diff --git "a/data/dm_maths/full_data/1661_11255.jsonl" "b/data/dm_maths/full_data/1661_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1661_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 1064 divided by 266?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 515*x. Let j(r) = 2564*r. Determine -6*j(v) + 28*t(v).\nAnswer: -964*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 + 52*x - 1. What is n(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from axxxxaaaaaiix.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 divided by 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - o + 167992 = 167988, 2*o - 58 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 4 - 8*s**2 + s**2 + 4*s**3.\nAnswer: 5*s**3 - 7*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*q + 18, -3*x + 8*q - 13*q + 48 = 0. Solve 20 = 15*a - x*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from kgqvqkvgqvqkwvggvvgq?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -20 - (1882 + -1803).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77.9 + 78. What is the nearest to 1\/8 in -5, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 717444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 4, b: 2, y: 1}. What is prob of sequence bo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-24))\/(3\/12). Let n be o*(-20)\/4*-1. Suppose -97 = -n*r + r - 5*q, 1 = q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010001111 (base 2) to base 7\nAnswer: -6250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320873*u**3 - 15*u**2 + 2*u + 2371?\nAnswer: -1925238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -236\/310933 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 37 = 5*g, 3*g = 2*x - g + 8. Let m = 4 - x. Let r = m - -9. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.494518 kilograms in grams?\nAnswer: 494.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g + 560. Let w = -78 - g. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -4932?\nAnswer: -4935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 84562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 1293216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -627, -939, -1255, -1575, -1899?\nAnswer: -2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 430*m - 171*m**3 - 428*m + 13 + 168*m**3 - m**2 to y + c*m + w*m**2 + b*m**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*c - 2*c**3 + 5*c**2 + 4*c**3 - 56*c + 48*c.\nAnswer: 2*c**3 + 5*c**2 + 129*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:41 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 0 in decreasing order.\nAnswer: 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 200?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31.38732 or 0.3?\nAnswer: -31.38732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10328*q - 10514*q - 1666 + 5386 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let v be 9 - (-4 - 255\/(-20)). Which is the closest to v? (a) -2 (b) n (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*g = -1235, -5*c + 3*g - 4*g + 1243 = 0. What are the prime factors of c?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 332?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*l - 56. Solve l*d - 35 = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6515 and 39090.\nAnswer: 39090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1283527777 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4\/3)\/j)\/j)**23)**(-1\/66)\/((((j\/((j\/(j*j*j**7*j*j))\/j))\/j)\/((j**(6\/11)*j)\/j))\/(j**(3\/13)*j\/j**(-1\/3))) assuming j is positive.\nAnswer: j**(-20791\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5318 + -5318.2467. Let f = p + 0.246691055. Round f to 7 dps.\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n*n**6))*n\/n**(-3\/7))**(7\/5) assuming n is positive.\nAnswer: n**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**7\/525 - v**6\/150 + v**5\/150 + v**4\/30 - 2*v**2 - 7. Let s(g) be the second derivative of z(g). Factor s(c).\nAnswer: -2*c*(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:09 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 2. Let i be d(2). Suppose -3*x - 4 + 19 = -3*l, i = 4*l + 8. Suppose -4*s + 0*s + 17 = x*j, -j - s + 6 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = -4*m - 104. Let t be 26\/65 + m\/5. Let z = -22 - t. Put -9, z, -3 in decreasing order.\nAnswer: z, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959530 to the power of 1\/2, to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 4 - 32)\/2. Let h = l + 40. Let n = h - 21. Which is smaller: 8\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*p = 1338*p - 19 + 343 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-108)\/(-100)) - 2\/(-9). Suppose -u*z = 4*r - 97, 3*z - 6*z + 77 = -r. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 6*v**2 - 7*v - 5. Let a(k) = k**3 + 3*k**2 + 4*k + 3. What is 5*a(n) + 3*s(n)?\nAnswer: 2*n**3 - 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28ee07 + c9?\nAnswer: -28ed3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*o**3 - 2*o**3 + 2 - 2 + (2*o**3 + o**3 - o**3)*(3 - 3 - 1) - 5*o**3 + 0*o**3 + 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47325 is divided by 408?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 1. Give t(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g + 2, -42 = -2*y - 2*g. Suppose 0 = n - 99 + y. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 times -1.0138323?\nAnswer: 0.395394597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*m + 50. Let l be (-2)\/(-10) + 8\/m. Let z = 6 - 9. Which is the third biggest value? (a) l (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(6\/3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12 + 1)*(-1 - 3 + 2)*(3*w - 6*w + 2*w).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*2)\/sqrt(5).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3139, 12563, 28269, 50257, 78527, 113079?\n\"Answer: 3141*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 5*f**2 + 0*f**2)*(-287 + 443 + 138)*(f - 3*f + 0*f) - f**3 - f**3 + 4*f**3.\nAnswer: 1178*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 48*c + 230*c**2 + 65*c**2 + 42*c - 90*c.\nAnswer: -2*c**3 + 295*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*u + 28125 = -254*u + 185*u for u.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10*8 + (-2 - -261) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*x + 2 + 8 = 0, 5 = t - x. Let a(y) = 9*y**2 - y + 18. Let m be a(t). Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221852666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9776193.\nAnswer: 3, 7, 151, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/40*3\/(-2)*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*p - 4 = -0*g, 0 = 2*p - 6. Suppose q - g = -0*q. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 63*l**2 + 7*l - 9. Let y be m(3). Suppose 0 = 3*p - 5*a + 2*a - y, -p - a = -189. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 112906720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73896 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2049119, -4098237, -6147355, -8196473, -10245591?\n\"Answer: -2049118*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2 - (26\/10 - 102\/(-255))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.9664 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29a1 (base 16) to base 2\nAnswer: -10100110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(13) + 4*-2*sqrt(13))*-2.\nAnswer: 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*b**5 - 52*b - 62*b + 93*b wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 13*l - 518. Suppose 0 = z, p - 4*z + 4 = 6. Suppose -35*o - 2*o**p - 35*o + 4 + l*o + 12 = 0. What is o?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 11*r + 4. Let w be i(6). Let d be w\/(-16) + 1\/(-2). Let f = -10 + 9. Which is the second smallest value? (a) f (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/35 and 163\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28543294 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-12))\/((-23)\/((-1104)\/(-16)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -2*k**3\/3 - 17*k**2\/2 + 41*k. Let x = -885 - -879. Calculate z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1\/(-3) - -1). Suppose -o*k + 12 = k. Let a = 8 - k. Solve -5*t + 35 = -a*g, g + 3*t = t + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 + 420*l**4 - 2154*l**3 + 3036*l**2 - 1305*l = 0. What is l?\nAnswer: -145, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13968*b + 13732*b - 2124 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/33 (b) -1\/5 (c) 3\/5 (d) -13 (e) 3 (f) 0.2 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 14457, 136\/35 in increasing order.\nAnswer: 2\/11, 136\/35, 14457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207680 + 415680. Suppose 6*g - 2*g = i. What is g rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392904558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - j - 25, 5*j + 1020 = u - 0*j + 823 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*y**2 + 40*y**2 - 25*y**2 + (6*y - y - 3*y)*(-5 + 5 - 3*y).\nAnswer: 111*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 70. Suppose s = 13*f + 23. Calculate the least common multiple of 5 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-231)*((-8272)\/96)\/(-47)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 817 + -818. Let x = -0.05 + 0.45. What is the closest to x in 2\/3, f, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*11\/(1056\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3 - 5, -14 = -3*j - i. Suppose 4*x = 25 + 27. Suppose 2*u + 11 + 5 = 2*p, -2*p - 8 = 4*u. Solve -4*v = -5*d - x, -p*v + 6*v = -j*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 93 = -6. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*n - 1061615 + 1063183 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -203?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 4*b**3 + 2*b + 0*b**2 + 0*b**2.\nAnswer: -8*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -4\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22397860 divided by -146.\nAnswer: 153410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -14. Let p(i) be the first derivative of c*i**3 + 2 + 0*i**2 - 2*i + 1\/4*i**4. Find the first derivative of p(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Let p(b) be the first derivative of 0*b - b**2 - z + 1\/3*b**3. Find the second derivative of p(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:41 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) - 2*(sqrt(7) - (sqrt(7) + -3)) - (sqrt(112) - sqrt(112)*1)) + ((1*sqrt(448) + sqrt(448) - sqrt(448)) + -3*sqrt(7)*-3)**2.\nAnswer: sqrt(7) + 2015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620635 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99983, -99978, -99973, -99968, -99963, -99958?\n\"Answer: 5*j - 99988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 1, d: 2, m: 3, q: 3, g: 1}. Give prob of picking 1 a, 1 q, and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*1 + sqrt(20)\/sqrt(4)*4)**2 + (-6*(sqrt(55) + -3*sqrt(55)))\/sqrt(11).\nAnswer: 12*sqrt(5) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*r - 3*u, 0 = -5*r - 4*u + 18. Solve -r*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 17. What is the biggest value in -2\/7, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from zuuzzzzzzzuzzzzzzuzz?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) 2 (c) -46\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/69*(-3 + (-8)\/(-6))*(-54)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99240650 to the power of 1\/2, to the nearest integer?\nAnswer: 9962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s - 18 = 186 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-16)*t))\/t**(-7))**(1\/37) assuming t is positive.\nAnswer: t**(-10\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(2*sqrt(245)*-2 - sqrt(245)*-2*-5))**2 + 5.\nAnswer: 2401005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b + 30 = 69*b. Suppose b*s - 36 = 4. Factor 0 + 0*r**s + 0*r**2 + 0*r - 1\/4*r**3 + 1\/4*r**5.\nAnswer: r**3*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2\/3 - 334744*h\/3 - 5356928\/3 = 0 for h.\nAnswer: -16, 83702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdq when three letters picked without replacement from tsqdtprdqtrt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24270395.\nAnswer: 5, 4854079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7938 (base 15) to base 9\nAnswer: 38228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2890 = -0*o + 5*o. Let z(w) = w**3 + 13*w**2 - 3*w - 31. Let b be z(-11). Suppose 5*f = -2*y + 846, f + b = 2*y - o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 36. Suppose -15*a + 14*a = p. Suppose 2*r + 4 = -a. Put r, 5, -5, 0 in descending order.\nAnswer: 5, 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176759049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*9\/(-1050)*10\/2*(-6)\/45?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*n + 12. Suppose -3*v = r - 24, -4*v - 3*r + 32 = -7*r. Let q be (-3 - -1)\/(v\/(-8)). Solve -q = p - n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + ((sqrt(17) + -2 + sqrt(17))*6)**2 + sqrt(119)\/(sqrt(28)\/sqrt(4)) + 3.\nAnswer: -286*sqrt(17) + 2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14543, 29086, 43629?\n\"Answer: 14543*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17109 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -49. Let j be (t\/32)\/((-1)\/4). Suppose 0 = h + 4*z - 76, 4*z - 682 + 254 = -j*h. Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let q(g) = 3*g**2 - 20978*g - 13. What is l(q(r))?\nAnswer: 6*r**2 - 41956*r - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11388 - -15266. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 66*w - 604. Let b be f(9). Put b, 10, -3, -2, -5 in decreasing order.