let g = y - -53. List the prime factors of ((-24)\/g)\/(2\/6)*-7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1))\/2 - 0. Let m = 1471\/13 - 113. What is the closest to a in 2, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/24 - -5\/8. Suppose 27 = b + 6. Let o = 85\/4 - b. What is the nearest to 0.2 in v, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 324 + -234. Suppose -u + 2*j + 12 = 0, -4*u = 5*j - 56 - 31. What is the greatest common divisor of u and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = -23*o + 30*o. What is the highest common divisor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24298262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(-21)\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h**2 - 2*h**2 - 3*h**2)*(5*h - 4*h - 3*h)*(0 + 2 + 0)*(-10*h - 254 + 254) as r*h**3 + i*h**2 + k + v*h + z*h**4 and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 4554*j + 9096.\nAnswer: 3*(j - 1516)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v**2. Let q(p) be the first derivative of -2*p**3\/3 + 15. What is q(r(f))?\nAnswer: -338*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 11. Suppose 0 = k + 9 - 7. Let w = 2.978 + 0.022. What is the nearest to 0 in i, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {c: 1, n: 1, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u - 4*u + 2*u)*(3*u**3 + 8*u - 8*u) + u**4 - 3*u**4 - 3*u**4.\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*o + 10, -4*o - 784*a + 29 = -777*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/580)\/((-2)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/90 and 47\/3870.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710.1581 hours in weeks?\nAnswer: 10.1795125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 66*j + 272. Give w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/1220*(432\/(-56) + (-2)\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 60\/13 (c) 8 (d) 5 (e) -0.042\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-18))\/(-8 + 7) - 16315\/(-3). What is the greatest common factor of 111 and t?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 781*i - 60. Let q be b(20). Suppose 36*m - q = 16*m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6) + -2)*2. Let m = 320\/3 + -106. Sort m, o, -2 in descending order.\nAnswer: m, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 60 = -2*r. Calculate the common denominator of 2 - (-69)\/r*-5 and -37\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from kkkaakakkkakeakakaaa.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-33 - -31) - -15.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**14*w*w*w**(-2)*w*w assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 343976 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*v**3 - 1984*v + 1984*v)*(3*v - 3*v - 2*v**2).\nAnswer: 104*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n + 4*a + 88, -4*n + 3*a - 428 = 0. Let v = -40 - n. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 260.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-6)\/(-6)*-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.75 (c) -862\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l. Suppose k - 2*k + 1 = l. Let y be (-1)\/((k*-3)\/(-3)). Which is the nearest to 1? (a) y (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 10. Let w be y(-2). Is w not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 450, 4, -16, 7.\nAnswer: -16, 4, 7, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 + 0.5. Let f = 1.62 + -2.62. What is the biggest value in f, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 548 = -91. Let c = o - 52. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*j**2 - 38*j**2 + 48*j**2 to the form c*j**2 + m + t*j and give c.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18871 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4 - 240*v**3 - 3600*v**2 = 0.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130300, 256487, 382674, 508861, 635048?\nAnswer: 761235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(891))**2 + 0 - -1*sqrt(891)*-6) + -1 - (-1*((-3*sqrt(891)*-1)**2 + sqrt(891)) + -1))*6.\nAnswer: -378*sqrt(11) + 53466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16572982 to the power of 1\/2, to the nearest integer?\nAnswer: 4071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/42 - (-130)\/14. Let q(w) = 5*w - 22. What is the remainder when q(f) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppsupjjjjpjspr. Give prob of picking 2 p and 1 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*-2*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*y + 378 + 762 + 948. Solve j - 2 = -5*h + 25, 2*h = -4*j + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 3*p + 10*p - 5*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -41*t + 21. Let h(f) = 34*f + 0*f + 46*f - 42. Let r(g) = -3*h(g) - 7*z(g). What is the derivative of r(q) wrt q?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760912?\nAnswer: 2, 19, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 8*r + 8. Let b be s(9). Let o = -19 - b. Let z = o - 20. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15404121 (base 7) in base 14?\nAnswer: -2a7748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 15*n**2 - 34*n - 13. What is g(-12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 240 - 483 + 245 = -2*f, 5*c = 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 65. Let m = -55 + a. Solve 2*l + m = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 949 - 7?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1839 + -1835. Which is the fourth biggest value? (a) 0 (b) 1 (c) 26\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 7*m - 13. Let c be j(9). Let p = 0.0278 - 0.5278. What is the third biggest value in p, -12, c?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let w = -2959 - -2828.3. Let r = w - -131. Which is the third smallest value? (a) k (b) 1\/12 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2783*s - 701*s + 1307 = 7553 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 33*k\/7 + 36\/7.\nAnswer: -3*(k - 12)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-10))\/(1\/(-5)). Let p(y) = 7*y + 25. Let c(n) = 3 + 13 + 4*n - 3. Let z(q) = -11*c(q) + 6*p(q). What is z(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - 0.02. Let i be 1\/3 + (-2)\/(-3). Let v be 48\/(-60) - ((-6)\/(-14) - (-2445)\/(-2275)). What is the nearest to 0 in v, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2 + 1. Let b(i) = -128*i**2 + 48*i + 48. Let g(c) = -3*c**2 + c + 1. Let t(h) = b(h) - 48*g(h). What is t(n(k))?\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + 3.92. Let d be -1*(1 - 0 - 0). Suppose -2 - 1 = 3*t + u, 0 = -2*u + 6. Which is the second smallest value? (a) d (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j. Let t = -19 - -20. Let i be -18 - -11 - (t + -2). Let c(x) = -4*x. Let q(n) = n. Let g(h) = i*q(h) - c(h). What is m(g(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22452*w + 6132?\nAnswer: 22452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/192)\/((-12)\/(-180)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -23*o + 1. Let h(t) = -1. Let l be 9\/((-27)\/(-2))*12. Let n be 18\/4*l\/(-6) + 3. Let s(z) = n*h(z) - d(z). Find the first derivative of s(c) wrt c.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = i + 9, 8*i + 15 = -5*x + 3*i. What is the second derivative of x - 1 + 17*n + 21*n**4 - 15*n**4 wrt n?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 1:38 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -1475. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4899 - 5737 = 721*p + 8110 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11670433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/27 and -76\/129?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/(-2) - -2*1. Let n(h) = h + 21. Let o be n(-23). Does 7 divide 40\/15*a\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -10 - (2 + 2). Let t be ((-15)\/b)\/(-3) + 3. Suppose -1\/4*r**t - 1\/2*r + 1\/2*r**3 + 1\/4 + 0*r**2 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 44 = -0*b. Sort 6, b, 8 in ascending order.\nAnswer: b, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*g**2*o*r**3 - 2*g*o*r**2 - 10*o - 4*r**3 wrt g?\nAnswer: 294*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**2 + 17*f - 13. Let i(z) = 7*z**2 + 8*z - 6. Give 13*i(o) - 6*q(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*u = 54*u. Let s(d) be the third derivative of 2\/15*d**5 + u*d - 7\/6*d**4 + 2*d**3 + 0 + 4*d**2. Factor s(o).\nAnswer: 4*(o - 3)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 2*k + 102, -5*l - 4*k = -132. Suppose 3*v - v = n - l, v - 4*n = -26. What is the units digit of 6*(-2)\/(-3)*v\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245543 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/2 - (901 - 901)\/(9 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + j. Let y be (50\/14 - 3)\/((-54)\/(-189)). Suppose 3*p = -y*c - 10, 5 = -5*p + 4*c + 3. Let i(u) = -u**2 - u - 3. What is p*q(b) - i(b)?\nAnswer: 3*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 45*f + 131. Let d be y(42). Solve -d*r - 4 = j, 7 - 14 = 4*r - 3*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Suppose 0 = 2*c, s + 2*c - 2 = -0*c. Let p(v) = 3*v - s*v + 10*v + 14*v. Determine w(p(n)).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358829426?\nAnswer: 2, 23, 73, 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**3 + 2*a**2 + 8*a + 16. Determine b(-2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 446*a - 442*a + 8, 0 = -i + 3*i + 5*a + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4090317 and 7\/1168662.\nAnswer: 8180634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7209 at most as big as -7209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 - m**2 + 7*m + 13. Let p(g) = -g**3 + g**2 - g - 1. Let z(d) = -b(d) - 6*p(d). What is z(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 7*p - 1580. Let a = 3181\/4 + p. Determine m so that 3\/4 - 39\/4*m**3 - a*m + 3*m**4 + 45\/4*m**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183656 (base 9) to base 2\nAnswer: 11011111001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-80)*(-1790)\/4 - 9\/(-36)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 349361 and -1.2792649.\nAnswer: 349359.7207351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*i - 123*i = -10. Suppose -8 = -n - i, 5*d = n + 2. Suppose -4*j + 20 = j. Sort 3, j, d.\nAnswer: d, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48500494 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/945 - 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.81*0.038.\nAnswer: -0.14478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -16. Suppose 24 = h*d + 4*a, -5*a = -3*d + d + 36. Suppose 0*q = -q + d. Calculate the least common multiple of q and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2668 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/4 + 2*l**3 + 7*l + 10. Calculate m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -3. Let t = v - -3.7. What is the second biggest value in -0.2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/21 - 18\/((-18)\/(-3))*430\/(-3330)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*i - 1389, -44*z + 49*z + 5*i = 6920. Is 99 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 7*w - 7. Let g be 1*-13 - (-9)\/3. Does 5 divide x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136529 plus -0.03?\nAnswer: -136529.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 - -138. What is the highest common factor of p and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-2)\/8). Let i = -2 + l. Let s(r) = r**3 - 4*r**2 + 10*r - 17. Let v be s(3). Solve i = -5*m + 3*q - 14, -6*q = -v*m - 11*q - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-172)\/10)\/(1*20\/(-50)). Solve -5*h + 3 = -3*r, -r - 42*h - 1 = -l*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46254680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-25) + (6\/30)\/((-8)\/144). Sort 3, q, 314 in decreasing order.\nAnswer: 314, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/13)\/t)\/t**(2\/49) assuming t is positive.\nAnswer: t**(-516\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/2 - 477*b\/2 + 91854 = 0.\nAnswer: -729, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-15 - -34 - 27) - 30.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 - 214*r - 11449 = 0.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 17 - a - 7)*(2*a**3 + 16679*a - 16681*a + 80*a**3) to u + b*a + k*a**2 + x*a**4 + d*a**3 and give d.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143498 is divided by 77.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1608)\/402)\/((-3)\/8)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = 0, 0*h + 50 = 3*n + 5*h. Solve -5*r + n = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 6:34 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 76, 187, 342?\n\"Answer: 22*d**2 + d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o**2 + 11367*o - 11326*o - 3*o**2 + (o - 4*o + 4*o)*(8*o - 2*o - o) - o**2 + 0*o + 0*o as b + a*o + n*o**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 11011100111?\nAnswer: -11010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:15 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let x be l\/5*2\/(-6). What is the units digit of (-2 + 3)\/(1 - x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1888 and 16?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13151 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {u: 9, f: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v + 58. Let m be w(6). Suppose -23 = -m*o + 145. What is the greatest common divisor of o and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5 - 152046*m**4 - 912222*m**3 - 1368314*m**2 - 608136*m = 0.\nAnswer: -76017, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 0.6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.317819449 to 3 decimal places.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10843913 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-6) + 2\/(-3). Let s be v\/18*(-18)\/(-10). Let t = 0.8 + -1.1. What is the third smallest value in s, t, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -7 - -34) + (8 - (23 - 8))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/10 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154556 = 5*m + 3461. Suppose 11*s - m = 48112. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.01 and 806556 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53d (base 16) in base 6?\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35 times 0.2714?\nAnswer: 0.90919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 547, 1619, 3417, 5959, 9263?\n\"Answer: 3*t**3 + 345*t**2 + 16*t + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(8\/7))\/(t*t**(-14)) assuming t is positive.\nAnswer: t**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:39 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11901?\nAnswer: 3, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*f - 56 - 704 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -5675.\nAnswer: -4\/5675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 310, 1484, 2650, 3808, 4958, 6100?\n\"Answer: -4*s**2 + 1186*s - 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + j**2 + j - 1. Suppose 5*t = -z + 2, z + 3*z + 5*t = 8. Suppose h + s = 5, -z*h - 4*s - s + 22 = 0. Let x be y(h). Solve x*u - 12 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*s + 158*s = 480. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in 0.08, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 16*w - 1. Let u be t(1). Let j = -11 + u. Factor 6*c**3 + 4*c**2 - c + 2*c**2 + 3*c + 2*c**j.\nAnswer: 2*c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:35 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/10)\/w)\/w*w*w**(-5) assuming w is positive.\nAnswer: w**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78733*t**3 - 84466*t**3 + 163201*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30388 is divided by 132.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4344 = 28344. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18535, -2, 0 in increasing order.\nAnswer: -18535, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:03 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 225870.9 micrometers in centimeters?\nAnswer: 22.58709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-2)\/2 - 1). Suppose 110 = w*v - 2*q, -4*v = q + 2*q - 111. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccf. What is prob of picking 2 c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 233 - 221. List the prime factors of 1279 - (-1 + (6 - 4)*z).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24932, 9, 98, -5.\nAnswer: -24932, -5, 9, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*o = 11, -o + 13 = -2*j + 2*o. Let b = 4 + j. Suppose b = 2*g - 4. Solve -15 = g*h - 6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -7.4, 4 in descending order.\nAnswer: 62, 4, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/10 + 743*m**4\/10 - 71763*m**3\/5 + 3328916*m**2\/5 - 3601792*m + 4654080 = 0. Calculate m.\nAnswer: -909, 2, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -638*g**2. Let y(n) = 13*n. What is y(x(z))?\nAnswer: -8294*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -886 + 25747\/29. Find the common denominator of -11\/3 and a.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1563 + -1369. Solve -184*s = -g*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5804 = -4*f, 11*c + 3*f + 23229 = 15*c. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21445907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(38)\/sqrt(2) + 2 + sqrt(19) + sqrt(19))**2.\nAnswer: 12*sqrt(19) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 23*d**3 - 210*d**2 wrt d.\nAnswer: 240*d**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 805 = -4187. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.362 - 5.01.\nAnswer: -31.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:43 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 327*f**2 + 0*f**3 - 2*f**3.\nAnswer: -2*f**3 + 315*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 + 78*a**4 + 222*a**3 - 1032*a**2 - 2241*a + 2970 = 0. What is a?\nAnswer: -22, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*s + 1014*s + 379*s + 1785*s - 219180 = 0 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 5*i**2 - 5*i + 6. Let o be p(4). Let v = 127.1 - 127. What is the biggest value in -1\/2, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 90. What is f(16)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 24. Suppose 3*z = 6*z. What is the remainder when 40 is divided by d(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.6. Let c = 45.878 + -45.27799. Let s = y + c. What is s rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42899.6127041 - -0.1572959. Let r = a + -42658. Let m = -243 + r. What is m rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, j: 1, m: 2}. What is prob of picking 1 m and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1260 - 251. Suppose 0 = n*d - 1016*d + 11599. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76b (base 12) to base 10.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272)*1 - sqrt(272))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3048*t + 3040*t + 2944*t + 3042*t - 15115*t + 34 + 3042*t - 34.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + z**2 - 5. Let x(s) = -10*s**3 + 6*s**2 - 26. Suppose -54*h + 8*h = 92. Calculate h*x(y) + 11*v(y).\nAnswer: -2*y**3 - y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 2447795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 - 2*a - 2. Let d(z) = 6*z**3 - 20*z**2 - 11*z - 11. Suppose 3*k - 5*q = -53, -5*k - 19*q = -17*q + 47. Give k*s(y) + 2*d(y).\nAnswer: y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) - sqrt(91)*-1)*-5)\/(sqrt(567)*-2).\nAnswer: -11*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (5 - 23 - -25) - -1 - -8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 6, -3, 15, 0.2, -1\/38.\nAnswer: -3, -2\/13, -1\/38, 0.2, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**4 + 20210*q**3 + 27256500*q**2 + 12301551640*q + 48771394720 = 0.\nAnswer: -1346, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -99. Let v = 187 - -29. Calculate the remainder when v is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 1 - 51 - (-1 + -2 - 0)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2)*32\/144)\/((-682)\/99*-3).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 302*i + 2415. Let s be z(-31). Round s to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) -0.2 (c) -3\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 * -11.\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11099 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1700) + 1 + 2 + sqrt(1700) + sqrt(1700))**2 - (-2 + sqrt(1700) + -3)**2) + -1.\nAnswer: -81505 - 1680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/4 + 141705*r\/2 - 6693435675\/4 = 0. What is r?\nAnswer: 47235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961 at least 2961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -2*l**5\/3 + 5*l**3\/3 - 1168*l**2. Let a(d) = 2*d**2. Determine a(n(i)).\nAnswer: 3200*i**4 - 1600*i**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2 + 2\/3. Suppose -2 = -0*q - 2*q. Which is the nearest to q? (a) -5 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69564 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 26*v + 307. Determine r(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*i**3 + 672*i**2 - 1712*i + 192.\nAnswer: 4*(i - 2)*(i + 12)*(17*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 128*c**3 + 160*c**2 - 126*c - 162 = 0.\nAnswer: -9\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1970 times -22658\nAnswer: -44636260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 + k - 3. Let t be w(-2). What is t rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 906, 1382, 1858?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*g = -6, 5*p - 7*g = -6*g - 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7800 and 117000.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7311926 and 4208.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2\/23, -55635\/8, -1 in decreasing order.\nAnswer: 33, 2\/23, -1, -55635\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-62*g**5 - g**5 - 61*g**5).\nAnswer: -124*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + (-40)\/8 - 6 - 1. Which is the second smallest value? (a) x (b) -2\/3 (c) -2 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 10:30 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 6. Calculate the remainder when 62 is divided by -3 + (73\/3 - q\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 0.\nAnswer: -12, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.31. Let g = 15.89 - z. Let o = 16.0000076 - g. What is o rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 892840499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a + 766 = -84 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u. Let d(t) = -17*t. Let v(a) = -3*d(a) - 8*z(a). Let g(s) be the second derivative of -s**4\/12 - 4*s. What is v(g(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3904*k + 11707*k - 3877*k - 3935*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 7:46 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74468 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 24 - 402*g - 399*g + 798*g. Determine q(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32881, 65536, 98191, 130846, 163501?\n\"Answer: 32655*d + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24664041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d**3 + 4*d**2 - d. Let r(v) = -5*v**3 - 2*v**2. Let b(a) = 7*r(a) + 3*t(a). What is the second derivative of b(c) wrt c?\nAnswer: -30*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800888318 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27146*w - 27144*w + 5*l - 191 = 0, 5*l - 3*l - 80 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 574?\nAnswer: 17794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1656 - 944. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 379958 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i\/i**(2\/11)*i)\/i*i**(-14)*(i**5)**(-40) assuming i is positive.\nAnswer: i**(-2334\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390558 is divided by 1575?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3675*l**3 - 8046360*l**2 - 422480448*l - 5614023168.\nAnswer: -3*(l + 2136)*(35*l + 936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 19*k**3\/6 + 5*k**2 - 6*k. Differentiate h(o) wrt o.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1743 and 0.5.\nAnswer: 1743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -2 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x - 1\/3*x**3 + 0 + 2*x**2 - 1\/12*x**4. Suppose 0 = 17*u - 30*u - 39. What is j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5807899 decades to years.\nAnswer: 5.807899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -3 + 4\/8*76. Find the first derivative of 2*b + 1 - o - 17*b wrt b.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (-3)\/(-4) - (-366)\/24.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(-5*r + 0 + 0) + 2 - 2547*r + 2536*r + 3 - 7*r + 8*r + 7*r to the form t*r + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0 - 2*g + 36 + 0 - 3*g. Let m be y(8). Let z(f) = -f**2 - 3*f - 2. Calculate z(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2.8 (c) -0.8 (d) -0.077\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 2. Let o = -1.6 + 8. Let y = o + -6. Which is the third smallest value? (a) y (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 13*o**6\/20 + o**3\/6 + 2*o**2. Let m be n(1). What is the common denominator of -29\/16 and (m\/(-96))\/(4\/(-12))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 4:03 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -10. What is the nearest to f in -4, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = -268*d - 0. Solve -8*j - 43*j - 306 = d for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 3 = -3*z. Let l(c) = c**3 - 7*c**2 + 3*c - 6. Let m be l(z). What is the units digit of (8\/(-6))\/(-2)*m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 332823, 1332623, 2998957, 5331825, 8331227, 11997163, 16329633?\n\"Answer: 333267*f**2 - f - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 37*l**2 - l + 5462. Calculate a(42).\nAnswer: -3400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 266, 472, 762, 1136, 1594?\n\"Answer: 42*f**2 - 4*f + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 420*x**4 + 112*x**2 - 6*x + 3. Let c(m) = -420*m**4 - 113*m**2 + 4*m - 3. Let z(o) = -3*c(o) - 2*w(o). Find the third derivative of z(j) wrt j.\nAnswer: 10080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3630 (base 7) in base 8?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20575 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -278.96, 0.1, -0.3, 93?\nAnswer: -278.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1789 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*x**3 + x - 93*x**3 - x - 95*x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 1 z when three letters picked without replacement from {w: 2, o: 3, a: 1, z: 1, n: 1, p: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182.6 - -205. Let c = -22 + u. Let f(d) = d + 5. Let b be f(-4). Put b, c, -0.1 in descending order.\nAnswer: b, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = -2*h. Let a(f) = 7*f**2 - 6*f**2 + 2 - f - h. What is a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14574 divided by -6\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3474761 to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -23*r. Let h(n) = -42*n - 2. Determine o(h(k)).\nAnswer: 966*k + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -766?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2 - 2*m + 2) - 2*m - 7*m + 10*m + 57 + 47 - 104 - 799*m.\nAnswer: -802*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6600 and 180669225?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0 - 3, 4 = 3*c - 2*d. What is the lowest common multiple of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33192, -65858, -98526, -131196?\n\"Answer: -b**2 - 32663*b - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9) + 1)*-148*6\/(-32).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*a - l, 5*a + 5*l + 0 + 5 = 0. Let y be 20\/a*12\/(-16). Solve -g - y*g + 21 = o, -4*o + 4*g + 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d6d55 (base 16) to base 11\nAnswer: 551141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 10, x: 4}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.459 - 2.5. Let x = 327\/830 - -1\/166. Let f = 3.11949 - 2.81949. Put f, x, i in ascending order.\nAnswer: i, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 13*t**5\/20 + 15*t**2\/2 + 16*t - 10. Let v(z) be the first derivative of r(z). What is the first derivative of v(o) wrt o?\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/155, -8, -2.9.\nAnswer: -8, -2.9, -1\/155, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtzgtogettoed. What is prob of sequence edte?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301266 and 28692?\nAnswer: 602532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458.\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 11. Calculate the remainder when (-12)\/(-126) - (-3245)\/105 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t**2 + 3*t - 2. Let p be c(1). Let j = 11 + p. Solve j = -d - 1 - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + -6 + (0 - -1) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 0.5. Sort z, 2\/27, -3 in descending order.\nAnswer: z, 2\/27, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 8*j - 16. Let t(q) = -3*q + 6. Let o(w) = 3*r(w) + 8*t(w). Let k(u) = 6. Let n(b) = b - 5. Let v(f) = -5*k(f) - 6*n(f). What is v(o(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 2*s**2 - 2*s**2. Let d(u) = -3*u - 2. Let b(a) = -10*a - 7. Let n(y) = 2*b(y) - 7*d(y). Calculate w(n(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 13*t**2 - 14*t. Let f be g(14). Let i be (-1)\/(-4) - (f + (-14)\/(-24)). Let o = 656 - 655. Sort i, -10, o, 4.\nAnswer: -10, i, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1022 + -727. What is the third derivative of 3*v**4 + 8*v**6 + v**2 + s*v**3 - 295*v**3 - 12*v wrt v?\nAnswer: 960*v**3 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = -45 + 50 - 252 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 2, b: 10}. Give prob of sequence hhc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60537751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/12 - 11*v**3\/6 + 6*v**2 - 275*v. What is k(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052305 rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342109366 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 49*g**2 - 8*g**2)*(3 - 3*g - 3*g + 3*g) as t*g + l + i*g**3 + y*g**2 and give y.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 687682 equal to 687681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6581\/22 - 298. Find the common denominator of 13\/226 and l.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - 0.84. Let g = -1.2 - b. Is -0.1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 5*g**2 + 25*g + 7. What is z(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 - 1.57. Let q = 2.10000009 + g. What is q rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w**2 + w - 2. Let c(p) = 9*p**3 + 6*p**2 - 42*p - 12. Let s(m) = c(m) - 6*j(m). Factor s(g).\nAnswer: 3*g*(g - 4)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.736655km to meters.\nAnswer: 9736.655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 28*o**2 - 20*o + 201. Let y be p(7). Suppose 13*m - y = 6003. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 6*r - 2*r. Let p(o) = -o**2 + 4*o - 12. Let t(v) = -v + 3. Let d(z) = 3*p(z) + 12*t(z). Calculate g(d(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let s be (27 - 23)*(-762)\/(-8). Let t = s - 379. Solve -t = 2*c - k*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*b + 15, 2*x - 28 + 17 = 3*b. Calculate the least common multiple of (b\/(3\/10))\/(44\/(-264)) and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 4*h**2 + 0*h**2 + 5. Let j be l(5). Let w = 41 + j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqqg when four letters picked without replacement from {p: 1, g: 1, k: 1, x: 4, q: 5}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377317 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (7 - 520\/56). Which is the nearest to 1? (a) p (b) -121 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2. Let u = 2 + -5. Let g be 4\/u*(-1 - 2). Let l(m) = g - 4 - 8*m + 4*m. Give w(l(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*w - 58 = 0, u = -3*w - 24 - 8. Let y = u - -327. Suppose -5*m + 4*v = -744, 6*v = 2*m + v - y. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogggsggaasagggsbag. What is prob of sequence bgsg?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3272008224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpukkppp. Give prob of sequence ju.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 + 2. Let l be 8\/6 - 4\/(-6). Let n be q(l). Let b(o) = o**2 - 6*o + 3. Let f be b(n). Solve 10 = x - f*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2cd02 (base 14) to base 16\nAnswer: -1b6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1086099.905228 - 1.094772. Let q = 1086107.99943 + c. Let d = 7 - q. What is d rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 11 + 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + j**5 - 2*j**5 + (j**3 + j - j)*(-2*j**2 + 3*j**2 - 3*j**2) + 0*j**3 - 2*j**5 + 0*j**3 + 8*j**5 + 7*j**5 + 3*j**5 - 4*j**5 - j**2 + j**2.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*f - 923 = 0, -v - 30 = -f - 214. What is the remainder when 258 is divided by v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 473, 1267, 2389, 3845, 5641?\nAnswer: 7783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -42\/5 (c) -2\/3 (d) 2\/17 (e) 0.3666 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2080327 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -32. Calculate the common denominator of -59\/16 and ((-106)\/b)\/(-2 + (-3)\/(-3)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a - j + 4*j, 26 = 2*a - 5*j. Let d be (-12)\/2 + a\/2. Let f(v) = v**3 + 7*v**2 + 9*v + 13. Let s be f(-6). Sort 4, d, s in descending order.\nAnswer: 4, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 2 = 0. Let t(z) = z**2 + z**2 + z**d + 0*z**2. Let b(w) = -w. Determine b(t(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - 3*t**3 + 337760*t**2 - 337760*t**2.\nAnswer: -3*t**3 - 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*u - 81, 6*u - 83 = -q + u. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58400 = 414*w + 170*w. Calculate the smallest common multiple of 4070 and w.\nAnswer: 40700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136.7 - -143.7. Which is bigger: g or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m + 123*m = -192 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804827.\nAnswer: 89, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494737380 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28835120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1617.84 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 10 - 2*p**2 + 2*p**3 + 21 - p + 3*p**2 - 4*p**4 to l*p**3 + j*p**2 + m*p**4 + q*p + b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:50 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156326, 628497, 1415448, 2517179?\nAnswer: 3933690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3872 and 6677.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3206 by 6.\nAnswer: 1603\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15569995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, 2, 26, 5 in descending order.\nAnswer: 26, 18, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*b + 1410560 = -156*b. Calculate the highest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6*n**4\/13 - 2*n**3\/13 - 10*n**2\/13 + 2*n\/13 + 4\/13 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514992050.\nAnswer: 2, 5, 17, 605873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*f**2*w**3 - 118*f**2*w**2 + 4335*f*w**3 + 2392*f*w**2 - 6*w**3 - 2 wrt w?\nAnswer: 672*f**2 + 26010*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:21 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1290494, -1290485, -1290464, -1290425, -1290362?\nAnswer: -1290269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*887.\nAnswer: 2040.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by ((-2)\/(-3))\/((-156)\/54 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58376\/1767 + 623\/19. Let l = q + 2089\/1302. Calculate the common denominator of -57\/8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(130))\/sqrt(10) - (0 + sqrt(13) + 0)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 756.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**1*z))**(11\/7)\/(((z**(-1\/3)\/z)\/z)\/(z\/(z**(-3\/7)\/z*z)))*((z**1*z*z)**(10\/7))**(-39) assuming z is positive.\nAnswer: z**(-3497\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*u = -55527 + 50046 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -397541, -795083, -1192625, -1590167?\n\"Answer: -397542*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(240\/(-45)))\/(-1*6\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7))**(-48)\/(b**1\/b*b\/(b*b*(b\/(b*((b*b\/b**(-8))\/b)\/b))\/b)*b) assuming b is positive.\nAnswer: b**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-10))\/((-4)\/(-1840)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72580272633 - 3*y - 72580272633 + 0*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + ((sqrt(1872) + 1)**2 - sqrt(1872)))*-1 + -2.\nAnswer: -1875 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 153 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k*u**3 + 2*k*u**2 - 2759*k*u - 220806*u**3 wrt k.\nAnswer: -2*u**3 + 2*u**2 - 2759*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.76 + 2.355. Let f = h - -0.015. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11666836 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p + 15. Let n be z(2). Let t(v) = v**2 + 3*v - 1. Determine t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-1))\/a*a))**(2\/83)\/((a*a**(-5))\/((a**(-2\/7)*a)\/a)) assuming a is positive.\nAnswer: a**(2172\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-2 + -1044). Let f = 42364096\/21 + -2017861. Let v = x + f. Which is the closest to -1? (a) 0 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1150527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 5. Let o be -1 + (-6 - -2)*x. Sort -4, o, 3 in decreasing order.\nAnswer: 3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35640 is divided by 1235.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -66, 4 in descending order.\nAnswer: 4, 3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3.5. What is the closest to -1\/4 in 5, p, -0.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsxxss. Give prob of picking 2 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1758587 = -113*n + 577236. What are the prime factors of n?\nAnswer: 7, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4, 3\/5, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 1 - 6*d**2 + 6*d**2. Let t(x) = 8*x**2 - 4. Let r(j) = t(j) + 5*w(j). Is r(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23626497 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.52 + -0.5. Let j = -1.02 + x. What is the smallest value in 3, -1\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21807878 divided by -10903939?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 385?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32720682949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 6*h**2 - 6*h + 2. Let j(i) = -i**3 - 11*i**2 + 11*i - 3. Give 6*j(u) + 11*r(u).\nAnswer: 5*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/914 and 19510\/(-780) + ((-30)\/26 - -1)?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 1, q: 1, v: 2, m: 2}. Give prob of sequence mqt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0987432121051 and -3?\nAnswer: 2.9012567878949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142647592 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -1?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 6, w: 1, v: 3}. Give prob of picking 1 a and 3 j.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-12)*18\/(-5). Let p = 20 + d. What is the remainder when 22 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vho when three letters picked without replacement from {o: 1, l: 10, n: 6, h: 1, v: 1}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6*x + 5. Let r(p) = 6*p**2 - 3*p + 2. Let u be r(1). What is y(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*v - 47, -3*v = -1 + 4. Let f = u + -17. Solve p - 2*z = -4*z + 3, 4*p + 5*z = f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1172, 3588 in descending order.\nAnswer: 3588, 1172, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-13)\/(-2))*2. Suppose -7 = 6*j - w*j. Solve 2 - j = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-33 - -61) - 65\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15664\/6 - (-23)\/(-759)*22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150830208 and 513?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65351\/18 + -14517\/4. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = c - 27, -3*c = -g - 3 + 2. Let n be (-24)\/15 + g\/(-20). Let z be 2 - 2 - (1 - 2). What is the nearest to n in 4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -9*m + 9. Let g be 3*(-2)\/6*-1. Let a be (2 - -2 - 1)*1. Solve 3*r + m*q - a = 0, -8 = -4*r - q - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1764)\/(-1))\/(-63)*1\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f + 1\/60*f**5 - 1\/24*f**4 - 1\/2*f**3 + 0 + 29*f**2. Suppose 4 - 16 = -3*n. What is z(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(307\/(1519650\/(-180))) - (-470)\/42\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761.941 milligrams to micrograms.\nAnswer: 761941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let s(q) = -8*q + 9. Let d(t) = t - 7. Let y(p) = -d(p) - s(p). What is v(x) - y(x)?\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -7. Let r(u) = u**2 - 2*u - 5. Let z be -1 + -1 - (-36)\/4. Let d(j) = 0 - 11 - 3*j - 2*j + 2*j**2. What is v*d(q) + z*r(q)?\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - r = 36, -20 = -8*r + 3*r. Calculate the lowest common multiple of 2 - (1 + 0 + -7) and (4\/h)\/((-2)\/(-40)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 31*k**7\/70 + k**5\/60 + 256*k**3\/3 - 186*k**2 - 3*k. What is the first derivative of f(v) wrt v?\nAnswer: 372*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*f + 15, 0 = 4*q - f - 34 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1399.\nAnswer: 39172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let g(q) = -1. Let z(a) = -2*g(a) - 2*w(a). Let o(s) be the third derivative of 0*s**3 + 0 - 178*s - 2*s**2 + 2\/3*s**4. Determine o(z(k)).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70 - (0 - (-5 - -1))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ab - 2ed70?\nAnswer: -2e5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -989, -6592, -15931, -29006, -45817, -66364?\n\"Answer: -1868*y**2 + y + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121014241 + -304?\nAnswer: -121014545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plalvllpv. Give prob of sequence vlla.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + -7 - -11) + -5 - (14 + -16)) + 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14979970*l + 2. Let w(g) = 3*g. What is m(w(y))?\nAnswer: 44939910*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1271.5493991 - -1271.495. Let j = a - -0.0543. What is j rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/8223 - 583849\/131568. Let r be ((-1)\/1)\/(165\/54 - 3). Calculate the common denominator of (24 + -1)*(r\/12 - -1) and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -82*i**3 - 5*i**2 + 5. Let z(j) = -123*j**3 - 8*j**2 + 8. Suppose x = 3*n - 5, 6 = 3*x - 4*n + 26. What is x*u(k) + 5*z(k)?\nAnswer: 41*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/4668889 and 99\/3931696.\nAnswer: 74702224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 + g**4\/2 - g**3 + 7*g**2\/2 - 2*g. Is 10 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54762656*o*y - 70*y + 458619 with respect to o.\nAnswer: -54762656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 2854*x + 101274. Calculate l(-36).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = -375. Let w be (z\/4)\/((-2)\/(-64)). Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 + -0.62. Let k = -25\/9 + 37\/9. What is the nearest to -2 in k, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1\/6 - 3\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16609.816 rounded to the nearest 100?\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 222442714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/4))\/x*(x*x**10)\/x*(x\/x**(-1\/2))\/(x\/(x\/(x**(-8)*x))) assuming x is positive.\nAnswer: x**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**7\/14 + 2*q**6\/5 - 3*q**5\/4 + q**4\/2 + 124*q. Let d(b) = 0. What is b?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 14*q - 1000. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 238 + -6. Suppose 4*n - b = -2*m, 2*n - 4*n = -3*m - 108. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 + 15 - ((-1 - -11) + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*((d*d\/((d\/d**(-22))\/d))\/d)\/d*d)))\/(d**29*d))\/(d**16\/d**(-13\/3)) assuming d is positive.\nAnswer: d**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1689 + 1718. What is the second smallest value in -3\/5, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8021634069.8 - 43?\nAnswer: 8021634026.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Suppose -4*x + t + 47 = 0, a*x - 57 + 4 = -5*t. Let s = 41 + -29. What is the greatest common divisor of x and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23840 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 80. Let k(o) = -5*o - 132. Let i(m) = 3*k(m) - 5*y(m). Let u(d) = 3*d - 2. Calculate -2*i(g) - 5*u(g).\nAnswer: -5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 100*j - 1910 + 482 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:19 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -762*a**3 - 16*a - 20*a**4 + 0*a**4 + 4*a**5 + 20*a**2 + 774*a**3.\nAnswer: 4*a*(a - 4)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -t + 4*u, -4*t - 4*u + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5954426?\nAnswer: 2, 2977213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2720 and 306?\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 1. Calculate the remainder when 108 is divided by b(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 14.64581289192.\nAnswer: -15.04581289192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515*s = 323*s + 54250 - 4186 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 9}. Give prob of picking 1 q and 3 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/7 + 59774*q**2\/7 - 59771*q\/7 - 17078.\nAnswer: -(q - 59773)*(q - 2)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 3*y**2 - 2*y**3 + (-y**2 + 4*y**2 - 2*y**2)*(-4*y + 2 + 4*y + 3*y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-15)\/141) + (-2 - -1). Let x(f) = r - 4*f**2 - 46. Let w(i) = 9*i**2. Give x(w(m)).\nAnswer: -324*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3354, -7547, -11740?\n\"Answer: -4193*o + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*j**5 + 25*j**3 + j**2 - 327*j - 29.\nAnswer: 10380*j**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -134 in descending order.\nAnswer: 3, -1, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-352)\/16*(1 + -26). Suppose -t = -0*y - 5*y. Which is smaller: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(1\/3)*(x*x**(-1\/5))\/(x**(-6)*x) assuming x is positive.\nAnswer: x**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.3 (c) 3 (d) -2 (e) 61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75715*t**3 + 84*t**2 - 23612767*t wrt t?\nAnswer: -454290*t + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -185 times 131380\nAnswer: -24305300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let c(m) be the first derivative of -1173*m**2 - 79. Calculate c(f(n)).