\nAnswer: 10, -2, -3, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -41, -15, 21?\n\"Answer: 5*s**2 + s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2*w - l**2 + 18*l*w + 166869708*l - 36271*w wrt w?\nAnswer: 2*l**2 + 18*l - 36271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsqq when four letters picked without replacement from {s: 7, q: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 2*w**2 - w - 2. Calculate the smallest common multiple of 5 + ((-6)\/8)\/((-3)\/12) and h(3).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.13908 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-5) - (-30)\/100)*-18. Let z(b) = b**2 + 10*b + 14. Let p be z(l). Put p, 1, 3, -5 in descending order.\nAnswer: p, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*f - 19 + 19. Solve -9*i + 1750 - 1768 = f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g**2 + 3. List the prime factors of p(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/18*135\/420\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:18 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8 + (6 - (1 + -12)) - 26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -3)*(-1)\/(-2). Let h = x - -63. What is the highest common divisor of h and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20672 and 646.\nAnswer: 20672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:29 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 4. Let y be w(-9). Suppose y*g - f = -26000003, 3*g - 5200015 = 4*g - 5*f. Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 - 9*f + 22 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**3\/6 - 5*p**2. Let h(m) = -2*m - 7. Calculate h(k) + 6*n(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -16, -22, -30, -40, -52, -66?\n\"Answer: -f**2 - f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3093*x**2 - 5 - 3 + 15*x - 88*x + 9233*x**2 - 122*x wrt x?\nAnswer: 24652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.21 and 182.\nAnswer: 196.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 49.7. Which is the closest to g? (a) 4 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 81, 124, 181, 246, 313, 376?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.3. Let i = -0.2 + w. Is -0.2 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iepijieippviiipepiee. Give prob of sequence vj.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2310374 - -11210374. What is d rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342219 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:16 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45)\/(-5*sqrt(9) - sqrt(9)) + 3*(5*(sqrt(320) + sqrt(5)) - sqrt(5)))**2.\nAnswer: 1582*sqrt(5)\/3 + 3128549\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6194636797 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + sqrt(2448) + sqrt(2448) + sqrt(2448) + 0 + (sqrt(2448) - -3*sqrt(2448)*4)**2 + (-4*((sqrt(2448) + -1 - sqrt(2448)) + 4 + -4))**2)*6.\nAnswer: 288*sqrt(17) + 2482362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, w: 13}. What is prob of sequence tt?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180 + 6*y**2 - 2*y + 288 + y - 3*y wrt y?\nAnswer: 12*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(325)) + -5)**2 + (-2*sqrt(325)*1 - sqrt(325)*-1*-4).\nAnswer: 810*sqrt(13) + 5641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.05 from -136.\nAnswer: -137.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2490.641 millilitres to litres.\nAnswer: 2.490641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7)*b)**(2\/35) assuming b is positive.\nAnswer: b**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189869354 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**2 - 5*f - 1. Let x(w) = 10*w**2 - 6*w - 1. Let u(y) = -7*j(y) + 6*x(y). Calculate u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 3316164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3240 divided by -27\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:51 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 237*v**2\/4 - 1410*v + 7425.\nAnswer: 3*(v - 10)**2*(v + 99)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 14\/10) + (-11 - 178\/(-20))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.8 + -10.6. Let j be (-2)\/12*44\/58. Let o = j + -6\/29. Put n, o, 5 in ascending order.\nAnswer: o, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**2*y**5 - 83*n**2*y**3 - n**2*y - 15*n - 11*y wrt y.\nAnswer: 40*n**2*y**3 - 498*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.31732 + -0.41732. What is the second smallest value in -2\/7, -0.003, -0.02, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 2*g + 22 = -3*h, -5*h + 5*g + 5 = 0. Let i(z) be the first derivative of h*z**4 - z**4 + 3*z - 12 - 2*z. What is i(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207540245 and 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*488.15.\nAnswer: -3417.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 53 - 38, -2*y + 4994 = 2*o. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67420 (base 10) in base 8?\nAnswer: -203534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39292 is divided by 13083.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5\/7 + 16566*m**4\/7 + 2482593*m**3\/7 - 49692*m**2\/7 - 7480884*m\/7 - 4965168\/7 = 0.\nAnswer: -146, -1, 2, 5668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 42590*i. Let u(v) = -2*v**2. What is u(o(t))?\nAnswer: -3627816200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 22. Solve 0 = -3*k - m - 6, -4*m + 5*m - y = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**6\/180 - f**5\/20 + f**4\/6 + 13*f**3\/3 + 15. Let g(t) be the third derivative of b(t). Let d be -4*1*(1 - 2). Give g(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Differentiate 1 - 6 + 4 - 2*j**a with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + -2.85. Let t(b) = 65*b - 7346. Let u be t(113). What is the second smallest value in u, m, -1\/8, -6\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t**(-23\/6)\/t)\/t))**(-24\/13)*(t\/(t*t**(-13))*t)\/t**(-4))**(-9) assuming t is positive.\nAnswer: t**(-846\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036526501 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1205, -52, -5 in decreasing order.\nAnswer: 1205, 4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30068 is divided by 4973?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 40. Let t = g + -17. Let u = 12 - t. Solve -v - 5*c = 2*v + u, 2*v - c + 4 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10321 - -14508. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**3 + d. Let v be (3 - -3)\/(3\/10). Let s(z) = 4*z**2 + z + 1. Let y be s(2). Let x = y - v. Calculate f(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 5*t + 2. Determine p(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.8780786 + 0.0385214. Let x = a - 0.0166. Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 258, 625, 1288, 2391, 4078, 6493, 9780, 14083?\n\"Answer: 24*f**3 + 4*f**2 + 187*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 2\/12. Let g(r) be the third derivative of -r**5\/60 + r**3\/6 - 3*r**2. Let x be g(2). What is the nearest to -1 in x, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 292, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, -960 in descending order.\nAnswer: 4, -20, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**3*x**2 + 30*n**3 + 25*n**2*x**2 - 21*x**3 + 440*x wrt x?\nAnswer: 14*n**3 + 50*n**2 - 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4250 and 0.2?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 23769900?\nAnswer: -23769895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8282754165 less than 72?\nAnswer: -8282754093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/113006 and 5\/2284?\nAnswer: 129052852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10057 = -8*r - 873. Suppose 25 = -0*q + 5*q, 0 = -4*f - 4*q + r. List the prime factors of f.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -34. Let k be 1\/3 + (-14)\/t. Which is the third biggest value? (a) -0.2 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(363)*-2).\nAnswer: -sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -65. Let h = j - 11. Suppose 3227 = -4*s - 4*x + 703, 2*x = -h. What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.233, -64, -5\/31, 2\/13 in descending order.\nAnswer: 6, 0.233, 2\/13, -5\/31, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(7\/(-168)). Suppose h*c - 123 = 5*c. Suppose 0*b + c = b. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Let l(i) = u - 7*i + 9*i + 2*i + 1. Let w(q) = -q. Give l(r) + 2*w(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -0.2, 3, -2\/19, 19, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 11 = 2*q, 4*v + 5*q + 25 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(156)*1)\/(sqrt(24)\/sqrt(2)*-1) - ((sqrt(13) - (sqrt(13) + (sqrt(13) + 2)*6) - 2*sqrt(65)\/sqrt(5)) + -3))**2.\nAnswer: 300*sqrt(13) + 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272209\/6 - 45774. Let v = 404 + o. Find the common denominator of -11\/14 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1729 (b) 0.5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 68. Suppose 53 - t = -4*a. Let o(f) = f + 8. Let z be o(a). Put 4, z, -5 in descending order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*f**2 + 58*f**2 - 56*f**2 in the form j*f + t + a*f**2 and give a.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -4, 0.3, -56?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 1099*i - 105. Let t(w) = -3*w**2 + 1098*w + 131. Give -5*d(r) - 4*t(r).\nAnswer: 2*r**2 + 1103*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-19 - (8 + -14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 12\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 19 = -151*v + 148*v, 3*v - 2*w = -17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*p - 4, 3*x + 12 = x + 6*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - 4. Let g(w) = 13*w**3 - w**2 + 11. What is -3*g(r) - 8*o(r)?\nAnswer: -7*r**3 + 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/2 - 7*u - 2. Let d(y) = 12*y**2. Determine d(f(t)).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 9. Let t = -23 + 16. Let v be u(t). Which is the closest to 3? (a) 4 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(7\/((-343)\/28)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 55*x**2 - 2*x + 4. Let p(k) = 222*k**2 - 9*k + 18. What is 9*d(j) - 2*p(j)?\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -18) + -9 - (4 - 0)) + 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 118, 90, 38, -44?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w = -41*w - 15. Let z(b) = -b**3 - 3*b**2 + 3*b - 1. Calculate the lowest common multiple of z(-4) and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13839 and 0.4.\nAnswer: -5535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 + -24 - (-642)\/2 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -713067 and -4.\nAnswer: 2852268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9.4. Let s = 0.4 + o. Which is the nearest to 2\/3? (a) 1\/2 (b) 10 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84, -300, -652, -1140, -1764, -2524?\n\"Answer: -68*t**2 - 12*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530.016 years to millennia.\nAnswer: 0.530016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/1180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 0.01. Let y = 102365.2 + -102362. Which is the fourth smallest value? (a) 0 (b) -2\/3 (c) y (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(207\/(-621)*12\/(-1)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5237713826?\nAnswer: 2, 2618856913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254069 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*221 - (-14 - -9 - -10). Suppose -t + 61 = 3*q, 0 = -t - 3*t - 5*q + b. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 7, s: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 158, 231, 434, 833, 1494, 2483, 3866?\n\"Answer: 11*k**3 - k**2 - k + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 40 + i**4 + 4*i - 104 - 2*i + 33 as h*i**2 + t*i**3 + m + y*i**4 + q*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 47. Let m be p(-21). Suppose 2*h + 15 = -m*j + 7*h, 4*j - 13 = -h. Let n(v) = -12*v - 1 + v**j - 5 + v**2 + 8*v. Give n(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701469 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1525, -1468, -1409, -1348, -1285, -1220, -1153?\n\"Answer: l**2 + 54*l - 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1725 divided by 5?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 86*l + 242. What is g(0)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:24 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8841?\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369, 561, 763, 981, 1221, 1489, 1791?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158591253 and 1713.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:51 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-7 + 32*v - 13 - 2*v - 4).\nAnswer: -60*v + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 302, 439, 560, 659, 730?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l + l**2)*((-58 + 78 + 87 + 257)*(2 - 2 + 1) - 5 + 25 + 12) as m*l + q*l**2 + z and give q.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b - 2 = 0, -5*b = 3*p - 17. Find the third derivative of 37*q**3 - 37*q**3 + 8*q**2 + 7*q**p wrt q.\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301324305 (base 6) to base 15.\nAnswer: -6aebbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -7a6e3a?\nAnswer: -7a6e3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + w - w)*(1 + 1 - 3) - 5*w + 2*w + 2*w - 5*w - w + 4*w + (-2 - w + 2)*(0 + 1 - 2) + 2 + w - 2 in the form y + u*w and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496881 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593150 divided by -4.\nAnswer: -296575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*m**3 - 2*m**2 + 12*m + 2.\nAnswer: 2214*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 348*d - 369*d + 126. Solve 2*h + 5 = -3*k, -4*h + 24 = -2*k - d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkg when three letters picked without replacement from {q: 2, g: 2, k: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 337190974*l**2 + 160300564.\nAnswer: 674381948*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = k - 6*m - 60, 5*m + 340 = 5*k. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4322567844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13161*b**2*h**2 - b + 882*h**2 - 1 wrt b.\nAnswer: -26322*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -198 * -0.2\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(32\/(-84))\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 24*r - 45. Calculate d(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75977 is divided by 5819.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-10\/11)))\/k*(k**28*k)\/k assuming k is positive.\nAnswer: k**(287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 2*l + 3. Let f be s(-2). Suppose -n + 6 = -0*n + 3*c, 0 = -4*n - 2*c + 4. Factor 3\/4*t**f + n*t**2 - 3\/4*t + 0.\nAnswer: 3*t*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120\/17 + -635\/102. Let m = -250 + -66. Calculate the common denominator of c and m\/(-2)*2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 97*j + 14. Suppose 122 = -3*z + 131. Is d(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -274*q**2. Let c(a) = -53*a**2 - a. Calculate c(b(g)).\nAnswer: -3979028*g**4 + 274*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 10*w + 5*t - 26, 158*t = 3*w + 2*w + 943 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13333 (base 6) in base 12?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:11 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 - 205. Suppose -10752 = -63*r + n*r. Calculate the greatest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 1, u: 3}. What is prob of sequence cub?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.5 (c) 0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110885424325 - -110887752845.79937. Let k = -2328532 + n. Let w = k - -11.2. Round w to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-5)*(-2)\/(-3). Let r(t) = -t**3 - 2*t**2 + 2. Let n be r(0). Which is the biggest value? (a) n (b) 16 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1342240 - -5?\nAnswer: 1342245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24259, -24447, -24949, -25921, -27519, -29899, -33217, -37629?\n\"Answer: -26*g**3 - g**2 - 3*g - 24229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = 5*f - s, -5*f + 521 = -3*s - 493. Let g = f - 27. Suppose 7*y - 4*y = g. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38392 bigger than -38391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 1 - 6) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 80 = 18. Let c(k) = -k**3 - 4*k**2 - 2*k - 3. Let n be c(-4). Solve -s*u = -n + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 l when four letters picked without replacement from nnlwwnwnnxnnnnnwnlwd.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**2 + 0*f**5 + 0 + 0*f + 0*f**3 - 1\/12*f**4 - 1\/70*f**7 + 0*f**6. Find the second derivative of a(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 94, 2\/11, -19, -3\/4, 6, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011111001101110110 - -1?\nAnswer: 110011111001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -115*(38 - 37 - (-26)\/(-10)). What is the greatest common factor of 230 and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, i: 4, p: 2, j: 11}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720\/8*(52\/(-26))\/8?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - (-3 - 6)) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z + 20. Let l(f) = -6*f + 114. Let r be l(18). Let v be u(r). Solve -3*y + 3 = -3*p, v*p + 3*p + 4 = 4*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 + 2509771*c**4 - 2509766*c**4 + 2*c**3 + 34*c + c**2 in the form t*c**4 + d + z*c**3 + i*c + l*c**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 13. Let u(p) be the first derivative of p**2\/2 + 14*p + 2015. Give -4*k(w) - 3*u(w).\nAnswer: w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x + 16. What is the lowest common multiple of 32\/6*(-6 - 102\/x) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133211 (base 5) to base 16\nAnswer: -1537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.895 (b) 3 (c) 11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8385187 litres to millilitres.\nAnswer: 838.5187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:33 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 228b513 + 3?\nAnswer: 228b516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 + ((-6 - -6) + 1 - -2) + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*a - 60 = 0, 3*x - 4*x - 8 = -3*a. Let j = -1 - x. Let b be 16\/56 - j\/(-126). What is the biggest value in 0, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132782.427 to the nearest 10.\nAnswer: -132780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 15, g: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 - 1292*n**2 - 2*n - 584. Determine w(-323).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*1\/4*4. Suppose d = 4*a - k - 191, 0 = -5*a - 2*k - 0*k + 242. Calculate the common denominator of -77\/4 and (596\/a + -1)*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264561128 by -66140282.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let y(v) = -3. Let h(c) = 43*c + 775. Let o be h(-18). Let b be (6\/(-10))\/((-4)\/(-20)). Let a be ((0 - -4) + b)*-1. Determine a*y(j) + o*p(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 143*w + 975. Let v be s(-9). Which is bigger: -156 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*i + 37, 0 = 3*u - 2*i + 4*i + 31. Let l = -8 - u. Put -2, l, 5 in increasing order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((0 - -15) + -28 + 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2. Let i(a) be the third derivative of -a**5\/30 + a**4\/24 - 117*a**2. What is i(m(y))?\nAnswer: -18*y**4 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110240263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2544 and -209.777.\nAnswer: 533672.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -80415.74\nAnswer: -402078.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*s + (3 - 3 + 1)*(2*s - 6*s + 2*s) - s + s - 2*s - s + 0*s - s)*(-49 - 52 + 80).\nAnswer: 168*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 119, 145, 179, 221, 271, 329, 395?\n\"Answer: 4*l**2 + 14*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -4) + 30 + (-12)\/6. Are 31 and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0885 less than -3?\nAnswer: -2.9115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 9:05 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v + 23*v - 59*v + 31*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-282)\/(-27072))\/((-3)\/(-36))*-552\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59770 or -418394\/7?\nAnswer: -418394\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -29. Let i = l + 29. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5810567834?\nAnswer: 2, 223, 13028179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6445510 is divided by 2031.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/9 - ((28 - 4) + -18)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112757565 = -451*a - 50*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -3. Let c = 419 + -189. Let u = c + -149. Calculate the highest common divisor of u and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2691\/(-230))\/39 - (-12)\/40. Factor -8\/11*k**3 + w*k + 0*k**2 + 2\/11*k**4 + 0.\nAnswer: 2*k**3*(k - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -10. Let t(a) be the second derivative of 0*a**2 + 0 - 1\/48*a**4 + 1\/80*a**s - 2*a + 0*a**3. Determine g so that t(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-112)\/12)\/((-2)\/6). Suppose -2*x + u = 5*u - 36, 4*u = -x + j. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - e2?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 2, j: 1}. Give prob of sequence hb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723011281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -8\/5*r**5 - 168 + 0*r + 49*r**4 + 224\/3*r**3 + 24*r**2 - 14\/3*r**6. Find v such that a(v) = 0.\nAnswer: -2, -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4589040 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 next term in -34522, -67982, -101442, -134902, -168362, -201822?\nAnswer: -235282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 - 2.71. Let z = 10 - 5. What is the nearest to -1 in z, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**7\/7 - 14*f**3 + 19. What is the third derivative of h(j) wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:20 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39965 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/j*j**0\/j)**47*(j**(2\/13)*j)\/(j*j**(-1\/5))*j**(4\/7)*(j**(-2\/7)\/j)\/j assuming j is positive.\nAnswer: j**(-107544\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23563 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r**2 + 6*r + 8. Give y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 7)\/(0 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 255, 533, 935, 1467, 2135, 2945, 3903?\nAnswer: 5015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352216473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3386574 and 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3790, -6788, -9786?\n\"Answer: -2998*a - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let i(u) be the third derivative of u**8\/20160 + u**5\/15 - 3*u**2. Let d(v) be the third derivative of i(v). Calculate d(q(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -9357?\nAnswer: 9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 284 = v. Let h = v - 65. What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose d + 8 = -h*d - p, 3*d - 3*p + 12 = 0. Is -2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*s + 2*s - 6 = 0, 0 = 5*c + 2*s - 13. Sort -3, 0, 15, c.\nAnswer: -3, 0, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -819846.515 to the nearest 10000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19815600 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (80\/(-25))\/(1\/(-30)). Suppose -2*w = w - k. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z*z**(-2\/15))\/(z**2)**(-1\/2) assuming z is positive.\nAnswer: z**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 10:00 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:42 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 453*y**2 + 14*y - 98. Let w(g) = -g**2 - 2*g + 14. Let b(h) = 2*f(h) + 14*w(h). Let a(m) = -3*m**2. Determine b(a(q)).\nAnswer: 8028*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*n - 6*n**3 + n**3 + 9*n wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/56*31\/(930\/(-72))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (36 + 4 + -2)) + 22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - (-8 - (1 + 9 - -54 - 0))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 4. Let r(b) = 5*b - 4. Let o(f) = -6*d(f) + 5*r(f). What is the derivative of o(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 70*k**4 - 125*k**3 + 60*k**2.\nAnswer: -5*k**2*(k - 12)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = 0. Suppose -6*g - 168 = -2*g + 5*y, g - 3*y + 42 = x. Let a = g + 79. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*x + 6, -3*w + 5*x = -w - 11. Suppose 2*o = -3*o. Suppose o = -c + 8 + w. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 4*u**2 + 5*u - 3. Let h be 2 + ((-3)\/3 - -3). Suppose 0 = -b - 4*z + 3, -6 = -h*b + 2*b - z. Determine a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 912*y**2 + 69312*y - 1755904.\nAnswer: 4*(y - 76)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1081.7 and 20.\nAnswer: 21634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:09 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(0*w**2 + w**2 + 2*w**2) + 2*w**2 - w**2 + 0*w**2)*(w**3 + 0*w**3 + 0*w**3).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(0 - -7 - 6\/(-12)*-15). Let n(l) = l**3 - 3*l**2 - 13*l + 6. Calculate n(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 14*a - 10. Suppose x - 3*w + a = 0, -3*x = -4*x - 3*w + 20. Solve 4*c + 15 = -4*o - 17, -31 = x*o + 2*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from {m: 6, x: 7, k: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 6*v + 15. What is the units digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670941065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 + 75*l**2 - 43*l**2 - 33*l**2)*(2 + 3 - 4)*(-l**2 - 2 + 2).\nAnswer: -5*l**5 + l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/526848 and -73\/366912000?\nAnswer: 2568384000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 141, 312, 551, 858?\nAnswer: 1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*c - 147*c + 33536 = 0. Calculate the highest common divisor of 600 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1001087, 1001060, 1001035, 1001012, 1000991, 1000972?\n\"Answer: d**2 - 30*d + 1001116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let h(w) be the first derivative of -53 + 171*w**2 - 77*w**2 - 82*w**2. Calculate q(h(a)).\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**4 - 7*y**2 + 100*y**3 + y + 6*y**2 + 13 - 99*y**3 - 1 in the form o*y**2 + j*y**4 + l*y**3 + m + v*y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 41*y**2 - 362*y - 51. Give r(-29).