\nAnswer: 2346*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728928?\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784536204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3010 - 3?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1331a0 + 37?\nAnswer: 133227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 6 - -5) + 11\/(-165)*21. What is the closest to -20\/13 in 0, -1\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 319 + 11. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/20 and 1959\/(-420) - 10\/35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.3 (b) 174634.073 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133562757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hll when three letters picked without replacement from lrlrhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*p - 132 = -234*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/32, 0, 0.08 in decreasing order.\nAnswer: 0.08, 0, -1\/32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 8.\nAnswer: 43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2814 divided by -938\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -296a1 (base 13) in base 11?\nAnswer: -536a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 600 = 336. Suppose 0*s - 4*s + c = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*f**2 + 3615*f\/2 + 456.\nAnswer: -3*(4*f + 1)*(11*f - 304)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.64 + -0.34. Let r = h + 19.7. Let u = r - 28.1. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 1 = -5*a. Suppose c = -q + 12, -a*q + 4*c = -4*q + 3. Find the second derivative of q*o**3 - 2*o**3 - 2*o - 4*o + 6*o**3 wrt o.\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7418 - -7351. Is s <= -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5524 (base 8) to base 10\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-6)*k*k)\/k)\/k)\/(k\/(k*k**(-5)\/k*k))*k\/(k\/k**(1\/7))*k*k*k\/((k\/(k\/k**(6\/7))*k*k*k)\/k)*k)**23 assuming k is positive.\nAnswer: k**(-1403\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56794)\/(-9490) - ((-7273)\/(-455) - 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 27 = 20*r + 17*r. Sort -2, 6, 10, r in decreasing order.\nAnswer: 10, 6, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rra. What is prob of picking 1 r and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4780115628 - -103.\nAnswer: 4780115731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1)*(2 + -1). Let d = 6.2 - 7.2. Which is the closest to q? (a) -4\/5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqeebebbbheeebdbv. What is prob of sequence qbbv?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 24*g**3 + 21 - 33*g + 21*g.\nAnswer: -24*g**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744 - (0\/(-7))\/(-2 + 1) and 6?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/2 + 585*i**3 = 0. Calculate i.\nAnswer: -1170, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 11359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 968218 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*o = o + 25, 0 = 2*o - 10. Which is the closest to -0.1? (a) u (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/10*2\/3. Let a = 2.651 + 0.289. Let v = -0.06 - a. Sort v, r, -0.2 in descending order.\nAnswer: r, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836 and 61264132.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(540)\/sqrt(9) + sqrt(540)*-3)\/((sqrt(24) + (sqrt(24) - sqrt(72)\/sqrt(3))*5 + sqrt(24))\/(2*sqrt(2)*2 + sqrt(2))).\nAnswer: -25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 4:25 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -399*a**2 - 3. Let c(m) be the first derivative of m**3 + 12249. Determine n(c(z)).\nAnswer: -3591*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 129. Suppose v*q - 9*q + 30 = 0. Solve -q = -2*i - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34343 or -739?\nAnswer: 34343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 336 - 240. Let f(i) = 2*i**2 + 8. Let u be f(-6). Calculate the highest common factor of x and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 - 2*s**2 + 2*s. Let x(v) = -v**3 + v**2 - v. Suppose 2*y = -1 + 3. Suppose -b - 2*b = 0. Suppose -p + b*p + 2 = 0. Calculate p*x(n) + y*z(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62.3 - 62. What is the second biggest value in 2, z, 0.15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -159, -676, -1555, -2808, -4447, -6484, -8931, -11800?\n\"Answer: -2*p**3 - 169*p**2 + 4*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14833583, -29667167, -44500753, -59334341, -74167931, -89001523, -103835117?\nAnswer: -118668713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28689.\nAnswer: 3, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**6)\/((c*c**5*c)\/c)*c**(-2\/13)\/c**(-4\/7) assuming c is positive.\nAnswer: c**(-963\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/153900 and -26\/2025.\nAnswer: 153900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 times -0.5?\nAnswer: -1105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -826092 divided by 30596?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110213010 - -1030?\nAnswer: -110211320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 689 - 683. Suppose -105 + 93 = -o*a. Suppose 0 = -4*r + p, 3*r + 2*p - 7*p = 0. Put -4, a, r in decreasing order.\nAnswer: a, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572671?\nAnswer: 23, 101, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77275 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**4\/12 + 2*t**3\/3 - 3*t**2 + 20*t. Let p be c(4). Which is smaller: 27 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -52736064.\nAnswer: 1\/17578688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2*(-9)\/(-12)). Solve -h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4 + 3*c**3 - 25*c**2 - 39*c + 180 = 0.\nAnswer: -5, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1551894*l*v*z**2 - 6*v*z**2 - 98336*v*z - v wrt l.\nAnswer: 1551894*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 619, -41, -1401, -3455, -6197, -9621, -13721, -18491?\n\"Answer: z**3 - 356*z**2 + 401*z + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:56 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 5}. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/11)\/(3 - 4). Is 7 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127684807 rounded to six decimal places?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1\/9 (c) 0.1881 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by 7?\nAnswer: -219\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (798\/570)\/((-2)\/(-4)*-2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47259961?\nAnswer: 7, 271, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 85 - 141 = 0. Let o = g - -208. Suppose 0 = -6*a + 199 + o. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -4\/13 (c) 85 (d) -15\/313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 1. What is the tens digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102625885 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 3 - 6*l - 2*l**4 + 4*l**2 - 2*l**3 - l**4 + l**4 in the form j*l**2 + k*l + z*l**3 + c + x*l**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(605) - (sqrt(300)\/sqrt(5))\/sqrt(12).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 513*w\/4 - 1295\/2.\nAnswer: (w - 5)*(w + 518)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 1 + 11. Let t(m) = 3*m**2 + 5*m. Let q be t(u). Let d = q - -27. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u + 1 + 0*u)*(17 + 2*u + 134 + 15).\nAnswer: 2*u**2 + 168*u + 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.738 * 3136\nAnswer: -5450.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 498, -2.58, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 149*a**2 + 538*a - 621. Give t(-78).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, 0, -2\/37?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -101, 0, -4, -0.5 in increasing order.\nAnswer: -101, -4, -0.5, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/54 - 52\/(-9). Suppose -4*j + q = -14. Let a(z) = z**3 - 4*z**2 - 5*z. Let u be a(j). Is u at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22610, -23426, -24240, -25052?\nAnswer: -25862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (395\/(-237))\/(1\/(-3)). What is the greatest common divisor of 155 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dddtdddd?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (19 + -15)) + 5 - -12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Suppose -2*g - 4*u + 6 = 0, k*g - 3*u = 8*g + 3. Let t be 3\/15*(0 + g). Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y. Let h(v) be the first derivative of 25*v**3\/3 + 43. Determine f(h(n)).\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**3 + 50780*m**2 + 180450*m wrt m.\nAnswer: -12*m + 101560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989652?\nAnswer: 2, 109, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 2*o + 33. What is the remainder when x(0) is divided by (1 - -1) + 15*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/9872 (b) -2\/7 (c) 1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21806.26 years in months?\nAnswer: 261675.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (5 + (-24)\/6). Let m be (99\/18 - 5)\/(-2 + 1). Which is the third biggest value? (a) m (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2. Let q be f(4). Suppose -n + q = -12. Suppose -5*d - 5*m + 30 = 0, 0*m = -3*m - n. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - 154?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 193 = 4*a - 25403, 5*n = 10. What are the prime factors of a?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*f - 1 = -105*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 + 4*s**2 + 6*s. Let c(q) = -q**2 + 14*q + 11. Let z be c(13). Suppose z = 6*r - 2*r. Let y(n) = 9*n**3 + 9*n**2 + 13*n. Give r*y(i) - 13*g(i).\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.7. Let o = 2 - 2.07. Let f = o + 4.07. Which is the third biggest value? (a) 2 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 3*s**4\/20 + 6*s**3\/5 + 18*s**2\/5 + 24*s\/5 + 8. Factor h(o).\nAnswer: 3*(o + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.41*-0.3\nAnswer: -0.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (19 + -30) - 4) + 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1546 - 0.2169096.\nAnswer: 0.9376904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 21*r + 38*r + 70 = 20*k, 4*k + 15 = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*w**4 + 762*w**2 + 28*w + 0*w**3 + 2*w**3 - 762*w**2 as f*w**3 + s*w + y*w**4 + n + b*w**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcyccmyxyyczd. What is prob of sequence cyd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/(q**(-1\/14)*q*q))\/q)\/q)*q*q**(-2\/17))\/(q\/(q**(-1)*q*q))**(2\/5) assuming q is positive.\nAnswer: q**(1145\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 23*n + 145. Give r(-6).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25591 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z + 4. Let b be v(-2). Put b, 4, -4 in ascending order.\nAnswer: b, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-3 - -6)*6. Let q = 19 - h. Solve r + q = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 16*z + 7 = 3*v, 31 = 3*v + 4*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4589 - 2*m**2 + 4*m + 9150 - 4585. Let z(x) = -x**2 + 3*x - 23. Determine 3*i(w) - 4*z(w).\nAnswer: -2*w**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887 = 234*s - 2525 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444593 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 724 + -394. Is 66 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 5, i: 3, e: 5, p: 1, s: 5}?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915558?\nAnswer: 2, 3, 7, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 132723 at most 132828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*t - 337*t + 63 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from gdggsggsps.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -37, -36, -35, -34, -33?\n\"Answer: g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 3:28 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5112088 and 25.\nAnswer: 127802200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 43*y - 20. Let z(p) = -38*p + 15. Let t(q) = -5*s(q) - 6*z(q). Let v(m) = -m**2. Give t(v(h)).\nAnswer: -13*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/32)\/((-1)\/172)*(-48)\/48.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - (-12)\/9. Let l = 200534759\/143 - 1402335. Let u = l - 64\/11. Which is the third smallest value? (a) v (b) u (c) -2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1008481*b**3 + 402489*b**2 wrt b?\nAnswer: -6050886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(2*-1))\/((-2)\/(-5)). Suppose 3*t + 4*s - 33 = 0, x*s = -4*t + 45 - 2. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 31. What is c(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.759 (b) -4\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789398582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359 is divided by 333.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 - 153. Suppose 5*u - 20 = 0, -4*y + 4*u = -7*y + 22. Solve -y*x = 3*x + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -50419?\nAnswer: -151257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 10. Let x be z(-5). Let t = x - -33. Solve t = v - 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 0 - 2)*(1 + o - 1)*((1 - 2*o - 1)*(5*o**2 - 4*o**2 - 3*o**2) - 3*o**3 - 2*o**3 + 6*o**3).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2136 and 11214?\nAnswer: 44856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/13)*c)\/c*c\/(c**(17\/2)*c))\/(c*c\/((c*c**(-2\/31))\/c)*c)**(-19\/5))**(-46) assuming c is positive.\nAnswer: c**(-73991\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -0.2, 1791?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241452 and 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*v = -78, -2*v + 36 = 5*n - 3*n. Let l(o) = 10*o. Let h(y) = 3*y. Let w(i) = n*h(i) - 4*l(i). Let b(g) = -g**2. Calculate b(w(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -43\/3. Let j be -1 + 5 - (0 - -1). Let l(k) = -2*k + 1. Let o be l(j). Which is the third biggest value? (a) o (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - j + 0 + (3 - 3 - 2)*(-2*j + 4 - 4) - j + j - j)*(-225*j - 184*j + 507*j).\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1)\/(3\/15). Suppose 5*u = -5*r + 45, -3*r = n*u + r - 50. List the prime factors of 6\/21 - (-66)\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3287*l + 3965*l + 20340 = 0 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-2\/7)\/m)\/m)**27)**35 assuming m is positive.\nAnswer: m**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.022 and 1482.537?\nAnswer: 1482.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 399\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -34*q - 5. Let l be a(-2). Suppose 4*b = -4 + 40. What is the greatest common factor of l and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) 5\/102 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301000 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Let f = 0.2 + -0.2. Let o = h - f. What is the second biggest value in -4, -2\/5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 - 12*n**3 + 26*n**3 - 16*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -4*q + 192, -5*q = -3*y - 253. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q - 1 + 1)*(-4 + 3 + 5)*(-4*q + 6*q + 5*q) to the form f*q + d + k*q**2 and give k.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from {a: 1, r: 3, c: 2, b: 6, i: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -450 + 815\/2. Let s = 13 - 1. Calculate the common denominator of m and (-470)\/s - 1\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3718.1 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1218 = 5*d. List the prime factors of d.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, 0.7 in decreasing order.\nAnswer: 1, 0.7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(4\/48). Let l(n) be the second derivative of -n**3\/3 + n**2\/2 + 8*n. Let k(r) = -2*r + 1. Calculate i*k(t) + 3*l(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22566*c - 653931. What is x(-29)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, g: 2, w: 4}. Give prob of picking 1 o and 2 w.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 34 - 9. Let n = -3 + b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - -2. Suppose -5491*m = -1147*m + 8688. Which is the closest to z? (a) -5 (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-54)*27\/(-42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91997858 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 52 = -136. Calculate the highest common divisor of 147 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 197 - 195 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3121 or 768?\nAnswer: 3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5118, 16042, 34248, 59736?\n\"Answer: 3641*u**2 + u + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7072 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*((g**(4\/9)\/g)\/g)\/g*g))\/g**(2\/45)*(g\/g**(-3\/7))**(-16) assuming g is positive.\nAnswer: g**(-6724\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)*z*z*z**2)**(-2\/5)\/((z\/z**(1\/2))**(-26)\/(z*(z**(1\/4)\/z)\/z*z**(-7))) assuming z is positive.\nAnswer: z**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6999 - 235*g - 6996 + 234*g + 13995.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11966171 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from kroezkrkro.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 98 = -3*z, 3*v = 2*v + 2*z - 101. Let n = v + 112. Solve n*o = 2*p + 25, 0*p = 3*o - 2*p - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2314*j**5 + 657*j**5 + 431*j**5)*(-3 + 4 - 2).\nAnswer: -3402*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, 9, 2 in decreasing order.\nAnswer: 9, 2.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71322264 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.2. What is the smallest value in i, 5, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:51 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -49 + -114 + 24 + 0?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + o + 39*w = -70, -1224*o + 14 = -1220*o + w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + -6*(-39)\/(-48) + -2 and -77\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 2. Let c(f) = f**2 - 3*f - 3. Let u be c(5). Let m be l(u). Calculate the common denominator of -49\/74 and 254\/(-60) - 3\/m.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, 29\/25, -25, -6?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:48 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deededeeeddeeeee. Give prob of picking 2 d and 2 e.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k*k*k*((k*k**0)\/k)\/k)\/((k*k**(-1\/2)*k)\/(k**19\/k*k)) assuming k is positive.\nAnswer: k**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**2. Let d(a) = 24*a. Let n(s) = -s. Let g = 97 - 169. Let m be ((140\/16)\/(-7))\/(3\/g). Let p(j) = m*n(j) + d(j). Determine h(p(z)).\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {a: 3, o: 3, y: 1, n: 3, d: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 233689 (base 11) in base 16?\nAnswer: 5a899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = -3*o. What is the lowest common multiple of 12 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (448\/(-160))\/((-2)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 5, 48 in decreasing order.\nAnswer: 48, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144757\/13 - 11135. Let t = -7 - -7.5. Which is the closest to 2\/9? (a) 1\/4 (b) z (c) 3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 480*t**2. Let n(u) = -54*u - 10. Let f(y) = -33*y - 6. Let k(c) = 5*f(c) - 3*n(c). Determine k(j(r)).\nAnswer: -1440*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 3802083?\nAnswer: 3802077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(14)\/sqrt(2)))\/sqrt(1296).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 44*v - 31 = -284. Let u(c) = c**3 + 11*c**2 + c - 23. What is u(v)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*g + 2, 2*g + 2 + 6 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0976 less than -145053.8?\nAnswer: -145053.7024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*s + 15*s + 9*s - 2 + 106 = -28, 43 = -3*n - 4*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvbvvbvvvvvbv. Give prob of sequence vvbb.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**13*w)\/((w*w*w**(-16)\/w)\/w))\/((w**(-14)*w*w)\/(w**(-15)*w)))**(-32\/7) assuming w is positive.\nAnswer: w**(-928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 83*f + 4860. Let l be k(-57). Solve -l*y + 9 = -120*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*s - s - 19 = 0, -17 = -3*r + 2*s. Suppose -r*j = -j. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -0.21. Let y = x - 0.75. What is y rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125, -271, -443, -653, -913?\n\"Answer: -2*x**3 - x**2 - 129*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -4200402?\nAnswer: 4200402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 6\/7, 0.4, -1\/3, 0.052?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 59808815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002353793 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -293652*m - 50. Let w be t(-8). Let n = -920834 - w. Round n to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21156 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3\/4))\/(d*d\/d**(1\/10)))\/(d**1\/d)**(-1\/4))**14 assuming d is positive.\nAnswer: d**(-231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -69. Let o = 8326810.999996 - 8326830. Let h = o - l. Round h to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33487270 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 10*j + 21. Let g be k(-3). Factor 40 + 2*a + 12*a**2 + 13*a**2 + g*a**2 - 44*a**2 + a.\nAnswer: -(a - 8)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218*u - 323*u = 44750 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 129.8 times 0.6\nAnswer: 77.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.3 and 6737.83.\nAnswer: 116564.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55622 is divided by 11116?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 106.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*z - 15. Let k = z - 5. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10290, -41125, -92518, -164469, -256978?\n\"Answer: -10279*v**2 + 2*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {c: 1, x: 4, j: 4, w: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*m + 8 = -5, 4*m = -4*a + 8. Calculate the remainder when 23 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950 divided by -38.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 16840*y - 50565.\nAnswer: 5*(y - 3)*(y + 3371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 13*k**2 + 4*k - 19. Give s(-13).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 4. Let s = 12 - 23. Which is bigger: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218 = 26*f - 120*f + 286 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93686.\nAnswer: 2, 139, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.43 + 31.43. Sort 1, g, 0.3, 22.\nAnswer: g, 0.3, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose -5 = -2*o + v*o. Suppose -7*p + 5*p = -24. Sort o, p, -4.\nAnswer: o, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, -5, -3, 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 - 2*m**2 - m. Let c be w(2). Let a(x) = 2*x**2 + 150*x + 1306. Let v be a(-65). What is the highest common factor of c and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/4, -2\/35, 76238?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 675*n. Let w(l) be the second derivative of -l**3\/6 - 11*l + 73. Calculate u(w(d)).\nAnswer: -675*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = 2*i + 13. Which is the third smallest value? (a) i (b) 0.6 (c) -230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*x - 8*x - 20, 2*x = 2*t. Let d be 4624\/32*-1*x\/10. Let h = d - 57. Is h not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**6\/3 + 4*t**5\/5 + 2*t**4 - 8*t**3\/3 - 2*t**2 + 4*t + 33. Suppose y(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 6. Suppose 0*l = d*l. Solve 2*g + l*h = -5*h - 25, 5 = -5*g - h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from {f: 6, k: 1, d: 3, r: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010211112 + -1?\nAnswer: -122010211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 + (-32)\/(-3))\/(2\/3). Let r(x) = -287*x**2 + x - 1. Let p be r(i). Is p greater than -286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 279, 278, 277, 276?\n\"Answer: -t + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -605576*v + 605576*v + 6*v**2. Let a(y) = -13*y - 4. What is a(s(x))?\nAnswer: -78*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 864, -3, -1\/4, 2, -2\/7, -0.14, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.1, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 244, 586, 928, 1270, 1612, 1954?\n\"Answer: 342*b - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, -1, -248, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*20.4\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = c - 3376, -4*c = -305*h + 308*h - 13494. List the prime factors of c.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/9 - 1892*w**2 - 3733576*w\/9.\nAnswer: 4*w*(w - 4466)*(w + 209)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -12084135 divided by 287.\nAnswer: -42105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*x**2 - 2*x**3 + 47*x**2 + 55*x**2.\nAnswer: -2*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - 1 - (-42 - -44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13036 + -13041. Put 0.07, -0.02, -4, -3, a in increasing order.\nAnswer: a, -4, -3, -0.02, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/150 and 82\/165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*l - 42 = -18, -2 = 4*o - 2*l. Let d = 0.0988 + -0.0388. What is the nearest to d in 5, 0, o, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127a (base 14) in base 16?\nAnswer: a2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 83*t**2 + 268*t - 15. Determine s(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -12. Let j(h) = h**2 + 6*h + 6. Let q be j(-4). Let v(c) = c**3 + 3*c**2 - 1. Let b be v(q). What is the nearest to 0 in n, b, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 3299, -5, 4 in ascending order.\nAnswer: -5, 2, 4, 6, 3299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -21?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j + 111. Calculate a(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18.254 + -16298356\nAnswer: -16298337.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176352 times 2?\nAnswer: 352704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 262, 268, 274, 280, 286, 292?\n\"Answer: 6*b + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from xxkflll?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 823642.\nAnswer: 2470926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 - 35*s + 179. List the prime factors of j(5).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-218*(-3)\/(-9))\/((-5)\/(-15)). Let l = -48 - g. Suppose 3*h + l = 8*h. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.4 (b) -1\/2 (c) -2\/13 (d) -0.3 (e) -0.143\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-22)*(-4 - (3 - 1)*-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 257*r - 243*r. Calculate the remainder when 94 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8927035 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -32 + 8. Suppose -2*n + 198 = o*n. Suppose -8*d + n = -47. Solve -d = -2*w, -2*w + 7*w = b + 26 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 - 5 = 0. Put -1\/4, -12, g in decreasing order.\nAnswer: -1\/4, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262*o + 6 - 6 + 356*o to the form v + y*o and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (-9 - 10))*((-20)\/(-70) - (-248)\/(-770))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-30))\/((-25)\/(-75)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -35, -51, -67?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 6 + 2*c - 3*c)*(95*c - 46*c - 2 - 50*c).\nAnswer: c**2 - 17*c - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 4450*r**2 - 4177*r**2 - 15 + 3 + 1.\nAnswer: 273*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, 5, 112, 2374 in decreasing order.\nAnswer: 2374, 112, 5, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 23321 and 1.46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 75*a**4 + 6*a**3 + 1023*a + 6. Let q(w) = w**4 - w**3 + w - 1. Let n(v) = -6*q(v) - t(v). Find the second derivative of n(j) wrt j.\nAnswer: -972*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7363*v**3 + 3 - 1 + 2*v**2 + 14715*v**3 - 7301*v**3. Let c(y) = 50*y**3 + 3*y**2 + 3. Give -2*c(q) + 3*u(q).\nAnswer: 53*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 96. Is 6 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 67739 + 3*n + 67739. Let j(c) = -2*c - 41*c - 32*c. What is q(j(v))?\nAnswer: -150*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u + 17. Let g be i(0). What is the greatest common divisor of 85 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9276.069t to grams.\nAnswer: 9276069000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 3*s = -32*q, 0 = 2*q - s - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 1220?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 66 = 0, 8*a + 14 = -37*i + 38*i - 19 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3891366260 and 8.\nAnswer: 3891366268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let c = 38 + -38. Suppose -3*b + 1 - 1 = c. Which is greater: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -7*h**5\/15 + h**4\/12 - h**3\/6 + h**2 + 105*h. Give l(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {j: 1, a: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 3. Let q(i) = -2*i + 6. Let c(z) = -4*q(z) - 9*t(z). What is c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 1, -0.4, 4\/7 in descending order.\nAnswer: 1, 4\/7, 2\/23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2)*9\/(-6). Let t be (-1)\/(-2) - m\/2. Solve t*s + 2*a + 8 = -2*s, 0 = -3*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1096 and 16?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20410, -40319, -59734, -78655, -97082?\n\"Answer: 247*c**2 - 20650*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 1605*q - 9450.\nAnswer: -5*(q - 315)*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 28*h**3 + 10*h**2 - 25*h + 1. Let s be k(7). Is ((-6)\/4)\/(3\/(-6)) + s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-8115)\/(-4))\/5)\/((816\/(-3712))\/(-17))?\nAnswer: 2, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 9*f = 6*f + 171. Solve 5*a - 16*k - 35 = -21*k, -3*a = -k - f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*h + 1149*h + 11*h to g + o*h and give o.\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i - 7*i**3 + 0*i**3 + 21*i**2 - 3*i**3 - 4. Let u(q) = 2*q**3 - 4*q**2 - 2*q + 1. Let p(n) = 2*l(n) + 11*u(n). What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**1*f*f*f))**(15\/4))**(3\/8) assuming f is positive.\nAnswer: f**(-135\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 657678 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3626)\/824915)\/(5\/(-65)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*s + 884 = -1015 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 25482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 - -1.2. Let z = -2.2 + 5.9. Let l = i - z. Which is the second smallest value? (a) -1\/2 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/19 and 1\/152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -26495 at least -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/77)\/((-4)\/(-14)) - -333. Let z = h + 266. What are the prime factors of z?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -14 + 11 + -35 + 24 + 15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:20 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50708462.\nAnswer: 2, 7, 89, 40697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21*((-4)\/(-6))\/(-1). Suppose -2 - 2 = -2*c + 2*i, 5*c - g = i. Solve 0 = -c*f + 5*x + 6 + 11, 0 = -4*x - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6120 and 137\/450.\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133\/4 + -923\/28. Let f = 353.1 + -353. Which is the second smallest value? (a) 2 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 5. Let s(n) = -1. Determine m(q) - 5*s(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1530 = 219*i - 236*i. What is the smallest common multiple of i and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 460042401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - -5) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(3\/12) - -28. Suppose -4*t + r + 34 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.477496567 to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*x + 5699 + 4940 = -3466 + 4648 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 (base 13) in base 14?\nAnswer: 7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8 and 71\/23798.\nAnswer: 95192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - ((10 - 43) + 11)) + (-15 - 0) + 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -21. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.5393362 to 0 decimal places.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6 + 3. Solve x = -2*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -88, -1, 803 in descending order.\nAnswer: 803, -1, -70, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, r: 3}. Give prob of sequence oro.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22168587, -44337182, -66505777, -88674372, -110842967?\n\"Answer: -22168595*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 23770*u**3 + 3*u**2 - 27*u. Let a(c) = -23769*c**3 - 2*c**2 + 18*c. Give 3*a(n) + 2*f(n).\nAnswer: -23767*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*f - 2909643 = 0, -98*f + 99*f = -4. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1558 and -103\/190.\nAnswer: 7790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43787\/45 + -973. Suppose 2*b + 456 = 5*h, 4*b + 381 = 3*h + 113. Let z = h - 93. Which is bigger: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50553.48l in millilitres?\nAnswer: 50553480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-6)\/87). Let q = j + -92\/15. Let z = -1.6 - -1.3. Which is the smallest value? (a) z (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24090510 * -4.\nAnswer: -96362040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(n + n - 3*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 7\/20*a**5 + 10*a**2 - 19*a + 0*a**3 + 1\/12*a**4 + 0. Differentiate s(k) with respect to k.\nAnswer: 21*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25834094977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0*v**3 - v + 0 + 1\/4*v**4 + v**2. Differentiate y(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9614640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q - 32*q + 54. Solve q*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20)\/((-1)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7200 - 7192. Let b = 1 - 4. Put 2\/9, b, k in ascending order.\nAnswer: b, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -28 - (-11 + 1 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 5*j = 110, -p = 3008*j - 3010*j + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -5 + sqrt(343) + -2 + sqrt(343) + -1)**2.\nAnswer: -1388 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 594*a**2 + 42*a + 11. Is t(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(12\/141)*-2?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9765 and 125643?\nAnswer: 1884645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784163931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250056 and 38778.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 20*d + 38. Give l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 2*h**6\/315 + h**5\/70 + 65*h**3\/6 + 43*h**2. Let o(f) be the first derivative of s(f). Solve o(n) = 0 for n.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*w = 12, 2*p - 5*w - 1534 = -1547 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 5 + 91*y**2.\nAnswer: 91*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 27 = -2*c, -4*x + 2*x = c - 12. Let z = c + 0. Suppose -a = -3*s + 22, -3*s + 2*a = z*a - 17. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**6\/80 + 21*s**5\/4 + 211*s**4\/16 + 166*s**2 + 15. Factor z(q).\nAnswer: -3*q*(q - 211)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/3 - 12*b**3 - 572*b**2\/3 + 5376*b + 200704\/3 = 0. Calculate b.\nAnswer: -14, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -3.\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 95*y + 11267. Give d(-119).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, p: 4, a: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*c**2 - 3 + 132*c**2 + 26*c**2 + (5*c**2 - c**2 - 3*c**2)*(-3 + 8 - 3) + 4*c**2 - 4*c**2 + c**2 in the form o + m*c**2 + v*c and give m.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 337*v**4\/6 + v**3\/3 + 874*v + 5. Let o(u) = -8*u. Give o(f(s)).\nAnswer: -5392*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0 + -4)\/(-15). Let x(b) = b**3 + 4*b**2 + 2*b. Let w be x(-3). Let f = 3 - w. What is the second biggest value in 0.3, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -7)*1\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3323615*t**3 - 1661776*t**3 - 1661828*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/7931916 and -155\/140130516?\nAnswer: 420391548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*s - 80, -4*s + 51 = q - 109. Let n = s + -41. What is the closest to 1 in 0, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qqqvqqvvqqvvq.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = 6. Let c be (89\/(-2))\/(75\/50)*3\/(-1). Suppose -21 = z*i + c. Do -55 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/585 or 0?\nAnswer: 7\/585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-557948.1\nAnswer: -557947.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*124\/(-248)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2 + 56*r - 374 = 0.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 436985\/(-405) + (-1 - 0). Let b = -1080 - m. Let j = -749\/810 - b. What is the common denominator of 27\/10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/10 + s**4\/6 + s**3\/6 - 3*s. Let p(a) = -a**3 + a. Let k = 1415 + -1414. Calculate k*u(o) + p(o).\nAnswer: o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (4 + sqrt(98)*-3 - sqrt(98)) - sqrt(98)) + -6*(sqrt(98) + -2) + 6*(sqrt(98) + sqrt(98)*-1 + 5 + sqrt(98)) + -1)**2.\nAnswer: 2072*sqrt(2) + 2937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 2:59 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 26, 7, -30, -91?\n\"Answer: -u**3 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3116 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-21) - 14\/24. Let m = -5.2 - -0.2. What is the biggest value in r, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 105*y + 2801. What is b(-127)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9957 divided by -1\nAnswer: 9957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1291*c - 64. Let o(l) = -258*l - 13. Let n(b) = -2*h(b) + 11*o(b). Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 171*b - 176*b. Solve -7*x + 8*x - b = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q + 23*q + 16*q**3 - 3 - 36*q)*(-3 + 2 - 1).\nAnswer: -32*q**3 - 4*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0*o**2 - 2*o + 0 - 1\/6*o**3. List the prime factors of k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgmegccec. What is prob of sequence ce?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 21*k**2 + 15*k + 47. Let n(m) = -3*m**3 - 44*m**2 - 31*m - 95. Let t(r) = 2*n(r) + 5*u(r). What are the prime factors of t(16)?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 122*k**2 - 13*k - 703. Is o(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-285)\/(-133))*(-21)\/9. Determine q, given that -3\/2*q**u - 75\/2 + 15*q = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 642305, 1284833, 1927361, 2569889?\nAnswer: 3212417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6668 + -5495. Calculate the highest common divisor of z and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 29. Suppose -f*q - 1941 = -k - 446, -605 = 2*q + k. Round q to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*o**2 + 6*o - 8*o - o + o.\nAnswer: -246*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3040 and 40.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 6:46 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82242 and 6092.\nAnswer: 164484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 66. Let n = o + -34. What is the third biggest value in -4, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:01 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(104) - (sqrt(104) - (-2*sqrt(104) + sqrt(104))) - sqrt(104))*-2)\/(2*sqrt(32)\/sqrt(4)*3))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.96 - -0.04. Let t = 50 - 399\/8. What is the nearest to 1 in r, t, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.65797 - -9.618. Round c to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**3*m*m**(3\/2))\/((((((m\/m**(-4))\/m)\/m)\/m)\/m*m)\/((m**0\/m*m)\/m))*(m**(-2\/3)*m*m\/m**3)\/(m**(1\/2))**(1\/73) assuming m is positive.\nAnswer: m**(-914\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2084018835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10249 (base 10) to base 12.\nAnswer: -5b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 53*o - 24. Let v be d(10). Let j = -1813 - v. What is j rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111343\/126 - 6141\/7. Let u = 7547\/8 - 943. Find the common denominator of u and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**2 - 2*m**2)*(0*m + 2*m + m)*(2 + 1 + 0).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26136*k - 21505*k + 8988*k + 231*k - 12.\nAnswer: -38422*k - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*z + 22 = -149, 4*k + z = 357. Let p = k + -74. Suppose 5*j + 5*a = p + 9, 4*j + 5*a - 20 = 0. Solve -5*d = j*s - 6 + 21, -2*s = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(25\/90))\/(18\/1440). Calculate the highest common factor of 324 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 8*f + 8. List the prime factors of c(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489730 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2915 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a89 (base 11) in base 3?\nAnswer: 12110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 407008445 rounded to the nearest one million?\nAnswer: 407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1401 = 27*a - 31*a, 4 = -4*r. What is the remainder when a is divided by 135?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 8:24 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*5 - 0)*21*(-94)\/(-987)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - 7fd?\nAnswer: -7cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 6*j - 5. Let s be z(-6). Let i = 6 - s. Let q = i + -8. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**7\/8820 - i**6\/630 - 8*i**5\/105 - 17*i**4\/4 - 130*i**2. Let x(d) be the second derivative of v(d). Factor x(c).\nAnswer: 2*(c - 8)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let y(p) = -15*p + 3*p**2 + 3*p**2 + 15*p. What is y(u(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402 and 20301?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 823 - 813. Let v = 4 - 2. What is the derivative of 5*d - v*d + 2*d - d + k wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*2*(-6)\/(-15). Is ((-6)\/a - -1)*-238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 52*l**2 - 92*l - 44.\nAnswer: -4*(l + 1)**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/17172 and 31\/12137.\nAnswer: 3932388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.28 * 3\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 611*c**2 - c - 1217*c**2 - 4*c + 623*c**2. Let d(n) = -16*n**2 + 6*n. What is -5*d(u) - 6*s(u)?\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 54*g - 44. Let u be q(22). Let s = -942 - u. Calculate the greatest common factor of s and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1208171 or 1?\nAnswer: -1\/1208171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*sqrt(50) - sqrt(50))**2 - (-4 + 2*sqrt(2) - sqrt(2))) + -3*sqrt(98) + (0 + sqrt(72))**2 + -3.\nAnswer: -22*sqrt(2) + 872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 31*w**2 - 116524*w - 18795 = 0. Calculate w.\nAnswer: -5\/31, 3759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.88099801 to 3 decimal places.\nAnswer: 1.881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, 1296, 3827, 7392, 11997, 17648, 24351, 32112?\nAnswer: 40937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 4. Let h be 0\/3 - -4*(2 + 1). Let j(f) = 12*f**3 - 13*f**3 + 11*f + 8 + f + h*f**2. Let x be j(13). Give c(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 - 2*u - 4. Let t be l(4). Suppose n - 5*r = -t, 0*n + 52 = 4*n - 3*r. What is the lowest common multiple of 10 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.2 * -17.\nAnswer: -88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -840289 (base 12) in base 13?\nAnswer: -57801c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * -0.018\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 459*c**4 + 4266*c**3 - 24516*c**2 - 351864*c - 909792.\nAnswer: -(c - 468)*(c - 9)*(c + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m**2 + 6*m**2 - 4*m**2)*(-10 - 3*m + 10) - m**3 + 6*m**3 + 0*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001195 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 65*s - 274. Let g be i(4). Let a be ((-3)\/2)\/(2\/(-4)). Suppose 2*w - 2*u + 0*u = g, 5*u - 91 = -a*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73.0054 and 8.1.\nAnswer: 591.34374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 251910*u + 6045815. Determine t(-24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -6, -1, -0.1, 5 in increasing order.\nAnswer: -6, -1, -0.1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -73\/5*l**2 - 10571\/5 - 1643\/5*l - 1\/5*l**3 = 0.\nAnswer: -31, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236*p**3*t**2 + 2*p**3 - 5305*p*t**2 - 494561*p*t wrt t.\nAnswer: 472*p**3 - 10610*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l**5 + 24*l**4 + 88*l**3 - 108*l**2 - 270*l - 108 = 0. What is l?\nAnswer: -2, -1, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3\/208 (c) -939304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/28 and (-24)\/(-240)*(-432)\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 8*c - 4. Let j(n) = -n**2 + 2*n + 1. Let f(d) = -4*j(d) - l(d). Let z(x) = 6*x + 3 - 3. Determine z(f(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12816063.65000108 + 12816064. Let q = -0.35 + r. What is q rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 4039*w**6\/120 - w**5\/10 + 5*w**4\/24 - 11*w**3\/6 - 390*w**2 + 3*w. What is the third derivative of s(m) wrt m?\nAnswer: 24234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose -2*v - 8*g - 30 = -3*g, g - 6 = z*v. Sort 3, v, -1 in descending order.\nAnswer: 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -3 (c) -14387 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1\/4, 2\/113, -2\/179 in ascending order.\nAnswer: -1\/4, -2\/179, 0, 2\/113, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = 16. Let z = -15 - s. Sort 0, z, 5 in descending order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230036312687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247057?\nAnswer: 19, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3446 and 896?