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -49*b**3. Calculate c(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*y + 2)*(-1 - 5 + 4)*(y - 3*y + 0*y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*b - 45, 0 = -28*f + 25*f + 2*b - 12. Does 18 divide 126 - (-3 - (f - -11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96173790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*p**3 + 761*p**3 - 362*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Let v(l) = 26 - 78 + 28 + 26. Calculate 3*j(z) + 5*v(z).\nAnswer: -3*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 2576?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469502*l + 469502*l + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 4.13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-6 - -7) + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z - 4. Let s be 8*(-1 + 0 - (-24)\/16). Let y be 36\/((-24)\/s) + 1. Sort y, z, 10.\nAnswer: y, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35044740 by 2920395.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 24605507\nAnswer: -221449563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60192 and -93.\nAnswer: 60099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1238884?\nAnswer: 1238884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44883 - 2?\nAnswer: 44881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 2.6?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 18. Suppose 0 = 19*u - 42 - k. Suppose z + 4*g = 3, 2*g + 81 = -u*z + 8*z. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5875853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -2*d + 9*o + 17, -3*d + 3*o = -21. What is the second derivative of 633*c**4 - 2*c**2 - 634*c**d - 105*c - 7*c**2 wrt c?\nAnswer: -12*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 14.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*o**3 - o + o - 135*o**3.\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + b + 35 = 5*b, -5*k = 2*b - 25. Find the third derivative of 19*z**k - 4*z**2 + 13*z**2 - 5*z**3 - 5*z**2 wrt z.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -299, -186, 35, 400, 945?\nAnswer: 1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 470 and 1034?\nAnswer: 485980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*s + 33*s + 62. Let c(g) = -20 - 9*g + 0*g**s - 11*g - 12 + 8 + g**2. Determine c(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((17 - (-18 + 21) - 7) + 33).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 63. Let s = 6 + q. Let u be 1*((-45)\/10)\/s. Are 2\/5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42006 (base 7) in base 16?\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 992008.89s?\nAnswer: 11.481584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -6 - -1 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 90. Let t = -14 + v. Let q(s) = s**2 - 2*s + 12. What is the units digit of q(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Factor 1 - 2*d**2 - 3*d**z + 3*d**3 + d**4.\nAnswer: (d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/15 + 68*y**4\/5 + 1602*y**3\/5 + 8992*y**2\/15 + 1464*y\/5 = 0?\nAnswer: -18, -1, 0, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -478709\/24 - -19943. What is the common denominator of j and 27\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4 = -44. Let u(p) = -6*p**3 - 8*p**2 - p - 2. Suppose -18 = 13*x - 5. Let b(h) = h**3. Let g(i) = x*u(i) - 5*b(i). Calculate g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282827708.\nAnswer: 2, 17, 4159231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 25405*a - 809881. Give l(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = 3*c, -5*u = 3*c - 25. Let q be u - -3*4\/6. Suppose -148 = -q*g - 2*w, 3*g - 3*w + w - 97 = 0. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/10)\/(d\/(d*d**(-2\/37)*d*d)) assuming d is positive.\nAnswer: d**(609\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 4\/7 (c) 911 (d) -0.01 (e) 0.4 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**2)*l**(-6)*(l**6*l)\/l**(1\/7) assuming l is positive.\nAnswer: l**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 305570 = 3*j, -336*q + j = -334*q - 122217. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -3 + 10\/2. Let i be p\/1 + -2 + -2. Suppose f + 4*h = 10, -5*f + 2*h = -i*h - 72. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1\/3, -1\/3, 2\/5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 11*t - 8. Let u be r(8). Suppose -5*x = n - 81, 241 + u = 3*n + x. Calculate the remainder when n is divided by -12 + 8 - ((-4)\/1 + -22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1701, 3823, 5945, 8067, 10189, 12311?\nAnswer: 14433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 261, 730, 2169, 5070, 9925, 17226, 27465, 41134?\n\"Answer: 82*z**3 - 7*z**2 - 84*z + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10aa0 - 4?\nAnswer: 10a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**2 + 3*n + n**2 - 9*n + 8. Let d(c) = -7*c**2 - 5*c + 7. Let q(x) = -7*d(x) + 6*h(x). Calculate q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h - 158. Let v = 337 - 303. List the prime factors of f(v).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3222, 3218, 3212, 3204, 3194, 3182, 3168?\nAnswer: 3152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73764, 73447, 72916, 72171?\n\"Answer: -107*h**2 + 4*h + 73867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908609 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1336.\nAnswer: 534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4999.7 rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, 0.12, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 11:44 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.313062 in 3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -c + 2*c - 14785, -5*h + 59158 = 4*c. List the prime factors of c.\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*t - 48, 3*i + 5*t = 26 + 27. What is the remainder when ((76\/(-3))\/19)\/((-1)\/30) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**14\/(z**(-1\/5)*z))**(9\/5))**(-12\/11) assuming z is positive.\nAnswer: z**(-648\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28771 is divided by 28759?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**12\/(u\/u**(13\/4)))\/(u\/(u\/(u*u**10)))**(11\/3))**(-31) assuming u is positive.\nAnswer: u**(9703\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {i: 1, a: 1, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 11.77 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.627 to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15, -2*v - s = -0*s - 1. Let i = -21 - -42. Suppose -6*x = 39 + i. Sort x, v, 2\/5 in descending order.\nAnswer: 2\/5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(((-5)\/10)\/((-5)\/(-10))). Let b = 8 - 9.5. Let d = 0.5 - b. What is the closest to j in d, 1\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {n: 4, r: 5, e: 7, m: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 665087?\nAnswer: -1\/665087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h**3 - 61*h**2 + 9*h + 79. Let f(g) = 7*g**3 + 41*g**2 - 6*g - 53. Let i(x) = -7*f(x) - 5*j(x). Is i(-18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -0.02848510087?\nAnswer: -5.02848510087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(3\/13))\/p)**(6\/19)*(p**(2\/77)*p)\/p**(6\/11))**(4\/7) assuming p is positive.\nAnswer: p**(31012\/133133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 10 = 0. Let p = 5 - 3. Suppose -8 = -p*j - 0*j. Calculate the lowest common multiple of j and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12654 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*g - 3 + 15, -4*k + 2*g + 6 = 0. Let o(r) be the first derivative of 1\/6*r**4 - 1\/15*r**5 + 1 + k*r - 1\/9*r**3 + 0*r**2. Factor o(s).\nAnswer: -s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1100031 + 5?\nAnswer: 1100036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1280\/9, 0.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/22 - (-2 - 2 - (-7585)\/2035).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/(-294) - 10\/(-105)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, 16, 107, 198, 289?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 52 = 5*t, -4*x - 16*t + 12*t + 34 = -18 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(87\/2030*14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 52. Is g(12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -5324631?\nAnswer: 5324631.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqxxqxxxqqq. Give prob of picking 2 q.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/12)\/(10\/4). Factor -m*h**3 + 0 + 2\/3*h**2 + 0*h.\nAnswer: -2*h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1542 and 5951349.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2886 = 20*u - 16366. What are the prime factors of u?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1435*l - 12912. Determine f(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1575543317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(63)\/(sqrt(72)\/sqrt(72)) - (2*sqrt(224)\/sqrt(4))\/sqrt(8)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Suppose 15*m - 4 + 49 = 0. Let s(d) = 37*d**2 - 2. Let f(u) = -37*u**2 + 3. Let z(l) = m*s(l) - 2*f(l). Calculate z(h(r)).\nAnswer: -333*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/3 - 35\/7. Let c = -8 + -2. Let x(u) = -u**2 - 10*u - 1. Let m be x(c). Sort m, a, -3 in increasing order.\nAnswer: -3, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2704 divided by 4\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 2)*((3*r - 3*r + 4*r)*(5 + 2 - 3) + r - 2 + 2 + r + 2 - 2 + 0*r - r + 2*r + (-1 + 2 + 1)*(-2 - r + 2) + 5*r - r - 2*r) as u*r + x and give u.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36737369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 55*j**2\/2 - 201. Let d(f) be the second derivative of -2*f**3\/3 - 14*f - 2. What is d(u(k))?\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -261*g**2 - 1. Let v be b(1). Let n be 0\/(9 + 4 + -14) + -261. Is n <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*m = 3*j - 4*j + 319*m - 75, 4*j + 185 = 59*m - 178 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Let d(b) = 5*b**2 - b - 2. Let f be d(y). What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:54 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4283 is divided by 597.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22433, -44863, -67293, -89723, -112153, -134583?\nAnswer: -157013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96604633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62266, 249064, 560392, 996250, 1556638, 2241556, 3051004?\n\"Answer: 62265*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = z - 84. Let u(w) = -4456*w + w**z + 4456*w. Let o(v) = -6*v**2 - 2. Determine o(y) + 10*u(y).\nAnswer: 4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 + 35*x + (x + 0 + 0)*(1 - 1 - 2) to l + s*x and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsz when three letters picked without replacement from {h: 2, s: 1, z: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/((-21840)\/(-845)))\/(2\/(-4)).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-55)*10\/15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15683 divide 3107147326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2500) - 1*-2*sqrt(2500) - sqrt(2500)*-2*3)\/((sqrt(50) - (sqrt(50) + (sqrt(50) - 2*sqrt(6050)) + sqrt(50)))\/(5*sqrt(90))).\nAnswer: 135*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 348335083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(68\/(-34)*(-3)\/6))\/4*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 48 + 22 + 12 + 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 + d**4 + 0*d**4)*(199727 - 36403 - 71800 - 40952).\nAnswer: -101144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*u**4 - 118*u?\nAnswer: 1728*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, 1 t, and 1 k when four letters picked without replacement from tqqnvtkntmtnqt.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b - 120 = 0. Let i = b - -45. Suppose -5*l - i = -10. Solve -2*v - 7 + l = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1178 + 1052 + 2649)*((-2 + 2 + 2*h)*(-2*h + 2*h + 2*h**4) - 2*h**5 + h**5 + 3*h**5 + 3*h**4 + 2*h**5 - 3*h**4).\nAnswer: 20184*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j - 55 - 455. Let b = -51 - j. Let m be (b - -22) + 3 - -2. Which is greater: m or 26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -827 + 2222. Suppose -4*p = -v - 6809. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 2, l: 1, r: 3, v: 1, s: 5}. Give prob of sequence snvg.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 24. Solve 0 = -3*j - 2*i + 6*i - 11, -4*j - p*i = -6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6*-1 - 0)*48\/144 - -15019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46614.\nAnswer: 2, 3, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 - 111*t**3 + 112*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence com when three letters picked without replacement from {c: 2, v: 1, o: 1, f: 1, m: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 717690?\nAnswer: 3588450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536703 plus 7.27873?\nAnswer: -1536695.72127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13525*k + 175977. What is c(13)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(9\/6 - 3). Let n = -13 - o. List the prime factors of (-525)\/n + (-6)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*t + 855 = -386*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5266\/6595 + 2\/1319. Sort -0.2, m, 6, -3, -5 in increasing order.