\nAnswer: 1543808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 856 - 860. Let c = -106 - -120. What is the closest to c in -2, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56707, 453694, 1531219, 3629548, 7088947, 12249682?\n\"Answer: 56711*h**3 + 3*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178370 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55, 1\/2, -1\/6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let l = 3 - c. Suppose 0 = 5*p + h - 8, l = h - 3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/22 - 1876\/(-154). Let w = -7 + t. Suppose d + 3 = 4*b, 3*b - 5*b = -2*d + 6. Solve i = 3*z - 2 - 0, -b*i + w*z - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 44*i - 14. Calculate j(3).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from {l: 1, j: 1, a: 3, f: 4, b: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/17, 0.14, -4, 1\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*a + 20 = 0, 5*q - 10*q = 3*a + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101 + 20102?\nAnswer: 202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162349?\nAnswer: 11, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -0.3, 4 in descending order.\nAnswer: 4, 0.13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249\/5 - -50. Let b be (-2)\/3 + 51\/9. Suppose 3 = 4*q - b*q. Put q, -2, w in ascending order.\nAnswer: q, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/9)*o*o)\/o*o)\/o**(1\/3))\/(o**(-2\/7)*o\/(o\/(o**(-2\/21)*o))*o) assuming o is positive.\nAnswer: o**(80\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3309\/12133)\/(8\/((-1280)\/12)).\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 139. Let k = a - 39.7. Let d = k - 2.322. Round d to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2115*p. Let a(f) = 157170*f. What is a(j(x))?\nAnswer: -332414550*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 1 + 4*h - 2)*(0 + 3*h + 0 + (4 - 2 - 3)*(-3*h - 4*h + 5*h) + 0*h + 2*h + 0*h).\nAnswer: 14*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -136*i + 829. Let s be r(6). Solve 2*d + 8*h - 10 = s*h, -4*d + 20 = -2*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*f**4 - 2*f**3 + 30*f + 3.\nAnswer: 468*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 163140\/600 + 5\/(-2). Is 268 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -58 - (1 + 8 + -6). Let t = 62 - p. Solve 0 = 3*m - n + t, 14 = -4*m - 2*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000879 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - v. Let n(a) = 24*a**2 - 6*a + 75. Let t(y) = 5*c(y) - n(y). What is the second derivative of t(m) wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(-23)*a*a\/(a\/a**(-1\/40)) assuming a is positive.\nAnswer: a**(1039\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96487\/20 - 4822. What is the common denominator of (31\/44)\/(2\/(-4)) and z?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 187, 421, 815, 1417, 2275, 3437, 4951?\nAnswer: 6865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 20. Suppose 8 = 5*o - 3*o. Suppose 0*k + 129 = 2*z + 5*k, -j*k - o = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 153, 146, 137, 126, 113, 98?\n\"Answer: -r**2 - 4*r + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 404424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/(-9)*(178 - 184). Is 50 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(128)*5))\/((sqrt(64) + sqrt(64)*-1)\/sqrt(8) - 3*sqrt(32)\/sqrt(4)).\nAnswer: -sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 318771586 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 12*m + 36*m + 2)*(-4*m + m + 4*m).\nAnswer: 30*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) - (sqrt(560) - (sqrt(560)*-3 + sqrt(560))))\/sqrt(10))\/(sqrt(32)\/sqrt(4)*6) + ((-1*sqrt(28)*5)**2 - (2*sqrt(224))\/sqrt(8)) + -2.\nAnswer: -13*sqrt(7)\/3 + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41777, -42227, -42665, -43091?\n\"Answer: 6*j**2 - 468*j - 41315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*o - 9 + 29 = 0, -22 = 3*x - 5*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/6*(-4)\/14*135. Let l be 20\/f - (-8)\/(-36). Sort 0.2, l, 0.\nAnswer: l, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244823\/23460 - 240\/23. Let v(f) be the third derivative of -1\/102*f**4 + p*f**6 + 0 + 0*f + 1\/510*f**5 + 11*f**2 + 0*f**3. Solve v(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, 2, 14, -3 in descending order.\nAnswer: 16, 14, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and 5\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/16*1*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g - 1. Let l be a(-4). Suppose -j - l = 3*p - 13, 18 = 3*j + 3*p. Let w(u) = 1 - 3 - j + 2 - u. Determine w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -361*l**6\/30 - 219*l**5\/20 + 1159*l**2. What is the third derivative of q(h) wrt h?\nAnswer: -8664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, m: 5, u: 6, y: 1}. What is prob of sequence omyo?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f - 27*f - 5*f - 15*f - 16*f + 162*f.\nAnswer: 58*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2192366 and 1122.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*s**2 - 53*s**2 - 47*s**2 - 56*s**2 - 34*s**2.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -0.98135.\nAnswer: -1.00135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(36)\/sqrt(4)*3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429728 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(228)*-2*2 + sqrt(228))*-6)\/(((sqrt(108) + (sqrt(108) - -3*sqrt(108)*-1) - sqrt(108)) + sqrt(108))\/(sqrt(36)\/(sqrt(8)\/sqrt(2)))).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 6*b**2 - 9*b + 16. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 4*d)*(d**2 + d**2 - d**2) + (-2*d**3 - 3*d + 3*d)*(-3 - 1 + 2) + 0 + 0 + d**3 + d**3 + 2*d - 2*d - 6*d**3 + 3*d**3 + 0*d**3 + 0 + 2*d**3 + 0.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1429 - 408 = 192*t - 515 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -0.2, -0.5, -0.1, 3\/8 in ascending order.\nAnswer: -1.4, -0.5, -0.2, -0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*s - 79. Let q be 5\/((2\/(-12))\/(1\/(-2))). Let o = s - q. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 divided by -5.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v. Let j = 172 - 171.6. Which is the nearest to v? (a) j (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 9. Let u be t(-5). Suppose -4 - u = -m. Let k be 0 + (-50)\/m - (3 - 4). Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/(3*28\/(-140)). Solve 3*i - 6 = h*i + 3*w, -4*i = 5*w - 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**4 - z**3 - z**2 + z - 2. Let b(l) = 3*l**4 - 175*l**3 + 4*l**2 - l - 73. Let r(j) = -b(j) - 4*y(j). Find the second derivative of r(p) wrt p.\nAnswer: 12*p**2 + 1074*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*m**4 + 3*m**3 + 401*m wrt m.\nAnswer: -1848*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*m**3 - 24187*m**2 - 1922*m + 768.\nAnswer: (m - 384)*(7*m - 1)*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d - 0. Suppose -3*a = 7 - d. What is the units digit of 10 + 2 + 0 + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*a*h*u + 497948*a*h + 1187*a*u - 16175*u with respect to h.\nAnswer: -83*a*u + 497948*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 + 0.6. Let v = 0 + k. What is the closest to -1\/2 in v, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 10*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3099 is divided by 348.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1\/4*g**5 + 3*g - 1\/2*g**2 - 11\/4*g**3 - 3\/2*g**4 = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*n - 10, 0 = 2*u - n - 0 - 2. Suppose -12 = -u*l - 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -603, -1242, -1881, -2520, -3159?\n\"Answer: -639*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 426 + 224. Let z be (-6 - -6) + (-104)\/(-2). What is the highest common factor of z and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*b = -86*b + 6500. Round b to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*s + 2*n - 16, 0 = -3*s + 2*n + 2. Solve 5*w + 7 = g, -4 = -2*w - 4*g + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597.8 times -4?\nAnswer: -14391.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/63)\/((-23)\/(-161))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1\/(4 - 3)). Suppose 103 = d + 5*k, -4*d + d + 5*k + 369 = x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -39*q - 2. Let i(v) = -1548*v**2. Calculate t(i(n)).\nAnswer: 60372*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -2 + 2 + 12. Let j(y) = -3 - 3 - y**2 - 2*y**2 - 3*y + p*y**2. Let u(k) = -3*k**2 + 2*k + 3. Let x(d) = -2*j(d) - 5*u(d). Calculate x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1324 (base 7) to base 16\nAnswer: -1fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3205850 and 150?\nAnswer: 9617550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-13) + (-3650)\/(-65). Let c = -84 + u. Let t = 36 + c. Calculate the remainder when 39 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410003 rounded to the nearest 1000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*s + 51840 = 52*s + 12*s - 388*s for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**4 - r**2 - r + 1. Let w = -6 - -5. Let j(z) = 7*z**4 + 4*z**2 + 4*z - 8. Let k(m) = w*j(m) - 4*n(m). What is the first derivative of k(y) wrt y?\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:25 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 - -180. Let u(i) be the second derivative of i**5\/20 + i**4\/3 + i**3\/2 + i**2\/2 + 2*i. What is u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-6) + 1444\/56544 and 45\/22?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1782)*-2*-3)\/(sqrt(2) + 4*sqrt(18)\/sqrt(9) - (sqrt(2) - (sqrt(18)*-2)\/sqrt(9))))**2.\nAnswer: 288684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3\/4, -5 in increasing order.\nAnswer: -5, -3\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/11*2\/2*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -40, 8\/5, 7, 5 in descending order.\nAnswer: 7, 5, 8\/5, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11925374 is divided by 1155.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 78. Let d(q) be the third derivative of -q**4\/8 + 5*q**3\/6 + q**2. Let s be d(z). Are s and -7 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + (sqrt(144) + (-2*sqrt(144) - sqrt(144)))*-3 + sqrt(144))\/(sqrt(21)\/(-3*sqrt(7)*-2 + sqrt(7))).\nAnswer: 224*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164895*h - 4*f = 164894*h + 18, 5*h - 4*f = 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edgs when four letters picked without replacement from eheggmdeshdgdgeheeh?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -166 (b) -1\/4 (c) 0.2 (d) -10257 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f + 56*f - 28 = -5*m, -4 = -m - f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 5, v: 8, j: 2, o: 2}. Give prob of picking 2 p and 1 w.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxtitiiixxiix. What is prob of picking 2 x and 2 t?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.024606172 and 601627.\nAnswer: 601626.975393828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c**2 - 2\/7*c**4 - 4\/7*c**3 + 2\/7 + 4\/7*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 310 - 307. Let u be (4\/(-5))\/(2\/(-5)). Let f = u + -7\/3. What is the nearest to -0.1 in f, z, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 20, 5, 4, -3, 1 in increasing order.\nAnswer: -81, -3, 1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*y**4 - 4*y**3 + 2*y**2 - 41*y**4 + 5*y**3 - 16*y as l*y**2 + b*y**3 + c*y + h + m*y**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 550 - 565. Put 1, r, -5, -2 in decreasing order.\nAnswer: 1, -2, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 5*q + 9*m - 13, q + q - 13 = m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37426625.\nAnswer: 5, 227, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-30) - ((-5)\/(-6) + (-7752)\/7920)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2 - 2*r + 0 + 0*r. Let d(n) = 140 - 7*n - 19*n - 3*n. Let i be d(5). Let l(q) = -2*q + 2. Give i*y(s) + 6*l(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310696 = 3343*w + 39913 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let r(j) = 2444*j. Calculate v(r(b)).\nAnswer: 2444*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 1183 + 396 + 23*r**2 + 396 + 398 as a*r + y*r**2 + i and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(f**3 - 4*f**3 + f**3) + 3*f**3 - 5*f**3 - 9*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 1.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Let b = -20665\/4 + 5227. Let z be 6\/4*(-244)\/(-6). Let m = b - z. What is the biggest value in 3\/5, m, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 31471513*y + 31471504*y + 6.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/13 (c) -0.5 (d) 10 (e) 5 (f) 0.085\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b + 3*b, -5*v = -2*b - 3. What is the second biggest value in -3\/8, 6, v, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19940 = 14*h - 860534. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/3 + 28*z**3\/3 - 98*z**2 - 19*z. Factor y(x).\nAnswer: -4*(x - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120031212203 (base 4) to base 6.\nAnswer: 344013015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084 less than -5833638?\nAnswer: -5833637.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.263126\nAnswer: -0.0131563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -1, 3*r = -5*t + 48. Let z(h) = h**3 + 13*h**2 + 16*h + 33. Let d be z(-5). What is the highest common divisor of d and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - 30\/(-9). Let d be 889\/35 + b\/(-10). Solve -3*c = 2*c + d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/812 and 32\/667?\nAnswer: 18676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 11*y + 1, -6*r - 2*y - 2*y = -r + 560 - 535 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67\/35 - -11\/5. Let o = 48 - -24. Let q = o - 71.9. What is the nearest to 0 in -2, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 31*d**2 + 72*d + 317. Determine g(-29).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7 - 22988427.\nAnswer: -22988423.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5 - 3*k**4 - 1395*k**2 - 2208*k + 2 wrt k?\nAnswer: 20*k**3 - 36*k**2 - 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 + 464*n**4 - 3216*n**3 + 7786*n**2 - 7775*n + 2742 = 0.\nAnswer: 1, 2, 3, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/3 - 2*m. Let p be 0 - 1\/((-2)\/4). Let r(b) = 0*b**2 + 0*b**2 + 3*b**p. Calculate n(r(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 241903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + (4 - 9) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(-2 - 8). Suppose 3*s - x - 169 - 96 = 0, -h*s + 447 = x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5118 - -5118.9. What is the second smallest value in 4, 39.9, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31.288 and -0.243.\nAnswer: -7.602984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/(-4))\/(6\/12). What is the remainder when 0 - (0 + 3) - d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 6*b + 6. Let c be m(5). Is c + 3 - (-4 - 2699) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/24122616 and -137\/852.\nAnswer: 1712705736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15472 and 196301?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94753 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9846, -9847, -9848, -9849?\nAnswer: -9850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 648 + -189. Suppose 5*x + 5*n = 254 - 94, 62 = 2*x + 3*n. Calculate the greatest common divisor of k and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1671285, 1671283, 1671281, 1671279, 1671277, 1671275?\nAnswer: 1671273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/12 (c) 0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -689, -1030, -1369?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159394 divided by 25?\nAnswer: 159394\/25","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1620 and 3844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 139\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -926 less than -4626\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/120*-2)\/(11\/(-55)))\/((-7)\/(-1029)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (840\/(-77))\/(3480\/(-22968)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2166)\/(-434) + -5)\/((-31)\/(3472\/64)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -2\/3 in descending order.\nAnswer: 8, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 + (0\/3)\/1. Suppose -15 = -5*g, r + 4*g = -0*g + i. Suppose t + 15 = r*t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h**2 - 41*h + 17. Calculate n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 34 - 36 + 82)*(21*p + 6*p + 55*p).\nAnswer: -164*p**2 + 984*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2989 by -17.\nAnswer: 2989\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/40529841 and 91\/55652916.\nAnswer: 3728745372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 146\/13, -8\/7, 0.201, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107457 - 49049. What are the prime factors of y?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + sqrt(3) + (sqrt(3)*-3*3)**2 + (4*sqrt(48))**2).\nAnswer: 10*sqrt(3) + 5055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 19*w**7\/6 - 47*w**4\/12 - w**3\/3 + 43*w. What is the third derivative of u(t) wrt t?\nAnswer: 7980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) - (-178)\/4. Let z = k - 93\/2. Let j = 2.55 - 2.05. Which is the closest to 0? (a) -5 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19187?\nAnswer: 7, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 26 = -5*a, -a + 19 = 7*k + 7. Let q(h) = -3*h**2 - 2 + 3 + 4*h**2. What is q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948564448.\nAnswer: 2, 37, 1645747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -185, -188, -191, -194, -197?\n\"Answer: -3*q - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0612+13\nAnswer: 12.9388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 933?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = 5*t + 79, t - 1 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*n**3 + 29*n**3 + 96*n**3)*(-106*n - 174*n - 63*n + 79*n - 177*n + 52*n).\nAnswer: -59906*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6287935 is divided by 3258.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q + q**4 + (q**4 + 2*q - 2*q)*(-10 + 35 + 20) + (2*q + 0 - q - 1)*(0*q**3 + 0*q**3 - q**3).\nAnswer: 45*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1743936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 9*u + 5*u)*(3*u**2 - 3*u**2 - 6*u**3).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhpq when four letters picked without replacement from {q: 3, h: 2, p: 1, v: 1, o: 4}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5028 and 1214.\nAnswer: 3051996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -527.999789 + 528. What is i rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 12. Let z(f) = -5*f**3 + 2*f**2 - f. Let a be z(1). Sort -0.2, t, a in descending order.\nAnswer: t, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467620610 a multiple of 4206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 9. Let r(g) = g**3 - 8*g**2 + g - 9. Calculate r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 372 + 228. What is the second derivative of -33*d + 38*d - b*d**5 - 24*d wrt d?\nAnswer: -1500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -629 + 623. Sort u, -0.4, -2\/9, 0.2 in descending order.\nAnswer: 0.2, -2\/9, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3754*l**4 - 115*l**3 - 40*l**2 + 5*l - 1. Let a(g) = -g**4 + 23*g**3 + g**2 - g. Let n(j) = -5*a(j) - s(j). Find the third derivative of n(b) wrt b.\nAnswer: -89976*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 229418 + 5194 = 0. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 80*q**2 + 481*q + 13. Determine i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 409*w + 296 - 153 - 143 to v*w + t and give v.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.91065 micrograms to tonnes.\nAnswer: 0.00000000000691065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2. Let p(i) = -2*i + 20*i**2 + 2*i - 23*i**2. Calculate p(t(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from pxpxpppppprpppxxx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 21. Suppose b = 4*u - 27. Suppose 4*n + 3*m - 2 = 0, 0 = 5*n + 12*m - 7*m. Solve -2*h + 5*y - y = -u, -4*h = n*y - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -8) + 1 + (96 - 134) - 1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4adf2 (base 16) to base 2\nAnswer: 1001010110111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 313? (a) -3 (b) -0.2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 705 - 706. Which is the second smallest value? (a) t (b) 35\/6 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**4*x - 8921*u**4 - 550*u**3 - 298543*u**2*x - 31*u**2 wrt u.\nAnswer: 120*u*x - 214104*u - 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvvllvevggvgggvv. What is prob of sequence vg?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*d - 94*d**3 + 120*d + (2*d + d - 2*d)*(2*d**2 + 0*d**2 + 0*d**2) + 4*d**3 - 4*d**3 + d**3 as b*d**3 + f + v*d**2 + u*d and give b.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + 3 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 11011011110101?\nAnswer: -11011011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/779 and -85\/798?\nAnswer: 32718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11 - 17 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.45, 5\/794, 1.3, -0.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2139*v**3 + 4631*v**3 + 7*v**2 - 1281*v**3 - v.\nAnswer: 1211*v**3 + 7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 44. Let q(r) = 57*r. What is q(o(f))?\nAnswer: -57*f**2 - 2508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m + 21. Let j be d(-3). Suppose -3*u - 2*r + 5*r = 0, 5*u + 2*r + 7 = 0. Let f = u - -3. Solve j*x - f = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlqlqlqrrrq. Give prob of picking 1 q and 2 r.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -1043.\nAnswer: -1043.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 3. Let x(m) = -4*m**2 + 6*m + 4. Let p be x(6). Let a be (2\/4)\/(2\/p). Let j(y) = -9*y - 13. What is a*t(s) + 6*j(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/432 and 107\/24.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*q - 12649 = 0, -31610 = 27*p - 32*p + 5*q. List the prime factors of p.\nAnswer: 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**5 - 275*y**4 - 1035*y**3 - 745*y**2 + 1040*y + 1020 = 0?\nAnswer: -51, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630117*n*o**3 + 93*n + 2*o**3 - 20561*o**2 wrt o?\nAnswer: -3780702*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b**2 - 12*b + 1. Let t be j(4). Let z = t + -61. Suppose z*i - 96*i + 308 = 0. Which is smaller: -78 or i?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -919*t - 36631. Calculate a(-40).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29637, 29620, 29603?\nAnswer: 29586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000308782 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.0157?\nAnswer: 0.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*j**3 + 1 - 110*j**3 - 36*j**2 - 6.\nAnswer: -24*j**3 - 36*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/235 or -1?\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 22*d**2 + 13*d - 6. Let r be -33*3\/15 - (-2)\/(-5). Let h(s) = -s - 17. Let b be h(r). What is the tens digit of o(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogorrrgooooorgggggr. What is prob of sequence og?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*u**3*z - 5*u**3 + 240*u**2*z wrt u.\nAnswer: -66*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s**3\/5 + 422*s**2\/5 + 47*s\/5 = 0.\nAnswer: -1\/9, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36264 divided by 6044?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(2*b**3 + 5*b - 5*b) - 60*b + 60*b + 4*b**3 + (-b - 2*b + 4*b)*(0*b**2 - b**2 + 2*b**2) + b**3 + 0*b**3 + 0*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10993 - 10992.4. Which is the closest to -2\/5? (a) -3 (b) r (c) 11 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 5. Let z(c) = -2*c**3 + 6. Let p = -23 - -27. Suppose -5*f + p = 2*m - 10, 22 = -2*m + 4*f. Let i be (-4)\/3*(0 + -3). Give i*t(l) + m*z(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13252014 (base 7) to base 10.\nAnswer: 1222806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 4*z + 70 = -5*m, 0 = -3*m. What is the remainder when 67 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/10*190\/(-209).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u = -72 + 432 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = -3*n. Suppose o + 0 - 13 = 2*h, h - n = -3*o. What is the nearest to -0.1 in 4, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (31 - (-19 - -29 - -29)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6 - 4. Solve a*g + 15 = -3*z, -5*z - 25 = g + g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + n)*(-2 + 1 - 3) + 2*n + n - n + 2*n - 2*n - 2*n + (0 - 2 + 4)*(n + 2*n - n) + 2*n + n - 4*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*x**14*x\/(x\/(x**(-2\/5)\/x))*x**5 assuming x is positive.\nAnswer: x**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 3)*(-4 + 0 + 1) - 2 + 2 - 1)*(-102*a**4 + 684*a - 684*a) to the form j*a**3 + w*a + x + m*a**4 + s*a**2 and give m.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*i**5 - 3*i**4 - 19*i + 6 wrt i?\nAnswer: 320*i**3 - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + 8*d - 3. Let t(j) = 7*j**2 + 17*j - 6. Let o = 17 + -26. Let y(z) = o*n(z) + 4*t(z). Calculate y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -97641974*x**2. Let b(z) = -4*z**2. What is b(l(u))?\nAnswer: -38135820346466704*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 1019088742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3015, -3016, -3017, -3018, -3019?\n\"Answer: -t - 3014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-30)*(-9)\/108*-18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 272 in 5, -190, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*b - 136*b - 127*b - 2*b**2 + 316*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 191*u - 1473. Let r be k(5). Which is smaller: -516 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 78*l + 1219. Determine q(-23).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 10:50 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2*3\/(-6)) + (11 - 12). Put -9, r, 30 in descending order.\nAnswer: 30, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 2. Suppose 2 = 2*f - 8. Suppose 2*k - 58 = -0*o - 2*o, 2*k - 70 = -5*o. Suppose 4*p = 3 + k. Let r(g) = -4*g + 3. Give f*r(x) + p*y(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 598583021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 333142.7 millennia in years?\nAnswer: 333142700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 28. Let k be g(-3). Let j(n) = -n + 5. What is j(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:13 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -44*j + 180 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 91. Let j(f) = -f**3 - 13*f**2 - 7*f + 27. Let t be j(m). Which is the smallest value? (a) 3\/5 (b) 2\/9 (c) -4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 4*n. Let o be y(4). Suppose o = -2*h + 4*h - 2. Let m = 5718 + -5718.3. Which is the closest to 1\/2? (a) h (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -19, -1, -4 in descending order.\nAnswer: 0, -1, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -558 + 557.9551. What is k rounded to 3 decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/7 - 2524*s**2\/7 + 287774*s\/7 + 585660\/7 = 0 for s.\nAnswer: -2, 129, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/10*2\/(-126)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24156555 divided by -115\nAnswer: -210057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3575296679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/(p\/p**(-2))))**1)**0)**(4\/25))**(-10) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 + 3. Let m(p) = p**2 - 1. Suppose 5*r + 9 = -2*v, -7 = r + 3*v - 0. Calculate r*k(a) - 3*m(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3323 + -16115?\nAnswer: -20438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*k + 9, -k - 7*f + 12*f + 18 = 0. Calculate the lowest common multiple of 34 and k.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3469*c**2*p**3*t + c**2*p**2 + 2*c*p**3*t - 4*c*p**3 + 11*c - 7*p wrt t.\nAnswer: -3469*c**2*p**3 + 2*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 4. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.141541.\nAnswer: 2.858459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*h**2 + 459*h - 459*h + (2*h - 2*h + h)*(0*h + h - 3*h) + 0*h + h**2 + 0*h.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 5*w + 38. Let m be j(9). Which is the closest to 1? (a) 3\/4 (b) 2\/89 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2588*c**4 + 21*c + 0*c**2 + 2586*c**4 + 4*c**2 - 3*c**2 to q*c**4 + h*c**3 + k + n*c + l*c**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + u + 18. Determine j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67*o**2 - 229952 + 229952)*(-2*o + 2*o - 2*o) to r*o + g*o**3 + l*o**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11155 (base 7) in base 8?\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2894 - -2898. What is the third smallest value in 1, u, 3\/2386?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 277*o*s + 70*o + 4 wrt s?\nAnswer: 277*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57063 is divided by 405.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, 61, -22, 3, -3 in descending order.\nAnswer: 61, 36, 3, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -61*m**3\/3 + 24*m**2 + 158. Find the second derivative of f(d) wrt d.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1068\/(-84) + 13)*2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*f + 5 = 0, 2*f + 10 = 4*x - 0*f. List the prime factors of -2 + x - -12 - 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 - -3. Let d = -1.7 + y. Let v = 323\/36 + -35\/4. What is the third biggest value in 3, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*m**5 - 175*m wrt m?\nAnswer: 580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*u + 12, 0*d = 2*u - 2*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 a factor of 139858706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/317 + 959\/1268. Let 0*x + x**4 - d*x**3 - 1\/4*x**2 + 0 = 0. What is x?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353792.11 - 2.4\nAnswer: -353794.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let u = -10 - -14. Suppose -r - 8*k + u*k + 24 = 0, -r = -5*k - 33. What is the remainder when r is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 7*c**2 - 3*c + 23. What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*d - 37, -6*g + 11*g + d - 28 = 0. Suppose 3*p - 8 = -g*m + 4*p, -2*p = -4*m + 4. Solve -m*y + l - 7 = 0, 3*y + 3*l - 18 = 8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 15*f - 35. Suppose 53 = o + 50. Let t be m(o). Let a = 63 - 41. Calculate the greatest common factor of t and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97214 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 - 105. Suppose d - i*k = 5*d - 1592, -3*d = -4*k - 1169. List the prime factors of d.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190119*d**2*g**2 - 2543*d**2*g - 13*d**2 wrt g.\nAnswer: 380238*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15 - t**2 - 1 - 11*t + 21*t. Let f be m(7). Let x(d) = -2*d + 1. Give x(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5960700 divided by -716.\nAnswer: 8325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 204, 319, 432, 537, 628, 699, 744?\n\"Answer: -x**3 + 8*x**2 + 94*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68970 divided by 165\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/61, -2.326, 2, -0.4, -1?\nAnswer: -2.326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/75 or 1?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fvtfn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626\/1824 - (-34)\/(-544)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*h - 402*h + 1041*h.\nAnswer: 451*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*u + 4*z, 2*z - 11 = -3*u + 51. Suppose 20*f - u = 15*f. Let w = 13 - 9. Calculate the remainder when w is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1332 and 97\/148?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5 = 5*t + 2, 24 = 4*b + 4*t. Suppose 0*c - 6 = -b*c. Suppose -f = c*f - 6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (-7 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5726)\/21*(-3)\/22 + (-2)\/11. Let n(r) be the second derivative of 10*r**2 + 0 - k*r - 7\/2*r**4 + 0*r**3. What is the derivative of n(b) wrt b?\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 5. Suppose 2 = y - r, -2*y - 2*r + 18 = 6. Calculate the remainder when i(-5) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 63*d + 2. Is o(1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-89)\/2)\/(-1))\/((-567783)\/(-7422)*2\/306)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 20350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**3 + 2*f**2 + 0*f**4 + 3\/100*f**6 + 1\/75*f**5 + 1\/75*f**7 + 23 + 0*f. Factor l(n).\nAnswer: 2*n**2*(n + 1)*(7*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3946450.543 to the nearest 100.\nAnswer: 3946500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9416127 divided by -21\nAnswer: 448387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1461, -1492, -1497, -1464, -1381?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(90)*1)\/sqrt(3))\/((sqrt(42) + sqrt(2058) + sqrt(2058)*-1)\/sqrt(7)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*(-36)\/(-15)*(-885)\/1593.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -218236 - -10?\nAnswer: -218226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2947918*j**2 + 2144439*j?\nAnswer: 5895836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -54*v + 59*v. Solve -4*p - 3*x - 6 = 6, -2*p - v*x = 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5135*v - 1198 - 1196 - 1190 + 3584 in the form z + n*v and give n.\nAnswer: 5135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 2925.\nAnswer: 26325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*h*y**3 - 42*h - 6*y**3 wrt y?\nAnswer: 36*h*y**2 - 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -100010001100001011111110?\nAnswer: -100010001100001011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 12*t**3 + 33*t**3 + 23*t**3.\nAnswer: 44*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = y. Let r(q) = 5*q. Determine r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**5\/10 + 4*c - 6. Let q(y) be the first derivative of i(y). Find k, given that q(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 12. Let c = 8 + v. Factor 0*g**c + 6 + 9*g**2 - 6 + 9*g**3 + 3*g**4 + 3*g.\nAnswer: 3*g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.7 - -16.7. Which is the fourth biggest value? (a) 1\/2 (b) -2 (c) o (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -143?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -0*f. Let p be (-21)\/(2 + 1)*f. Let i(h) = -3*h**2 - 5*h - 2. Let n(z) = 5*z**2 + 9*z + 4. Calculate p*i(s) - 4*n(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21445?\nAnswer: 5, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/9, -1, 1, 9\/4.\nAnswer: -1, -0.4, 1\/9, 1, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/71 - -5426\/213. Let b = 2687\/96 - l. Find the common denominator of -18\/11 and b.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 293172*g**4 - 2*g**2 - 10*g + 15434638.\nAnswer: 1172688*g**3 - 4*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39334980 divided by -4\nAnswer: 9833745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5175\/(-1700))\/69)\/((-12)\/102).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19928194 is divided by 104335.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9641 and 3131.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 at least -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -350 - -749. Suppose -2*v = -9*v + u. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5442475 and 13061940?\nAnswer: 65309700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342 is divided by (75 - -17 - 4) + 24.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(95) + ((sqrt(95)*-3 - sqrt(95)) + sqrt(95))*2))\/(-1*sqrt(180)*1).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 4*x - 5. Let n be s(5). Suppose v - 5*v = n. Suppose v*y + 2*y - 16 = 0. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -827\/11. Sort f, -4, 2\/15.\nAnswer: -4, 2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t + 350. Let n = t + 33. Let h = 7 - n. Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 6*l + 4. Let k(b) = 2*b**2 - 7*b - 4. Calculate 5*k(q) + 6*r(q).\nAnswer: -2*q**2 + q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -z + 94, -5*u + 452 = z - 2*z. Suppose 250 = -3*a + u. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b**2 + 2*b**2 + 9*b**2 - 10*b + 9 + 4*b**2. List the prime factors of y(6).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7 = -13. Suppose 0 = -4*m - 4*l + 140, 0*l - 177 = -c*m - 4*l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r + 53. Let b be y(7). Let q be 2 + ((-2)\/(-6))\/(b\/96). Which is smaller: 11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let o be y(6). Let h(n) = n**2 + 7*n + 7. Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703*c**2 + 1947*c**2 + 2267*c**2.\nAnswer: 2511*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3. Let f(i) = 6*i**3 - 12*i**2 - 84*i - 12. Let d(a) = -a**3 + a**2 + 7*a + 1. Let x(y) = 12*d(y) + f(y). Calculate -34*l(v) - 6*x(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2832555*d**2 + 1756795.\nAnswer: -5665110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7030.273 minutes in microseconds?\nAnswer: 421816380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**2\/t))**(-13)\/((t\/((t\/(t\/(t*t*t*t**(-10)*t)))\/t))\/t**(2\/3)))**(5\/13) assuming t is positive.\nAnswer: t**(-110\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-3\/5)\/x)\/x)\/x**(-3\/5))\/((x*x\/(x**5\/x))\/(x\/((((x*x**(-3\/7))\/x)\/x)\/x)*x*x)) assuming x is positive.\nAnswer: x**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71247351 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4375 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*j, -2*j + 15*n - 138 = 59*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217358249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26343, 52812, 79281, 105750?\nAnswer: 132219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c**2 - 3. Let d be r(6). Let o = d + -38. Put 5, o, -4 in ascending order.\nAnswer: o, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 19*a**2 - 37*a - 42. Let z be w(21). Suppose -3*t + 13 = 1. Let n be (-28)\/(-8)*t\/2. What is the greatest common divisor of n and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*a - 25. Let f be (-22)\/a - 3\/(-5). Suppose t + f = -0, -4*h - 3*t = 11. Sort -2, h, -6 in decreasing order.\nAnswer: h, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:03 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1219932 by -7.\nAnswer: -174276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y*y**(4\/3)*y*y)\/y*y*y*y**(-7)*((y*y**34)\/y)\/(y*y*y**(-6\/5)\/y) assuming y is positive.\nAnswer: y**(518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/5606208 or -1?\nAnswer: -7\/5606208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -47*q**4 + 31*q**2 + 14*q + 6. Let y(v) = -95*v**4 + 61*v**2 + 26*v + 11. Let d(k) = -11*n(k) + 6*y(k). Find the third derivative of d(t) wrt t.\nAnswer: -1272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1114\/3 + -7942\/21. Suppose 3*o - 4*o + 3 = 0. Suppose 3*m = -o*v + 99, -3*v + 135 = -0*m + 4*m. Calculate the common denominator of q and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*(144\/40 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130579473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 69 + 13 + (-36 - (-19 - -6))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -394384\nAnswer: 69\/394384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u**3 + 3*u**2 + 3*u - 3. Let h(r) = -140*r**3 - 20*r**2 - 20*r + 20. Determine -3*h(g) - 20*t(g).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 848 = 14*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, r: 4}. What is prob of sequence rk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -9, 184, 57, -5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4160*o**3 - 7*o**2 - 2030. Let r(q) = -1385*q**3 - 2*q**2 - 677. Let z(u) = 2*l(u) - 7*r(u). What is the derivative of z(t) wrt t?\nAnswer: 4125*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1700 divided by -340.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37571, 37502, 37385, 37220?\n\"Answer: -24*h**2 + 3*h + 37592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 25 - 24 + 83 - 33.\nAnswer: -14*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110000011000 (base 2) to base 4\nAnswer: -300120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 18*i - 18 = 0. Suppose j + d = 2, 16*j + i = 17*j - 5*d. Suppose -33 + 13 = -4*m. Solve p = -m*b - 28, -j*b + 0*p = -3*p + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 184*k - 25*k - 14*k + (k + 2 - 2)*(0 - 3 + 2) in the form p + d*k and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113.85 - -131.85. What is the nearest to k in -1\/2, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/728*13)\/((-4)\/(-2))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -5 (c) -1.27 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8387.56 times 16?\nAnswer: -134200.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 88*r - 81. Determine x(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5))**(-28))**(-2\/43)*(h*(h\/((h\/h**1)\/h)*h*h)\/h*h*h\/(h\/((h*h**(1\/4)*h)\/h)))**(-49) assuming h is positive.\nAnswer: h**(-262927\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720888 rounded to the nearest 1000?\nAnswer: -1721000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 797159.1um in kilometers?\nAnswer: 0.0007971591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1 + 24\/12)\/2. Let u(i) be the second derivative of 0*i**4 + c + 8*i - 9\/20*i**5 + 0*i**2 + i**3. Find the second derivative of u(v) wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 8 = 22. What is the common denominator of -13\/30 and x\/15 + (-543)\/360*1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547077719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c - 48*c = -122*c + 2322615. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/7? (a) 2 (b) 10 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 8.8, -5, -0.07, -1\/2, 3?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180.000006 + -180. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37913)\/1085 + (9 - (-5072)\/(-560))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 29*g**2 - 135 + 268 - 38*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 + 1114*s + 12628. Give r(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 99 = -o - 8*y, -396 = 4*o + 2*y. Which is bigger: o or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 + -311. Is -89 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348278 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-3)\/(3\/7)). Let w = 23388.95 + -23389. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 72, 177, 344, 585, 912, 1337?\n\"Answer: 2*y**3 + 13*y**2 + 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6637925 months in years?\nAnswer: 0.138649375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-40930\nAnswer: -20465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - a**3 + 4*a + 5*a**3 - a**3 - 5*a**3 + (-4 - 3 + 5)*(-2 + 2 - a**3) - 2*a**3 - a**3 + 4*a**3 + 15*a**3 + 1595*a**2 - 1595*a**2.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from tvcvcccccc.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527 by 703146.\nAnswer: 527\/703146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1530, 684, -162, -1008, -1854?\n\"Answer: -846*f + 2376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110287 is divided by 55138?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3530.4.\nAnswer: -10591.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*w + 67, 4*q = -0*w + w - 19. Suppose -507 = 2*v - 5*v. Let m = v + -8. Calculate the highest common divisor of m and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 0*m = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 9*b + 3*j, -201 = -j - 206 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.253313 months to millennia.\nAnswer: 0.00185444275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78669?\nAnswer: 3, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -240, -336, -430, -522, -612, -700?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1253373 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 70\/1643 (c) 0 (d) 21\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28310 + -28296. What is the highest common divisor of o and 16618?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10143120.\nAnswer: 2, 3, 5, 13, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 382 and 12.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 48. Calculate b(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1244 (base 6) to base 11.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.05 + 2.05. Which is the nearest to 0.1? (a) -2\/7 (b) -0.2 (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 4. Suppose 4*n - 4*a + 4 = 72, 5*a = -15. Let r = n + -18. Let z(q) = 2*q - 11. What is r*z(j) - 11*k(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113760 and 50400?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/35*(-3542)\/(-276).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-73255)\/(-260590) + (-8)\/22 and -67\/1854.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9490588.06 - -3?\nAnswer: -9490585.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3889*t - 48*t + 21 + 1.\nAnswer: 3841*t + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/2)*q**(-7\/3))**(5\/13))**(-3\/10))**23 assuming q is positive.\nAnswer: q**(253\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -126 (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 - 51. Does 35 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 473365 divided by 60\nAnswer: 94673\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/60 - 5*x**4\/24 - 4*x**3\/3 + x**2 + 2798. Let z(u) = -u**2 + 6*u + 9. Give 3*a(o) + 2*z(o).\nAnswer: o**2 - 3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/10 - 15*y**4\/28 + 2*y**3\/7 - 13*y**2 + 19. Factor v(n).\nAnswer: 6*(n - 2)*(7*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 3. Let x be r(8). Suppose -4*m = -12, 0 = 2*y + 2*y + m - 19. Put 3, y, x in increasing order.\nAnswer: 3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286 + 39 - 318) + -124 + 1?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 223520, 894484, 2012758, 3578342?\n\"Answer: 223655*p**2 - p - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21. Let d be -2 + 11 + -4 - b. Solve d*p + 3*v = -30, v + 20 = -3*v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3050, -12408, -28004, -49838?\nAnswer: -77910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 5*t + 3. Let w be h(-5). Let u(i) = -w*i**2 + 0 + i - 3 + i**2 - 8*i. Let q(l) = -l**2 - 4*l - 2. What is 10*q(s) - 6*u(s)?\nAnswer: 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = z, 5*z - 18 = -5*q - 3. Solve -n - n = -z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + t**2 + t**2)*(2*t - 5*t + t + 8*t + 3*t - t + (1 + 0 - 2)*(-2*t + 5*t - 2*t)) + (-5*t**2 + 3*t**2 - 3*t**2)*(9*t - 10 + 10).