\nAnswer: -5, -3, -0.2, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 1, v: 2, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 148 = 3*f - 110, 0 = f + 2*g - 84. What is the greatest common factor of 828 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001032 - 1121?\nAnswer: -1002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228742920 divided by 5362.\nAnswer: -42660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2178 divided by -3\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111021 - -202111200?\nAnswer: 202222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*j - 258, -4*f - 3*j + 80 = -264. Calculate the remainder when f is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 - 4*q - 2. Let d(u) = -5*u**2 - 6*u - 3. Let w(v) = 2*d(v) - 3*g(v). Let c(m) = 51*m. Calculate c(w(t)).\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084976596 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -781\/7 + 112. Which is the closest to 1\/2? (a) -2 (b) 1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -1.228. Let r = 1.028 - w. Let x(t) = -t**2 + 3*t + 4. Let s be x(4). Which is the nearest to 0.1? (a) s (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14a492 (base 11) to base 9\nAnswer: 385275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249323 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yphhevyeyeheeeyevy. Give prob of picking 3 e.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004707?\nAnswer: 11, 149, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 19 + 41 = 0. Let q(v) = -2*v**3 - 16*v**2 + 18*v - 10. Let y be q(-9). Let s = y + f. Solve -m = -2 + s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 190009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28613 - -28617. Let b(a) be the second derivative of 0*a**3 + 0 + a**d + 29*a - 21\/2*a**2. Differentiate b(o) with respect to o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*j = -3 - 8, 0 = 3*j - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4398 + -153959\/35. What is the common denominator of a and 43\/119?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 11*q + 78. What is a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*x - 14360, 0 = -2*v + 4*x - 8*x + 9592. Does 71 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - 0 - (-3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 20*n + 48 - 48.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159148, -318292, -477436, -636580?\n\"Answer: -159144*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*f - 157 = 894*f + 1685. Let p be 318\/(-136) - 1\/4. Is p <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -60*d + 76*d - 1104. Calculate the greatest common factor of d and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16970.\nAnswer: 2, 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 30 + -32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*g - 616 + 120. Calculate the remainder when 991 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5023204 + 1323?\nAnswer: -5021441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(12 + 24176\/(-2016)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 26. Let c be -8 + 1 - (1 - -5 - 9). Let t be f(c). Which is smaller: t or -73\/4?\nAnswer: -73\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20.7, -1\/3, -0.5, -1061?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:30 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*v = -3*w - 19, 4*v - 31 = 3*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*u - 23*u. Solve u = -p + 85 - 88 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)\/v**(-5)*v*v*v\/(v*(v**(-12)*v)\/v)*v*v**(9\/5) assuming v is positive.\nAnswer: v**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*w - 0*r - 21, 28 = 4*w - 4*r. Let z(d) = -6*d + 13. Let t(j) = 7*j - 14. Let y(u) = -5*t(u) - 6*z(u). Let l be y(w). Solve g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5553730 divided by 910.\nAnswer: -6103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.257*-0.4\nAnswer: -0.1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7323590 a multiple of 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93574379 to the power of 1\/2, to the nearest integer?\nAnswer: 9673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-5 + ((-8512)\/216)\/(-8)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 - a - 3*a + 0*a**2 + 7*a + 3. Let g be d(-3). Let f = 106 + g. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 52*u - 50*u - 4*k, -5*k - 28 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134669, 132982, 131291, 129596, 127897?\n\"Answer: -2*d**2 - 1681*d + 136352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 0.03 (c) 0.19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 1117474?\nAnswer: 1117473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17564 (base 8) in base 4?\nAnswer: 1331310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 33*b - 10. Let p(y) = -35*y + 12. Let d(q) = -6*o(q) - 5*p(q). Let v(j) = -4*j. What is d(v(n))?\nAnswer: 92*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000312522 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/12)\/((-3)\/63). Suppose -d = 10*b - 58. Solve -h = -2*q + 11, b*h + 2*q - 6 = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8860744.\nAnswer: 2, 1107593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -99, -349, -835, -1635?\n\"Answer: -13*a**3 - a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from bwwwbnwwwnbnwn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 921.4689m?\nAnswer: 921468900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**50*m*m\/(m*m**7)*m*m\/(m*m*m*m**(3\/7)*m*m) assuming m is positive.\nAnswer: m**(-548\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -183835300.\nAnswer: -183835299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*i*m**3 + 69*i*m**2 - i*t + 170*m**3*t + 2*m wrt t?\nAnswer: -i + 170*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/9*c**2 + 47\/9*c + 280\/9 = 0. Calculate c.\nAnswer: -40, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -16*w + 17*w. Suppose -w*i = 12*i. Suppose 2*h - 67 - 41 = i. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 271*h - 271*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.65 - 1457?\nAnswer: -1151.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 4, 67, -1\/2, 2\/23, -22 in ascending order.\nAnswer: -22, -1.2, -1\/2, 2\/23, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 71648.3 minutes?\nAnswer: 4298898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.79 - 1.21. Let i = 15.7 + a. What is the smallest value in 3, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290 * 3\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -29.67 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38999*i**2 + 2285*i**4 - 13980*i**4 - 33382*i**2 wrt i.\nAnswer: -280680*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 8. What is the remainder when p is divided by (-4)\/12 + (-130)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 0*m**4 - 3*m**4 + (2 - 6 + 3)*(-2*m**2 + 2*m**2 + 2*m**4) - m**3 + 9*m**4 - 3*m**4 - 5*m**4 + 3.\nAnswer: -3*m**4 - m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-4\/21)*z*z**(-4\/15)*z assuming z is positive.\nAnswer: z**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 - 7*r - 5. Determine v(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:59 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35825830?\nAnswer: 2, 5, 19, 157, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*p - 23. Suppose -p = -4*j, -t + 0*t + 99 = -4*j. Is t + 0\/1 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 8. Let u(z) = -2*z - 5. Let r(t) = -5*k(t) + 8*u(t). Let o(j) = 47*j - 42*j + 0 + 0. Calculate o(r(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-518)\/(-148)*(260\/35 + 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4193306 is divided by 419319?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 34 + 42 = 0. Let z(y) = -10*y + 15. Let n(f) = -9*f + 14. Let g(t) = 7*n(t) - 6*z(t). What is the lowest common multiple of g(s) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 4*c + 7. Let d be t(0). Suppose -d*j + 1260 = -2*j + 5*h, 0 = j + 2*h - 251. List the prime factors of j.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-14)\/1)\/(34\/(-119))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/((-2)\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1 - 5) + 29. Suppose s + 0*s - f = 0. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, -50, -14, -0.2, -2, -0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3 + 31*q + 1 + q + q. Let r be w(1). Suppose 5*u = 3*u - 3*t + r, 5*u - t - 52 = 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 p(q) = -2*q**2 + q. Let h = 268 + -272. Let z(o) = 2*o**2 - o. Let t be (-155)\/30 - 2\/(-12). Determine h*p(b) + t*z(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -42 - (-5 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + 5*(1*sqrt(832) + sqrt(832))*5 + 3 + (sqrt(832) + 0)*-1 + 3.\nAnswer: 7 + 392*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170118 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/3 (b) 55 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 58 - 26 + 23*v + 2*v - 7*v to n + s*v and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.79 - -38.653. What is j rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 6*h**2 - h + 3. Let k be r(6). Let d be 4 + k + 4\/(-6). Which is the closest to -0.1? (a) d (b) -2\/5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4 = -v + 5*z, 4*z = 0. Let k(m) = -15*m - 8. Let p(b) = 7*b + 4. Let r(l) = -4*k(l) - 9*p(l). What is the lowest common multiple of r(v) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-52)\/84 + (-4)\/(-12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 1. Let v(k) = 8*k - 4 + 16*k - 26*k + 2*k**2 + 3. What is -2*m(t) - v(t)?\nAnswer: -2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -12.7062576.\nAnswer: 38.1187728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 30. Let t be ((201 - 2)*-1)\/(1\/(-4)). Let s = t + -694. Calculate the highest common divisor of s and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*j = -4 + 7, 0 = -4*w + 4*j + 24. Let s(v) = v**2 - 3*v - 9. What is the remainder when s(10) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-35)*y**(-2\/27)*y**(-1))\/((y\/(y*y**(-2)*y*y))\/y*y**(3\/8)*y)**(-8) assuming y is positive.\nAnswer: y**(997\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7435291669.5574?\nAnswer: -7435291667.5574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*h - 2*h**3 + 0*h**3 + 80*h - 1 as l*h + q + u*h**2 + j*h**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 7*j - 10*j - 7 + 42. List the prime factors of d(-8).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 6256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 668373 divided by 2\nAnswer: 668373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16960554, 33921107, 50881660, 67842213?\nAnswer: 84802766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 19\/13, 71, 0?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1014.7 - -1063.8. Is s at most as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(4 - 5 + 2)*(-9 + 9 + 4*d - 5*d**3).\nAnswer: 15*d**3 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*s + 253*s = -10. Let i(n) = 9 + 59*n - 1 - 56*n - 3*n**s - n**3 - 3. What is i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*u + 3*s, -154*s + 8 = -158*s. Let p = -7 - -32. Calculate the highest common factor of u and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + 0*p)*(-9 - 3 + 19089*p - 19085*p)*(1 + 2 - 1)*(-2*p**2 + 2*p**2 + 2*p**2).\nAnswer: -32*p**4 + 96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5114, 20449, 46056, 81941, 128110, 184569, 251324, 328381?\n\"Answer: a**3 + 5130*a**2 - 62*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38254684 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*o + 56, 20201*o - 20200*o + 32 = 14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83329\/4, 0.1, -0.077?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.98 times 0.84149\nAnswer: -4.1906202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, 5, -55, 101, 1 in increasing order.\nAnswer: -55, 1, 2, 5, 15, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44961?\nAnswer: 3, 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 45*p - 22*p + 0*p**2 - 23*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(560)*-1 - sqrt(560))\/(sqrt(112) - (sqrt(112) + (sqrt(112) - sqrt(112)*1*-6))).\nAnswer: -5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 126. Let j be 2\/(-11) + n\/(-11). Let w be 6\/j*2\/(-9). Which is the nearest to w? (a) -5 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-126)\/(-54) - (-6)\/9) + 2039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -61*a. Let h(f) = -165*f**2 - 259*f + 14. Let o(s) = -55*s**2 - 74*s + 4. Let g(j) = 2*h(j) - 7*o(j). What is g(z(b))?\nAnswer: 204655*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9241298 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-80) + -1 - ((-1053)\/(-108) + -8)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 17*z + 18. Let a(k) = -1 - 2*k**2 - k**2 - 6*k + 4*k**2 - 5. What is 17*a(u) + 6*p(u)?\nAnswer: -u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 22*t = -28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -41*v**2 + 3*v + 3. Let c(u) = -452*u**2 + 32*u + 32. Give 3*c(j) - 32*s(j).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 269.388 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + d - 42. Give r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35020 divided by -5.\nAnswer: 7004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31028 is divided by 3402?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5048 - 11717.5048. Let v = -11773.47 - z. Let a = 57 + v. What is a rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 1)*(-3*n + 0*n + 5*n) + 2*n - 3*n + 0*n)*(7 + 2*n**3 - 1 + 0).