\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from {c: 3, b: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -27*o**3 - 3*o**2 - 2*o - 7. Suppose -3*x = 2*g - 0 - 5, g + 4*x = 5. Let j be g\/(8\/(-6))*4. Is s(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*s + 9 + 4, 0 = -2*u - 3*s - 11. Which is the second biggest value? (a) 4 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = -4*x - 4, 4*y = 5*x + 22. Suppose 0 = -y*t - 216 - 24. Calculate the common denominator of -73\/6 and (210\/t)\/((-162)\/152).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -139, -145, -165, -205, -271?\n\"Answer: -v**3 - v**2 + 4*v - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(10*20\/150*444\/(-8))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 139*k**2 + 52*k + 4. List the prime factors of z(-4).\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.2 + -28. Let c = -3 + v. Sort 0.14, -3\/4, c in descending order.\nAnswer: c, 0.14, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -63, -79, -95, -111, -127?\n\"Answer: -16*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 339 and 340 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 702.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.965368917 + 0.0078?\nAnswer: 7.973168917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 3*c)*(1098*c - 132*c + 1748*c - 459*c) to the form h*c**2 + a + v*c and give h.\nAnswer: 4510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and -122252474050.7?\nAnswer: 122252474051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-11))\/(c\/c**(-8\/7)*c))\/(c**(-1\/8))**(-3\/22) assuming c is positive.\nAnswer: c**(10891\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)*(-8)\/(-2). Let c(t) = 2*t**2 + 2*t + 1. Let r = 2 - 5. Let y(b) = 2*b**2 + b. Let z(o) = a*c(o) + r*y(o). What is z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 + 3*o**2 - 3*o + 3. Let y(b) = 5*b**2 - 15*b - 4. Let z be y(3). Let s(u) = -5*u**3 - 4*u**2 + 3*u - 4. Determine z*h(p) - 3*s(p).\nAnswer: -p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*z**2 - z**2 - z**2)*(-64 - 242 - 84) - z**2 + 4*z**2 + 2*z**2)*(-2 + 2*z**2 + 2) to the form j*z**2 + y*z**4 + n + g*z**3 + d*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/3, 4, -2\/5, 11, 1.6 in ascending order.\nAnswer: -28\/3, -2\/5, 1.6, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/910 and 79\/54873.\nAnswer: 548730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus -2764?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - ((sqrt(45)*-1)\/sqrt(9) + sqrt(5))) + -2)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294 - -295. Let q = -92\/129 - -2\/43. Which is the nearest to p? (a) 0.4 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -853, -854, -855, -856?\n\"Answer: -t - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213764 - -213775. Let v = -3 - 2. Let l = -2.3 - -0.3. Which is the closest to l? (a) z (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1423 - -1730. What is the remainder when f is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 56.06. Sort -1, y, -0.5 in descending order.\nAnswer: y, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -48. Let k = 33 - w. Which is the nearest to 0.1? (a) k (b) -2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.917 rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120838 is divided by 570.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 2*u**2 - 50*u - 10. Let t be 1 - 28\/4 - 0\/10. Let b be n(t). Solve -2*p - 3*i = -5*i + 12, -b*p + 23 = 5*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 5*x + 20. Let r be (-48)\/(-5) - 10\/(-25). Let t = r + x. What is the highest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3 + 11. Let p(w) = 3*w. Calculate p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-nine quarters of a second in milliseconds?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5235*o + 73285. Determine v(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (211\/(27008\/(-1536)))\/((-3)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5 - 89. Let d = x - 18. Solve 0*y + 2*y = -4*g + 26, -3*g = d*y - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 870, 1740, 2610, 3480?\n\"Answer: 870*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:40 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -0.042.\nAnswer: -0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103.9 - -810.9. Let f = j - 706.8. What is the closest to -1\/4 in 1\/7, -0.08, f?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129.2*-0.0872.\nAnswer: 11.26624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2\/7*d**4 + 5135416\/7*d + 810\/7*d**3 - 14436624\/7 - 110148\/7*d**2 = 0.\nAnswer: 3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {k: 3, c: 1, d: 3, u: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 63 + 12. Calculate the remainder when 59 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5952944863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 3, r: 4}. What is prob of sequence rrz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187781500 to the power of 1\/3, to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/676 and 32\/5995951.\nAnswer: 23983804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 4*i + 0*i)*(52 - 52 + 30*i).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12*j**2 - j + 6. Let s be r(0). Let p(h) = h**2 - 2. Let w be p(2). Let t be 1 + 46\/(-14) + w. What is the smallest value in 2, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -601974?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1464822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 6 + 0*g**2 - 6*g + 1 + 0*g**2. Let b be y(7). Let f(j) = -j + 7. Let c be f(-8). Solve -n - b*n = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -1.12188?\nAnswer: 1.32188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -868, -1300, -1740, -2188, -2644, -3108?\nAnswer: -3580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = b - 2*b. Let f = b + 51. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4534001330 + -2?\nAnswer: -4534001332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -3.52 (b) -3 (c) -17 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -68*o + 563. Give y(4).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 3. Let i be f(-3). Let n = i + 7. Suppose 20 = 4*u + 2*l - 2, n*u - 12 = -4*l. Solve 8 = -4*v - u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 6*m. Suppose 3*u - 8*u - 40 = 0. Let q(z) = z**2 + 4*z. Let r(x) = u*q(x) + 5*d(x). Factor r(w).\nAnswer: 2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2309362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Suppose 2*l - 14 + 44 = u. Let a = l - -26. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5*(-20 + 6342\/315). What is the nearest to -53\/3 in m, -1\/2, -1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135726.\nAnswer: 2, 3, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -914492*l**2 + 2*l - 3170927.\nAnswer: -1828984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 1.2. Let q = f - -3. Put q, -1, -3\/8 in decreasing order.\nAnswer: q, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 4. Let o(h) = -24 + 11*h - 3 - 32*h. Let s = -79 - -28. Let f = s + 24. Determine f*a(l) + 4*o(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -165, -48, 341, 1008, 1959?\n\"Answer: v**3 + 130*v**2 - 280*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let w = 31 - 33. Let h = w - b. Is h <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 26. Suppose x = 4*u - 0, u = -2*k + 5. Let q = -51\/11 + 142\/33. Which is the nearest to k? (a) q (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 62. Let q be h(15). Suppose -5*g = -10, -q*l + 12*g = 11*g - 38. Solve -5*u + l = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - f**3 + 30 - 15.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 348*b - 24260*b.\nAnswer: -23912*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -318, -311, -306, -303?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234990746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006513 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4603 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehm when three letters picked without replacement from ehijm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 890 (base 11) to base 10\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3730096705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.758\nAnswer: 0.2274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 13*s + 9. Let x be v(12). Let d be x*2*2\/3. Let p be 2\/d + (-342)\/36. Put p, -3, 0 in increasing order.\nAnswer: p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 202 - 37 = 0. Let l(y) = y**2 + 17*y - 3468. Calculate the lowest common multiple of l(52) and b.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*z = 222*z + 328. Solve 2*g = 5*o - 12, 2*o + 26*g + z = 30*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1\/3 (c) -0.3 (d) -0.06 (e) 0.3 (f) 23.5753\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4860, -9710, -14550, -19380?\n\"Answer: 5*u**2 - 4865*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6578 is divided by 76?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10152)\/(-94) - 109)\/(2\/30*(-15)\/54)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*g - 38 = 5*y - 290*g, 4*y + 31*g = -225 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 5*u**2 + 0*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -139, -293, -507, -781, -1115?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1429 - 155. Let t(j) = -j + 7. Let w be t(2). Suppose 5*y - g = -o, 11*y - 6*y = w*o + 1280. List the prime factors of y.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*300\/(-50)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t - 15. Let b(n) = -2*n + 8. Give b(g) - 5*s(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 + 3*k - 3. Suppose s = 3*s - 4. Calculate g(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -519458, -519463, -519470, -519479, -519490, -519503?\n\"Answer: -n**2 - 2*n - 519455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - j**5 + 2*j**5 + (-26*j**2 - 23 + 23)*(2*j**3 - 2*j**3 - 2*j**3) + j**5 - 2*j - 6*j**5 + 3*j.\nAnswer: 49*j**5 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 796656 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 542*n. Let h(v) = -v. Calculate h(y(r)).\nAnswer: -542*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*k + 21*k - 4*k**2)*(k + 0*k - 4*k) to the form p*k + x*k**2 + a + v*k**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -600, 1, -46707 in descending order.\nAnswer: 1, -600, -46707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 102049899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -9*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4722 and 40578507.\nAnswer: 2361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(3 + sqrt(2) + sqrt(6)\/sqrt(3) + 4))**2.\nAnswer: -3648 - 1792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/12 + l**3 + 5*l**2\/2 + 2*l + 3034. Let g(u) = 0. What is u?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqeeee. Give prob of sequence eeqe.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7342*b**2 - 7337*b**2 - b - 1141*b**3 + b.\nAnswer: -1141*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3871 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:52 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:20 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4\/7 + 129*n**3\/7 - 123*n**2\/7 - 129*n\/7 + 18 = 0.\nAnswer: -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15536 (base 7) to base 9\nAnswer: 6015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(-2 - 1 + 1)*((0*z - 2*z + z)*(-1 - 5 + 4) + z - 5*z + 5*z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 70 = s. Solve 1 = s*f - 5*c + 6, -3 = 3*f + 4*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125777.0026 + -125755. Let a = 21.83 - -0.17. Let w = d - a. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(0 - 4). Let k(j) = -5 - j**3 + 0 - 3 + 11*j**g - 6*j. Is 16 a factor of k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbxuxbxrruxrruxb. Give prob of sequence rxu.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j*o*v**2 + 31*j*o*v - 3*j*o - j*v**3 + 4*j + 7*o*v**2 - 2*o - 4*v**4 - 2*v wrt v.\nAnswer: 6*j*o - 6*j*v + 14*o - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14*t = 108. Let u be (7\/(147\/(-14)))\/(14\/t). Factor 0 + 4\/7*w**3 + 0*w - u*w**4 + 0*w**2.\nAnswer: -4*w**3*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12459322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 1774, 2755, 3736, 4717?\nAnswer: 5698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138651 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255718350 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -976 - -42939\/44. Find the common denominator of x and (6\/(-56))\/((-30)\/(-567)).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 6*y**2 - 2*y + 6. Let j be v(5). Suppose -2*g = g - j. Suppose -8*l + 77 = -g*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -3*u. Suppose 4*f = 9 + 7. Suppose 4 = -i + 3*i. Solve -u*s - i = 3*d - 5*d, 0 = f*s - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42968 * 30.\nAnswer: 1289040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Let j = 2 + z. Let l(b) = 0*b + 2*b - 2 - 3*b**3 - 2*b**2 + 2*b. Let u(r) = -7*r**3 - 5*r**2 + 9*r - 5. Give j*u(k) - 5*l(k).\nAnswer: k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10142145701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Suppose -w = j - 6. Solve -6 = 3*l - g, -4*g + j = -3*l - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -101*n**5\/5 - n**4\/4 + 3*n**2\/2 - 32*n. Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 31*q - 208. What is the remainder when o(-38) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let x(u) = -14*u + 6261. Calculate x(j(q)).\nAnswer: -14*q + 6261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 5*t**2 + 8*t - 3. What is the units digit of y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*j + 76*j - 1140. Is j less than 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.6 - 11. Let w = -1.607 + y. Round w to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4246 = -4*y - 2*p + 4208, 0 = y + 5*p + 32 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 99473346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147255 + 4050 = 30*b - 256245. List the prime factors of b.\nAnswer: 5, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w - 8. Let z(g) = -8*g - 9. Let i(d) = 4*t(d) - 3*z(d). Let n be i(-5). Find the first derivative of 4 - 4*p + 3 - n*p + 4*p wrt p.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 8*k - 11. Let s be a(-5). Suppose 0 = s*t - 18 + 2. Solve 8 = t*b - 2*b + u, 0 = -2*b + 5*u + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137988 by 1.\nAnswer: -137988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9358.\nAnswer: 2, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 1. Give u(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-9 - 7 - -6). Suppose y*b + 110 = -12*b. Let t(v) = v**3 + 5*v**2 - v - 7. Calculate t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -l - 1437, -4*v - 5*l = 664 - 2561. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -5.469?\nAnswer: -2.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/47)\/((d*d*d**17\/d)\/d)*d**22\/(d\/(d\/(d\/d**33))))**(24\/5) assuming d is positive.\nAnswer: d**(41688\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 5 - (-14 - -2)) + -5 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1241015 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183 and 321?\nAnswer: 19581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**7\/72 + z**6\/16 - z**5\/12 + z**4\/2 - 10*z. Let f(r) be the third derivative of q(r). Factor f(c).\nAnswer: -5*(c - 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x**3 + 0*x + x + 2 + 2*x**2 - 1 + x. What are the prime factors of v(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 1 + 5 - (1 + sqrt(612) + -5)) + 4*(sqrt(612) + (-1 + sqrt(612) + 5*sqrt(612) - sqrt(612)))**2.\nAnswer: -288*sqrt(17) + 88142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 1244, -0.4, -1273, -1\/8 in descending order.\nAnswer: 1244, 1, -1\/8, -0.4, -2, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(200) + 0 - 6*sqrt(200)*5)**2 + 1*(5*sqrt(200)*-2 - (sqrt(200) - (sqrt(200) - (sqrt(200) + 1 + 3))**2)).\nAnswer: 1050*sqrt(2) + 168220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-32))**(3\/13) assuming b is positive.\nAnswer: b**(-96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/133 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15202 is divided by 3795.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 4) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + (2 - 0))*-1. Let d = 49 + -47. Suppose 0*z = -z - 4*p + 21, 4*z - 36 = -4*p. Sort z, d, w in ascending order.\nAnswer: d, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.589 - -1.411. Which is the nearest to k? (a) 5 (b) -5 (c) 55 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, -1411, 1 in ascending order.\nAnswer: -1411, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -14) + 11 + 0 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((124236\/108)\/203)\/((-2)\/(-18))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2867 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxxtfxtxxxffxxx. Give prob of picking 3 f.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 4*o + 1. Let z be g(-8). Let n = z - 81. What is the greatest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/40, 20, -1, 1.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6040.2 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3 - 3)*(0*u**3 - 5*u**3 - 3*u**3) + (-58*u**2 - 10*u**2 + 19*u**2)*(2*u**2 - 2*u**2 + 2*u**2).\nAnswer: -106*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2861*u**2\/7 - 33*u\/7 = 0. Calculate u.\nAnswer: 0, 33\/2861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2010618)\/(-499715) + 21\/(-10)*2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2 - 3*r + 12. Give x(3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*-3)\/sqrt(11))\/sqrt(10).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 - 9*f**2 - 659*f + 1301. Determine s(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 99492 + 1058456 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -202 + 392 - 191 + u. Let i(x) = -6*x + 12. Give i(g) + 12*s(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*l + 11*l + 55. Let h(b) = -6 - 5 + l*b + 2 + 0 + 8. Let o(c) = 21*c - 5. Calculate -18*h(g) + 4*o(g).\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2 + 1 - 761*j + 3 - 4 + j. What is the hundreds digit of a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/8420352 and -17\/30720?\nAnswer: 84203520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872) + 0 + -4)*6 - (0 + -1 + sqrt(1872) + 1*sqrt(1872)*-4))**2.\nAnswer: -8280*sqrt(13) + 421729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 6*j**2 + 18*j - 690. Let s(x) = -11*x**3 + 17*x**2 - 51*x + 2069. Determine -17*p(n) - 6*s(n).\nAnswer: -2*n**3 - 684","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*t - 2*i**3 + 5*i**2*t - 3303*i**2 - 3*i*t - 7*i + 11*t + 18 wrt i?\nAnswer: -6*i*t - 12*i + 10*t - 6606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 541381 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wquujqjuuwuujjuqmluj. Give prob of sequence ljjm.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 381 and 162?\nAnswer: 20574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 81. Let b(y) = -24*y**2. What is m(b(a))?\nAnswer: 96*a**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/42)\/(2\/(-3)). Solve -f*v - 2*v = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-3)\/18*-6. Let n be (-22)\/u - (-1)\/(-2). Suppose 4*q = -4*b + 396, 2*b - 2*q - 199 = -n. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 4. Suppose -35 = -3*m + 8*m. Let s = 35 - 22. What is the remainder when k(m) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o - 5 - 8 - 7 + 3*o. Let w be b(-5). Solve 2*s + w*s - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -9. Find the common denominator of -41\/4 and 47*4\/(-8) - 0\/v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 92*c**2 + 5118 - 5118 - 3*c to g*c + m*c**2 + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7201 = -x, x - 9089 = -3*v - 1848. List the prime factors of x.\nAnswer: 2, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6446.41 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (108\/15)\/(8\/30) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -v. Suppose 2*p + 9 = g + 1, 0 = v*g. Let w = p + 9. Solve 31 - 11 = -w*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -366\/13. Which is the second smallest value? (a) 4\/3 (b) 10 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -69*g**3 + 2*g**2 + 2*g + 1. Let r be j(-1). Let x = r + -71. Put x, -5, -3, -2 in ascending order.\nAnswer: -5, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 77, 117, 159, 203, 249, 297?\n\"Answer: d**2 + 35*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*10*14\/70. Solve z*g + 13 - 17 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101100101101001000 (base 2) in base 16?\nAnswer: acb48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14220 and 2205.\nAnswer: 696780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -91. Suppose 27*f = r*f - 66. Calculate the smallest common multiple of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/7 + 918*g**2\/7 - 1845*g\/7 + 132.\nAnswer: 3*(g - 1)**2*(g + 308)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 692?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11995245.\nAnswer: 3, 5, 149, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**3 - 8*a**2 + 19*a + 8. Let k be o(-3). What is the highest common divisor of k and 7913?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34469317 is divided by 70.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.452 - -0.537. Let y = c - 0.99. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-8 - ((12 - -1) + -6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2 + 0 + 0 + 10*c**2 + 1. Let p be t(8). Let k(d) = 2*d. Let u be k(p). Solve 6 = -u*l + w, 5*l = 2*w - 4*w - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*u = 59, 4*x + 57 = u - 0. Let h be 6\/14 - (-678)\/x. Let v be (-180)\/h*(0 + 4). 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: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 4, f: 4, l: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, 2, -4\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y - y**2 - 1\/4*y**4 - 13 - y**3. Factor g(o).\nAnswer: -o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (27 + -10) - (-5 - (8 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 3*q**3 - 3*q**2\/2 - 3*q. Let s be 4 + (-1 + 2)\/1. Is u(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 2\/25, 264, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x - x**3 + (0*x - x**2 + 0*x)*(0 - 2*x + 0) - 23694*x**2 + 23694*x**2 + 135*x**3 + (3 - 3 - x)*(x**2 - 4*x**2 + x**2).\nAnswer: 138*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 - (-3 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7))\/v)**(-32)*(v**(-10)\/v)**(4\/15) assuming v is positive.\nAnswer: v**(3316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267978889 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-21))\/(48\/((-12)\/3)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.462 to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -407583 + -1?\nAnswer: -407584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 3\/(-84)*(-31)\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306970, 306969, 306968, 306967, 306966, 306965?\nAnswer: 306964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1540 - 4259. Let i = -1637 - t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 13*r**2 + 16*r**2 + 0*r**2 - 2*r**2 + 4*r**2 + (2*r - r + 0*r)*(-2*r + 5*r - r) as g*r + w*r**2 + i and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -384, -931, -1696, -2679?\n\"Answer: -109*u**2 - 2*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19360127*d**3*s**2 + 5*d**3*s + 2*d**2*s + d**2 - d*s - 9*s - 93 wrt s.\nAnswer: 38720254*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1216\/(16\/(-4)). Let i = s + -108. Let k be 1\/1 - (2 - i). Calculate the greatest common divisor of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h - 1. Let z(k) = -8*k**2 - 101*k - 763. Suppose r + 15 = 5*d, -6*r + 3*r + 23 = 2*d. Let x(g) = r*a(g) + z(g). Factor x(i).\nAnswer: -3*(i + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 1.1. Let n = 1.06 - 0.06. What is the nearest to 2 in q, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0383051 rounded to three dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from pppjpj.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 11*s**2 - 7*s. Let w be i(-10). Let v be (6\/15)\/(2\/w). Let n be v\/(-4)*(-20)\/(-6). Solve 0 = m + n*c + 25, -7 + 2 = m + c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)\/(h*h**(-3)))**(-6\/7) assuming h is positive.\nAnswer: h**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*y**2 - 9030*y + 2320 = 0.\nAnswer: 8\/31, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x + 20*x - 13*x + 6*x to u*x + h and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/61 (b) 51 (c) -0.1 (d) -0.4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 603745301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x**3 - 2*x**2 - 2*x - 3. Let d(a) = -55*a**3 - 9*a**2 - 9*a - 13. Let o(p) = -9*b(p) + 2*d(p). What is the units digit of o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 24 + 2 = -4*h, 11 = 3*p - 4*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/30)\/(9\/5*-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 23*a**2 + 6*a - 23. Is o(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.7639 and -21.\nAnswer: -19.2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elie when four letters picked without replacement from eoeeciirlell.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 12371 in descending order.\nAnswer: 12371, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66781 times -339?\nAnswer: -22638759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.45 - 1.32. Let x = 0.03 - u. Sort -0.5, -3\/2, x in decreasing order.\nAnswer: x, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 1168\nAnswer: 15184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/713 - 63\/11408. Let i = 181\/1104 - g. Let z = 0.1 - 0.2. What is the closest to z in i, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.92 - 3.5. Let z = d - 0.4. What is the smallest value in -2\/9, 0.2, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22076.05 millennia?\nAnswer: 2207605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 111250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3174, 3149, 3124, 3099?\n\"Answer: -25*y + 3199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 2. Let q(v) = 166*v - 109. Let s(c) = -4*a(c) - 2*q(c). Find the first derivative of s(b) wrt b.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2*(-4)\/(-6). Let m(j) = j**3 - j**2 - j. Let n(g) = -g**3 + 2*g**2 + 4*g. Calculate b*m(d) + n(d).\nAnswer: 2*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**2 - 3*l**3 - 24 + 3*l + 2*l**3 + 0*l**3 + 6*l**2. Calculate the remainder when t(15) is divided by -1 + 2 + -3 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*f**2*i*n**2 - 19*f**2*i*n + 7*f**2*i - 4*f**2*n + 5*f*i*n**2 - 2*f*n**2 wrt n?\nAnswer: -56*f**2*i + 10*f*i - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 12*x**2 + 25. Determine u(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + 5 - 5 - 7 - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -406*a**3 + 24*a**2 + 111*a - 7. Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 688?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -g - 8*f + 1100, -2*f = 3*g - 3339. Let x be (-1)\/(-2)*6*2. Suppose -x*m = -m - g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6) + 3\/(-9) - (25 + 33936\/(-1540))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 4.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from utunzzuup.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(35\/42*-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and (47 - (-6 - -5)) + 4.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -22223*d**2. Let r(n) = -30*n. Give a(r(q)).\nAnswer: -20000700*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3549, -1110, 2963, 8676, 16035, 25046, 35715?\nAnswer: 48048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.40871 meters to kilometers.\nAnswer: 0.04940871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215\/36 - -23\/4. Let l = -1.18 - -0.18. Which is the closest to l? (a) p (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 2:17 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 27. Let p be o(-19). Suppose p + 0 = 3*v. Let s be (2\/(-1))\/(-11 + v). Solve 4*i = s*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(8\/11)*y*y*y*y*y**29\/y*y\/((y**(1\/2)*y)\/y)*y**(-5\/3) assuming y is positive.\nAnswer: y**(2083\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1550.1423 hours?\nAnswer: 9.2270375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72279 is divided by 100?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -7)\/(((-25)\/(-20))\/(-5)). Let r = 36 + m. Solve 2*w - 4*h + 25 = 3, -4*h + 20 = r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 + 1416*c\/19 - 75400\/19.\nAnswer: -2*(c - 650)*(c - 58)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g**3 + 5*g**2 + 25*g + 1. Let m be h(-3). Let l = 113 + m. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 5, s: 1, b: 1, z: 9}. Give prob of sequence szz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9290, 9286, 9280, 9272, 9262?\nAnswer: 9250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -19 - -3 - 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - 6\/4*(-564)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -197, -0.5, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + 27*r**2 - 48*r**2 + 23*r**2 + 5 + (1 - 1 - 2*r)*(r - 2*r + 3*r) in the form q*r**2 + u*r + z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.031629 and 1908?\nAnswer: -60.348132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(((5\/(-1))\/5)\/(-41)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105792349.\nAnswer: 3, 41, 17120263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.4 + -8. Let c be (5 + (-276)\/48)\/(2\/8). What is the second smallest value in c, 0.06, -1\/8, n?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*d = 3*t - 26, -4*t + 3*d = -22. Let y be ((-5)\/4)\/((-10)\/680). Suppose -8*l + y = 5. What is the highest common factor of l and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4516*p - 4910.\nAnswer: -4516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95066*n**4 + n**3 - n + 414449 wrt n?\nAnswer: -380264*n**3 + 3*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 624, -1 in ascending order.\nAnswer: -1, 6, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2*(-4362)\/(-4). Let t be (-119665)\/39 - (-1 + (-10)\/(-6)). Let o = d - t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2644\/(-2) + 118\/(-59). Let a = y + 2985. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/15*(-410)\/984?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1916*r - 147*r + 103013 = 2804*r - 86800 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15972 - -15978. Solve 2*c + 2*c + 5*m - 27 = 0, 2*m - w = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 + 4*r - 1. Let w be a(-3). Let h(b) = -2*b**3 - 7*b**2 - 3*b + 9. Is h(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**6\/y)\/y*y))**45)**(-1\/2))**(7\/4) assuming y is positive.\nAnswer: y**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 234185046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -629 * -1.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 76*y**2 + 318*y + 39224. What is r(-73)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*27\/783*1*7.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:17 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = -5*j + 4*z, 25 = 5*j + 5*z. Let s = -13301 + 199438\/15. Calculate the common denominator of s and j + 413\/72 + (-35)\/315.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893688403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 at most 4249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/22 - (-344)\/(-44). Let l be 219999990\/40 + (-2)\/c. Round l to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-71926.\nAnswer: -359630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 11 - 5 - 8 + 0*c. Let w be s(1). Suppose -3 = r + 4*m, 5*r - 2*m = -3*m + 23. Put r, 0, w in ascending order.\nAnswer: w, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p**2 + 65*p. Let b(i) = 54*i. Give n(b(l)).\nAnswer: 34992*l**2 + 3510*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -56 - ((-146 - -182) + (-66 - -2))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 29783654.\nAnswer: -595673.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 274899 and -5532.906.\nAnswer: 269366.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9401 - 0.08?\nAnswer: -22.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*y - 185 = -248, -5*y - 45 = -m. Solve -3*h - m = -3*t, 15*h + t = 17*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*x + 1982 + 41930 = -766*x for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*l - 5*l + 7, -3*l + 13 = 5*v. Let a be 1\/(((-2)\/(-2))\/v). Suppose -2*f + 32 = a*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43\/3, 0, -35, 12, -2 in increasing order.\nAnswer: -35, -43\/3, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*z**2 - 3 + (z - 4*z + 2*z)*(-7 - z + 7) - 4*z**2 + z**2 - 2*z - 7*z**2)*(2*z - 5*z + 2*z).\nAnswer: 5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 106 = 2*b, -2*a + b + 47 = -71. Calculate the least common multiple of a and 15.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1420871*m**4 + 185069*m**2 wrt m.\nAnswer: 34100904*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 7*y - 10*y + 2943, 15 = 3*y. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13441, -13463, -13489, -13513, -13529, -13531, -13513, -13469?\n\"Answer: o**3 - 8*o**2 - 5*o - 13429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 742499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + x - 1. Let y be f(1). Suppose 3*u - y*u + 53 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000011 (base 2) in base 4?\nAnswer: 13003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + 16*r - 9. Suppose 0 = -4*a - 38 + 6. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4 - 5 - 64*j + 2 + 76*j - 6. Let i be 2\/(-4 + 2) - -6. Let p(l) = -6*l + 3. Determine i*p(c) + 3*z(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = -y, 0*y - 3*y = 3*q - 18. Suppose 2*v + 0 = q*p - 8, p = 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*t - 39 = -19, 0 = 5*j + t - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2600094ug to grams.\nAnswer: 0.0000002600094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335.48229 rounded to one decimal place?\nAnswer: -1335.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (57\/2)\/(15\/(-60)). Let o = p - -117. What is the greatest common factor of o and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 422 - 171. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 + 138*z**2 + 288*z = 0 for z.\nAnswer: -2, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2 - 16. Solve -4*m + u = 11, 5*u = 4*m - r*m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/6)\/((30\/(-9))\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3 + (2 - 1)) + -4. Put 3, 8, f in increasing order.\nAnswer: f, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - 4. Suppose -411 = 3*a - 3*w, -3*a + 4*w + 0*w - 415 = 0. Let u = p - a. What is the highest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a)**(40\/3)*(a**0\/a)**44 assuming a is positive.\nAnswer: a**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -33466320\nAnswer: 1\/16733160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183 + -391. Let i = 219 + j. Let m(q) = 43*q**2 + 2*q + 1. Calculate the remainder when m(-1) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 79\/3 + (-5)\/15. List the prime factors of h\/1 + (-26)\/13.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627050757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j*j)**27*j**(-12)*j\/(j**(-6)*j)*j assuming j is positive.\nAnswer: j**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o**2 + 15*o**2 + 16*o**2 + 23*o**2 - 3*o + 3 - 69*o**2. Let a(i) = -i**2 + 4*i - 4. What is -5*a(w) - 6*y(w)?\nAnswer: -7*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46464 + 93711 = -122*k + 46149 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 239919371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23365 is divided by 557.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -16. Suppose 3*o + 2 - 26 = 0. Calculate the remainder when w is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4118689.3018948 - 7.\nAnswer: -4118696.3018948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdpcpppdgdcgnpbgdp. Give prob of sequence bcc.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c + 48. Determine f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50359 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 5*j + 5. Let r be m(5). Suppose 0 = r*q - 10. Solve -y = q + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1302 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**(-9))*k*k)\/k)\/(k*k**(-15)*k))\/(k**(-11)*k*k*k*k**(2\/21)))**(1\/16) assuming k is positive.\nAnswer: k**(271\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + j = -57, -5*f - 18965*j + 131 = -18968*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.985 + 0.015. Let d = -18 + y. Let b = 1 + -0.6. What is the third smallest value in 1\/2, d, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 1, x: 2}. What is prob of sequence exux?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, 1, -0.1, 83.5, 1\/5 in decreasing order.\nAnswer: 83.5, 1, 1\/5, -0.1, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 27*m - 15. Let x(b) = -b**3 + 21*b**2 + 23*b + 22. Calculate the remainder when n(7) is divided by x(22).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/8 + 117*u - 4605\/8 = 0. What is u?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 + -221. Let b = -62 + y. Let w = b - 29.8. Round w to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 v when four letters picked without replacement from {v: 5, c: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1620*c*s**3 + 4*c*s**2*v - 4242*c*s + c + 2554*s**2*v - 728*s - 2*v wrt s.\nAnswer: 9720*c*s + 8*c*v + 5108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297587025.\nAnswer: 3, 5, 19, 151, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z**4 + 4\/5*z**5 - 2 - 2*z + 0*z**2 + 0*z**3. Differentiate r(q) wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166201 divided by -9?\nAnswer: 166201\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 34. Let w be (-4)\/t - (228\/(-30) + 4). Solve 0 = -2*c - 0*c + w*p - 14, -2 = c - p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose -2*o + 1 = -m. Let g = o + 0. Solve g*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 7, s: 6}. What is prob of sequence ss?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 4\/129 (c) -2 (d) -4.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 2*n - 8. Let o(m) = m**2 + m - 3. Calculate 11*o(h) - 4*r(h).\nAnswer: -5*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19712112 divided by 8381\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173652 and -1.\nAnswer: 173652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*o + 12 = 0, l - 6*l = -43*o + 48*o - 30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*a - 290*a - 192 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57829279349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 23208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = 0, 5*x - 10 = 4*x + k. Let s(o) = -o**3 + 6*o**2 - 6*o + 7. Let w be s(x). What is the greatest common divisor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(52) + sqrt(1872) + -3)**2.\nAnswer: -360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1570242, -5, 21 in descending order.\nAnswer: 21, -5, -1570242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -1 + 2)*-1. Let d = 90329 - 90329.06. Put q, 2, 0.3, d in ascending order.\nAnswer: d, 0.3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516290.\nAnswer: 2, 5, 79, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12340740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/28 + 1\/28. Let o = -458 + 158. Let q = o - -301. Which is the second biggest value? (a) -1 (b) q (c) 1\/4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7452033, 7452034, 7452035, 7452036, 7452037?\n\"Answer: f + 7452032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219387 is divided by 908?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -428774794.90654 and -0.5?\nAnswer: 428774794.40654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/757470 and -17\/1666434?\nAnswer: 8332170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**8))\/(t**11*t)*(t\/(t*t**(-7)))\/t**(-4\/7) assuming t is positive.\nAnswer: t**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 4*h**2 - h + 4. Suppose 17 = 3*n + 8. Let a be p(n). Let v = a + 10. What is the least common multiple of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (254 - 0)*(-266)\/(-7368). Let g = -1\/307 + h. What is the common denominator of g and -31\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/s**2))*s**(-4)*s**(4\/7)*((s*s*s\/s**(-4)*s)\/(s*s**(1\/3)))**(-12) assuming s is positive.\nAnswer: s**(-591\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1064\/3 - -354. What is the biggest value in 3\/7, 1, f, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:02 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-936) + (-4)\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1759826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485 - 139. Suppose 0 = -3*h + 3, -2*g + 227 + z = -5*h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491224 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = -4. Let p(w) = -n + 3 - 7*w + 11*w. Suppose -x + 1 + 0 = 0, 0 = 3*k - 4*x + 10. Give p(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35174411.\nAnswer: 17, 311, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + 20 - -31?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59328 - 122038 = -53*s. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 112*j - 11. Let d(u) = -u - 2. Determine 6*d(l) - o(l).\nAnswer: -118*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10571 and 21421651?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) -3\/8 (c) 2 (d) -569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/268 and 97\/2?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2841754, 2841763, 2841780, 2841805?\n\"Answer: 4*p**2 - 3*p + 2841753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 - f - 4*f + 2*f - 813 + 418.\nAnswer: -3*f + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70182.66 litres in millilitres?\nAnswer: 70182660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, -119.\nAnswer: -119, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4072*l + 73524 + 12817 + 61520 = -6875 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210742132 or 210742133?\nAnswer: 210742133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1200211 (base 4) to base 13\nAnswer: -2a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46023.6 in 1\/4, -1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 101. Calculate the least common multiple of 36 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 13) in base 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*w - 3*w - 19, -3*r = 5*w + 18. Is r bigger than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103756 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (19 + -6 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4917 and 15?\nAnswer: 24585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13339.0333 rounded to 0 decimal places?\nAnswer: 13339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*u + 801 + 5666 = 0 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 8*n**2 + 11*n - 12. Let i be t(9). Suppose -4*u + 53 = -q, -2*q + 56 = 4*u - i*q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524.93 - 4.\nAnswer: -528.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23328 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 2\/3, 8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 3*k**4\/4 - 5*k**2\/2 + 5*k + 13. Let n be b(2). Solve n = 5*u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 415 + 403 = 0. What is the smallest value in -0.07, -1, 2, i, 0.73?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 8. Let m(p) = -p**3 + 6*p**2 - 3. Let f be 3*7\/3 + -2. What is the least common multiple of a(0) and m(f)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -5, -59, 1\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.031775542 - -247.032663542. Let q = m - 247. Round q to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 - (-8 + 1*39\/(-3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304 + 536. Let y = 369 - q. Calculate the remainder when y is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9942 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120.8989*-4.\nAnswer: 4483.5956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64798 + 66102 = 22*s. What is s rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 3*j**2 + 3*j**3 - 23 + 46 to z*j + l + n*j**3 + m*j**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47779151843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3\/((-3)\/(-4)). Let m(l) = -l**g + 6 + 9*l + 3 + 3. What are the prime factors of m(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 7:43 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 12) to base 4.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -195887\nAnswer: 3\/195887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 3 - (68 + -84 + 20)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6)\/(5 + -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.1. Which is the nearest to -2? (a) y (b) -1\/4 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-1122)*-34)\/(10\/(-285))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -4532039\nAnswer: -9064078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3 = 3*x + 7, -x = -3*f + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 15*o**2 + 3 + 9 + 14 + 4*o**2 in the form x*o**2 + h*o + g and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3 + 133576*a**2 + 267168*a = 0?\nAnswer: -2, 0, 33396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24071000 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -12. Let d(l) = -4*l. Let i(s) be the first derivative of 1\/2*s**2 - 1 + 0*s. Calculate a*d(c) + 14*i(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2782 - -4353. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 27*w**2 + 62*w - 126. Let p be h(29). Let n = 54 - 54.4. What is the second smallest value in 2, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 2*u + 5. Let z be l(4). Let o = 11 + -7. Let k = 3 + 2. Solve -24 = k*a + p, -o*p + 5 - z = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-61)\/2)\/(800\/(-174400)) is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p. Let g(c) = -2*c**2 + 11*c - 12. Let a(w) = -w**2 + 6*w - 6. Let i(f) = 11*a(f) - 6*g(f). What is i(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1194*v - 25 - 14 + 39)*(-v**2 - 2*v**2 + 8*v**3 - 13*v**3).\nAnswer: -5970*v**4 - 3582*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -15*y**2 - 5173*y + 64243. Calculate m(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 115*w**2 - 145*w**2 + 0 + 23*w**2 + 0. Let u(t) = -t + 1. Let k(s) = 2*s - 4. Let r(j) = -k(j) - 4*u(j). Determine p(r(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 490 + -411. Solve -80*u + n*u + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*o**2 - 2*o**4 + 24636 - 2*o - 24636 in the form a*o**2 + r*o**4 + d*o + s*o**3 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -136415407.\nAnswer: -136415416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339 - -574. Suppose 0 = 6*t - c - 155. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48137*w**2 + 144413*w**2 - 48141*w**2 - 48135*w**2 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5048*f + 5*f**2 - 42 - 5048*f with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 4*p**6\/3 + 2*p**5\/5 - 35*p**3 + 3613*p**2\/2 + 402. What is the second derivative of w(d) wrt d?