\nAnswer: 2*n**4 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335 - -5?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -143*10344.23\nAnswer: -1479224.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4689259, 4689261, 4689263, 4689265, 4689267?\nAnswer: 4689269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 35\/22?\nAnswer: 35\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/17))**(-41)*(s*s\/s**(2\/9))**31)**(2\/27) assuming s is positive.\nAnswer: s**(18340\/4131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/12)\/(-80)*-2*20\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 675605 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2 + (-66)\/(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44659.9 and -0.12?\nAnswer: 44659.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z + z - 13*z + 3*z to g*z + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o\/o**(-2\/9)*o**5\/(o\/(o\/(o\/(o\/(o**8*o))*o*o))*o))**(2\/41) assuming o is positive.\nAnswer: o**(-248\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 30*k + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 1. Let f(m) = m**2 + 1196 - 1196. What is t(f(i))?\nAnswer: -6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.20823 nanometers?\nAnswer: 0.00000000720823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5630023307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67080 divided by -258?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r + 3707 + 2038 - 1053 = 0 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119881182?\nAnswer: 2, 3, 199, 100403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 470*z - 78958. Give l(115).\nAnswer: 1542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/28*14\/2. Let o be 8\/(-12) + (-40)\/(-6). Solve -3*y + o = d*h, 0*y + 6 = 5*h + 3*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1162193 - -767822. Suppose -z + 3*m = -u, 2*z - 62175 = m + 3797830. What is z rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 0*g**2 + g**2 - 1 + 2*g**3 - 2*g to n*g**2 + r*g + x*g**3 + f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -5*m**6\/3 + 3*m**2 - 9. Find the second derivative of i(v) wrt v.\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/2, 164, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 4486*w**2 - 55 + 4*w + 4490*w**2 as v + m*w**2 + d*w and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 3*q + 4. Suppose l = 6*l - 55. Calculate the least common multiple of l and c(4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4936 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 17*x + 108. What are the prime factors of k(26)?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*3168\/(-54)*96\/(-176)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327403617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127018 and 467798.\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086823139 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + 0.85. Which is greater: 3\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826334.\nAnswer: 2, 413167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -23845, 2, 4, -3 in descending order.\nAnswer: 4, 3, 2, 0, -3, -23845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfvf. Give prob of sequence fkf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63751137.\nAnswer: 3, 19, 1118441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = 69*f + 717 + 300 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -4\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**5\/60 - 11*i**4\/24 + 11*i**3\/6 - 115*i**2 - 151. Let p(n) be the second derivative of v(n). What is p(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*i = -11, 2*s - 61 = -2*s - i. Calculate the remainder when 26 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/41 in 1\/3, 2\/9, 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447079*a + 785232.\nAnswer: -447079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649685 is divided by 853.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461 + 490. Calculate the common denominator of q and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3194 >= -3026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1121445 (base 6) to base 15\nAnswer: 12028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**2 + 7*l - 9. Let p be d(5). Let q = -183 - p. What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*98\/(-21). Suppose 212 = -3*m + k*m. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1444*u + 1114*u - 2894*u = 6384 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4 - 176*i**2 + 13 + 6*i - i**3 + 171*i**2. Determine j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 14 = 2*z - 5*v, 12 = 3*z - 6*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167370, -334628, -501886, -669144, -836402?\nAnswer: -1003660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 12, 0, 20, -4 in descending order.\nAnswer: 20, 12, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4*o - 2 = 0, -4*p - o + 1089 = 544 + 540 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0, 1\/10, -4, 165638?\nAnswer: 165638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) + 9\/(-6). Let d = 5 - l. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000869 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267035*p**3 + 2*p**2 - p - 144137?\nAnswer: -1602210*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 divided by 1219?\nAnswer: -346\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7198632 divided by 648.\nAnswer: 11109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4009.\nAnswer: 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 12. Suppose p - 4 - s = -5*k, k = -3*p - 13. What is the tens digit of k\/(-3)*(-69)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28920, -2, -0.5, 12\/23, -3, 0 in decreasing order.\nAnswer: 12\/23, 0, -0.5, -2, -3, -28920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*m + 2342*m - 5886 - 45739 = -22*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 3. Suppose 0*m + 5*m = 140. Calculate the highest common divisor of l and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-2)\/(-10))\/(14\/(-35)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -65. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411124375 a multiple of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.04140514.\nAnswer: 0.12421542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/23 - 14*w**3\/23 - 94*w**2\/23 + 30*w\/23 + 396\/23 = 0.\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (14 - 20) - (0 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0.5, 2\/7 in descending order.\nAnswer: 3, 1, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-902)\/6)\/((-53)\/159)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 10*y**3 + 5*y**3)*(-23 + 23 + 17*y).\nAnswer: -51*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14882189, 29764391, 44646593, 59528795, 74410997, 89293199?\n\"Answer: 14882202*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40044 and 66243.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-3)\/5 - 8\/(-20). Suppose -65 = -c*y - 3*s, -y + 2 = -3*s - 3. Let p = y - -34. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 522 + -497. Solve -y + j = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 3*u + 3*u + 6*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(12\/(-6))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 8*w + 36. Let m(h) = -h + 9*h + w*h - 9*h. Let l(d) = -3*d. What is m(l(t))?\nAnswer: -51*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 - 7 = 0. Let p(t) = -2*t + t**3 - n*t**2 + 10 - 13 + t. Determine p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 267*a = -264*a - 21, -5 = -a. Solve r = m*q - 12, 21*r - 24*r = -3*q + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 16 = -8*u + 5*z, -4*u - 16 = -3*z. Which is the third biggest value? (a) 1\/8 (b) 1\/778 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49.958 + 0.042. Let c = b + -50.1. Sort -0.4, 3, c, -5 in descending order.\nAnswer: 3, c, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l - 1548. Let z be k(-54). Which is bigger: z or -680?\nAnswer: -680","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 + 231350201?\nAnswer: 231350199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3824668, 3824659, 3824652, 3824647?\nAnswer: 3824644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -15.613893\nAnswer: -78.069465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-11)\/88*(29 + (-47845)\/1645)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -734*c - 14684. Determine d(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6066875 divided by 9.\nAnswer: -6066875\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**24)**(-32)*(m**9\/m)**(-21\/5) assuming m is positive.\nAnswer: m**(-4008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-144)\/450)\/4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 + 0)*(-1 + 0 + 0) + (3 - 3 + 2)*(4 - 1 - 1))*(-2 + 2*v - v + v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*f + 56*f + 57*f - 125*f.\nAnswer: 47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/12)\/((-2)\/(-9)). Let s = 55 + -56. Let q = -0.3 + 6.3. Put s, z, q in increasing order.\nAnswer: z, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.033. Let t = 3.033 - r. Which is the second biggest value? (a) 0.5 (b) t (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.671 - -0.4.\nAnswer: -1.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 190\/4*24\/20. Let i = -52 + o. Suppose -i*m = 4*m - 900. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 722 = 11*h - 5*p, -8*p + 7*p - 1 + 5 = 0 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 1, a: 12, u: 4}. Give prob of sequence ud.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 461091 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/15)\/(l*l*l*l*l**(13\/5)*l)*l**(-2\/55)*l**(2\/135) assuming l is positive.\nAnswer: l**(-11219\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 63*k + 42. Determine t(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19664 is divided by 6550.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7501368 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/(-45) - (-472)\/6 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3958173 divided by 1319391\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*n - 1451 = -8633 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k*m**4 - 12*k + 2*m**4 - 2*m**2 wrt m.\nAnswer: 384*k*m + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 33*j + 79. Let g be k(-30). Which is the nearest to -5? (a) 0.3 (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2676*y - 15625. Calculate v(-6).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*c - 15, -3077*c + 3075*c - 6 - 1 = v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3560 - -7808. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(0 + 1) + (-1862)\/(-441)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 522751*x - 6273005. What is m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44340*v**2 - 16262 with respect to v.\nAnswer: 88680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294414 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/5 + 153364*u**2\/5 - 45527168*u\/5 + 3372252224\/5 = 0?\nAnswer: -76978, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -72, 43, 2, -9, 1, 0.005, 5?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*c = 444, -2*c - 1340 = 11*l - 14*l. Let t = l + -395. What is the remainder when t is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*k - 5. Suppose k*r = -g - 7, -3*g + 0*g = 3. Let x be (-12)\/r + (3 - 4). Let h(f) = -f**3 + 4*f**2 + 3*f + 7. Calculate h(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50233324, -100466651, -150699978, -200933305, -251166632, -301399959?\nAnswer: -351633286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c = -65*c - 27*c - 1240 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*4*(-3)\/(-6). Let w = z + 7. Calculate the least common multiple of 5 + (-7)\/(14\/(-6)) and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**3 - 321*n**2 + 1016*n**2 - 1390 + 1597*n - 1491*n**2 + 1178*n - 584*n**2 = 0. What is n?\nAnswer: -278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99)*-1 - sqrt(99) - 4*sqrt(99)*4)\/(sqrt(9)*2*-5 + 4*sqrt(441) + sqrt(441) + sqrt(9)))**2.\nAnswer: 2475\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t**4\/7 + 41856*t**3\/7 + 5970472*t**2\/7 + 22710144*t\/7 - 2019968\/7 = 0.\nAnswer: -734, -172, -4, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 - 4*v + 55. Let b be s(6). Let q = b + 170. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 201354 = -48131. Suppose 42*m = 285509 + 3292765. Let j = m - t. Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33634630189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -21*h - 2. Let z be t(-6). Suppose -77*y + 76*y + z = 0. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(20\/(-8)) + 632. Suppose -20 + p = 2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let m(u) = 220955*u**2. Calculate n(m(z)).\nAnswer: 883820*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27161 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/((-26730)\/258) - 3\/(-45)*1. What is the closest to 2\/7 in t, -21, -2\/15, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 9*h**2 + 204*h - 2*h**2.\nAnswer: h**2 + 204*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 217*x**2 + 32*x - 35. What is the thousands digit of a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*-4*-2*(3 + sqrt(847)*1 + (sqrt(847)*-4 + sqrt(847))**2*-6).\nAnswer: -2195284 + 528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6554136 (base 7) in base 8?\nAnswer: 3041066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28378 smaller than 28379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1567125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:26 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43766, -39843, -35918, -31991?\n\"Answer: i**2 + 3920*i - 47687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5509 - 5516. Put -5, -2, m, -1 in increasing order.\nAnswer: m, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3 - 2*j**2 + j + 0 - 8*j + 6*j. Let k(p) = -9*p**2 - 4*p - 13. Calculate -26*c(u) + 6*k(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 419307163.\nAnswer: 419307158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = o + 5*f + 7, 0 = -5*f - 15. Let g(n) = 12*n + 61. Let q be g(o). Let p = -94 - q. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/509?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -0.082372, -1, 0.2 in ascending order.\nAnswer: -5, -2, -1, -0.082372, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 84*t**2 - 1. Let h(k) = -169*k**2 + 1. Calculate -3*h(z) - 5*l(z).\nAnswer: 87*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {p: 1, k: 3, w: 1, l: 2, i: 2, m: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {z: 4, e: 7, g: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvrvvvvvvvvrvvvvv. Give prob of sequence vrr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -584.2 + 584.4. What is the third smallest value in u, -0.5, -34?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhcgcuggfghuh. Give prob of picking 1 u, 1 h, and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1190, -1201, -1220, -1247, -1282?\n\"Answer: -4*t**2 + t - 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, 34, -1\/6 in increasing order.\nAnswer: -1\/6, 0.3, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -542, -608, -684, -776, -890?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -221872.8991 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/7 + 3643*c\/7 - 721820\/7 = 0. Calculate c.\nAnswer: 748\/3, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnwnwwnwn?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2712204?\nAnswer: 2, 3, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -675?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 831031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*z + 85*r, -44*z + 42*z + r + 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:23 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171)*-4*6)\/((sqrt(81) - (sqrt(81) + 4*(sqrt(81) + sqrt(81) + 1*sqrt(81) - sqrt(81))))\/sqrt(9)))**2 + 0.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 + i + 7. Suppose 4*z - z = 0. Let h be n(z). Suppose -3*w**2 + 5*w**3 - w**4 - h*w**3 + 2*w**2 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3345 and 1784?\nAnswer: 26760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/5 + 60951*y**3\/5 - 12189*y**2 - 60951*y\/5 + 60948\/5 = 0 for y.\nAnswer: -1, 1, 20316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 9*j - 5. Let h be s(-8). Sort 0.4, h, 4, 5 in ascending order.\nAnswer: 0.4, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2. Let r(b) be the third derivative of -53*b**4\/24 + 3*b**2 + 34. What is r(g(f))?\nAnswer: 159*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, a: 4}. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (-12)\/30. Let g be (2 - 5 - -98) + j. Let c = -52 + g. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m + 9*m - 6*m)*(-5*m + m + 2*m) to the form x*m + c*m**2 + f and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -29632 + 29632 + 7402*v**2 + 46*v**2 in the form l + j*v + c*v**2 and give c.\nAnswer: 7448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*d - d + 40 = 0, -70 = -5*u + 5*d. Suppose 5*y + 68 = u*y. Solve 4*t + c = y, 2*t = 3*c + 2*c - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1259733*q - 1259742. Calculate m(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b - 5*b + 5*b - 15 + 0*b - 6*b**2 + 0*b**2 in the form n*b**2 + j*b + d and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-40)\/g)\/g*g**(-12)*(((g*g**(5\/4))\/g)\/g)**(-1\/21) assuming g is positive.\nAnswer: g**(-4537\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20) + 372\/(-30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 958895 and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -1\/2, 2\/7, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/120 + 17*v**5\/60 - 17*v**4\/24 + 26*v**3\/3 - 10*v**2. Is g(16) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 368506 - 4763106\/13. Let l be (-4)\/(-6) - (-6331)\/3. Let t = l - u. Calculate the common denominator of 17\/10 and t.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000044729 rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-86 - 17 - 167)*(3 - 3 - 2*a).\nAnswer: 540*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-6 - 4 - -4) + 17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000232 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 303*s.\nAnswer: -s*(s - 303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 5 (b) -2\/3 (c) -1 (d) -0.18 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_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: Which is the second biggest value? (a) 0.5 (b) -0.12 (c) 2\/13 (d) 19 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.32039 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92344 rounded to 2 decimal places?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.089 + -38.089. Let z = 38.0000103 + w. What is z rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -463 + 6?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**2 - 5*v + 6. Let z be u(2). Let p(k) = 2*k**2 - 31*k + 31. What is the remainder when p(16) is divided by 7\/z - (-62)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678367 is divided by 839167.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6*b = -3*b + 11, 0 = -4*v - 5*b - 21. Let y(z) = v + 2 - 2 - 3*z**2 - 2*z - 4*z**3 + 5*z**2. Calculate y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132594*u**2 + 100*u + 227 wrt u.\nAnswer: -265188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1285, -4685, -10343, -18253, -28409?\n\"Answer: g**3 - 1135*g**2 - 2*g - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207768168302 plus -2907?\nAnswer: 207768165395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*o**3 + 16*o - o + 146*o**3 as i*o**3 + v*o**2 + s + t*o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 2*s**4 + 2*s**4)*(62*s - 273*s - 20*s + (-1 + 1 + 2*s)*(2 + 1 - 2) + 0*s + s + 7*s).\nAnswer: -663*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 3*b. Let s be h(-5). Let f(j) = j + 3. Let x be f(0). Suppose -s = -5*d, -2*g - 2*d + x = -3*d. Sort g, 0, 5 in decreasing order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565589112 divided by 6.\nAnswer: 94264852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 - 9*y**5 + 5*y**3 - 412*y**2 + 28 wrt y?\nAnswer: 240*y**3 - 540*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*42248\/96*-9. Suppose -2*k = -0*k + p + y, -3*k = -2*p + 23754. What is k rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3648 = 5*n + 7*n. Round n to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234410 * -0.04\nAnswer: 9376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15878657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 283.8 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4681397, -9362794, -14044191?\n\"Answer: -4681397*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -249 in 18\/29, 4, 4\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 37*c - 195. Let o be q(-30). Suppose -o + 100 = 17*z. Suppose -5\/7*y**3 + 4\/7*y**4 + 0 + 0*y + 2\/7*y**2 - 1\/7*y**z = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63933122?\nAnswer: 2, 11, 769, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -14\/5 (c) 543.2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 7*q + 39\/2.\nAnswer: (q + 3)*(q + 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210 - -1030510?\nAnswer: 1030300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -24. Let o(c) = c**3 - 4*c**2 + c - 2. Let b be o(j). Suppose 0 = -b*x + x + 83. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3*y. Let q be ((-120)\/(-9))\/(0 - (-4)\/6). Let h be 15\/2*(22\/q)\/11. Which is the biggest value? (a) y (b) h (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02240293 + -0.0224. What is x rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8354.67 to the nearest 10.\nAnswer: 8350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/12019 and -1\/11781?\nAnswer: 1189881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -5 + -1 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:02 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57502712 is divided by 13051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3520*o + 8024 + 20215 = -10481 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - 4410\/63 - 7\/(-13)*-15)\/(-2).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 446 in 0.3, 58, 6, -4\/3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f**2 - 3*f + 1. Let h be r(2). Let x = h - -10. Calculate the remainder when 17\/((-4)\/(-4 - 0)) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3379 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 43*p - 69. List the prime factors of i(15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -101*d + 97*d - 5*w, -2*w = -d - 8. Let v(k) = 7*k + 38. Let y(i) = -i + 1. Give d*y(p) + v(p).\nAnswer: p + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*u + 25 = 0, -531*u + 525*u + 5 = 3*x - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7831\/14785 or 1?\nAnswer: 7831\/14785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4506 divided by -1\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3017 + 0.409.\nAnswer: -3016.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -5584771536.2.\nAnswer: 5584771545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 59. Calculate the remainder when 55 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -53, 3\/2, -0.0287, 2?\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 5:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2240\/700*(-75)\/10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -5*n**4\/12 - 3326*n. Let k(b) = b + 17. Let l be (34\/6)\/(3\/(-9)). Let h(u) = -6. Let z(a) = l*h(a) - 6*k(a). Give z(v(s)).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1894*c + 3671 = 52915 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.85 - 7.85. What is the closest to -2\/3 in -2\/11, -3, x, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 0.06. Let y = -0.04 + n. Let l = -0.16000002 + y. Round l to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 26\/3, 0.1, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:00 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.858227ns in days?\nAnswer: 0.0000000000002645628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 8*f**3\/3 - f**2\/2 + 22*f. Suppose -2*w + 4 = 4*k, k = 148*w - 146*w - 14. Determine p(k).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2391*i**4\/4 + 269*i**3\/3 + i**2 + i - 4106. What is the third derivative of l(y) wrt y?\nAnswer: -14346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/623003?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 0 + 2 + 3 + 12*y**2 - 2*y + 3. What are the prime factors of m(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176268722 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18 = -8*f. Let x be -30 - (f + 6 - 1). Is x at most as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 229*v**3 + 225*v**3 - 472*v**3 + (-2*v**2 - 3*v + 3*v)*(v + 2*v - 2*v) - v**3 - 2*v**3 + v**3 + 5*v**3 - 2*v**3 - 2*v**3.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -20*u - 21. Let t(a) = -11*a - 10. Let c = -105 + 113. Let j = c - 14. Let b(i) = j*d(i) + 11*t(i). Give b(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, x: 1, s: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 6:28 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 113. Let y(r) be the second derivative of 0*r**j + 1\/3*r**4 - 2*r - 2*r**2 + 0. What is the first derivative of y(f) wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-16.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, z: 11}. What is prob of sequence zez?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7764 divided by 3882.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + -430143?\nAnswer: -424220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/8 of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532944 and 2235404.\nAnswer: 80474544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281 or -2\/11673?\nAnswer: -2\/11673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97010, -94368, -89970, -83810, -75882, -66180, -54698?\n\"Answer: j**3 + 872*j**2 + 19*j - 97902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 18 = -12*b. Suppose -j - 4*k - 3 = 0, 2*j + b*k - 49 = 8*k. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23007927 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/28314 and -70\/6903.\nAnswer: 1670526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902506 and 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 13*b + 1. Let m be v(-6). Suppose m*j + 15 = 127. Suppose 2*l - 4*a = 6 + 10, 4*a + j = 0. Solve l*x + 5 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 26*n + 125. Let b be g(19). Let h be 1362\/42 - b\/14. Calculate the greatest common factor of 759 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 37*z**2 - 20*z + 106. What is the remainder when y(18) is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1440*l - 1. Let g be v(-1). Let m = g + -5837\/4. Find the common denominator of m and -2 - -4 - 8 - 252\/(-112).