\nAnswer: 160*d**3 + 24*d**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k - 22. Let b(g) = -4*g + 8. Let m(p) = 11*b(p) + 4*w(p). Let y(o) = -51*o. Give y(m(d)).\nAnswer: -204*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwdwwwdwwwwwwdwww. Give prob of picking 2 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -6.23, 0.1, -1047?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oroozrorzoz. What is prob of picking 2 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.5 less than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:26 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 34. What are the prime factors of -3 + (53 - (-6)\/a)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 15.9\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 1:03 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4)\/((-31630140)\/31630160 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/5 - 2*b + 11\/5 = 0. What is b?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) - (-30)\/(-270). Let o = 1.4 - 0.4. What is the nearest to o in -0.1, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/60 - d**4\/6 - d**3\/6 + d**2. Suppose -9 + 1590 = 31*j. Suppose -9*m - j + 78 = 0. Determine w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/2509 and 115\/1404.\nAnswer: 270972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/2531 - 382229\/60744. Find the common denominator of x and 61\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-12 + 19 + -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -790 - -467. Is m bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144017941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6654*j + 173007. Determine l(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -s + 20. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 277 = -3*z. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 6*y + 6. Suppose 3*f - v + 21 = 0, 11*v + 9 = -3*f + 8*v. Calculate g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0662 years in months?\nAnswer: 96.7944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 2 - 13282*t**2 + 669*t - 2 + 5 - 2 + 13284*t**2 as a + c*t**2 + r*t**3 + p*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7749, -7748, -7747?\n\"Answer: c - 7750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2 - -5))\/((-1)\/(-3)). Let f(w) = -w + 3. What is f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r - 3*r**2 + 17*r**2 + 18*r**2 - 14*r**2 + (r - 4*r + 2*r)*(-2*r + 2 - 2).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 5*a - 3. Suppose 8*w - 3*w = -4*u + 29, 3*u + 21 = w. Let r be (w\/12)\/(-2 + (-45)\/(-24)). Give k(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1, 381422, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/3 - (-347578)\/5124 - (0 + 1\/(-2)).\nAnswer: 79\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2673*m + 11 = 2682*m - 61 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(656\/120)\/(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(1 + 0)*(-1412864)\/66228?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 1, a: 11, p: 5}. Give prob of sequence aww.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 54 = 0, -8*d = -116*g + 114*g - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:18 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.02 times -140?\nAnswer: -702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -248, -369, -492, -617, -744, -873?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q - 30 = 2*l, 0 = -4*l. Suppose 3*d - q = -2*d. Suppose 24 = 3*c + d. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137201 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3221050100 - -2?\nAnswer: -3221050054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-17)*-8*(-783)\/216.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-128)\/(-864))\/(8\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/42 + (-38)\/(-14). Let v be 34\/51 + (-2)\/h. Suppose 6*y - 127 + 13 = v. What is the highest common divisor of 209 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.9 + 23. Which is the closest to -0.1? (a) f (b) 1 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 5, n: 3, c: 3, z: 1, j: 1}. What is prob of picking 1 c, 1 j, and 1 s?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136590125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*p**4 - 1256*m**3*p**2 - 554*m**2*p**4 wrt p.\nAnswer: 48*m**3*p - 13296*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1566039 by -1566039.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 + 6.3. Let v = -2.9 + m. Let z = 0.05 + -0.35. What is the smallest value in -2, v, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let h(a) = -431*a - a**2 + 431*a. What is y(h(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 42. Let u = -9 + n. What is the second derivative of -7*p - 4*p**u + 34 - 34 wrt p?\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604*s**3 - 12 - 3474*s**3 + 12.\nAnswer: -5078*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (204 - 211) + (0 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 9*y**2 + 6*y + 4. Let h be r(-3). Let v be -6*h\/(-48) + 265*1. Calculate the greatest common divisor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2349648 by 3969.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 129*h**2 + 126*h.\nAnswer: 3*h*(h - 42)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0791 + 4.0791. Which is the closest to 0? (a) w (b) 4\/3 (c) -1\/2 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/3, 18\/773, 38, -0.04.\nAnswer: -1\/2, -1\/3, -0.04, 18\/773, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5421, -2, -11466 in ascending order.\nAnswer: -11466, -2, 4\/5421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 3*y + 4*y + (-2*y + 0 + 0)*(1 - 1 - 1) + (-2 + 2 - 1)*(y - y + 2*y) - 2 + 2 + y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 310\/7 or 2.61002?\nAnswer: 310\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 5, 144 in increasing order.\nAnswer: -3\/7, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.96 - -13. Let y = h - 0.0345. What is y rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21256448 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154233 divided by -3?\nAnswer: -51411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (-1 - 7 - (-12 + 20 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 26*w. Let d(z) be the first derivative of z**2\/2 - 27. Determine d(o(g)).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 + (-30)\/5 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -29*u - 1. Let j be n(-1). Solve -d - x + 6 = 2, -5*d + 3*x + j = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1491230*l**3*x**2 - 7*l**3 - 2*l**2*x - 5*l*x**2 + 35*l*x - 35*x + 2 wrt x.\nAnswer: -2982460*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. Suppose 4*s = 0, -6*s = -z*d - s + 20. Let l = 4 + -3.7. Which is the third smallest value? (a) d (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17119 + 28828. Is f a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5 - 4040*l**4 + 1039310*l**3 - 87604440*l**2 + 253568205*l = 0.\nAnswer: 0, 3, 209, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(2\/11)\/q)\/q)**(-5\/11)*(q\/q**(1\/4))**20 assuming q is positive.\nAnswer: q**(1860\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23324 + 200?\nAnswer: -23124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 180764580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/105*((-4230)\/188)\/3)\/((-318)\/(-14)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 3*q**2 - 36 + 60 as m + c*q**2 + p*q and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 7. What is the remainder when 30 is divided by u(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/6 + 1425*u. Let g(q) = q + 1 + 5*q - 2*q. Calculate g(x(t)).\nAnswer: 8*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 204059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15317806, 30635632, 45953458, 61271284, 76589110, 91906936?\nAnswer: 107224762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 303 divided by -4\nAnswer: -303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) - (sqrt(68) + 2*1*sqrt(68)))*-3)\/(5*(sqrt(48)\/sqrt(3) - (sqrt(4) + 2*sqrt(4)*-1))).\nAnswer: -8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/374 and -29\/14.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 378963294311 and -0.357.\nAnswer: 378963294310.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2265, -2253, -2227, -2181, -2109, -2005?\n\"Answer: q**3 + q**2 + 2*q - 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a32 - -3?\nAnswer: 4a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803805 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: Let h be (-4)\/(-8) + 3\/2. Let b = h + 0. What is the second derivative of 3*m**b + m**4 - 3*m**2 - 2*m wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24070 and 87638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253 - 1887*r + 24*r**3 - 198*r**3 + 1887*r wrt r?\nAnswer: -522*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16010 > -16008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let t(z) = 1266*z. Give s(t(r)).\nAnswer: 1602756*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.13, 0, -8, -0.3345?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*k - 63, 3*i - 2*k + 4*k - 42 = 0. Let z be i\/30 + (-46)\/(-10). Suppose -2*w - 4*b = 4, 2*b + 2 = -w + b. Sort z, w, 0.2 in descending order.\nAnswer: z, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 - (-3 - (-1 + -1)). Suppose 2*h - 8221 = -g, t*h - 2*g = 2*g + 16424. Suppose 11*s + h = 18*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7*(-16)\/168).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-340)\/(-12)*15\/10. Let b = -44 + k. What is the fourth smallest value in 0.5, b, -2, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10948 - 10947. Which is smaller: -8892 or z?\nAnswer: -8892","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 1. Let s be f(-1). Let m = -4 - s. Let d(h) = -193 - 5 + 194. Let g(p) = -p - 1. Determine m*d(u) + 4*g(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -3*s + 5*s. Calculate the remainder when s is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.4, -1\/4, -326, 1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52694 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -117. Let f = q - 50. Is f at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -393, 35, -1, -3.\nAnswer: -393, -47, -3, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 5)*(2 - 3 + 3)*(-6*n**2 + 8*n - 8*n)*(4*n - 5*n - n) in the form h*n + u*n**2 + p*n**3 + c and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/((-1)\/10*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146132.\nAnswer: 2, 3, 13, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 9.97. Put 4, 0.1, 2, k in decreasing order.\nAnswer: 4, 2, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304546297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/121 and 35\/20691?\nAnswer: 20691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1439, -2414, -4063, -6404, -9455, -13234, -17759, -23048?\nAnswer: -29119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwxgcbbcacbccba. What is prob of picking 1 x and 1 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g. Suppose b = -s - g*b + 8, 0 = 5*s - b - 16. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/(-351))\/(3\/(-36)) and 71\/54?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9689725941 + -0.0689735241. Let b = j - 4.9. What is b rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 630 = -15*i. Solve 25*t - i = 19*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 50. Suppose -19*w - 1375 + 387 = 0. Let p be c(w). Solve -d**p - 1\/2*d**3 + 0 + 3\/2*d = 0 for d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, -23, -5 in descending order.\nAnswer: 26, 4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 2*k + 8. Suppose 4*j + 222 - 32 = -90. Let f = k + j. Solve h - f*v + 6 = 0, -3*v = -5*h - 9 - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/9 - 303818*t\/9 + 23076344281\/9 = 0 for t.\nAnswer: 151909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - a + 40. Let c = -6 + a. What is the third derivative of 2 + b**3 - 5*b**2 - c + 8*b**2 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -469.45 and -0.6?\nAnswer: 468.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/(-405)*-1)\/(1\/(-10)). What is the third biggest value in -3\/2, -14\/3, c?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 2*f**2 - f**2 + (-47 - 1 + 2)*(-3*f**2 - f**2 + 6*f**2) to s*f + v*f**2 + w and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 27831078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 201*h**2 + 394*h + 199. Let j(g) = 100*g**2 + 198*g + 100. Let s(t) = -2*f(t) + 5*j(t). Solve s(m) = 0 for m.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 + 21*q**2\/5 + 12*q\/5 - 84\/5.\nAnswer: -3*(q - 7)*(q - 2)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(2*(sqrt(200) + 1) + (-1 + sqrt(200))*2 - 2*((-1 + sqrt(200))*3 + sqrt(200)))*5)**2*1.\nAnswer: -4045000 + 600000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n = 0. Suppose n = -b - 2*v + 7*v - 19, b + 3*v - 13 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -53*v - 38. Let n(h) = 107*h + 75. Let m(y) = -6*n(y) - 13*w(y). Differentiate m(j) with respect to j.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2 = -i. Let h = 7 + -4. Let f = 4 - h. Put i, -5, f in decreasing order.\nAnswer: f, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-36)\/(-10))\/(-9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away -1045018023?\nAnswer: 1045018037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggglgggl. Give prob of picking 4 g.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*h + 53*h + 257*h - 10120 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -3197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 198989 and -1903?\nAnswer: 200892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04622192 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k = 122 - 32 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 - 8*s + 6. Let k be x(2). Solve -5*h - 18*h**3 + 21*h - 27*h**2 - k*h + 15*h**4 = 0 for h.\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -45. Let l be (10\/w)\/(1\/(-9))*2. Is l smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 74 - 4. What is the nearest to f in -0.5, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8*q = 4*q - 471, -q = -2*u + 186. What is the remainder when 179 is divided by u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 32*h**2 + 53*h - 646. Let g = 28 + -6. Let j = -16 + g. Calculate the smallest common multiple of b(33) and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -49.37, -2\/5, 3, 4?\nAnswer: -49.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/((-836)\/(-855)))\/(1\/4*-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -52*t + 3. Let l(b) = 126*b - 8. Let p(g) = -3*l(g) - 8*q(g). Let k(o) be the first derivative of 2*o**3\/3 + 7. Determine p(k(z)).\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2112 + -1929. Calculate the remainder when k is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/30713312 and -57\/261063152.\nAnswer: 522126304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 91 - 11. Suppose 0 = 4*h - d - 4. Suppose -h*z + n = -406, 4*n = -4*z + 145 + 199. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 2*h)*(-2*h**2 + 2*h**2 + 3*h**2) + 3*h**3 - h**3 - 3*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*(5 + (-9 - -7)). Let a(q) = 36*q**2 + 36*q. Let u(k) = -k**2 - k. Let i(m) = z*a(m) + 60*u(m). Find the second derivative of i(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -1 + -5 - (sqrt(208) + -1 + 5))*5 - (4*sqrt(208)*2 - -5*(1 + sqrt(208)))*-5)**2.\nAnswer: -13000*sqrt(13) + 879425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19276396 to three dps.\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, k: 3, j: 8}. Give prob of picking 2 j and 1 v.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96792.73ml to litres.\nAnswer: 96.79273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = 0, -5*s - 7 = j - 0*s. Let a = -9 - -39. Suppose 5*c - a = -2*y, 4*c - 18 = c + j*y. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - 2. Let s = 6 - n. What is the third derivative of 2*z**4 + 9*z**2 - 12*z**s - z**2 + 15*z**3 wrt z?\nAnswer: 48*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 4732 = 12*h. Let r be 6\/(-81) + 62023\/54. Let x = h - r. Calculate the common denominator of -125\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*j = -157*j - 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3107, 3893, 4679, 5465, 6251?\n\"Answer: 786*y + 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -4210410444?\nAnswer: 4210411002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120401502 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 42 = -m - 51, -62 = -2*u - 4*m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n - 96*n - 91*n.\nAnswer: -152*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5095, -5095, -5081, -5047, -4987, -4895?\nAnswer: -4765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + sqrt(171)*-3*1)\/(sqrt(9) - -2*sqrt(81)) + 4)*-1.\nAnswer: -4 + sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 8478684.\nAnswer: 55\/8478684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 19157427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6446908 to the nearest 1000.\nAnswer: 6447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-4)\/40)*(-42)\/(1848\/(-286)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25072705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b + 2*b - 5 + 0*b + b**2. Let z(x) = -7*x**2. Determine l(z(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 146*h**2 + 235*h. Let i be z(47). Let x(o) = -3*o**2 + 3*o - 2. Let m(g) = -g**2 + g + 1. Let y(w) = 4*m(w) - x(w). Give y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2510*z**2 - 8*z + 49. Let g(t) = -5019*t**2 + 15*t - 99. Let f(u) = -3*g(u) - 5*i(u). Let w be f(12). Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 10*w - 5. Let j be q(-9). Suppose -l = -s - 4*l, 3*s = l - 30. Let b be 0\/(j\/(12\/s)). Solve 0*y - 3*y + o + 16 = b, 0 = -y + 2*o + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*b + 2 = 0, -4*h = 311*b - 312*b - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90122204 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 31 = 10*k. Suppose 0 = k*u + 4*f + 1154000, -4*f - 359210 = -5*u - 1513210. Round u to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163654621 divided by 18951?\nAnswer: 114171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 482 and (-2211)\/3819*19\/(-1)?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 198, 0, 6, -3 in ascending order.\nAnswer: -3, -2, 0, 6, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -112 (c) -27 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.04, 0.158?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 6*p**2 + 3*p - 4. Suppose 28*x - 26*x + 4 = 0. Let n(i) = -i**3 + 5*i**2 + 2*i - 4. Let s(f) = x*z(f) + 3*n(f). Factor s(m).\nAnswer: (m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4316, -2, -41.\nAnswer: -41, -2, 5, 4316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16405067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 13 = 18 + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.216 - -299.087. Let b = l - 289. What is b rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 618608.7 months?\nAnswer: 515.50725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*j + 118 = 0, -5*l = j + 54 - 170. Let f = -20 + l. Suppose -4*z - f = -2*w + 23, 2*z = -3*w + 7. Solve w*p - 3 = -13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c - 34*c + 67*c + 695 = 0. Calculate the remainder when 293 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjmvmtemkvmmvee. Give prob of picking 1 e, 1 k, and 1 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 i when three letters picked without replacement from {i: 3, z: 1, w: 2, d: 4, n: 1, e: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 5*w = -22*a + 135, 5*a - 10*w - 150 = 0 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*j + 10 = -183*j - 158. Let s(r) = -3*r - 73. What is s(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 2553 = 21834. Let j = b - 2216\/3. Sort j, -4, -0.3, -2.\nAnswer: -4, -2, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 4. Let z(m) = 6*m**2 - 3*m - 4. Let l(b) be the second derivative of -7*b**4\/12 + 2*b**3\/3 + 5*b**2\/2 + 49*b. Calculate a*l(u) - 5*z(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/1858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78415 is divided by 78388.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x. Let m(g) be the second derivative of g**3\/3 - 20*g. Let q(w) = 5*a(w) + 4*m(w). Let o(s) = 22*s. What is o(q(n))?\nAnswer: -154*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(35\/42)*(-200)\/6. Suppose -j = 2*i - 57, -4*i - j + k = -71. Sort 0, i, 2.\nAnswer: 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k - 7. What is t(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -18, -11, 46, -6, -1\/9, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1342 or -1354?\nAnswer: -1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Is 2*6 + j\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 5, 1, -658, -19, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 34654.\nAnswer: -20792.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 8*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145\/2 or 74?\nAnswer: 145\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(1*sqrt(700) + 4) + -2)*3)**2 + -5)*1.\nAnswer: 2160*sqrt(7) + 25519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 0*k)*((0 + 3 - 2)*(7 - 4 + 13) + 27 + 63 - 136).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.317268 - 0.3114. Round k to four decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209139000 rounded to the nearest 100000?\nAnswer: 209100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 9. Determine r(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*m + 4*m. Which is greater: m or -13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-5*v**4 + 2*v**4 + 0*v**4)*(-7 + 13 + 4)*(-2 + 1 - 2)*(3 + 2 - 4) to the form f*v**2 + p*v**3 + h + l*v**4 + j*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19196 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1700) + -1 + sqrt(1700) + sqrt(1700) + sqrt(1700) + -1)**2 - (sqrt(153) + -3 + 1)**2)*-5 + -2).\nAnswer: -811422 + 4440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9299, -9286, -9275, -9266, -9259?\n\"Answer: -k**2 + 16*k - 9314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 1163*m**2 - 3508*m - 11660 = 0 for m.\nAnswer: -1166, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - 36. Let o = -107 - z. Let r = -0.05 + 2.05. Which is the closest to -1\/8? (a) r (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-75) - (279\/(-120)*2 + 4).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2472916*n - 2472916*n - 1 - 396*n**2 + 705*n**5 wrt n?\nAnswer: 42300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 6. Let b be (3\/2)\/(5\/(240\/18)). Suppose 4*c - 4 - b = 0. Suppose 5*k = c*r - 3*r + 44, 20 = 2*k - 2*r. Give s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1235 = -5*n, -3*n = 4*k - 2*k - 738. List the prime factors of n.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 121?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((sqrt(300) - (-4 + -3*sqrt(300))) + (sqrt(300) - (3 + sqrt(300) + 1)))**2*2.\nAnswer: -28795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 5817283?\nAnswer: -5817280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 + 304*l + 5*l**4 + 1 - 299*l - 4*l**3 to a*l**4 + r + d*l**3 + j*l + o*l**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.7 and -8132.\nAnswer: -8133.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**9*d)*d)\/d)\/d)\/d*d*d\/d**(-1\/5))\/(d**(-1\/18)\/d*d*d*(d\/(d*d\/(d*d**(2\/13)*d)))\/d) assuming d is positive.\nAnswer: d**(-12751\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**2 - 8*i - 28. Let c be o(2). Suppose -4*x + 4*r + 193 = r, c = -5*x + 3*r + 242. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -20, 4, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 457163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -340493 divided by -2\nAnswer: 340493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4*m - i**3*m + 311*i**2*m + 7527*m wrt i.\nAnswer: 8*i**3*m - 3*i**2*m + 622*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1414605\/10*(-6)\/(-9). Suppose -805693 - f = 6*x. Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417275995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 6, 2\/29?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154*(-6)\/(-60))\/(-1)*(-94)\/(-329)*10.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5882 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573341 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*2 + sqrt(68))\/(sqrt(100)*2) - ((sqrt(2057) - (sqrt(2057) - (0 + sqrt(2057) + sqrt(2057))*-4)) + sqrt(2057)*-2 + 0)**2.\nAnswer: -205700 + 7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 49 = 9. Let o be j - ((-20)\/90 - (-168)\/27). Sort o, 1, -2, 4 in descending order.\nAnswer: 4, 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/12 - 7*q**3\/6 - 5*q**2\/2 - 168*q. Let z(d) = -d - 1. Determine -x(k) + 6*z(k).\nAnswer: k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139609 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 87 + t**2 + 0*t**2 - 85. Let d(n) = 2 - 7 - 4*n**2 + n - 3*n**2. Calculate 2*d(r) + 5*h(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.13502 decades in centuries?\nAnswer: 1.013502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 7*z - 63. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 5, 45, 119, 239?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 - f**3 + 4*f**3 - 2*f**3 - 3*f**3 + 2 - f**3 - 2 + (3*f + f - 6*f)*(2*f**2 - f + f) - 1 + f**3 + 1 + 3 - 3 + 4*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 321*w + 6727. What is i(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/228 and -7\/61522.\nAnswer: 369132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/3 - 8*u**3\/3 + 17*u**2. Let d be w(-2). Solve 20 = -d*f - 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.404 - -1.596. Put 0.2, n, 5.8 in ascending order.\nAnswer: 0.2, n, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 - -50)*(-1)\/(1*-2). Suppose -b = -g - 5*p, -p - 26 - 3 = -3*g. Let y(l) = 2*l**2 - 23*l + 11. Let j be y(g). Solve j = 3*s - 6*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -598*u**2 - 9*u - 118. What is h(0)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = -6*q - 223 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.4141172 or 1\/3?\nAnswer: 1.4141172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*k - 17 = 0, 9 - 40 = -5*u + 4*k. Let j = 970 + -830. Suppose 37 = u*s - j. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11, 2, -0.1, -7\/816?\nAnswer: -7\/816","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 + 259080*t + 5593537200 = 0.\nAnswer: -43180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.85? (a) 1 (b) -0.4 (c) 0.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 1. Let a(k) = 3*k - 1. What is 3*a(j) + 5*m(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*u**4 - 58665*h**3*u**3 + 16*h**3*u**2 + 8*h**3*u + 12*h**2*u**2 - h**2*u wrt u.\nAnswer: -48*h**3*u - 351990*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214659 = -2892*s - 31065 + 99822 for s.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/842543?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/4)\/(j*j**(-7)\/j))**24)**(-4\/27) assuming j is positive.\nAnswer: j**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 + 1491*t**3 - 4500*t**2 + 12*t + 6000 = 0. What is t?\nAnswer: -500, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3839 is divided by 276.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**3\/12 - k**2\/4 + k\/4 - 10. Factor q(s).\nAnswer: (s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -20, -35, -50?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 45. Suppose -5*y = -3*l + 171, -4*l + 2 = y + 50. Let w = j + y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 66 = 29*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 97*a - 96. Does 34 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-2)\/(-9)). Factor -5 - 5*p**2 + l*p**3 - 4*p**2 + 9*p + 2.\nAnswer: 3*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 1783*b + 32285. What is v(-18)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + 10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-60))\/(1 - 4\/3). Let l = -200 - -199.7. Which is the third smallest value? (a) -0.053 (b) w (c) l (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 + 12*w + 41)*(11 - 21 - 1) in the form p + v*w and give v.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let v(l) be the third derivative of -2\/5*l**5 - 6*l**2 + l + 0*l**4 + 0 + 0*l**3. Calculate i(v(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 11*r**3 - 20*r**3 - 12*r**3.\nAnswer: -43*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*h + 217, -2*p - 61 = -3*h - 204. Let b = p + -59. Suppose -2*a - b*l - 5 = -0*a, -5*l = 3*a + 5. Put a, 0.4, -3, 0.2 in increasing order.\nAnswer: -3, a, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4598.66 micrometers to centimeters.\nAnswer: 0.459866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**3 + 457*w**3 + 221*w**3.\nAnswer: 655*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -781*m + 4702. Let x be i(6). Calculate the highest common factor of 74 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + 0.49. Suppose -o + 4 - 3 = 0. Put o, r, 5 in decreasing order.\nAnswer: 5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-252)*-14)\/(-1).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*q = 173*q + 3840. Is q bigger than 384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w + 1. Suppose 30 = a - 4*s - s, -5*a - s + 20 = 0. Let d be g(a). Let h(p) = -1 + 2 - d - 2*p. Let x(k) = k. Determine h(x(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 10. Let s(q) = q**3 - 38*q**2 + 75*q - 100. Let n be s(36). Calculate j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28678.\nAnswer: 2, 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -166274, -166299, -166324, -166349, -166374, -166399?\n\"Answer: -25*o - 166249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 814*l**4 - 808*l wrt l?\nAnswer: 9768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1181 - -1887. Let w = d - 405. Let m = 301.386 - w. What is m rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44315772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68525.4 micrograms in tonnes?\nAnswer: 0.0000000685254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/(-28) + (-10)\/35. Which is greater: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let c = -28 - -28. Let q(v) be the first derivative of c*v + 1\/3*v**3 + 0*v**2 - 1. Determine f(q(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 227750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let f(b) = -2*b + 3. Let j(d) = 15*d - 25. Let i(t) = -50*f(t) - 6*j(t). Give i(w(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d = 70*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k - 237 = 341 - 23 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760690097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 + 11*k**2 + 98*k + 63. Let a be j(-16). Solve v - a*y = -13, 2*v = -3*v + 4*y - 35 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {z: 3, x: 2, v: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-221)\/(-16575))\/((-6)\/60)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -213.\nAnswer: -212.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 - -107. Suppose -1 = -4*w + 5*w, 0 = q + 3*w - 64. Let b = q + z. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/8)*q\/(q\/(q\/(q*q**(-5\/7))))*q assuming q is positive.\nAnswer: q**(117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(-25))*t**19 assuming t is positive.\nAnswer: t**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/3*n + 1\/6*n**2 + 121\/6.\nAnswer: (n + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464 + -1476 + (-6 - -26) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33516, 68777, 104038, 139299, 174560?\n\"Answer: 35261*z - 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Suppose 5*f = -o*p + 26, -3*f = 4*p - 6*f. Solve -4*i + p*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f + 3\/5*f**5 + 0*f**3 - 1\/2*f**6 + 0*f**4 + 0*f**2 + 18. Factor s(k).\nAnswer: -3*k**4*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611343 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 53, -1.\nAnswer: -1, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3 - 4032*m**2 - 36507*m - 32472 = 0. Calculate m.\nAnswer: -8, -1, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 + 5*d + 7. Let w be t(3). Let h = -1572 - -1574. Put 25, w, h in descending order.\nAnswer: 25, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8098*r**2 + 457*r + 6?\nAnswer: 16196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 19 - 57*n**2 + 57.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1)*u))\/u*(u**(-1\/7)\/u)\/u assuming u is positive.\nAnswer: u**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.028597 - -0.047597. Let i = -89 - -130. Let x = i + v. Round x to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*400\/(-4) - 0. Suppose 0 = 5*m - 4*x - a, m - 5*m + 111 = 3*x. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:04 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 + 16563*l**3\/2 - 96559671*l**2\/4 + 7060459077*l - 545141357523 = 0. Calculate l.\nAnswer: 159, 5362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*q, 6*i + 5*q + 20 = i. What is the third biggest value in i, 3, 2.7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*((-2 - -3) + 12\/(-18)). Suppose f - 3*y - 21 = 0, -5*f + g*y = -61 - 22. Suppose -128 = 7*r - f*r. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -75*p + 54*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, x: 1, w: 5, z: 1, h: 1, n: 1}. Give prob of picking 1 x, 1 h, 1 n, and 1 z.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t. Let m = -13 + 17. Suppose m*q + 37 - 109 = t. Solve 15 = -0*a + 3*a + l, -q = -3*a - 2*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*u**3 - 83*u**3 + 191*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 - 10*p - 3. Let g(m) = 2*m**2 + 5 + 3*m + 8 + 2 - 14. Determine 7*g(r) + 2*t(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13cb6c (base 14) to base 15\nAnswer: -d8dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1625, -6393, -14341, -25469, -39777, -57265, -77933?\n\"Answer: -1590*m**2 + 2*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 28 + 28)*(-3*b + 0*b + 4*b)*(b - 5*b + 3*b) in the form m*b + u*b**3 + c*b**2 + r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-32)*29272\/(-21954)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 23*n + 17*n.\nAnswer: 43*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011001 + -11101010?\nAnswer: 1000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 3, 0.4, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o + 4 = -3*n, -2*n = 2. Let c be o - (6\/(-3) - 1). Suppose 17 = h + 3*b, 0 = 2*h + 3*b + c*b - 30. Solve h*d - 8 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 8*c**2 + 20*c. Let a be f(-10). Suppose 5*l - 1050 + 255 = a. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l + 5*r - 35 = -34*l, -5*r + 10 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -10*x + 8, 5*m = -2*x - 3868 + 3875 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -v + 319, 7*v - c - 645 = 5*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 + 80*b**4 = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -1 + 1\/3*k**3 - 3\/2*k**2 + 0*k. Find the second derivative of v(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 20. Suppose -2*r + 34 = s. What is the greatest common factor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(704) + 1)*4 - ((-2 + sqrt(539))*-2 - sqrt(539))**2).\nAnswer: -4868 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3492 and 7\/78.\nAnswer: 45396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let b(v) = 6*v - 5. Suppose -15 + 0 = 5*c. Let j(o) = -3*o + 3. Let i = -65 - -60. Let p(w) = c*b(w) + i*j(w). Calculate p(m(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, and 1 z when three letters picked without replacement from {z: 1, y: 4, v: 1, o: 3, j: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okokkk. What is prob of sequence ok?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuuuuvuuuuu. What is prob of sequence vuuv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 70. Let b = 6.7 - -16.3. Let z = b - 25. What is the third smallest value in 0.1, p, 1\/2, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from {y: 2, s: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -3?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -14. Let c = x - 6. Solve -c*i - 1 = -2*i, 0 = 3*b + 2*i + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 2:56 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 2. Let n be z(-2). Suppose n = -4*d + 3*p, 2*d + 5*p - 8 = 3*p. Factor 6\/5*c**3 + 6\/5*c**2 + d + 2\/5*c + 2\/5*c**4.\nAnswer: 2*c*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.042? (a) -4 (b) 0.91 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 30218688?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - -0.8. Let l = x - 1.4. Let d = 1 + -1.1. Is l less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 - 8*r + 10. List the prime factors of a(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 3*d + 3*d + (-3 + 2 + 2)*(0*d + 6*d - 2*d) - 3*d + 0*d + 4*d + (-d + 1 + 7*d + 0*d)*(-2 + 2 + 1).\nAnswer: 9*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q + 1. Let j(i) = i**3 + 3*i**2 + 2*i - 2. Determine j(w) + 3*k(w).\nAnswer: w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 1267893 + 1267893.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*t - 333*t - 72 = 0. Suppose -12*p - t = -10*p. Sort -6, -2\/5, p, -0.3 in decreasing order.\nAnswer: -0.3, -2\/5, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112\/3*s**4 + 1\/3*s**5 + 1368*s**3 - 46208\/3*s**2 + 0 - 109744\/3*s.\nAnswer: s*(s - 38)**3*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -552, -569, -558, -513, -428, -297?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 10*m - 71*m + 29*m in the form n*m**2 + f*m + h and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 1 (b) -5 (c) -0.1 (d) -28022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5648000 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/417303 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728242 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 4968*s**2 - 109740*s - 199600.\nAnswer: (s - 4990)*(s + 2)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.79 - 15.89. Which is the nearest to r? (a) -1\/2 (b) -3 (c) -1\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -43. Let t be 27\/54*(-10)\/4*(5 + -1). Put z, -4, t in descending order.\nAnswer: z, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 22*x**2 + 3*x + 2. Let g(o) = o**3 - 5*o**2 + 2*o + 7. Let t be g(4). Does 7 divide c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5 - 9. Let x = -1835 - -1830. Which is the nearest to 1? (a) -3 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436490 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 86*x + 170. Give p(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, 20, -0.1, 1\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -329140034141 less than 0.3?\nAnswer: 329140034141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1256.62.\nAnswer: 251.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -928 + 926. What is the third smallest value in 2\/9, -0.067, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/99036 and 113\/882.\nAnswer: 693252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 6, r: 5}. Give prob of picking 2 v.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13268642 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/4? (a) 12 (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 841735.9 hours in nanoseconds?\nAnswer: 3030249240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 6 - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 4*h**2 + 2*h - 1. Let z(n) = n - 1. Let w be z(-1). Let i = -2 + w. Let s be v(i). What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 4, 1\/127, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 + -161 - (-1 - -2) - (6 + 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 8*w**2 + 8*w - 4. Let n be z(7). Let a(m) = -m - 6. Let c be a(-17). Let l be (2 + 14\/1)*c\/22. Solve l = 4*i + h - 7, -h = -n*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 265 in -3, 5, -8\/9, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 minus 71937.2561?\nAnswer: -72326.2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, k: 1, w: 2, f: 1}. What is prob of sequence kvf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*n**5 + 1829*n**4*s - 2*n**2*s - 7*n - 4*s + 7084 wrt n?\nAnswer: -500*n**3 + 21948*n**2*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1079, -2005, -2925, -3839, -4747?\nAnswer: -5649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*s - 484 = -490, -3*k - s = -29 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65284 by 16321.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -23*k + 20027. Let i be (-9 - -9)\/(-1 + 2). Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o - 8. Suppose o*v = 4712 + 5676. Is ((-4)\/14)\/((-14)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68177 - 5*p + 15*p + 14*p - 21770.\nAnswer: 24*p + 46407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -65, 52 = -5*s - 2*k + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 = -0*w. Let f = -5 + w. Suppose a = -a + 20. What is the greatest common divisor of f and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5320 and 7068.\nAnswer: 494760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1005 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -49) + -1 + 1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*x - 14470, -22*x + 2*k - 2897 = -23*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**4 + 5*x**3 - 5*x**2 - 10*x + 5. Let j(a) = -5*a**4 - 2*a**3 + 2*a**2 + 5*a - 3. Let v(k) = -5*j(k) - 3*y(k). Suppose v(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/22 + (0 - (-8)\/(-44)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 43893.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44715239474 - 0.4\nAnswer: -44715239474.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/(z**(-3\/14)\/z))))*z)\/(z*z*z\/((z*z**(-10\/7))\/z))*z**0*z**(-24)\/z assuming z is positive.\nAnswer: z**(-415\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-54)\/(-6) + -5. What is the third derivative of 21*o**3 + 734*o**c - 728*o**2 + 10*o**3 + 3 wrt o?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/21)\/((-162)\/(-108)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1115 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-19 - (-19 - -5)). Are b and -5\/1666 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 58*p**2 + 74*p**2)*(23*p + 15*p - 13*p).\nAnswer: 400*p**3 - 25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -448? (a) -2\/19 (b) 1\/4 (c) 1\/3 (d) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + k**4 - 2*k**3 + (0*k**2 + k**2 + 0*k**2)*(-1 + k**2 + 1) + 12*k**2 - 964*k + 964*k - 3*k**4.\nAnswer: -k**4 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -46*v**2 - 5*v + 102. Let j(a) = 7*a**2 + a - 3. Calculate 6*j(h) + o(h).\nAnswer: -4*h**2 + h + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4*-1*sqrt(153))**2 - (-5*sqrt(153)*-2 + sqrt(153))**2) + -5)*-5*-6*4.\nAnswer: -1927920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 1 (b) 2 (c) -10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-13))\/(h*h**(-1\/16)))\/((h\/h**30*h)\/(h*h*h**(-9\/7)*h)) assuming h is positive.\nAnswer: h**(4791\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 14}. Give prob of picking 3 x and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579285?\nAnswer: 3, 5, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 + 159. Let j = 10 + p. Is -101 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 + 1224*u**2 + 36804*u - 78480 = 0.\nAnswer: -30, 2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.9 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 66843627?\nAnswer: 66843627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*u**3*y**3 + 256*u**3 - u**2*y**3 - 1897*y**3 - 4*y**2 wrt u?\nAnswer: -894*y**3 + 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 258. Let z(s) = -15*s + 60. Let n(l) = 5*l - 18. Let c(i) = -10*n(i) - 3*z(i). What is c(r(v))?\nAnswer: 5*v - 1290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1418140 divided by -16684?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3982*3.\nAnswer: 11946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(50\/(-900)) + -5. Solve 0*k + w*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.008 - -1.008. Is b bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -43. Suppose 5 = k - f*a, -3*a - 2*a = k - 5. Solve -5 - 20 = k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d - 15. Let n be d\/(-2) - 2\/(-4). Let b(c) = c + 2. Is b(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from ymyymmmmmmmmmm.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 2\/1601 (b) 3\/2 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850122?\nAnswer: 2, 3, 7, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -214.21 and 364.4342.\nAnswer: 150.2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*p = 351*p + 5*t - 35, -2*t + 10 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - h**4 - h**4 + (-5*h - 3*h**4 + 5*h)*(-61 + 34 - 47) - 2*h**4 + 2*h**4 - h**4 as i*h + z + r*h**4 + n*h**2 + y*h**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(187))\/(-2*sqrt(99)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x - 3. Let f(b) = -b + 1. Let m(n) = -24*f(n) - 3*r(n). Let j(s) = 22*s + 38. Let p(w) = -5*j(w) - 12*m(w). What are the prime factors of p(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -37?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74194881, -148389757, -222584631, -296779503, -370974373?\nAnswer: -445169241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 0 + 8\/3*q - 1\/3*q**2 = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*b + 28, 2*b + 2*b = -2*d + 4. What are the prime factors of (36\/d)\/(3\/226)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. Find the second derivative of 22*p + 0*p**g + 27*p - 17*p + p**2 wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10389*u + 10393*u = -5*z - 105, 4*u = -0*z - z - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*f - 9 = 0, 0 = 4*v + 4*f - 9 - 11. Let b(t) = t**2 + 3. List the prime factors of b(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 42744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 - 9*b. Let q(o) = 3*o**3 + 3*o**2 - 7*o - 3. Let l(w) = -4*w**3 - 5*w**2 + 13*w + 5. Let y(u) = 3*l(u) + 5*q(u). Determine 4*j(c) + 9*y(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15431, 29527, 42285, 53705, 63787, 72531, 79937?\nAnswer: 86005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-30)*15\/3. What is the closest to 0 in j, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 10779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4933*l**3 + 481*l + 5189351 wrt l?\nAnswer: -14799*l**2 + 481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192 + 294. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (3 - 2\/2). Let r = u - 1. Suppose -25 = -4*j - r. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*j**6 + 45*j**6 - 16*j**6 + 2*j**2 wrt j.\nAnswer: 1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -87, -212, -389, -618?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 12:40 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047383073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 - 2*n**2 + 1. Let r be m(1). Suppose -4*g = 3*x + 7, -2*g - 2*x = -6*g - 2. What is the remainder when 24 is divided by (-11 - (r - 0))*g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3*y**4 + y**2 + y**2 + (-2 + 2 + y)*(y**3 + 3*y - 3*y).\nAnswer: 4*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 3)*(-4*u**3 + 4*u**3 + u**3) + 460*u**3 + 542*u**3 - 1197*u**3)*(-1 + 1 - u) + (2 - 2 + 2*u**2)*(3*u**2 - 7*u**2 - u**2).\nAnswer: 181*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*((-6 + 3 + 2)*(0 + i + 0) - i - 8*i - 2*i + 2*i + 0*i + 0*i) to the form y*i + c and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 41. Let x be s(-19). Solve x*t - 2 = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -92, -62, 6, 124, 304?\n\"Answer: 2*u**3 + u**2 - 13*u - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*f - 2*f, -4*j - f + 21 = 0. Let i(n) = n**3 - 4*n**2 + n + 2. Let a be i(3). Let r = a + j. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + 11370\/105. Suppose -3*f + 84 = -s. Let m = f + 7. List the prime factors of m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2664 is divided by 635.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(19)) + (sqrt(171) + 3*sqrt(171))\/sqrt(9).\nAnswer: -2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 21 = 24*u. Solve -u*s - 32 + 17 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 3, u: 1, o: 5, a: 1, w: 4}. Give prob of picking 2 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1766754 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.291, -0.1, 3\/4?\nAnswer: -3.291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 6550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b + 9. Let t be z(-7). What is the derivative of 3 - 2*s + 2*s + t + 2*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44397, -0.3, -0.87.\nAnswer: -44397, -0.87, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*x + 223140 = 79*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-20) + 0\/(-2) - 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((sqrt(2695) - (1*sqrt(2695) - sqrt(2695))) + sqrt(2695))*-2)\/((sqrt(2673)*2)\/sqrt(3)))*4.\nAnswer: -56*sqrt(5)\/9 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 417.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, h: 4, b: 2}. Give prob of sequence bdb.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrjrrrrjrrjqjcrqrj. Give prob of sequence qcjq.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.6038142 - -495.3961078. Let a = -551 + h. What is a rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27282 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2139070 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 202, 294?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(2 + 2 - 2) + 2 + 3 - 3 - 12 - 3 + 6 - 1 - 2 + 0 + 1 + 1 + 8)*(6*j**2 - 6*j**2 - 5*j**5) + (4*j - 2*j - j)*(2*j**4 - 3*j**4 + 3*j**4).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 2722224 = 37275805. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+0.444\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(180\/(-20) + 26\/10). Solve 109 = 11*d + n for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90943, -5, -1.\nAnswer: -5, -1, 90943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i - 130 = 38. Sort -5, i, -27.\nAnswer: -27, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-116)\/30) + -3. What is the nearest to 1 in r, 1\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from vsvvss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(17) + 1 + -3 - ((sqrt(85)*-2*-2 + sqrt(85) + sqrt(85) - sqrt(85) - sqrt(85))\/(sqrt(5) + (sqrt(60)*2)\/sqrt(12) + sqrt(5)))**2.\nAnswer: -17 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**3 + 5969*w - 12326*w + 6357*w - w**2.\nAnswer: 28*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245859 is divided by 18490.\nAnswer: 5489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/38 in -8, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 210*r**3 - 1620*r**2 - 4590*r - 4455.\nAnswer: -5*(r + 3)**3*(r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22303196, 89212763, 200728708, 356851031, 557579732?\n\"Answer: 22303189*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1201012311010?\nAnswer: 1201012311021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/20 + 17*c**5\/60 + 277*c**4\/8 - 9*c**2 - 13*c. What is the second derivative of i(r) wrt r?\nAnswer: 36*r + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 24*l**2 + 591*l + 88. Calculate r(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009*l = -i - 2005*l + 19, 0 = l + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 6*l - 10448. Let a = l + -10413\/8. Calculate the common denominator of -59\/70 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let k = 1 - t. Suppose 2*y + 8 = -0. Which is the closest to 0.1? (a) k (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = b + 18. Suppose b*t - 6*t = -36. Let y(n) = n**3 - n + 60. Let r be y(0). What is the greatest common divisor of r and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*k, -2*y + k = 4*k + 6. Let n be (2 + 1)*48\/9. Let x be 15\/20*n\/6. Solve -y*f + t - 10 = 0, -6 = f + x*f - 3*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884\/(-28) - 187*(-222)\/1258?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, 15, -2, -12, 0 in decreasing order.\nAnswer: 309, 15, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q + 27. Let l(v) = v**2 - 302*v + 3754. Let o be l(13). What is a(o)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23463 or 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 32*f - 125 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*k + 4*l - 1 - 5 + 2, 0 = l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 2*3*((-1*sqrt(405) + sqrt(405) - sqrt(405))**2 - sqrt(405)) + (sqrt(405) + 2)*1 + 2).\nAnswer: -7302 + 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*v - 2*v**2 - 1 - 511*v**3 + 52933*v**3.\nAnswer: 52422*v**3 - 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1512)\/(-49))\/9*(-49)\/14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*v = 29, 4*u + 2*v - 27 = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d156f + 3b?\nAnswer: d15aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 437 (b) -0.4 (c) 4 (d) 2\/23 (e) -1412\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201202230 (base 4) to base 2.\nAnswer: -101100001100010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 1. Let o(g) = 42*g**2 + 1. Give -h(d) - o(d).\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(((-35)\/40)\/(-7))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2327278 is divided by 49.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - -181. Suppose z = g - 10. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57180 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -22*b**2 - 9*b - 9. Let i(h) = -2*h**2 - h - 1. Let c(a) = -36*i(a) + 4*x(a). Let l(d) = 4*d**2. Give c(l(y)).\nAnswer: -256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to -6.81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 7 + -21 + (-3 - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u**3 + 2*u**2 - 1\/60*u**5 + 0*u**4 + 0*u + 0. Let a(r) = 4*r**2 - 4*r**2 + 3*r**2. What is v(a(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3363, 3347, 3331, 3315, 3299?\n\"Answer: -16*m + 3379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 18208840?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 647*m + 70*m + 397*m + 1114 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*i = -s - 6, 0 = 2*s + 4*i - 4. Suppose 8 = 4*z - s*h, 5*h - h + 16 = -4*z. Find g such that -4\/3*g**4 + z + 4\/3*g**2 + 4\/3*g**3 - 4\/3*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4061*x - 9. Let o(k) = -48735*k + 105. Determine 3*o(j) + 35*y(j).\nAnswer: -4070*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.07 + -20.77. Let d = 81\/2 - 575\/14. What is the closest to j in d, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 110186.841\nAnswer: -440747.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -10) + -1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 + 2 - 11\/(-11)*155 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + (9 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 8, 7*x + 5*k = 3*x - 12. Suppose 0 = -4*a + 3*q + 74, a - x*q = -5*q + 26. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/64 and -11\/544.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479200718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by (50349\/(-24))\/(-13) - (-51)\/(-136).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/7)*v)\/v**(-4\/3)*v**6*v**(7\/6) assuming v is positive.\nAnswer: v**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9020?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 281495. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d + 1. Let q(r) = -2*r**2 - 10*r - 10. Let o(c) = c**2 + 8*c + 8. Let z(x) = 5*o(x) + 4*q(x). What is z(h(j))?\nAnswer: -768*j**2 - 96*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46931620 is divided by 91?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:42 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39883, 37152, 32599, 26224?\nAnswer: 18027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -258745594\nAnswer: -129372797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 399 + 11 - 18\/3. Suppose 0 = 5*z - 2*m - 0*m - 655, -b = -3*z - m. What is the remainder when z is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*b = -8, 3*k + 5 = -2*k + 2*b. Solve i - 1 = k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c = 83*c - 416 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16383173 is divided by 269?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, 2.2, -1\/10, -3, 12\/17, 7?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 2*d - 5*j, 5*j + 2 = 5*d + 72 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016257 to 5 dps.\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05708 - 0.057. What is z rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*t - 2363 = 0, 5*r + 3*t = -0*r + 2963. Let m = r + -357. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a - 4. Let v(r) = 766*r + 823*r - 2406*r + 818*r + 1. Determine -6*v(k) - y(k).\nAnswer: 9*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 3*x - 4*x)*(-3*x**2 + 3*x**2 + x**2) + (1 - 2 + 0)*(-20*x**2 + 20*x**2 + 6*x**3).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7407250037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 13*z + 5. Does 10 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 5. Suppose t = 6*t - 180. What is the highest common factor of h and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100340 (base 5) in base 16?\nAnswer: 499d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c92cb (base 14) to base 4\nAnswer: -1312231303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.7. Suppose 0*j - 20 = 4*j. Let r be (-6 - -4) + (-12)\/(-7). Sort x, j, r in descending order.\nAnswer: x, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:49 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 9 + 1 - (9 - (-32)\/(-8)). Let g(c) = -c - 1. Let t(q) = -26*q + 6. Determine i*g(n) + t(n).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m**2 - m - 1. Calculate d(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1382\nAnswer: 2\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(76)*-1 + (sqrt(76) - sqrt(76)*-1)*-1)**2 + -4 - (-1*(-2 + sqrt(76) + -1 + -3))**2.\nAnswer: -36*sqrt(19) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*b**2 - 188*b**2 - 134*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - h**2 - 41 - 5*h**2 as j*h + n + z*h**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, z: 3, s: 1, e: 1}. What is prob of sequence ei?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**3 + 11*g**3 - 7*g**3 + (-3*g**3 - 3*g**3 + 2*g**3)*(2 - 2 + 1) + 2*g**3 - 2*g**3 + 4*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164.83 - -164.8. Which is the nearest to 2? (a) -2 (b) f (c) -0.13 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 110, 3, 5, 4, 135, -5 in ascending order.\nAnswer: -5, -4, 3, 4, 5, 110, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3464*c - 17313. Give u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(720)) + sqrt(720) - (sqrt(720) + (sqrt(720) - 6*-1*sqrt(720) - sqrt(720)) + sqrt(720)))*1 + -4)**2.\nAnswer: 432*sqrt(5) + 58324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/72 and 6\/56*(-901)\/153?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35200347 and -0.5.\nAnswer: 17600173.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**2\/7 - 50424*f\/7 - 211881648\/7 = 0.\nAnswer: -8404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -312 + 315. Solve -x*w = -2*u + 7*u + 37, 4*u + 16 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.1, -60392, -43\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3605338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4460*s - 147184. Give y(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24 and -14108.35.\nAnswer: -14084.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31 + 1)\/(15\/10). Let w = b + 13. What is w rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let m(i) = 28*i + 4. Let q(n) = -m(n) - 3*w(n). Give q(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17.3914 or 0.99?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/(t*t\/(t**(2\/9)\/t)))**27\/(((t*t*(t*t**(2\/9)*t)\/t*t*t*t)\/(t\/t**(-7)))\/(t**(-3)\/(t\/t**6))) assuming t is positive.\nAnswer: t**(817\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (-134 - -135)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*s = -52, 3*v - 4*s + 291 = 260 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396547017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:01 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 464905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 17*i**2 - 49*i + 31. Give s(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/n**(1\/7))\/n)\/n))\/(n*(n**4\/n)\/n))**10 assuming n is positive.\nAnswer: n**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 17 = 5*y, -5*p - y + 95 - 110 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15311853 by -8607.\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/7 and -95\/842.\nAnswer: 5894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -1, 0 in increasing order.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 466*c.\nAnswer: 466*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Let d(z) = 2*z + 6. Let s(n) = 6. Let b(g) = -2*d(g) + 3*s(g). What is the smallest common multiple of b(-1) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 6*p**2 - 97*p**2 - 33*p**2 - 7*p**2 - 4 - 29*p**2 to a*p + u*p**3 + i + t*p**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 - -124 - (-16 + -1 + 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21357336 is divided by 1256313?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 47 + 43 - 59 - 30*p + 32*p. Suppose 3*u + 28 = -u. Calculate the remainder when 48 is divided by a(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4139)\/41 + 108\/(-8856)*(3 - -1).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 506\/(-110) - -1.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/353107 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9122 + 3048 + 3035 - 761*g + 3040.\nAnswer: -761*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240192, -240191, -240188, -240183?\nAnswer: -240176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-21))\/((-3)\/9). Suppose 0 = -5*y - l - 0*l + 251, w*l - 2 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(27)\/sqrt(3)) + (sqrt(13)*1)**2*-3)*1.\nAnswer: -39 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(55)*-6)\/((sqrt(60) - sqrt(60)*-3)\/sqrt(12)) + -5 + (-5 + (sqrt(1331) - sqrt(1331)*-2) - ((sqrt(1331) - 1*sqrt(1331)) + -5 - sqrt(1331))))**2.\nAnswer: -395*sqrt(11) + 68751\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4047 = -4*o, 61*o + 2*m = 57*o + 4050. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*54\/(-48).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3242056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 911229 or 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5987*r - 22 = 5998*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59177 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)*a*a**(-2)\/a)\/(a\/(a*a**(-1\/5)\/a))**20)**(-17\/3) assuming a is positive.\nAnswer: a**(901\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 9*w - 14. Calculate i(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*t - 92*t + 114 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((28\/49)\/((-8)\/(-28)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d - 4. Let g(o) = 22*o - 11*o - 10*o. Determine v(g(b)).\nAnswer: -6*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 2. Let h be -4 + 0 - 3\/(-1). Let a be 1*-4 + (h - -1). Let t(m) = -6*m + 3. Give a*p(j) - 3*t(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303*b**2*v**3 - b**2*v**2 + 4765*b**2 + 35*b*v**3 + 31*b*v**2 + 11*v**3 wrt v.\nAnswer: 1818*b**2 + 210*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -591, 0.3, 3 in decreasing order.\nAnswer: 3, 0.3, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 12:43 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3\/7, 0.3, -4.\nAnswer: -27, -4, -3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -12. Let a = 8 + o. Let g = a + -10. Sort g, 13\/3, 0.4.\nAnswer: g, 0.4, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -81, -105, -149, -219, -321, -461?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 12 - (41 - 55)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/20 and -37\/2428.\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/s*s**1)\/(s*s**(1\/4))**(-13) assuming s is positive.\nAnswer: s**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + (-5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22031 is divided by 78.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - f**4 - 16*f**3 - f**2 - 17 + 52 - 16 + f to the form z*f**2 + g*f**4 + m*f**3 + q + c*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4\/8 + 513*a**3\/8 + 4419*a**2\/8 + 7215*a\/8 - 6075\/4 = 0.\nAnswer: -162, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(275) - (0 + -1*sqrt(275)))*3 + -5)**2*6 + -3.\nAnswer: -5400*sqrt(11) + 534745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -399, -389, -365, -321?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15450 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.002 (b) 0.067 (c) 77 (d) 2\/3 (e) -9\/4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(144) + 0.\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -65?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-25)\/(-30)*4\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*-6 - 3\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/5 - (-55528)\/(-45540). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4083015263 to the power of 1\/3, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 less than -1183?\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000006620268 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 547\/(-384) + (-6)\/(-9). Let q = -1\/128 - r. Let o = 1.1 - -3.9. Which is the second biggest value? (a) q (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -b - 4*c, 4*b - 12 + 1 = -3*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 160 = -20*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = 42*a - 23*a - 22*a + 10*b, 0 = 5*a + 4*b + 137 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333 + 2110?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let n(g) = -409*g**2 + 1. Calculate s(n(i)).\nAnswer: -818*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 - (15 + -15). Suppose 2*z - 4*b + 7*b - 130 = g, -2*z + b = -138. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*i - 2 - 43, -i + 121 = 5*r. Let w = 48 - r. Suppose 35 = 3*h + w. Solve -h = g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - v**3 - 20*v**3 + 8*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2)*(3 + 0 - 1) + 0 - 5 + 3 - 16 + 45 + 60)*(5*v - v - 3*v) to q + p*v and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -421?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 32.98. Let z = o - 32. What is the nearest to -0.4 in -0.3, 0, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(10 - (-442)\/(-39))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101018666 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 64 - 46)*(-65*n**3 - 7*n**3 - 4*n**3).\nAnswer: 228*n**4 - 1368*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213020 minus -35911?\nAnswer: -1177109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 12*c + 4. Let g be a(12). Suppose g*i = 5 + 7. Let m be i - (1 - 53\/1). What is the greatest common factor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - c + c + (6*c**2 + 0*c**2 - 4*c**2)*(1 - 1 + 2) + 5*c**2 + 18*c - 18*c to the form h*c**2 + o + a*c and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 7*g - 6. Let d = 256 - 219. Let x(t) = -11 - d + 72 - 14*t**2 - 13*t - 13. Calculate 11*q(s) + 6*x(s).\nAnswer: -7*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 622450 (base 7) in base 12?\nAnswer: 51801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 24 - 114 = 0. Solve -f - 3*h + p - 23 = 0, -5*h - 25 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2. Let c(x) be the first derivative of 0*x + 31\/2*x**2 + 14. Calculate c(k(s)).\nAnswer: -62*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68*-2*96\/(-128). Suppose 0 = -22*y + 822 + g. Suppose -31 + 1 = -5*f. Calculate the greatest common divisor of f and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(-22 - 1463\/(-66))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/71 - 155\/923. What is the nearest to 1\/4 in -1\/2, 0.4, -0.1, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)*y**6)**19 assuming y is positive.\nAnswer: y**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 131060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0)*-3*2.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(-2*sqrt(76) + sqrt(76)))\/(sqrt(8)\/(2*sqrt(2))) + 5.\nAnswer: -8*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k, 4 = -2*y - 7*k + 3*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 129*q**2 + 549*q - 686. Give o(133).\nAnswer: 1575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/15 - (-2)\/5. Let o = 175 + -171. Suppose o*s - 313 = -c. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209221, 209680, 210139?\nAnswer: 210598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/(h*h*h*h**(-1\/17)*h) assuming h is positive.\nAnswer: h**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.18191 to 1 dp.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 29*m + 83. Let n be o(-5). Suppose 9 = 24*d - n. Suppose f**2 + 1\/3*f**4 + 4\/3*f**d + 0 + 0*f = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/9 + 1387228*o**3\/9 - 71273873622*o**2 + 10985703476326524*o + 54930299247740295 = 0. Calculate o.\nAnswer: -5, 462411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -d?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11970 and 1710.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23013, -23012, -23011, -23010?\nAnswer: -23009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106698769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18441 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 - 153. Suppose 0 = -4*v + 31 + z. What is the second derivative of 16*n - 15*n - 22*n**2 - v - 18*n**2 + 10*n**2 wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*a**3 + 8*a**4 + 27*a**3 + (0*a**3 - a**4 + 0*a**3)*(3 - 4 - 1) + (0*a**2 + 0*a**2 - 2*a**3)*(-14 + 14 - 10*a).\nAnswer: 30*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3785 + 30233\/8. Calculate the common denominator of ((-6)\/(-16))\/((-63)\/2380) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1756, -1768, -1804, -1876, -1996?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-6)*3\/(-2). Suppose -k = 5, -u*h + 379 = k + 44. Suppose -246*y + 5202 = 60*y. Calculate the greatest common factor of h and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 6, -22, 1, -39 in descending order.\nAnswer: 31, 6, 1, -22, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-410 - 38*g + 410)*(2*g - 3*g - 3*g)*(1 - 5 + 3)*(-4 - g + 4).\nAnswer: 152*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*o - 11*o - 5*o**2 + 11*o**2 + 5*o**2 to the form b*o + d + v*o**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 8*p + 6. Let z be n(-8). Let a(m) = -m**2 - 6*m - 3. Let c be a(-5). Let r be 0 + c - (-3 - -3). Solve -r*x = x + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 20. Suppose 134 = 4*k - j, -2*j = 5*k + 71 - 245. Calculate the remainder when k is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 1. Let w be p(1). Suppose -w*q + 136 = -108. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672884079 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:07 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44196 to two decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6471*o**3 + 1420.\nAnswer: 19413*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/18 and -79\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 502 and 689466445?\nAnswer: 689465943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2, 4.8071, 2\/7, -0.2 in ascending order.\nAnswer: -3\/4, -0.2, 2\/7, 2, 4.8071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 8:13 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19249 + 22917. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcmcubmzbmdduc. Give prob of sequence cdm.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18685 divided by 5?\nAnswer: -3737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*y - 4*y = -5, -3*y + 13 = 4*d. Let z be 2\/24*32\/(-12). Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 3*n**2 - n. Let g be k(2). What is the units digit of (3\/6)\/(1\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = s - 8, 365*s + 57*f - 733 = 56*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4760 - -5387. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, -5, -34, -83, -152, -241?\n\"Answer: -10*m**2 + 21*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/(-210) + (-1)\/(-5)*(2 + 0).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*o + 68*o + 30. Differentiate -o - b + 10*b + 0 + 0 wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1033.6093 to zero decimal places.\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/(-6)*(-1620)\/126. Let y = l - -287. What are the prime factors of y?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4397704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**1))**(-24)\/(z*z**(1\/4)*z)**(2\/45))**(-10\/7))**(-4\/7) assuming z is positive.\nAnswer: z**(-964\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 4597472.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -0.3 (c) 4 (d) 0 (e) 7.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11000010 (base 2) to base 9\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 610?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 84\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*g**3*y + 39*a*g**2*y + 407*a*g*y - 17*a*y**2 - 4*g**3*y**2 - 334*g**2*y**3 wrt y.\nAnswer: -34*a - 8*g**3 - 2004*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**2 - 13*k - 118. Let s(t) = -32*t**2 - 38*t - 334. Determine 17*i(o) - 6*s(o).\nAnswer: 5*o**2 + 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 3)*(0 - 1 - 2) + 2 - 3 + 3)*(-3*c + 5*c - c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-1))\/((-4)\/(-14)). Let i be 0 - (2 - (-32)\/g). Factor 0 + 2\/7*r**2 + 0*r - i*r**3.\nAnswer: -2*r**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/(-50))\/(-1 + (-102)\/(-100)). Let h be 15\/a - -1 - 13\/(-5). What is the second derivative of 13*j**h + j**2 + 3*j**3 - j**2 - 30*j wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-5\/7)*(l\/(l*l**0))**(-46))\/(((l*l**(-3\/7))\/l)\/l**(-1\/7)*(l**(-2\/7))**(-1\/15)) assuming l is positive.\nAnswer: l**(-47\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 194*g - 54. Let z be n(-15). What is the units digit of 6\/(-18) - 5\/(45\/z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 1:00 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 664298?\nAnswer: -664292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -162*h - 6604. Calculate the smallest common multiple of 64 and t(-70).\nAnswer: 4736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*-2*(-240)\/792*11.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -33410220101?\nAnswer: -33410220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0944 rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1494024629, -1494024628, -1494024627, -1494024626?\nAnswer: -1494024625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 - 4*w**2 = 0. Calculate w.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k - 3. Give q(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**5\/3 - 7927*a**4\/3 - 160186*a**3 - 6458276*a**2\/3 + 21952154*a\/3 + 1961401 = 0.\nAnswer: -31, -1\/4, 3, 2041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193*b**2*c**2*q**2 + b**2*q**3 - 73*b*c**2*q**2 + b*c*q**3 - b wrt b?\nAnswer: -386*c**2*q**2 + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 187\/(-11)*(-9 - 42\/(-6))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.883 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -110110001010011 (base 2) to base 16\nAnswer: -6c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.2944\nAnswer: 1.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/32)\/((-450)\/40). What is the third biggest value in -3\/4, 7\/5, o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117492 (base 10) in base 2?\nAnswer: 100010000110100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(6*(-28)\/48).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -872367 and 255.27.\nAnswer: -872111.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.28724876 - 603.098\nAnswer: -603.38524876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 0.1. Let s = w + 0.1. Which is the smallest value? (a) s (b) 1\/8 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**6*p*p\/(p**(-1\/12)\/p*p))**44\/(((p\/p**6)\/p)\/p**(-2\/15))**(2\/15) assuming p is positive.\nAnswer: p**(-28699\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570.2 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x + 248 = -11*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = 2*k - 3*k, 4*k = -4*v + 32. Suppose -3*s + 196 = -k*w, -5*w + 90 = s - 7. Suppose -s = -2*i + 4*a, 0*a + a + 135 = 5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158009?\nAnswer: 158009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18*y - 16. List the prime factors of n(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4*v - 4 + 4*v. Let x(t) = 6*t - 27. Give 27*g(n) - 4*x(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 + l - 1. Let b be f(4). Let c = b + -6. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/78 + (-7)\/39.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*w + 25*w - 10*w)*((2 - 2 - 44*w)*(2*w - 5 + 5) + 3*w**2 + 0*w**2 - 5*w**2) to f*w**3 + d*w + t + j*w**2 and give f.\nAnswer: -3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 1 + (-62 + 49 - (6 + -35)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) - 2 - (14 + -17). Let y be (j - (-21)\/(-12))*0. Solve -5*r + 8*r - 15 = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 76716?\nAnswer: 76716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3105 and 9260490.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 64 = -u + 45, 0 = -4*a + 4. Calculate the smallest common multiple of 36 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.015 + -0.015. Let g = -28 + s. Let l = g - -4.9987. Round l to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(209) + 1*sqrt(209)) + sqrt(209) + -6*(sqrt(209) - (sqrt(209) + sqrt(209)*-1)))\/(sqrt(2156)*-1 + sqrt(44)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(2 + -2 + -1). Suppose w*f - 3*f + 4200 = 0. What is f rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.94 - -0.06. Let k = -2.8304 - 8.1608. Let j = k + l. What is j rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*x**5*z + x**5 + 1078*x**2*z - 2*x*z + 2*z wrt x?\nAnswer: 9240*x**2*z + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*494*44\/6270.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8950 - -9294. What is the highest common divisor of 301 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 122. Determine o(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18964354 divided by -53\nAnswer: -357818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000248016 to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 6*o + o**2 + 17*o.\nAnswer: o**2 + 32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*a**3*b + 742487478*a**3 - 1672110*b wrt b?\nAnswer: 69*a**3 - 1672110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 3*g**2 + 30*g + 138. What is the least common multiple of j(-4) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308824, 309000, 309294, 309706, 310236, 310884, 311650?\nAnswer: 312534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167886 + 0?\nAnswer: 167886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-615.5\nAnswer: -615.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -530904\nAnswer: 13\/530904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 39 = y. Let b be (1 - -1)\/(1\/26). Calculate the greatest common factor of b and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(8\/5 - 2). Solve -m - r = 5*l - 6*m, m = -2*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/16)\/((-1)\/(-20)). Suppose -h + u*n = -3, h = 3*h + 3*n + 7. Which is the smallest value? (a) 5 (b) 1 (c) -0.4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -8.07221.\nAnswer: -7.77221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence linn when four letters picked without replacement from ljnii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, -195, -573, -1113, -1821, -2703?\n\"Answer: -w**3 - 72*w**2 + w + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0*o**4 - 3\/10*o**6 + 0*o**2 + 10*o + 4\/3*o**3 + 0*o**5 + 0. What is the second derivative of k(x) wrt x?\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 108 - 2*x**3 - 110 + 115*x + (x - 4 + 4)*(x**2 - 2*x**2 + 3*x**2) - x + 2*x**3 + x to c*x**2 + f*x**3 + t*x + w and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 4 - (-1818)\/9. Let s = a + -6530\/33. Find the common denominator of -83\/12 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 443?\nAnswer: 5\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.939 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3808447.25 rounded to the nearest 1000?\nAnswer: -3808000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001751634 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -171620258 smaller than -171620260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2))\/((-71)\/142)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y**2 + 38 - 38)*(-3*y**2 - 2*y + 2*y + (4*y**2 - y**2 - y**2)*(-1 + 4 - 4) + 4 - 7*y**2 - 4).\nAnswer: 180*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7391228141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703574 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1327*j - 32634. Determine b(-24).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -46. What is the lowest common multiple of p and 34?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 4*t**2 + (-5 + 0 + 0)*(3*t**2 - 3*t**2 + 8*t**2).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*m + 5*m. Suppose -a + 4*a - 53 = 2*x, -m*a = -x - 69. Solve 0 = -i + y + 3, -a = -5*i - y + 5*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Let f be ((-40)\/(-9))\/(-5) + 1. Which is the second biggest value? (a) -2\/13 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52266940 divided by -370.\nAnswer: -141262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/7*g**3 + 8\/7*g**2 - 6\/7 - g + 4\/7*g**4 = 0. What is g?\nAnswer: -2, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.9. Let z = g - -0.1. Let i = 21 + -20.8. Which is the smallest value? (a) i (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 1974.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*f + f - 1840003 = 0, 3*q = f + 1380003. Round q to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -146*l + 141*l. What is the smallest common multiple of 15 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, -2, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384\/(-40) + 12)\/(4\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -25. What are the prime factors of 76\/b + (-2)\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)\/b*b**(-1\/4)\/b*b*b*(b**(-3\/7)\/b)\/b*b*b\/((b*b**(-6))\/b))**(1\/8) assuming b is positive.\nAnswer: b**(661\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 242477003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(3) - ((sqrt(45)\/sqrt(3))\/sqrt(5) + sqrt(3))**2 - sqrt(3)) + 4 - ((sqrt(9)\/sqrt(3))**2 + 2 + -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91677\/11 + 8319. Let z = -551\/44 - n. Is z at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 10 = -5*v. Is -11 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38322, -153641, -345830, -614883, -960794, -1383557, -1883166?\n\"Answer: g**3 - 38441*g**2 - 3*g + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**3 + 11*v**2 + 3*v - 14. Let g(f) = -3*f**3 - 4*f**2 - f + 5. Let x(a) = -17*g(a) - 6*o(a). Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*g - 40969 = -12098, -a + 28843 = 2*g. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 + 8 + 0 + 0) - 19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205405639307 - 0.3.\nAnswer: 205405639306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29806 = -1929*a - 12383 - 4107 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -317945, -318067, -318189?\n\"Answer: -122*t - 317823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267501651*k**2 + 5*k + 26282849.\nAnswer: 535003302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7\/l)\/l*l\/(l*l**(-5\/4)))\/(((l*l**11*l*l)\/l)\/l**(-11)) assuming l is positive.\nAnswer: l**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1067\/60 + -283\/20. What is the common denominator of n and 76\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Let b(v) be the first derivative of v**2\/2 - 4*v + 4. Let c be b(i). Let t(x) = x**2 - x + 12. Determine t(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809945 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*p - 3*p + 6 = 0, -5*p - 7 = -4*x. Suppose 0 = -z + 4*q + 16, 3*q - 48 = -x*z + q. Solve 2*k = -3*h - 2*k - z, -2*k - 8 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 6*j**2 + 8. What is y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3 - 4. Let s be ((-10)\/20)\/(l\/(-86)). Suppose 63 = w - 2*y - s, 2*w + y = 217. Is 42 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10536.999999219 + 10537. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:12 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 747 - -1809. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -109 + 259 + 7130*a**2 - 149 as u*a + k*a**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 9*m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 42. Calculate the common denominator of -69\/14 and 2\/(-11) - q\/44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -56. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2\/5*a - 2\/5*a**2 + 2\/5*a**3 + 0 + 2\/5*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from kdhwkdi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-19)\/r)**(-33\/5)*r\/(r*r*r**(-5)*r)*r**(-19\/2) assuming r is positive.\nAnswer: r**(251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(98) + sqrt(98) - sqrt(98))\/sqrt(2) + sqrt(49) + -2*sqrt(784))\/((sqrt(7) - (-4*sqrt(70))\/sqrt(10))*-5).\nAnswer: -1 + 6*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.056 - 0.556. Let o = 563\/3 - 186. Let y = 4\/3 - o. What is the closest to y in -2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33343 + -11.3748.\nAnswer: 33331.6252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 80*j**2 - 295*j - 220.\nAnswer: -5*(j + 1)*(j + 4)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00384 + -0.0039. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 51.6. Which is the closest to 0? (a) -0.3 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69305*v**3 + 90593*v**3 - 125867*v**3 - 147754*v**3.\nAnswer: -252333*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 9*y - 1. Suppose -y = 3*r - 49. What is the remainder when (-274)\/(-6) - (-1)\/3 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1129*c - 11190. What is the remainder when 6599 is divided by m(-10)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141818553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4740 - 4985.9. Let u = -245 - r. Round u to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -219 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21197 and 302170.\nAnswer: 14201990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 5\/3*p - 1\/3*p**3 + 4\/3*p**2.\nAnswer: -(p - 2)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -497, -1734, -4103, -7964?\nAnswer: -13677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r = 8*r - 44 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*n**2 - 52 - 45*n**2 + 33 - 3*n + 26 in the form b + d*n + p*n**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:38 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884*p**2 + 896*p**2 - 1777*p**2 + 718.\nAnswer: 3*p**2 + 718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b + 13037?\nAnswer: 13075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 213.659 - -0.341. Let q = -213 + n. Let o = -3\/107 + -187\/963. What is the nearest to 1\/3 in q, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 18. Suppose -5*z - 4*o = t, -4*z - 4 = -z - o. Let u = 1 + z. Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -58935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 13. Let d = 31948 - 31937. Let o(c) = 10*c + 66. Calculate d*h(m) + 2*o(m).\nAnswer: -2*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.58 - -431?\nAnswer: 1058.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24985.\nAnswer: 5, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15458 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 63*r + 60)*(3 + 2 + 0).\nAnswer: 315*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3838468*x + 3838466*x + 139, -3*i + 3*x - 78 = 0 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(3*y - 8 + 8)*(-2*y - y - y)*(3 - 6 + 1).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 2*u + 7, 37*u = -y + 41*u + 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225823639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78460 - 0.33?\nAnswer: -78460.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 5026698. Let w be z(0). Suppose -3*y - w = 1273302. What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 p, and 1 s when four letters picked without replacement from ttgpfgtftptas?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*d = 40, 3*b + d - 38 = -d. Suppose 0 = -3*q - 4 + b. Let y(x) = -2*x + q + 2 - 5. Determine y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 7*w**2 - 6*w**2)*(-3*w + w + w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 14. Suppose u*v + f - 1047 - 79 = 0, -2*v + 5*f + 472 = 0. Suppose -3*a + 4*l = 7*l - 660, -a - 4*l + v = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from asafi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*j - 35. Suppose -2*o = 3*o. Let g(y) = 2*y**2 + y**3 - 7*y + o*y**2 + 2*y**2 - y**2. Calculate g(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 + 93060*v**3 + 200097*v.\nAnswer: -12*v**2 + 558360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 34. Let t(z) = 228*z - 612. Let m(j) = -7*t(j) + 126*v(j). Let l(d) = 9*d. Calculate l(m(s)).\nAnswer: -13230*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4)*(-24)\/16. Let y(t) be the second derivative of -1\/3*t**2 + 0 - t - 2\/9*t**g - 1\/18*t**4. Find j, given that y(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 13*h - 21. Let f(l) = 13*l**2 - 40*l + 62. Let d(z) = -2*f(z) - 7*t(z). What is the remainder when d(7) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 4\/(8\/6*3\/6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 1, q: 1, i: 1, v: 1, s: 2, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*f - 138*f - 131*f + 136*f**2 + 2*f**3 - 5*f**4 wrt f.\nAnswer: -120*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 326, 3\/7 in decreasing order.\nAnswer: 326, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13818?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1718817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 (base 10) in base 6?\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((1*sqrt(171)*-6)\/(-5*sqrt(9)*2))**2)*-6.\nAnswer: -276\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3\/(-9)*-118350. What is m rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-201)\/39 + (-8)\/(-52). Let f = 50 + -49. What is the closest to f in 0.3, d, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7\/2, -0.5, 3, -5, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1471596778 and 8854.\nAnswer: 8854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 19*k**2 + 34*k + 72. Let a be l(-8). Let y(q) = q**2 + 4*q - 40. Determine y(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15.3? (a) -0.3 (b) -2 (c) -0.1 (d) -23\/8 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.924 + 41.22436. Let n = s + 1.7. Round n to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j - 1. Let a(f) = 2*f**2 + 5*f + 5. Let u be 230\/(-805) + 10\/(-14). What is u*a(r) - 3*c(r)?\nAnswer: r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 57*f - 540 = 0. Solve r = -3*r + 4*p, -4*p = f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 8. Let q(c) = c**2 + 2*c. Let m be q(-2). Differentiate -5 - 13*g**h + g + m - g with respect to g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.25 minus 78?\nAnswer: 514.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -264779676, -264779675, -264779674?\n\"Answer: k - 264779677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 24 + 11)*(-5*m**2 + 4*m**2 - 14*m**2).\nAnswer: -750*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.14 - 9.64. What is the biggest value in -4, -5, b, -26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 504540436 + 4?\nAnswer: 504540443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 480167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114, -111, -108?\n\"Answer: 3*w - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 33 + 5*c + 256*c**2.\nAnswer: 256*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**4 + 3*t**3 + 5*t**2 - 45*t + 52. Let g(u) = 3*u**4 + 5*u**3 + 11*u**2 - 90*u + 103. Let k(d) = -5*c(d) + 2*g(d). Factor k(w).\nAnswer: (w - 3)**2*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/108 and 35\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19994, 40062, 60070, 79988, 99786, 119434, 138902, 158160?\n\"Answer: -5*p**3 + 20103*p - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6420 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73836 and 41692?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 54863*x + 1. Let p(r) = r**2. Determine l(p(d)).\nAnswer: 54863*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6, -13, 741\/23, 5, 41 in descending order.\nAnswer: 41, 741\/23, 6, 5, -0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i + 214 - 269. Which is the second smallest value? (a) 4\/3 (b) i (c) 3 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*q - 116595 = 0, 5*q - 18 = -13. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 16*a - 37. Let u be z(-18). Let m = u - 101. Is (3824\/(-64))\/(-2 - m\/88) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -4. Suppose q + 31 = -5*v. Calculate the remainder when (-193)\/(-5) + v\/15 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -21, -1, 1 in descending order.\nAnswer: 10, 1, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 20 + 5\/3*t**4 - 15*t**3 + 5\/3*t**5 - 25\/3*t**2 + 80\/3*t = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.87777 and 14212.86.\nAnswer: 14216.73777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*(-6)\/2. Suppose 0 = -2*m - u, t*u + 2 = -4*m - m. Let i = 9 + m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17543 + -17532. Solve 16*h = -4*b + 11*h + 21, 2*h - j = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -571641 - 600?\nAnswer: -572441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.00172 + -0.09828. What is the closest to q in 2, -614, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169560661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzqqqquuuq. Give prob of sequence hzqq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 - 1 = 0. Let i be ((-6)\/(-10))\/(f\/5). Solve -i*c = -4*c - 5*j - 23, 2*c + 10 = -j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/31)*k)\/k)\/k*k**(1\/22))\/(((k**(-26)*k)\/k)\/(k*k\/(k\/(((k\/(k*k**(1\/4)))\/k)\/k))*k)) assuming k is positive.\nAnswer: k**(33909\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, c: 3}. What is prob of sequence omcc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 + -4. What is the second biggest value in 2, x, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + -11 + 9*7. Let k = 65 - j. Suppose -p - k*p = -2103. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*h + 0 - 124*h + 4.\nAnswer: 549*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1899 - -1897 - (-4 - -3 - (55 - -3))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -329, -291, -269, -269, -297?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - 4.11. Let t be (-2358)\/(-42) + 0\/2. Let d = t + -56. Which is the biggest value? (a) u (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubu when three letters picked without replacement from kuylbzylu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*f**2 - 99*f**2 - 91*f**2 + (-2 - 6 + 0)*(-4 - 1 + 4)*(-f**2 - f**2 + 3*f**2).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 138 = 5*q, -x = -3*q + 6*q - 82. What is the remainder when 57 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + h**4 - h**5 + h**3 + 2*h**5 - h**3 + (3*h**2 - 3*h**2 - h**2)*(-2*h**3 - 1 + 1) + 2*h**5 + 38 - 38 + 3*h**5 - 2*h**5 - 5*h**5.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 135173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(4\/(-6) + 2). Suppose 2*d - 3*d + 2 = 0. Let f(m) = 2*m**3 - 51*m**2 - 26*m + 5. Let v be f(26). Put d, j, v in ascending order.\nAnswer: d, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n - 1076. Determine f(-108).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/30 + i**4\/8 + i**3\/3 + 7*i**2. Let c be l(-2). Suppose 0 = -2*m - 3*m - 20. Sort m, c, -5.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 - (-8 - -32). Let i = -23 - z. Suppose 0 = 4*q - 2 - 14. Solve g - f - 2*f = -3, -f = -i*g + q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 6. Let f be s(-3). Suppose 2*d + 0*r + 6 = -2*r, -r - 7 = -f*d. What is the units digit of 1\/d*(15 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 22. Let w be -1 + 213 + 1 + -5. Suppose -6*k + w = -y*k. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 375*l + 171*l + 150*l - 1.\nAnswer: -54*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 463547*2.87\nAnswer: 1330379.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23471359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p = 25*p - 30000. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 25*k**3 + 10*k**3 - 28*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41150375 to the nearest integer?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/21)\/((-21)\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*s - 10, -2*i - 2*s - 26 = 2*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/(5\/10). Let z = -2.7 + -0.3. Let r = -7 - z. Which is the second smallest value? (a) r (b) m (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 8 + (12\/15 - (-44)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -w - 7, 3*w = -5*c - 10 + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*102*(-69)\/276.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhqqhuhqqqhqu. What is prob of sequence qquq?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-21675603)\/3096515 - -7). Let u = k + -60072931\/167211810. Calculate the common denominator of u and -61\/6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(9\/10))**47 assuming o is positive.\nAnswer: o**(-423\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1031 + 204 - 161)*(3*k + 4*k - 5*k) + (-2 + 0 + 4)*(-2*k + 0 + 0).\nAnswer: -1980*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(28))*5.\nAnswer: -50*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 12) + (-127 - -191) - (9 + 4).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -33. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let o = -3 - -4. Suppose -k - 3*k + 4 = 0. Let i = o + k. Calculate s(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31b62 + b67?\nAnswer: 32b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 25*n**5\/4 + 415*n**2 - 655*n. What is the derivative of d(f) wrt f?\nAnswer: 375*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -7*q**2\/2 + 7*q - 1. Let p = -756412 + 756415. Let h(i) = -4*i + 4. Determine p*d(m) - 5*h(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*w**4 + 2*f*w**2 - 143*f*w + 407*w**4 - 8 wrt w?\nAnswer: -24*f*w**2 + 4*f + 4884*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:20 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:20 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) + sqrt(63)\/sqrt(7) + sqrt(9))*-1)\/(-6*sqrt(3)*1 + sqrt(3)))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79, -154, -229?\n\"Answer: -75*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-3))\/((-17)\/714*-14). Suppose 4*h - 20 = -4. Suppose -o*b + 26 = -h. What is the smallest common multiple of b and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2915.8 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29*g**2 + 438*g + 1751. Determine v(-4).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 10*u**2 - 335614 - 9*u**2 + 335615 - u**3. Let b = 2 + -5. Give m(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.021\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41926 (base 11) in base 2?\nAnswer: -1110111001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 10*f**2 - 8*f - 6. Let r be ((-2)\/5)\/((-3)\/(-90)). Let j = r - -21. Let h be y(j). Solve i - 7 = -h*b, 0 = -4*b + 3*b + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 5 (c) 8 (d) -0.149 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 - -0.1. Let x = -4 - h. Which is the closest to 2\/3? (a) 3 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*o - 3942 = -260 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - 7) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(152) - ((3*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152))))\/(sqrt(80)\/(sqrt(40)\/sqrt(4)) + sqrt(288)*-2) + 0.\nAnswer: -18*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**30*n))\/(n*(n\/((n\/(n\/(n**24*n*n)))\/n))\/n)*(n*n**19)**47 assuming n is positive.\nAnswer: n**934","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.596 - 1.5. Let p = -0.004 - s. What is the fourth smallest value in p, 0.5, 0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -6. Suppose -d - 2*d = s. Let f be (d\/(-2))\/(12\/16). Solve 4*k = 5*c + 21, 5*k - f*c = 6 + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 257.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -1) + (-9 - -4). What is the units digit of (-3 - a) + (-3)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4 + 260*a**3\/7 + 1272*a**2\/7 + 540*a\/7 - 486\/7 = 0.\nAnswer: -9, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*h + 9, -2*h = 5*q - 3 - 3. Suppose 5*s - o + q - 16 = 0, -4*s = 4*o - 32. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8885*z + 0 + 8882*z - 7 + 7.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.10752 - 19.2. Let x = -0.98 - -0.89. Let p = x - y. What is p rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 9:40 PM?\nAnswer: 297","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -23, -16, -9, -2, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 357, 0.28, 2\/7, -50, 0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*916148.\nAnswer: -4580740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*239*(-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 311 + -275. Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 1 + 7 + 8 - (7 + -1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:32 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5212 - -5223 - (3 + (89 - 1))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1002 by 167.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138007.\nAnswer: 13, 87539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s. Suppose s*f - 21 = -f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 93. Suppose 2*q = -v + 20, -3*q + 72 = 3*v + i*v. Suppose -5*s + 5 = 0, -2*s = -5*w + v + 11. Solve 7*u - 6 = w*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 67.998. Let i = 0.7 - -0.3. Let f = i - u. What is f rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 179203480*u - 1605694362205520 = 0. Calculate u.\nAnswer: 17920348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2*x + 4*q**2 + 20*q + 15*x wrt x?\nAnswer: -q**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2899675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1003 + 5?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196*y - 3649*y - 4120*y - 3027*y - 2*y + 1638*y.\nAnswer: -10356*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -0. Let k(i) = 2*i - 55. Let a = -71 + 99. Let c be k(a). Solve 2*t - c = 5*w, -t - 2*t + s = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28761026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 33128*j**4 - 10*j**3 + j**2 - 33115*j**4 + 66245*j**4 - 2 to v*j**2 + n*j + m + c*j**4 + l*j**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2 + 8*k + 6. Let o be a(4). Solve v + o = 3*u, 0 = -4*u + v - 2 + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millennium in years?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17584, -17571, -17548, -17515, -17472, -17419?\n\"Answer: 5*s**2 - 2*s - 17587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-45)*g*g**38*(g\/(g\/g**(-3\/7)))\/g**(-14) assuming g is positive.\nAnswer: g**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21119 by -27181.\nAnswer: -3017\/3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 + -170. Let b = j - -19. Calculate the remainder when b is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, -3, -36028 in decreasing order.\nAnswer: 4, -3, -9, -36028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36008 (base 11) to base 10\nAnswer: 51917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154725007.\nAnswer: 167, 541, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, d: 2, j: 2, i: 2}. Give prob of picking 2 s and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-323*c - 391*c - 22*c)*(-6*c**3 + c**3 + 3*c**3) + (c - 5*c + 2*c)*(c**3 - c**3 + c**3) in the form h*c**2 + n + d*c**4 + f*c**3 + m*c and give d.\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - l**3 + 0 + (-7*l + 2*l + 3*l)*(l + 2*l - 5*l)*(3*l + l - 6*l + (l - 5*l + 3*l)*(-4 + 5 + 0)).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30821 + -30827. Let i(t) = t**3 - t**2 + t. Let q(n) = 8*n**3 - 6*n**2 + 3*n. What is h*i(g) + q(g)?\nAnswer: 2*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261 + 267. What is the second biggest value in 1\/6, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318882228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -175\/33?\nAnswer: -175\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*y**3*z - 557*y**3 + 24136*y**2*z - 29827*y**2 wrt z.\nAnswer: 18*y**3 + 24136*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.68347 to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 10)\/(3\/3). Solve 2*a - 4*g + 7*g + i = 0, 5*a + 2*g = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021425646198 rounded to seven dps?\nAnswer: -0.0214256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 16*q - 25. Let u be z(2). Suppose 11*b = u*b + 10132. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12214.13 years in centuries?\nAnswer: 122.1413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l + 6. Let v be (-18)\/l*3\/(-45). Put -5, v, 5 in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + 19. Let a be 354\/45 - 8\/(-60). Let i(h) = -h**3 + 5*h**2 + 27*h - 16. Let q be i(a). What is the highest common divisor of q and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0348, 2\/397, 4, -15, -2\/3.\nAnswer: -15, -2\/3, -0.0348, 2\/397, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1500 (b) -0.4 (c) 0.5 (d) 9.75 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008360472 rounded to 4 dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.119, 2\/13, -0.4 in ascending order.\nAnswer: -0.4, 0.119, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7500061 + -0.75. What is s rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-504) - (1 - 15\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5996.7145 rounded to the nearest ten?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52731524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 41.5. Let t = g - -0.5. Let o = t + -12.0045. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*j - s + 12, -j = -5*s + 2. Let r(a) be the first derivative of 0*a + 5\/2*a**2 - j. Let y(h) = 6*h. Determine -3*r(w) + 2*y(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/(-6))\/(2\/4). Let i = 29 - s. Let u = 10 - -17. What is the greatest common divisor of i and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -1909\/12. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*k**2 + 714 - 714.\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*g + 2*x - 1177, 3*x + 1169 = 4*g. Let d = -2047\/7 + g. Let j = d + -50\/63. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1474 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2 = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d, 128*x = 124*x - 3*d + 517. Calculate the remainder when x is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ca1 (base 13) to base 2.\nAnswer: 1100110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6402013 is divided by 7479.\nAnswer: 7468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1724.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13313673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - (-11220)\/(-75). Let g be (-1314)\/(-4) - (-6)\/12. Let v = g + c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23867 + -23866.9609956. Let o = -0.039 + k. What is o rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 11*n**2 - 7*n - 20. What is the remainder when 59 is divided by m(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - 5. Let q(t) = t**3 - 7*t**2 + 3*t + 1. Let r be q(6). Let p = -5 - r. Calculate the least common multiple of p and o(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.1, -296.9, -265\/4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 5 - (sqrt(539) + sqrt(539) + 1)**2.\nAnswer: -2152 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039651893.\nAnswer: 3039651893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 - 99*h\/2 + 10918125\/4.\nAnswer: -3*(h - 1875)*(h + 1941)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24352787.\nAnswer: 71, 227, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 + 18. Let u be c(0). Calculate the highest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*c**3\/5 + 25066*c**2\/5 - 3275028*c\/5 + 136242.\nAnswer: -2*(c - 261)**2*(24*c - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -20)*-7*1\/4. List the prime factors of 8*7\/u + (1 - -256).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 9*v**2 + 17*v - 17. Let z be q(-5). Let f be (-6)\/12*(-4)\/(-18). Let l be 8\/(-28)*(-2)\/2. Sort l, f, z in ascending order.\nAnswer: z, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1731.9*0.021\nAnswer: -36.3699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 15*p - 17720. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1462704200 to the nearest one million.\nAnswer: -1463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -11. What is the common denominator of (63\/m)\/(5\/4) and 11\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4)*(-2*n + 0 + 0)*(6*n + 8*n - 7*n + (-n + 2 - 2)*(0 + 4 - 2) - n + 2*n - 2*n + n + 4 - 4 + n + 1 - 1 - 5*n + 3*n + n).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/6 - 92053*s\/3 + 10122805\/6 = 0.\nAnswer: 55, 184051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 4, -2\/121?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = -8. Let t(x) be the first derivative of 0*x**3 + 0*x + 1\/3*x**2 + 4\/15*x**5 - 1\/2*x**4 - c. Factor t(y).\nAnswer: 2*y*(y - 1)**2*(2*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 123011.5 years?\nAnswer: 123.0115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(4\/7)*y)\/y*y*y)\/y*y**(-1))**(-1\/25) assuming y is positive.\nAnswer: y**(-4\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(9 - (-240)\/(-25)))\/(-62)\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -3 + 4 + 2. Suppose 2*y - 6*m = -2*m + 24, 0 = -y + h*m + 10. Let a = 23 - y. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -504 (b) -3 (c) 3 (d) -0.22 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/6, 4, -0.04 in decreasing order.\nAnswer: 4, -0.04, -1\/6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let z(m) = 3*m. Let q(v) = -4*g(v) + 3*z(v). Let h(f) = f**2 - 11*f - 11. Let p(t) = -3*t - 3. Let a(y) = -6*h(y) + 22*p(y). Calculate a(q(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) 5 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 1, -39, -23 in ascending order.\nAnswer: -39, -23, 0.22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-26) - (-74)\/26. Suppose -u + 2*r = -10, u - 2*r - 16 = -x*u. What is the second derivative of s + s**u - 9*s + 5*s**2 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/55, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32104683 is divided by 844860.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6544\/27715?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 2*u. Let t be c(2). Let z(a) = 0*a - 6 + 4*a - t. What is the tens digit of z(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*a - 28*a + 20*a. Suppose -3*y - s + 416 = a, 0*y + s - 555 = -4*y. Solve -144*m + 5 = -y*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efee when four letters picked without replacement from {e: 3, f: 1, u: 1, r: 5, v: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2) + 2 + (-7 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 - 36*r**2 + 21*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12029612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74745634 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 divided by 4?\nAnswer: 2469\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.01 - -0.01. Let j = n + 8. Which is the third smallest value? (a) j (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196771 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 30132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851694 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 + -879. Let q = p - -404.9. Let k = 0.07 + -0.37. Sort 0, q, k in increasing order.\nAnswer: k, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444534450487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*u - 2)*(-3383 + 2313 - 3727 + 572 - 2822) as v + y*u and give y.\nAnswer: -14094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*d - 8, 5*d + 2*l + 0*l = 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53695, -56480, -59267, -62056, -64847?\nAnswer: -67640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)*z*z**(3\/14)*z assuming z is positive.\nAnswer: z**(183\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a - 42 - 4*a + 41 + 3*a. Let h be ((-2)\/((-8)\/20))\/(-1). Let l(d) = 6*d + 7. Determine h*l(f) - 35*s(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 11*q**2 + 2*q + 4. Let g be h(5). Suppose -v + g = 3*t, 8 = t + 3. Calculate the greatest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (8 - 40 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6573 - 6571. Solve -2*y + 5*y - 2*o = -12, -v*y = 3*o + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 520*g**2 + 14*g + 7296. Calculate i(-520).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292 and 8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = s - 2, z = -3*z - 4. Suppose -2*n + s = -4. What is the lowest common multiple of 14 and (n\/1)\/(1\/4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538, -616, -828, -1240, -1918?\nAnswer: -2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, -6 in descending order.\nAnswer: 24, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m - 2 + 0*m)*(-1 - 1 + 0).\nAnswer: -4*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252 - k**4 - 45*k**3 + 140*k**3 + 441*k**2 + 52*k**2 + 48 + 697*k.\nAnswer: -(k - 100)*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188321173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 125 + ((-40)\/48)\/((-3)\/18). Find the second derivative of -g + 237 - 6*o - 119 - 47*o**4 wrt o.\nAnswer: -564*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - (7 - 2))*2. Suppose -2*n + 56 = -v. Calculate the remainder when 52 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-299)\/4)\/((-1)\/4). Suppose g = -2*g + k. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 141 + 33)*(-5*f**2 - f**2 + 4*f**2)*(-3 + f**2 - f**2 - f**2).\nAnswer: -272*f**4 - 816*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114648, 234122, 353596, 473070, 592544?\nAnswer: 712018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-1 + (1 - -3)). What is the remainder when p + (-1 - (-2 + -1)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 10*g + 7. Let o(s) = -4*s**2 - 14*s + 10. Calculate 7*f(l) - 5*o(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 19. Let w = c - 14. Let q(r) be the second derivative of r**3\/6 + r**2 + r. Let m(p) = -3*p - 5. Determine w*m(d) - 7*q(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 1, b: 1, q: 1, j: 2, r: 1}. Give prob of sequence rjq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 5*f + 15)*(0 - 6 + 1)*(0 + 2 - 1)*(-3*f**2 - 9*f**2 + 2*f**2) in the form x + w*f**2 + r*f**3 + i*f and give r.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28068, -28070, -28072, -28074?\nAnswer: -28076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g - 64 + 64 + 58*g.\nAnswer: 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733031.\nAnswer: 13, 113, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 2*sqrt(99)*5)\/(3*sqrt(81)) + -2)**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72 + 5168*b - 22482*b - 68 - 11056*b + 140 + 1 - 2*b - 1 + 0*b + 0*b + 2*b - 1 + 1 + b + 5 - 2*b - 5 + (3 + 3 - 4)*(5*b - 2*b - b).\nAnswer: -28367*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2)**2 + -3.\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4083 + m - 4091 - 4089 + 16348 - 4085.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -35 - (-1 + -1 - (-466 + 456)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*v, -4*p - v - v - 24 = 0. Let a = 6 + p. Find the first derivative of 3*q - q + 3 - a wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 + z. Suppose 4*u = -3*p + 2, 6*p - 8 = 9*p - u. Determine r(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161\/6081 - -6403\/12162. Suppose 3\/5 + 1\/10*m**2 + f*m = 0. Calculate m.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 63*p = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4152 rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + f)*(1 - 1 - 2) + f + f - f - 5*f + 4*f + 0*f)*(-3*f**2 + 2*f**2 + 2*f**2).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*r**6 - 43*r**3 + 11070*r**2 wrt r?\nAnswer: 3360*r**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 418, 830, 1400, 2122, 2990?\nAnswer: 3998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10394 = -l, -3*w = -2*l - 6991 - 8599. What are the prime factors of w?\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + (-36)\/(-21). Let m be -1 + q + -2 + 1. Suppose m*h - 3*h = -66. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1493*c**2 + 906*c**2 - 436 + 436 to a + r*c**2 + l*c and give r.\nAnswer: 2399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**3 + 55*n**2 - 9*n + 2. Let x be f(9). Sort x, -6837, -3, -4 in increasing order.\nAnswer: -6837, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (108\/(-48))\/((-1)\/4). Let x(b) = -b**2 + 10*b - 4. Let t be x(g). Suppose 5*r + t = 20. Solve 3*a - 3 = r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - d**2 + d + 149. Give v(0).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6b69 (base 15) to base 5\nAnswer: -1212244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -37.3. What is the nearest to -1 in 0.2, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (27 + 11) - -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-125)*((-55)\/(-33))\/((-4)\/(-120)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -623808 divided by -361.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1166, 3.81, 1\/5, 0.073 in descending order.\nAnswer: 1166, 3.81, 1\/5, 0.073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65254877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 7*i + 17, 4*z + 278*i - 276*i - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 - b - 2. Let o be x(-4). Let s be (-8)\/(-24) + o\/(-6). Solve s*j + 3*j + 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 439, 1\/4?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 80069 = 76*u. Calculate the common denominator of (-6 - -4) + (u\/(-54))\/11 and 1\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3\/5, 0.4, -3.516, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-4 - (4 + -4)) + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*p - p. Let s(y) = -y**2 - 9*y + 3. Let q be s(-7). Let w = p + q. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62512\/5 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 10. Suppose 2*i = n + 3. Suppose -h + 28 = 5*b - 5*h, i*b - 4*h = 16. Calculate the greatest common divisor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-6))\/(55\/990).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573667 is divided by 286375.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*l = -5741 - 4199 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 684983449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 273743480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 22*l + 4. Let o be u(4). Suppose -3*k - o = -7*k. Let d = -78 - -193. Calculate the greatest common factor of d and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131151 by -43717.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 28*g**2 + 28*g - 72. What is j(29)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o**3 + 4*o. Suppose 77*b - 20*b = 114. Let j(u) = -50*u**3 - u**2 - 17*u. Let v(i) = b*j(i) + 9*w(i). Suppose m = 3*m - 4. Calculate v(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 2*v**2 - 607. What is l(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 84 = n. Let q be (-27)\/(-72) - n\/16. Let c(y) = -q*y**2 - 6 + 6 + 3*y**2. Let v(s) = 2*s**2. Give 4*c(g) + 3*v(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17 and -28044091039.\nAnswer: -28044091056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.75 + -15.78. Which is the closest to -0.11? (a) i (b) -3\/13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o + 4. Let j be n(6). Let i = -8 + j. Let l be (-4)\/6*(-1)\/3. What is the nearest to 0 in -2, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 287*t + 9874. Calculate h(-247).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58406719.82 rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26, 3, 1, -6 in descending order.\nAnswer: 26, 3, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 33*r + 79. Determine p(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 16 - 5) + -1 + 3 + -12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.3 and 6\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 - 40*r - 331. What is s(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20))\/(27\/(-4))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 530 or 529?\nAnswer: 529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11128069766883*z**2 - 11555814*z - 3.\nAnswer: -3*(1925969*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 179, 405, 727, 1151, 1683, 2329?\nAnswer: 3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 2. Suppose -5*x + 7*i = 2*i - 55, -2*x + 26 = g*i. Let d = 25 - x. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.623 to 1 decimal place.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23049036 and 146556.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccccff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39338 or -34\/27?\nAnswer: -34\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**3*u*u*u**(-2)*(u*u**4\/u*u)\/(u*u*u**(1\/11)) assuming u is positive.\nAnswer: u**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -106.7. Let y = -0.03 - -2.03. Sort 1\/3, n, y in decreasing order.\nAnswer: y, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/39*(-4 + -5). Suppose -i - d*z = 81 - 575, -2*z - 1028 = -2*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 12245*n**2 + n**3 + 12220*n**2)*(n + 8*n + 14*n) - n**2 - 2*n**4 + n**2 + (-2*n**3 - n**3 + 5*n**3)*(-2*n + 2*n - 2*n).\nAnswer: 86*n**4 - 575*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -143, -207, -267, -323, -375, -423?\n\"Answer: 2*v**2 - 74*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.016 greater than 0.03172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 4103?\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 7*k - 3*k)*(k - 2*k + 0*k) + 2*k**2 - 4*k**2 + 0*k**2 + 4*k**2 - 2*k**2 - 4*k**2)*(3*k - 3*k + k)*(2*k - 5*k + 0*k).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65, -580, -1655, -3160, -5095?\n\"Answer: -215*n**2 + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (11 + -49)) + -26\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(1\/(-20)*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4500 divided by -10.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5230250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p**3 + 25*p - 15*p**3 + 27*p**3. Let x(i) = -i. Let z(w) = -f(w) - 6*x(w). What is the second derivative of z(a) wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3367*a + 9*n + 7 = -3365*a - 0, -n = 3 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkggikgktiiii. Give prob of picking 1 g, 1 i, and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 18. Let f be w(-4). Solve f*s = 3*n + 2 - 3, -4*s + 7 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -6585\/841?\nAnswer: -6585\/841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*-1 - (-11 + 25). Let s = 261 + h. Let j = s + -142. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v - 4. Let w be (4\/v)\/(3 + -1). Find the third derivative of 6*p**2 - 12*p**w - 11*p**2 - 22*p**3 + 5*p**3 wrt p.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6952033*v. Let j(y) = -y - 69. What is j(x(o))?\nAnswer: -6952033*o - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, f: 2}. What is prob of sequence kf?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, 0*q + 5*q - 4945 = 3*u. Suppose q*k - 980*k = 291294. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2561*x + 2555*x + 60 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547514 divided by 11.\nAnswer: -49774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o + 9*o**3 - 25*o - 113*o**4 - o**2 + 114*o**4 to the form g*o + y*o**2 + v*o**3 + f + s*o**4 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:05 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/153416309 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 48 = -w. Let c = w + 202. Suppose 0*n + c = 2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13216 and 137312.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -977 - -976.5. What is the fourth biggest value in y, 0.1, 0, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 2*d + 15. Let x be s(-3). Let t = x + 38. Let r = -8 + 9. Which is the nearest to r? (a) 4 (b) 6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -3648.\nAnswer: 72.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186 - -192. Let n(q) = 2*q**2 + 18*q - 19. What is the tens digit of n(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - n + 65 = 0, -3*n - 127 + 14 = -5*u. What is the smallest common multiple of u and (-4)\/(-14) - 440\/(-28)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/5))\/(v*v\/v**(-3\/4))*(v**(-19)\/v)\/(v**(-1)\/v) assuming v is positive.\nAnswer: v**(-403\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251\/76 + 39\/19. Sort 1\/6, -27, z in decreasing order.\nAnswer: 1\/6, z, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/47337486 and -127\/47337486.\nAnswer: 47337486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let p = 2 - n. Let k = 97905 + -97947. Put p, -4, k in descending order.\nAnswer: p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y**2 + 52*y**2 - 62*y**2 + 59*y**2 + 81*y**2.\nAnswer: 187*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 6, c: 5, d: 3}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55497 and 11479?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b. Let u(t) = -4*t. What is u(o(f))?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 - x**2\/2 + x. Let q(f) = -216*f**3 + f**2 - f - 3. Let o be q(-1). Let m = -209 + o. Calculate z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y = -740 + 2898 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1117 - 138 - 24)*((2 + 2 - 6)*(-t**2 - 2 + 2) + t**2 + 2*t**2 - t**2 + 5*t**2 - 10 + 10).\nAnswer: -11511*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 14 + (8 - (10 - -18))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30925 to the nearest 100.\nAnswer: -30900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:54 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (246\/24 - 5)\/((-3)\/504). Let m = -880 - u. Solve 4 = i, 0 = 2*k - 2*i + m + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 - 7034123?\nAnswer: -7034118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5 + 23*l**4 + 5*l**3 + 7*l**2 - 6780*l - 25 wrt l.\nAnswer: 40*l**3 + 276*l**2 + 30*l + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 + 3. Suppose -4*f - 20 = 0, 2*m + 2*f - 4*f - 4 = 0. Let d be (-4)\/50*(-120)\/16. Which is the closest to -1? (a) d (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 4, -3*j + s + 3*s - 22 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1449759981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbybybbyfyy. Give prob of sequence ffy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98 - -5?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - -932465?\nAnswer: 932517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 127 = 4*s, -3*d - 5*s = -47 - 81. Suppose 0*o + d = o. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 4*c + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 p, and 1 j when four letters picked without replacement from {j: 2, p: 5, k: 1, e: 1, q: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1775 - 11.\nAnswer: -11.1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399620 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 12*h + 218 = 3*j, 208 = 3*j + 4*h. Let g be (0 - 1)\/(2\/(-146)). Let z = g - j. Solve -5*x - 2 = 4*l, -z = l - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48 + -6.68. Let z = 6 + x. Sort z, -3, -2\/11 in descending order.\nAnswer: -2\/11, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10943*h - h**2 - h**2 - 3*h**3 - 10819*h as m + p*h + w*h**3 + x*h**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2089305 - -2089094.0089. Let m = o + 211. What is m rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z - z)*(3*z - z + 0*z) + 368*z**2 + 717*z**2 + 701*z**2 - 290*z**2.\nAnswer: 1490*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -125. Let n = 53 + o. Which is the third biggest value? (a) -3\/8 (b) 3\/4 (c) n (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1158 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -25, -1, 33, 77, 131, 195?\n\"Answer: 5*x**2 - x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*2\/3*(-103)\/206?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299479745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {a: 1, o: 1, n: 1, f: 1, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/21 + 4*(-5)\/70. Let f = -0.033 - 25.967. Let g = -22 - f. Which is the closest to y? (a) -2\/11 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(78)\/sqrt(6)*5 + (sqrt(13) - -4*sqrt(208))))**2.\nAnswer: 56628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8721, 0.5, 22, 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 66 and 49474.8747.\nAnswer: 49540.8747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(1900)*-2 + 3*((sqrt(1900) + -1)*-4 + sqrt(1900) - sqrt(1900))**2.\nAnswer: -1000*sqrt(19) + 91249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l**2 + l - 1. Let u be m(-2). Calculate the common denominator of 3 + (u - 49\/6) and 61\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**2 - 35 + 69 - 34.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29181 rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-12)*((-6)\/7)\/((-9)\/(-84)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1.388\nAnswer: 5.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20701.36057 + -20702. What is o rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 28\/12 - 186\/(-9). Suppose -5*h + f = 5. Suppose t = 1, 9*y - 7*y + h*t = 185. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1525 at most -1526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 113 - 111 - 6*z + 2*z. Suppose -20 = 4*n, n + 4 = 3*k + 2*n. Let x(y) = -4 + k + 2*y + 0. Calculate 3*p(u) + 5*x(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*k + 5*o - 39, 4*k = -3*o + 3. Solve k*r + 64 = 52 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 69*i**6\/10 - 95*i**2 - 2*i + 57. Differentiate z(v) wrt v.\nAnswer: 828*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 1978565826.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 99041, -4, -3\/4, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009349.\nAnswer: 11, 89, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 341*a**2\/2 + 29240*a - 57800.\nAnswer: (a - 340)**2*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccycyycccyccccycycc. What is prob of sequence cyyy?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*u - 22 = 0, 5*q - 56*u + 55*u + 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10115938 is divided by 183?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65504.2cm to kilometers.\nAnswer: 0.655042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36959 is divided by 1539.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/11 - 96*y**3\/11 + 4514*y**2\/11 + 212160*y\/11 - 216576\/11 = 0. What is y?\nAnswer: -48, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1200 and -3\/5.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391564 and 1060?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2.3 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*2 + sqrt(5) + -3 + sqrt(20) + sqrt(5) - (4 + (-2*(sqrt(720) + -1))**2).\nAnswer: -2891 + 116*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033842431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/13 - (-17478)\/(-39). Let v = -44587365\/99028 + 2\/24757. Let f = v - m. Which is greater: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1272, 4, -141615 in decreasing order.\nAnswer: 4, 4\/7, -1272, -141615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5380793 months to millennia.\nAnswer: 0.000128173275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 + 5*b - 5. Let l be z(-5). Let d be ((-96)\/(-10))\/(6\/l). Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/11 - (-22)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 202646 divided by 76\nAnswer: 101323\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 678, 1351, 2024, 2697?\n\"Answer: 673*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8818 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.52273 minutes in milliseconds?\nAnswer: 5911363.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 8*k**2 - 9*k + 5. Suppose 18 = 4*a + 2*d, 5*a + d + 0*d - 30 = 0. Let i = a + -14. Calculate the remainder when 37 is divided by h(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -3\/5281.\nAnswer: -0.1, -3\/5281, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.1, -5\/4, 3, 5112\/7, -3 in descending order.\nAnswer: 5112\/7, 3, -0.1, -5\/4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in years?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -7*g**5\/20 + 4*g**3\/3 - 7*g. Find the second derivative of q(h) wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n. Let c(y) = -5*y + 7. Let w(t) = 2 + 9*t - 7*t - 5. Let f(h) = 3*c(h) + 7*w(h). Determine f(x(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + -5)) + (-20 - -13 - (-28 - 2))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 10*m - 7*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584397683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5269\/(-143) - 10 - 1\/(78\/12)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 2640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/65 (c) -1.14 (d) 1\/581 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*56\/(-126)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:40 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 27511 = 16*f + u, 2*f - 27517 = -u. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 2009904*r + 504964261152.\nAnswer: 2*(r + 502476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-6)\/(-9) - (-39)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -7511.\nAnswer: -7513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72825460 a multiple of 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -281 + 150. Let d = -132 - k. Which is the second biggest value? (a) 0.07 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(11130\/(-1908)*(-1)\/(-7)). Which is the closest to v? (a) 0.5 (b) 0.4 (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n**5 + 17*n - 2. Let i(p) = -22*p**5 + 33*p - 5. Let m(c) = -2*i(c) + 5*k(c). Find the second derivative of m(x) wrt x.\nAnswer: -220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86\/65 - -10063\/1170. Calculate the common denominator of a and -5*1*117\/54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -1. Let k be ((-2)\/b)\/((-9)\/(-513)). Let p = -6 + k. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-75)*15\/6. Let i = -502.3 - -502. Sort -1\/4, k, i in ascending order.\nAnswer: i, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2443902098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-10)*((-45)\/(-28))\/((-10425)\/24325)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/9)*f**(3\/7))**(1\/41)*(f\/(f**(-2\/3)*f*f))**18\/(f**(-3\/4)\/(f*f\/f**7)) assuming f is positive.\nAnswer: f**(-105767\/10332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 16*f + 5. Let t(g) = 3 + 4 - 15 - g + 9. What is -j(h) + 5*t(h)?\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g. Let f(p) = -5*p - 77. Let c be f(-17). Let i(b) = -5*b - b + c*b. What is i(j(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunf when four letters picked without replacement from nnufn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 229637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*a - 12 = 724*a, -5*a - 55 = -5*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339 (base 13) in base 10?\nAnswer: -2752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 503 + 10?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (19 - (72 - 30))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -155270 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12818*a = 3*y - 12822*a - 10, 2*y + 8 = -a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2403635 centuries?\nAnswer: 0.02403635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. What is the second derivative of t**l + 0*t**2 + 2*t + t**2 + t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392895 is divided by 256.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2 + 12*p - 7*p - 8*p. Let n(q) = -5*q - 4 - 4*q + 6*q - 6*q + 2*q. Calculate 4*n(r) - 9*t(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-430)\/(-140) + 1\/(-14). Suppose -b*v + 1378 = -v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2001 + -7953\/4. Let b = 47726 - 287131\/6. Let n = 119 + b. What is the common denominator of n and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*h - 212*h + 421*h - 19*h**2 - 27 in the form n + s*h**2 + d*h and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 2007*u - 179822. Calculate n(94).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5892.1 (b) 0.5 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 461*r**2 + 132297*r - 2872. Determine x(-287).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 44. Let b = -2 - -8. Let i = r - b. Solve -2*y = i - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4178\/((-4768)\/11945 + (-6)\/(-15)). Let i = b - 2510621. Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**4 - 34*s**3 + 173*s**2 - 261*s + 123. Let v(i) = 2*i**4 + 32*i**3 - 174*i**2 + 262*i - 122. Let l(k) = 6*r(k) + 5*v(k). Solve l(o) = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 9:47 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*i + 106*i - 59*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4\/5, -2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w**2 + 10 - 7 - 3 - 138*w**2.\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 16. Suppose 4 = -t + h. Suppose 0*q = -t*q. Are q and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 10*m + 8. Let t(u) = 16*u**2 + 50*u + 43. Suppose 0 = 2*l + 11*n - 15*n + 4, 2*l + 4 = -4*n. Let d(p) = l*t(p) + 11*y(p). Calculate d(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.7, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10321\/2 + -5163. What is the fourth biggest value in 0.5, c, 1\/3, 0.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 o when four letters picked without replacement from ioiioiiuiiggiggi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441.23731 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64\/29 + -369\/319. Find the common denominator of (-463)\/(-372) - 23\/276 and z.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -832 (base 16) in base 8?\nAnswer: -4062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3537220258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.468 rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2215 - 1657. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.1 + 20.2. Let t = y - -9.89809. Round t to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47573, -47043, -46513, -45983, -45453, -44923?\nAnswer: -44393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3322*g + 12. Determine i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/4 - 3\/(-12). Let v = -1 - a. Sort v, 3\/4, 3 in increasing order.\nAnswer: 3\/4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 10923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 209, 207, 205, 203, 201?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, -0.04, -2\/13, 1, 0.0571, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5490553ml to litres.\nAnswer: 0.0005490553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**5\/80 + g**4\/24 - g**3\/24 - 12*g. Determine h so that z(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-72)\/54). Which is the third biggest value? (a) -2\/15 (b) -1\/3 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)\/h)**(-46))**(4\/17) assuming h is positive.\nAnswer: h**(92\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67379023109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 - 81 - 47*f**2 + 29*f**2 - 59 + 5*f**2 - f to the form w + b*f**2 + p*f and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455435 (base 6) in base 3?\nAnswer: 11100021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2936470869 and 2.716.\nAnswer: 2936470871.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + 28\/12. Suppose l*j + 1 = 7. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6734.7 + -6735. What is the fourth biggest value in 1\/7, -0.2, -52, o?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.058 in 3, 0, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 376, 1504, 3384, 6016, 9400, 13536?\n\"Answer: 376*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 26*h + 306. Does 75 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.5 (b) 18088 (c) -21\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -122209 (base 10) to base 4\nAnswer: -131311201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 16*b**2\/5 + 52*b.\nAnswer: -b*(b - 10)*(b + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 3*v**5 - 6*v**5 + v**5 + (3*v**4 - 3*v**4 - 2*v**4)*(-v - 2*v + 5*v).\nAnswer: -6*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63 * -24.7.\nAnswer: -15.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/350 and -89\/34077806.\nAnswer: 851945150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15829841153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5480\/17*w + 3753800\/17 + 2\/17*w**2 = 0.\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2. Let l(z) = 1673*z**2. What is p(l(q))?\nAnswer: -8396787*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/20 - l**4\/12 - 5*l**2\/2 + 6206*l. What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) 545.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*k + 274*k - 102*k - 91*k - 66*k + 5 to y*k + s and give y.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = -2*i + 4, k + i = 1. Which is the second biggest value? (a) -2\/7 (b) -1\/17 (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by 1.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -2*c, -g = -6*g - c + 10. Suppose -3*x - 3*r + 72 = 0, -g*x - 4*r = -6*r - 32. What is the highest common factor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10115248463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*w - 347*w - 17*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 2. Let h be p(0). Let d = -98382 + 98388. Solve -3*c + 2*c + 15 = -4*x, -2*c = -h*x - d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31623 - 31636. Let z(y) = -y - 14. Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3639, -3489, -3239, -2889?\n\"Answer: 50*c**2 - 3689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1369.482 centimeters to kilometers.\nAnswer: 0.01369482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1078)\/(-3234))\/((-14)\/612)*1\/((-12)\/2)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, r: 1}. What is prob of sequence qrm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 3:14 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -44. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20629 - 20624. Let y = 12 + -5. Which is the closest to 0.1? (a) f (b) y (c) -1\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2\/3 - 134*g\/15 + 188\/15 = 0.\nAnswer: 2, 47\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4 - (-1 + -2)). Let d(l) = 110*l**3 + l**2 - l + 1. Is d(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7014217 and 833.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250460 by 12523.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5\/2 (b) 0.5 (c) -3\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -14\/10981 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -32 - (1 + 1 + 2 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*k + 137, -246*o - 134 = -251*o - k. What is the remainder when 1305 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643084496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81, -107, -129, -141, -137, -111, -57?\n\"Answer: v**3 - 4*v**2 - 21*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -75. What is the units digit of ((-6)\/8)\/((-5)\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z**2 + 432*z + 3. Let g(l) = 9*l**2 - 431*l - 4. Let r(s) = -3*g(s) - 4*t(s). Factor r(a).\nAnswer: 5*a*(a - 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 80 = -11*t. What is the second derivative of 5*x**t + 23 + 2*x + 32*x**2 - 59*x**2 + 21*x**2 wrt x?\nAnswer: 60*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846658 is divided by 467?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4393*y**2 + 14145*y**2 - 112*y + 56*y + 56*y - 1.\nAnswer: 9752*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*p + 2*p = 13, 5*z - 27 = 3*p. Suppose 2*i = -4*l - 4, -z*i + 6*i - 8 = l. Solve i*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7231446.\nAnswer: 2, 3, 241, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*s. Let r be 39 + s - 0 - -2. What is the greatest common factor of r and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3593 is divided by 74?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5. Sort n, -5, -4, -3 in descending order.\nAnswer: n, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0078 and -90.074431.\nAnswer: -90.082231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*c - 40, -4*c + 2*c - 10 = -4*n. Suppose 7 - 3 = -r. Let y = r + c. Calculate the smallest common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5288.055303 to the nearest 10.\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -j + 190. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 190, 414, 738, 1168?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 318240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -65\/36, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*y**3 - 1866*y**5 + 1868*y**5 - 3*y**3 + 3*y + 3*y**3 + 25 + 25*y**4 wrt y.\nAnswer: 40*y**3 + 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, 2, 200.\nAnswer: 2\/5, 1, 2, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/68327 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1710 divided by 3.\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = -8, -20 = 3*w + 5*j. Solve -4 = -w*c - 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -982 + 406. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/360)\/(6\/3). Let p(m) be the second derivative of 0 - b*m**5 + 1\/2*m**2 - 1\/3*m**3 + 5\/48*m**4 + 3*m. Determine h so that p(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8324078 and 29728850.\nAnswer: 208101950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10011000101?\nAnswer: 10011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, x: 2}. Give prob of sequence kx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-36)*z**(-2\/39)*z)\/((z**(-16)\/z)\/z*z**0) assuming z is positive.\nAnswer: z**(2221\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*k**2 + k - k - 475*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789, 6125, 20603, 48795, 95273, 164609, 261375?\nAnswer: 390143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7595\/21 + 4\/(-6). Let z = -71 + l. Suppose z = 5*a - 3*w + 81, -a + 3*w = -49. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**25\/b)\/b)**(-29)\/(b**(14\/3))**(4\/13) assuming b is positive.\nAnswer: b**(-26069\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**5\/90 - o**4\/6 + 23*o**2. Suppose j(w) = 0. Calculate w.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233634140 rounded to the nearest one hundred thousand?\nAnswer: 233600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/v)**(18\/7)*v**(-4\/11)\/(v\/(v*v**3)) assuming v is positive.\nAnswer: v**(109\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/12 and 47\/775332?\nAnswer: 775332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c + 4*c)*(-39 - 3 + 7)*(3 + 0 + 3) to the form d + q*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 605?\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49190.4 + -49190. Let b = -4\/3 - -1. What is the second smallest value in b, 0.03, m?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1557193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (4 - 5) + 4. Solve 4*t = 4, u + q = -4*u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16703404.\nAnswer: 2, 181, 23071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 67, 4, -2, -23 in decreasing order.\nAnswer: 67, 5, 4, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, 5458473 in decreasing order.\nAnswer: 5458473, 20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121051*k**4 - 79*k + 101 wrt k.\nAnswer: -1452612*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 19*k**3 + 21855*k**2 - 39*k**3 - 21855*k**2 to r*k**3 + h + c*k**2 + g*k and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.765751109 to three decimal places.\nAnswer: 5.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 96944*v + 97400. Give t(-1).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1105 and 1099033.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -197\/3. What is the nearest to j in -1, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1722 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 143997*x**3 - 1. Let c(z) = 143996*z**3 - 1. Let b(h) = -2*c(h) + 3*t(h). Let a be b(-1). What is a rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 19*w**2 + 2*w + 7. Let r(j) = -73*j**2 - 9*j - 30. What is -2*r(i) - 9*z(i)?\nAnswer: -25*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -113298657 times 4\nAnswer: -453194628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + n**3 + n**3 + (2*n + 3*n**2 - 2*n)*(2 - n - 2) + 6*n**3 - 10*n**3 + 5*n**3 to the form j + m*n**2 + d*n**3 + c*n and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*u - 20728, -35*u - 16577 = -39*u + b. List the prime factors of u.\nAnswer: 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1016\/(-6))\/(1\/(-3)). Suppose 0*z + b = 4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61139 is divided by 208?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 2*g + 2*g)*(-9 + 29 + 20) + 4*g**2 + 2*g**3 - 4*g**2.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110121001001020 - 1?\nAnswer: -12110121001001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-27))\/(3\/(-721482)). Let p = h - -8909. What is the common denominator of p and ((-102)\/27 + 4)*(-642)\/8?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofao when four letters picked without replacement from fffafaooofooaof?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2000*h + 168123. Calculate u(84).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 35 - 31*h + 6*h as j*h + s and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72572299?\nAnswer: 5273, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23\/148?\nAnswer: -23\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211003 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85704 and 8976?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00443808 to five decimal places.\nAnswer: -0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 + r + 3. Let k be t(3). Suppose -m = -5*u - k, 0*m + 20 = 4*m - u. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3382527?\nAnswer: 3, 227, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 688 - 684.349. Let w = -0.049 - d. Let a = w - -0.7. Sort -2, a, 4 in decreasing order.\nAnswer: 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-38)*2\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12541 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1917706258 divided by 8578?\nAnswer: -223561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8126622.\nAnswer: 2, 3, 7, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egbbellwgbwee. What is prob of sequence wwee?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/175)\/(48\/30).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34386, 0, -77, -5 in decreasing order.\nAnswer: 34386, 0, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*v**2 + 1959*v**2 + 2575*v**2.\nAnswer: 3568*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttqtrqrttqrtttqtqr. Give prob of picking 2 q.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*l + 70. Let g = 141\/2 - l. Let p = 2\/85 - 192\/935. Which is the closest to g? (a) p (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4456266 is divided by 2957.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30 and 85\/684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 6) in base 8?\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147.6 + -148. Let t = -4 - -5. Sort t, 3, o.\nAnswer: o, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.348 + -6.248. Which is the nearest to l? (a) 0.1 (b) 139 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/1325, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/75)\/(26\/(-65)). Put -4, a, 1\/6, 4 in descending order.\nAnswer: 4, 1\/6, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 981\/126)\/(3\/4). Sort d, -4, -3, 0.5 in increasing order.\nAnswer: -4, -3, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*i + 3*c + 32, -2*c = -5*i + 83. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaddaaagdd. What is prob of sequence agd?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -18155 <= 2673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -166*w**3 + 37*w**2 - 6*w - 12. Let k(p) = 166*p**3 - 36*p**2 + 5*p + 10. Let u(b) = -5*d(b) - 6*k(b). What is the third derivative of u(j) wrt j?\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -126bc0 - 16?\nAnswer: -126bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441598317 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 + -4 + ((-6644)\/64)\/(-11) and -5\/884.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 1518 = -1486 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 1. Let n(z) = -z**3 - 20*z**2 + 4*z + 31. Let d(y) = 3*f(y) + n(y). Let a be d(-20). Solve -5*j - 6 = a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j**2 - 311*j - 394. Give m(-27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -155. Suppose 3*z + 0*z + k - 8 = 0, 4*z = 2*k + 24. Suppose -3 = 3*y + t - 3*t, -z*t = y + 15. Sort f, y, 5.\nAnswer: f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10819 + 10726.98. Let z = g - -92. Which is the third biggest value? (a) z (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0454841607 - 0.045487. What is g rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k - 2. Suppose 12 = j - 3. Solve -j = k*b - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:19 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1376031353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1096660 divided by -47.\nAnswer: -1096660\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415304275?\nAnswer: 5, 16612171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1*12\/6. Let i(d) = -14*d**4 - 6*d**3 - 14*d**2 - 17. Let x(v) = 8*v**2 - 3*v**2 - 1 + 5*v**4 + 2*v**3 + 7. Let l(y) = k*i(y) + 17*x(y). Factor l(c).\nAnswer: c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12 + 11*z + 2*z + 7 - 9. Does 16 divide n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose -11*i = -14 - 30. Solve b = -v*b + i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*i + 1320 = -1592*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5777 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w**3 - 9*w**2 + 9*w + 9. Suppose 7*k - 9 = 6*k. Let n(p) = 5*p**3 - 2*p**2 + 2*p + 2. Calculate k*n(m) - 2*c(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (243\/(385155\/24409))\/((-2)\/(-10)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367085602?\nAnswer: 2, 13, 14118677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 18352725?\nAnswer: 18352732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 14 = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9576 divided by -56?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + 1 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 11:24 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 17 = -67 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 40596\/773?\nAnswer: 40596\/773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - o - 73 = 0, 3*o = -4*f - f - 100. Let h = 39 + f. Calculate the remainder when h is divided by 78\/10 + 1\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**10\/7560 - t**9\/1890 + t**7\/315 - t**6\/180 - 11*t**4\/4 - 27*t. Let k(s) be the third derivative of b(s). Factor k(n).\nAnswer: 4*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -181, -1, -9, 5 in descending order.\nAnswer: 5, 3, -1, -5, -9, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 + 73*t\/6.\nAnswer: -t*(t - 73)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzriiiirvrggjz. Give prob of sequence zivj.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/7, 126, 42, -2\/3, 0.2, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -5) + (2 - 4). What is the tens digit of 4\/m*(-90)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 5*d = 53, -4*d = -4*w + 9*w - 43. Solve 0 = w*y + 3*o, -4*y - 5*o - 7 = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 248 - 2*n - 216 + 153 in the form a*n**2 + b*n + i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 586, -1083, 2\/11 in decreasing order.\nAnswer: 586, 2\/11, -1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 419 - 49*t - 208 - 197 to the form c + z*t and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(32) + 1.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48544.99l?\nAnswer: 48544990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 90 = 25*a - 96. Let n = 3 - 5. Let k = n + 4. Put a, k, -5, -2 in increasing order.\nAnswer: -5, -2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -33, -32, 13, -1, 0.4?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i - 1300000 = 0. What is i rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) - (-86)\/(-10). Let x be 2 + (17\/m - 0). Suppose n - 9 = -j, 2*j = 5*n - j - 5. What is the second biggest value in x, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/q**(-2\/3))\/((q*q**2)\/(((q**(3\/7)\/q)\/q)\/q)))**(-33) assuming q is positive.\nAnswer: q**(2497\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 1:48 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938953?\nAnswer: 938953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16743 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24034251*s**4 - 2*s**3 + 8854083*s + 3?\nAnswer: -288411012*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(4\/(-8)*1). Let p(y) = 2*y**2 - 2*y - 1. Let q(h) = h - 1. Let v(t) = p(t) - 2*q(t). Let n(x) = -x. Determine d*v(s) - 2*n(s).\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -12, 0, 20, -57.\nAnswer: -57, -12, -4, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -1.3. Let s = 6 + -4. Let p = -127 + 127.5. Which is the nearest to 0? (a) p (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914309?\nAnswer: 3, 212701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**5 + 3*o**3 - 3*o - 3. Let n(u) = 3*u**5 + 7*u**3 + u**2 - 7*u - 7. Let t(j) = 7*l(j) - 3*n(j). What is the third derivative of t(y) wrt y?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 30 = -60*f. Does 8 divide 16 - ((f - 3) + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-8)\/(-4)*-1. Which is the closest to 1? (a) -1\/3 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 4*g - 5 + 35 = 0, 4*q + 4*g = -5316 + 5312 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 25 - 0, 0 = l - 5*d + 24. Let j(n) = n. Let x(b) = 5*b - 1 + 6 - 3 - 4. Give l*x(v) - 4*j(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 + 10*o + 264. Let r(u) = u. Determine x(r(h)).\nAnswer: -3*h**2 + 10*h + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 81*p**2 - p + 1. Let g be v(1). Let z = -3331 + 3306. Let a = z + g. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfssuysyfys. Give prob of picking 1 u, 1 y, and 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102288 and 11448.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -4\/17, 2\/53 in descending order.\nAnswer: 2\/53, 0, -4\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -g - g. Suppose w - 2*w + g = 4*z, 9 = 3*w. Calculate the least common multiple of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008937 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*g + 6 = 2, -4*g + 6 = -n. Suppose 2*y = 3*y + 3*s - 10, 3*y + n*s = 51. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let d(l) = -2*l + 280. Determine p(d(m)).\nAnswer: -4*m + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*10)\/((-25)\/25)*-3*21\/252.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 10 - 2 - ((19 - 137) + 73)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 3*k**2 + (3 + 1 - 5)*(2*k**2 - 3*k**2 + 0*k**2) + 3*k**2 + k**2 - 5*k**2 + (-7 + 7 - 5*k)*(2*k + 0 + 0) in the form s*k + t*k**2 + l and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1186142341 to the nearest integer?\nAnswer: 34440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 358, 512, 650?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*5\/(-45)*(-2350)\/188\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 4\/2 - 1. Suppose a = 2*i + 4*m - 8, -4*i - 4*m = 9 - 25. Suppose i*s - 22 = -5*l, 5*l = -4*s + 2*s + 16. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - (-291990)\/8. Let d be 36\/8*(16\/(-6))\/(-2). Suppose -b = -d*k + 13301. What is k rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67356991.\nAnswer: 13, 5181307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-5))\/(((-14)\/(-245))\/(9*(-29)\/(-1827)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -33\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -775, -3064, -6875, -12202, -19039, -27380?\n\"Answer: w**3 - 767*w**2 + 5*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*k = 16 + 10, 5*k - 37 = -3*d. Suppose 2 = 5*p - 2*m, 0*p - p + 18 = d*m. Let f be 1 + -2 + (12\/(-2))\/6. Put f, 4, p in decreasing order.\nAnswer: 4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 29760 = 8*z. Let f = 3499 + z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {q: 5, p: 1, g: 1, c: 2, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a**4 + 11*a**4 - 6*a**4 - a**4 + 0*a**2 + 0*a**2 - 2*a**4 + 2*a**4 - 2*a**4 + (-a**2 + 0 + 0)*(-a**2 + 4*a**2 - 4*a**2).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4878750636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -30. Are w and 10\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6035904 and -125\/565866?\nAnswer: 18107712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l**(3\/5))\/(l\/(l**(-1\/5)*l*l)*l\/l**1)*(((l\/l**(-1)*l)\/l)\/(l\/l**13))**(4\/25) assuming l is positive.\nAnswer: l**(136\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -109450 divided by -21890\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 232354.826 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wijj. What is prob of picking 1 i, 1 w, and 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) + (-4*(-2*sqrt(336) + sqrt(336)) - sqrt(336)) - (sqrt(336)*1*6 - sqrt(336)))\/((sqrt(252)*2 - sqrt(252))*-5 - (sqrt(252) + 1*sqrt(252)*-4)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 5500303?\nAnswer: 5500331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - f + 3. Let v be h(0). Solve -v*q = -2*p + 2*q - 8, -q + 5 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-110) - (-2)\/11. Suppose o - 5 - 9 = s. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 6. Suppose -5*z + 0*z = 20, 2*z = -y*m + 2. Let x = 15 - 11. Sort x, m, 2 in decreasing order.\nAnswer: m, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 55, 197, 467, 907?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*y - 1292 = 146*y - 199*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3\/2 - 3*t**2 + 9*t\/2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31911, 31950, 31987, 32022, 32055, 32086, 32115?\nAnswer: 32142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -1\/8, -87.11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 117?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 184. Let m = o + -30. Suppose -t = -m*t - 60. Let s(f) = -f**3 - 4*f**2. Calculate s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**4 - 265*s**2 - 4*s + 679. Let u(g) = g**2 - g + 1. Let i(f) = -p(f) + 4*u(f). Find the first derivative of i(v) wrt v.\nAnswer: 4*v**3 + 538*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 24*k + 197. Calculate the remainder when 72 is divided by t(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43120 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000709524757 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1989364539 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 24*g + 15799. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -42?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25527 is divided by 392?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(117)*2 - sqrt(117)) + -5)**2 - sqrt(117)) + -3 + 3 + sqrt(117) + 0 + sqrt(117) + 0)*4.\nAnswer: -3408 + 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4 = 4*v, 4*v = d + 7468 - 7459 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2 - 11 - 1 + 1 - 5*h + 6*h**2. List the prime factors of d(-4).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -6. Let d = -6 - t. Which is smaller: 12\/13 or d?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14887 + 29481. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - 3 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -14 - -9) + 2 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.3 - 21. Let o = -0.32 + a. What is o rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Suppose -r*z + 5 = -3*p, -2*p - 8 = -3*z + 2*p. Suppose -z*y = -y - c - 74, -2*y + 64 = 3*c. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5558, -11220, -16968, -22802, -28722?\nAnswer: -34728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**5\/3 - 14*v**4\/3 + 4*v**3\/3.\nAnswer: -2*v**3*(v + 2)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1405 * 124330.\nAnswer: -17468.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122211 (base 3) to base 14\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 62538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546490.\nAnswer: 2, 5, 7, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -17, 65\/127, 1\/3, 5 in ascending order.\nAnswer: -17, -4\/9, 1\/3, 65\/127, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*d + 5*d - 10, 5*c - 2*d = 38. Suppose -32*v + 30*v = -c. Solve 0 = -3*s + 2 + v, 5*s = 5*q + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k + 4677 - 151562 = 0. Suppose k = 21*x - 1151. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789*s**3 + 1156 + 490 - 1646.\nAnswer: 789*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/7)*k)\/k*k)**35\/(k**3*k**(-2\/5)))\/((k**(-1\/3))**(-2\/75)\/(k**(-1\/3)*k*(k*k**(1\/4)*k)\/k)) assuming k is positive.\nAnswer: k**(39877\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5*1\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*z - 10, 6*z - 8*z + 3 = -3*p. Let a(w) = 37*w**2 - 3*w - 2. Let l be a(1). Solve -26 = -z*d - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1441, 5973, 13733, 24889, 39609, 58061, 80413, 106833?\n\"Answer: 28*n**3 + 1446*n**2 - 2*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(363) + -1 - sqrt(363)) + -4) + 1)**2 - (6*(sqrt(363)*-1 + 1) + -1)**2)*-5.\nAnswer: -3300*sqrt(3) + 63260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/15 - 2*i**3 + 15*i**2. Differentiate m(u) wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23633 minus -0.0287?\nAnswer: -23632.9713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -9*c - 40. Let r be 2\/((c\/(-14))\/4). Let s = r - -2. What is the greatest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -440, 9 in descending order.\nAnswer: 13, 9, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvvvvxxx. What is prob of sequence xv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 53) + (4 + -8 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -243507135, -243507133, -243507131, -243507129, -243507127, -243507125?\n\"Answer: 2*f - 243507137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 7445*c - 7454*c + 3 = 0, f = -4*c - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3726*s**2 - 8115 wrt s.\nAnswer: 7452*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 + 10*a**2 - 18*a. What is i(3)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -q + 3*t, -4*q + t + 3*t + 408 = 0. Let a = 1686 - 3519\/2. Let k = a + q. Calculate the common denominator of k and -10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 - 4755*z**2\/8 - 385227*z\/2.\nAnswer: 3*z*(z - 1861)*(z + 276)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4036\/7, 0.04, 1.01?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 + t**2 + 7*t + 8. Let g be x(6). Let f be g\/(-1428) - (-4)\/(-6). Is -1 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5720465 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -34*a. Let g be -21*5\/(-30)*2. Let o be 6 + g + -5 + 3. Let n(l) = l - 10*l + o*l. Give m(n(s)).\nAnswer: -68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 39 = 3*m. Which is the fourth smallest value? (a) -1\/2 (b) 4\/7 (c) m (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 420\/6*2\/(-16)*-4. Suppose 0 = -v + l + j, 10*v + 2*l = 5*v + 203. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (7 - -2) + 9 + -9 + -15.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, z: 2, c: 1, q: 7, g: 4, f: 1}. What is prob of sequence gfq?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 + 55*h + 5. Let q(i) = i - 1. Let r(a) = -p(a) - 5*q(a). Factor r(u).\nAnswer: 5*u*(u - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, y: 3, v: 2}. What is prob of picking 2 f, 1 y, and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 7. Let g be n(-5). Put -1, -4, g in increasing order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*k - 21 = 0, 12*k - 16*k + 13 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 719 and 729 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 11*h**2 + 3*h. Let z be g(10). Let i = 12 - 7. Suppose -505 = -i*l - z. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1386 - -1399. Solve 17*h + 8 = p*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 11*u - 15*u. Let h be 29\/2*(22 + 2). Suppose -u*z - h = -15*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 + -142. Solve s*j = 2*c + 3 - 2, 3*c + 5*j = 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 - 874956*n**2\/5 - 63795666828*n\/5.\nAnswer: -3*n*(n + 145826)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 203 and (20 - -234) + 1\/((-6)\/36).\nAnswer: 50344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 41. Suppose -k = -4*a + 10*a. What is the closest to 4\/7 in -0.4, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/4 and 38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -67133832*r**2. Let k(g) = -g. Give o(k(n)).\nAnswer: -67133832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r**2 - 7*r + 18. What is the tens digit of i(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.72339 to one dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 16*i = -921. Let h = 395 - i. Calculate the smallest common multiple of 80 and h.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 545*v + 1. Give m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 82, 240, 494, 856, 1338, 1952, 2710?\nAnswer: 3624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 93585 - 44681 = 0. Calculate the remainder when l is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 571091*u**4 + 190045.\nAnswer: 2284364*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Put f, 0.03, -1 in decreasing order.\nAnswer: f, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/22*((-5)\/6)\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 203, 204, 205, 206?\n\"Answer: q + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -86 - (-44 + -25)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*sqrt(2) + sqrt(24)\/(sqrt(60)\/sqrt(5)).\nAnswer: -19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*-5*(-2)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66 + 1 + -2)*(-77 + -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 49*k = -8. Find the first derivative of 0*h**k + 9 - 8*h**4 - 2 wrt h.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2051*f**4*i - 11*f**4 + f**3*i + 2*f**3 + 5188*f**2*i + 44*f*i wrt f?\nAnswer: -49224*f*i - 264*f + 6*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, 1, 0.2, -880, -1, -5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26755 is divided by 8854.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 988998910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35407548 and -692956.\nAnswer: 34714592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkwpkpwp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/33*((-3)\/5)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1755*i**3*t**2 + 4*i**2*t**2 + 33*t**2 wrt i?\nAnswer: 10530*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15105 is divided by 15007?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 5 + 115 = 0. Let s(q) = q**2 + 2*q - 4. Let k be s(5). Let w = k + -13. What is the highest common factor of t and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (2 - 5))\/(-1). Let q = y - -3. What is the remainder when 11 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*z - 108, -3*z + 13 = -2. Suppose 0 = 2*t + 24 - n. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (1 + sqrt(76) + 0)**2) + -3 + 4.\nAnswer: -76 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + b = 50, 1452*b - 22 = -8*i + 1447*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -3, 37277, -0.3, -33, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, 2, -1, -13, 4, 7 in descending order.\nAnswer: 7, 4, 2, -1, -13, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 2 - -26*1\/2. Let d(a) = a**3 - 4*a**2 - 3*a + 9. Calculate the remainder when d(6) is divided by -2 - (t*10)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -12. Is 38 + z - 4\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k**2 - 127*k - 1. Calculate l(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436.44 - 415. Let q = 19 - w. What is q rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (2 + 0 + -2). Let v be 56\/(-6)*(-20)\/((-40)\/z). Which is smaller: v or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 889.9 + -890. Let d = 1\/2 - 0. Suppose 0*p = 2*p. What is the nearest to d in o, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -697, -5, -4, -2, 281 in decreasing order.\nAnswer: 281, -2, -4, -5, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - -4.3. Let a = z - -16.3. Let g = 12.99999888 - a. Round g to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 = -i, 0*i + t = 4*i - 11. Let c = i - 1. Differentiate 5 - 2*z**2 + 2 - 4 - z**c with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:32 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 4*u**2 + 4. Give s(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 68 - 11*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55*13\/117*(-9)\/(-15)*-18?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1692 and 1128?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**8*v*v))\/v*v*v**(3\/11))**(-2\/121) assuming v is positive.\nAnswer: v**(-160\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1\/3, -2\/7, 5 in decreasing order.\nAnswer: 5, 1\/3, 0.01, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5915623 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (128\/(-80))\/((-4)\/(-10)) - -112. Let y be ((-10)\/4)\/((-135)\/v). Solve -4*h = 3*k + 32, 0*k + k = y*h + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(36\/1869) + 23\/92 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -104, 0.1, 0?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 + 2*y - 2. Let k(g) = g**2 + 30*g - 167. Let t be k(11). Let o = 285 - t. Give m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4094 (base 11) in base 3?\nAnswer: -21110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**4*x - 16*b**4 - 2*b*x + 26*b wrt b?\nAnswer: -48*b**2*x - 192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50652 (base 7) in base 10?\nAnswer: 12336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r + 1997 + 903 = -10*r. Solve -43*t + 42 = -r*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0575 - 2.0575. Let u = -0.3 + -0.7. What is the closest to u in 3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.4 * -6.\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -250?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3678.74893 to 0 dps.\nAnswer: -3679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(5 - 3 - 1)*(-597*s**2 - 56*s**2 - 22*s**2).\nAnswer: -1350*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1520 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2039*m**3 - 2041*m**3 - 2046*m**3 + 6122*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8404 and 149429232.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*z + 31 = 2*l, 2*z = -l + 12. Let b(j) = j**2 - j**2 + l*j**2. Let h(r) = 0*r - 2*r + r. Give b(h(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2382, 2377, 2360, 2325, 2266, 2177?\nAnswer: 2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160297677.\nAnswer: 3, 1877, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 9*g**2 - 16*g - 76. Determine b(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101111011111 (base 2) in base 6?\nAnswer: 433435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d + 1. Suppose 5*v - 18 = 8*v. Let w(r) = -4*r**2 + 6*r + 8. Let y = 4 + -3. Calculate v*n(s) + y*w(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21353.5 - -21353. What is the fourth smallest value in -1\/11, -0.1, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -3478*a + 3483*a + 55, -12*a + f - 53 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62355 - -227336. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*p = 33934 - 12319 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + u - 40*u**3 + 42*u**3 + 9*u**2 - 18 in the form q*u**3 + z*u**2 + a + h*u and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -744*b - 440*b - 431*b + 171*b + 103*b to the form m + f*b and give f.\nAnswer: -1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/532350 and -83\/18018.\nAnswer: 5855850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 438*i**2 - 795 + 795 + 380*i**2. Let w(j) = -3*j**2. Calculate l(w(y)).\nAnswer: 7362*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.951 to two dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = -4*f, -2 = 3*z + f - 6. Solve 0 = u - 3*u + z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 1 + 1 + (0*h - h - h)*(1 - 2 - 1) + h + 0 + 0 + 0*h + h - 2*h + 2311*h - 1032*h + 1167*h.\nAnswer: 2451*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 424*h**2 - 11*h + 92. Is l(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56166214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8064 + 8054. Which is the nearest to 2\/3? (a) 187 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.97 + 2.9700728. Round b to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 88. Suppose 15 = k - 6*k, 3*j - w*k = 2016. Suppose 4*f - j = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*b = 18 - 2, 0 = -3*q + 3*b + 30. Let p = q + -6. Suppose -16 = -4*u + 2*x, -p*x = -3*u + 2*u - 1. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose v*p = -3*p + 10. Solve -p = 2*b + b + 2*i, -i = -b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219100*x**2 + 957222*x**2 + 844032*x**2 - 187351*x**2.\nAnswer: 1394803*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23922880 divided by -4784576?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1.3, -86\/7, -1, -1.3.\nAnswer: -86\/7, -1.3, -1, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 5959979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 8) to base 3.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4107830?\nAnswer: 2, 5, 410783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:40 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -67*g + 51. What is z(4)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-5)*1410\/235?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0.49, 0, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2242121.\nAnswer: -672636.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1412, 4, 7, -4, 34, -0.6, -3 in ascending order.\nAnswer: -4, -3, -0.6, 4, 7, 34, 1412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, 960, -3 in increasing order.\nAnswer: -3, -1, 1, 3, 960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 56. Let q(d) = d + 10. Let p be q(w). Find the second derivative of p*o**3 - 451 + 451 + 12*o wrt o.\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*s**3 + 9\/4*s**2 + 0 + 3\/4*s**4 + 3\/4*s.\nAnswer: 3*s*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 14. Suppose k*b = 4*b + 5. Is ((-4)\/b)\/((-12)\/870) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqymqymtmmmmmqmtqym. What is prob of picking 1 m, 2 t, and 1 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 13574991\nAnswer: 5\/13574991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1267 + -1827. Let a = y - -563. Sort -3\/2, -4, a, -3 in increasing order.\nAnswer: -4, -3, -3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4561 (b) 0.139 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-3)\/((-42)\/(-4)). Let r = -6.6 + 6. Let d = -0.4 + r. Which is the third smallest value? (a) d (b) 2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3377 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-74)*(-2)\/(-27).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 12*k**4 + 1 - 9*k**3 - 14*k**4 + 25*k**3 - 28*k**2 - 17*k**3 in the form w + t*k**4 + h*k**3 + o*k**2 + q*k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3862*j + 14796*j + 4043*j + 88224 = -7079*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -l - 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/39 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/((-36)\/20 + 2). Put r, -3, -7 in decreasing order.\nAnswer: r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:44 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22220 and -127\/308.\nAnswer: 155540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (32 - 1) - -33.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26395185 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808346227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -11, 2\/21, -3\/2 in decreasing order.\nAnswer: 2\/21, -2\/9, -3\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71870, 287474, 646812, 1149884, 1796690, 2587230?\n\"Answer: 71867*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003788858164 to five decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 934.4708 decades in centuries?\nAnswer: 93.44708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254999 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/(-264))\/(20\/(-32)). Factor y*g**3 - 4\/5*g**2 + 0 - 6\/5*g.\nAnswer: 2*g*(g - 3)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395 - 5558 = -39*y - 142*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-136))\/(7\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g*g)**45*((g*g**(-7))\/g)\/(g*g*(g*g**4)\/g) assuming g is positive.\nAnswer: g**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iguqutk. Give prob of sequence qku.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*m - 0*m - 9680, 3*m - 9684 = -i. What are the prime factors of i?\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/8 (b) 2\/13 (c) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4)*16\/(-4). Let n = q - -10. Suppose n*t - 132 - 134 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 1. Let t(b) = -4*b. Let j(f) = -2*a(f) + t(f). Calculate j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o - 30. What is the remainder when 45 is divided by m(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t + 5*t**2 - 12*t**2 + 3 + 8*t**2. Let j be y(-12). Solve 4*i + i = 2*s + 5, 3*i - j = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228345 divided by -228345.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -70\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -0.4, 5, -22, -0.1075, 3, 0.4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/((-4)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2 - 1 - 121*b**2 + 131*b**2. Let o be x(0). Suppose -y - y = -16. What is the highest common divisor of y and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 15708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -427 + 426. What is the nearest to g in 4\/5, 0, -3\/2, 20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, y: 2, i: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ba56 (base 13) in base 16?\nAnswer: 6548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81216 and 1607823.\nAnswer: 102900672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 10.\nAnswer: -6, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 228*r**2 + 6720*r - 12544 = 0. Calculate r.\nAnswer: 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 + -2523\/8. Is l at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 17. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1853 is divided by 614.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -723*j**3 - 25*j**2 - 4*j.\nAnswer: -4338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**18)\/s**(-21))\/((s*s*s*s**(-11\/6))\/s*s)**(-43) assuming s is positive.\nAnswer: s**(325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 11*x**2 - 11*x + 14. Let c be n(10). Suppose c*j - 7 = 21. Is 8 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0 - 17500*i**3.\nAnswer: -17500*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000452149 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72\/23 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108606671?\nAnswer: 31, 967, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.7 - 22. Let i = a - -0.3. Let p = -503\/30 - -171\/10. Sort i, 2, p.\nAnswer: i, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let p(z) be the second derivative of z + 0*z**2 + 1\/6*z**3 + 0. What is -3*g(q) - 7*p(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*r - 435*r - 35420 = 0. Round r to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578?\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/32391 and -4\/9.\nAnswer: 32391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17248 - 17248.00029984. What is t rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i**3 + 15343449*i**2*k**3 - 2*k**3 + 5*k**2 + 3*k - 1770091 wrt i?\nAnswer: 24*i**2 + 30686898*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1669 - 1525 = -356*u + 442 + 2416 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-40) + 29*3\/(-210). What is the nearest to -1 in 3\/7, -3\/8, s, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-2)\/16*-2). Let u be 2 - (-1 + 0)\/1. Suppose m = -u*m + g. Solve 3*x + m = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/195150 and -103\/174.\nAnswer: 5659350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 17 = -4*u - 1, -5*d + 5*u + 75 = 0. Let l = -14 + d. Suppose -k + 2*k = 4, -5*z + 3*k + 213 = l. Is z less than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (32\/(-18) + 12\/(-54)). Let i be (30\/6 + -5)\/(g - -5). Let w(l) = l**3 - l**2 + 2*l + 4. What is w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/7 + 75\/(-175). Suppose c + j - 3*j = 8, 5*c - 5*j - 40 = 0. Suppose q + c = -o*q. Put q, -5, 1 in ascending order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2))\/(((l*l**(-8))\/l)\/l))**(-3\/17) assuming l is positive.\nAnswer: l**(-57\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -30. Suppose 0*w - d = -5*w, 4*i - 28 = -4*w. Let k(f) = -2*f**2 + 7*f. Let s be k(i). Put s, -5, 1 in decreasing order.\nAnswer: 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**2*j + b**2 + b*j + 396*b - 1186*j + 10 wrt b?\nAnswer: -10*b*j + 2*b + j + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16071000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 - -431. Let b(q) = 5*q + 4. Let o(p) = 5*p + 3. Suppose -x = 3*x - 20. Let d(w) = x*o(w) - 4*b(w). Calculate d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 - i + 7. What is h(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + 2020?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -11697046.98 to the nearest one hundred.\nAnswer: -11697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*w - 37, w + 12*r - 15 = 9*r. Let q(h) = 56*h + 10. Let t(k) = -14*k - 3. Let z(j) = w*t(j) + 2*q(j). Differentiate z(a) with respect to a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*t + 30. Suppose -52 = -5*v - y, -2*v + t*y + 2 + 8 = 0. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 - 57920*m + 57925 = 0.\nAnswer: -11585, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(1216) + -2 + -1 + sqrt(1216) + sqrt(1216))*-6 + 0 + ((sqrt(1216) + 0 - sqrt(1216)) + 0 - (2*sqrt(1216) + 3)))**2.\nAnswer: -9425353 + 130944*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 253*f + f**2 - 253*f + 10 - 10. Let k(v) = -3348*v**2. Determine w(k(n)).\nAnswer: 11209104*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/27 and -40\/63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/1080 - o**5\/180 + o**3\/2 + 2*o**2. Let k(p) be the first derivative of r(p). Factor k(i).\nAnswer: i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18070 and 5668559?\nAnswer: 56685590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/(sqrt(24)\/sqrt(4)))\/(sqrt(27)*-5))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/6 + 37*h**4\/3 + 487*h**3\/6 + 613*h**2\/3 + 674*h\/3 + 268\/3.\nAnswer: (h + 1)*(h + 2)**3*(h + 67)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}