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 19. Let i = 10 - 7. Let t be 2 - (i - 2) - -7. What is the units digit of b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 5:31 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 28*l**2 + 5*l + 272. Is d(18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 10*j - 4. Let s be -5 - -5 - 6\/3. Let x(v) = -6*v**2 + 51*v + 20. Let h(m) = s*x(m) - 11*d(m). Give h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3861282478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/24709?\nAnswer: 1\/24709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.06 - -0.06. Let z = 11150 + -11150. Which is the nearest to z? (a) -1\/11 (b) k (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1227*z**2 + 8 - 1238*z**2 + 2542*z**2 - 1 as b + r*z + t*z**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 3. Let s(m) = 180 + 7*m**2 - 52 - 120 + 6*m**2. Calculate s(t(d)).\nAnswer: 208*d**2 - 312*d + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 1. Let i(d) = -d - 10. Let c be i(-9). Determine w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/52 and -101\/9408.\nAnswer: 122304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 14*x - 622. Let f be c(20). Which is bigger: f or -500?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**2 + z + 11. Let u(h) = -3. Calculate o(n) + 3*u(n).\nAnswer: 9*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(3))**2 + -4.\nAnswer: -10*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*d - 18, -3*b - d = -5*d + 3. Let z(k) = k**3 - 2*k**2 + 4. Calculate z(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.81\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84815, -169624, -254431, -339236, -424039, -508840, -593639?\n\"Answer: u**2 - 84812*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a**2 + 2*a)*(-2*a**2 - a**2 + a**2) - 1 + 1 - 2*a**4 - a**4 - a + a - 11*a**4 - 40*a**4 + 94*a**4.\nAnswer: 38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 27a74?\nAnswer: 27a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, -4, 550882 in descending order.\nAnswer: 550882, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, y: 1, v: 5}. What is prob of sequence vys?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5 = -o, -1 = 49*o - 51*o + 3*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22084, 44018, 65808, 87454?\nAnswer: 108956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3380\/99 + 378\/11. Which is the closest to 0.2? (a) j (b) 10\/7 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324968.\nAnswer: 2, 290621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v + 78. Let d be m(-9). Let u be 1*(-1 + -3 + 5). Suppose -u = -d*j - 7. Let h(n) = -9*n + 1. Give h(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10831\/6 + 1824. Let g = 1 + 1. Find the common denominator of g\/4 - (-46)\/10 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 68, 103, 138, 173?\n\"Answer: 35*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5357*m**7\/105 - 831*m**4\/4 + 3113*m**2. Find the second derivative of p(z) wrt z.\nAnswer: 128568*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 453\nAnswer: -90.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 + 3*o**5 - 2*o**5 + (0*o + 0*o + 2*o)*(0*o**3 - o**4 + 0*o**3) + (-2*o + 2*o + 2*o)*(-125*o + 22*o**4 + o**3 + 125*o).\nAnswer: 40*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 10. Let b be p(16). Let g(c) = c + 1. Let s(u) = u + 2. Let k(j) = 4*g(j) - 6*s(j). Calculate the remainder when 10 is divided by k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54*18\/900*10. What is the nearest to -1 in 1, 11, 2, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let r be (22\/(-3))\/((-2)\/(-3)). Let i(x) = x + 8. Let g be i(r). Sort 5, g, a in descending order.\nAnswer: 5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {h: 3, t: 6, a: 6, m: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10118 = -b - d, 2*b - 6132 = 3*d + 14129. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 4.9. Let v(s) = s**2 - 96*s - 96. Let o be v(-1). What is the second biggest value in h, 7, -3, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4544, -30, 3, 4, -4, 0.1, 0.2 in ascending order.\nAnswer: -30, -4, 0.1, 0.2, 3, 4, 4544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/84 and 23\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1572 = -180. Let l = 5 - 3. Suppose l*w = -0*w - 4*p - g, -1274 = 3*w - 4*p. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**9\/12096 + f**8\/2016 - f**7\/252 - f**6\/18 + 2*f**5\/3 + 28*f**2. Let d(w) be the third derivative of i(w). Factor d(h).\nAnswer: 5*(h - 2)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34797.\nAnswer: 3, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 + 172.42. What is u rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/25*(3600\/(-27))\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d - 15 = 0. Solve -6 + 0 = -2*t, 4*t = d*r + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o + 33. Let w = -653 - -644. Calculate z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + sqrt(75) + sqrt(75)*1*5 + sqrt(75))*-4 + 1)**2.\nAnswer: -320*sqrt(3) + 76801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -3)*(-10)\/(-20). Let l(t) = 2*t**2 - t - 1. Let w be l(-1). Suppose 5*f + 3*h = 0, -4*f - 25 = f - 2*h. Put p, f, w in ascending order.\nAnswer: f, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1247828*t. Let g(o) = 4*o. Calculate p(g(f)).\nAnswer: 4991312*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 2021.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 4030 = -11*h. Is (-1318)\/5*h\/52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**7*m))\/m*(m\/(m\/(m*m**(2\/47))))\/m*m**5\/(m\/((m**(-2\/19)\/m)\/m)) assuming m is positive.\nAnswer: m**(-5414\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - z + 6 + 2*z**3 + 3*z**4 - 7 to c*z**2 + a*z**4 + i + n*z**3 + s*z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48302386 is divided by 88?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1467303*0.04\nAnswer: -0.005869212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 415476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccocuucouuuooc. What is prob of picking 3 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5 - 63*q**4 - 141*q**3 + 63*q**2 + 138*q = 0. What is q?\nAnswer: -2, -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583347?\nAnswer: 3, 337, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*d**3*t**2*y**2 + 13*d**3*t*y - 559*d**3*y**3 - 6*d*t**2*y**6 + 10*t**2*y**2 + 2*y**2 wrt y?\nAnswer: -3354*d**3 - 720*d*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65295 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0192 - -341.0192. Let r = d + -341.6645. Let q = r - -0.69. Round q to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(88)*-2 - sqrt(88)) + sqrt(88) + -6*(sqrt(88) - 2*sqrt(88)))\/((sqrt(128) - -2*sqrt(128) - sqrt(8)) + (sqrt(88)*-2)\/sqrt(11)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 7, x: 1, l: 4, d: 2}. Give prob of picking 2 f.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*n = 3 - 77, 0 = 3*x - 2*n - 40. Let l = x - 11. What is the second derivative of -2*v - 19*v**3 - 23*v**l - 8*v - 18*v wrt v?\nAnswer: -252*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a*c**3*l + 2*a*l - 3*a - 23*c**3 wrt l?\nAnswer: -4*a*c**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 74*f - 3773. What is y(-109)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvn when three letters picked without replacement from {v: 2, n: 2, e: 7}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 374*j - 5868. What is z(15)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111101202 - -12?\nAnswer: -111101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72140063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2. Let z(m) be the second derivative of m**3\/6 - 6*m. Give z(w(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 13*p**2 + 12*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -8 - (-5 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5902 is divided by 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 160147 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (7 + -4 + -685) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*y + 4*y, 4*w - 48 = 4*y. Let n be ((-45)\/27)\/(3\/y). Solve n*m + 8 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o = k + 76*o - 1188, 3*k - 3563 = 4*o. Does 41 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 j when four letters picked without replacement from ajxjjioj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3807 or -3794?\nAnswer: -3807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {r: 11, b: 7, y: 1}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14106 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5310 divided by 2655.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgc when three letters picked without replacement from cjcgfffcffhfffffx.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -82, -66, -50, -34, -18, -2?\n\"Answer: 16*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.93 + -0.07. Suppose -5*k - 15 = 0, -3*f - f = -5*k - 711. Let d = 176 - f. What is the nearest to d in t, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpxpwixiiixppm. Give prob of sequence wmmx.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354939 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -14232412043?\nAnswer: -14232412034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110834523391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o**3 - o**3 - 5*o**3)*(0*o + o - 2*o)*(-15 - 134 + 21) to the form l*o**3 + b*o**2 + z + s*o + h*o**4 and give h.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 99, 206, 345, 510, 695, 894, 1101?\n\"Answer: -t**3 + 25*t**2 + t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**2\/9 - 1359*b - 1530.\nAnswer: (b - 1530)*(8*b + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62479 is divided by 12494.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -17*r - 325. Let s(u) = 17*u + 369. Let z(x) = -5*c(x) - 4*s(x). Determine z(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 - 7*v**3\/6 - 11*v**2\/2 + 2*v - 38. Calculate d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(5*(4 + 81\/(-18)))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1253, -1225, -1197, -1169, -1141, -1113?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -88*q**3 + 266*q**2 - q - 9. Calculate h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/z**(2\/11))\/z)\/z**(-5\/11))\/(z*z**(7\/3))**(-7\/11) assuming z is positive.\nAnswer: z**(145\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 743579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35816077, -35816079, -35816081, -35816083, -35816085, -35816087?\n\"Answer: -2*x - 35816075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i - 19 - 41 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)\/(o**(2\/23)*o))\/(o**19*o*o)**(-34) assuming o is positive.\nAnswer: o**(147527\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**3\/b)\/b)))**(-12)*(b*b\/(b**(-1)*b)*b)\/b*b\/b**(-4\/7) assuming b is positive.\nAnswer: b**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*80\/168*111\/5180*5.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/773 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 62387846?\nAnswer: -62387844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -5.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, m: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 = 33. Suppose o*n - 3*n = 0. Suppose -s - 4*q + 2 = n, 3*s + 13 = 5*s - q. What is the lowest common multiple of 3 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 17 = -4*k + 7, -5*b - 10 = -3*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651106?\nAnswer: 2, 43, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*r**2 + 13*r + 145*r**2 + 9*r - 22*r + 129*r**2 + 110*r**2.\nAnswer: 140*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -49\/1092897?\nAnswer: -49\/1092897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5650 + -203506302\nAnswer: -203511952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddd when four letters picked without replacement from ddudduudddd?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*o + 34, 49*o - 4*t = 43*o + 74 - 14 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 3}. What is prob of sequence omoo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 755, 732, 693, 638, 567, 480?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d + 5. Let n = 40 - 33. Let z be y(n). Suppose 274 + z = 4*v. What is the remainder when v is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 less than 11062\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 3 = 20*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36993558841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1485146 and 1.62?\nAnswer: 1485144.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1504 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*d - 5*n, 2 = 4*n - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 * 106.\nAnswer: 2.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -23*d - 243. Let l(k) = 2*k**3 - 14*k**2 + 18*k + 13. Let i be l(4). Calculate x(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -3*r**5\/20 - r**4\/4 + r**3\/2 - 5*r**2\/2 + 7*r. Is d(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*t + 86 = 140*t + 159*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10+18\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*l + 12294 - 16222 = 18206 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + 437714. Let x(n) = n. Determine x(h(p)).\nAnswer: 5*p**2 + 437714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-2)\/(-4760)*(-896)\/224\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -1353600?\nAnswer: 1353593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67, -81, -95?\n\"Answer: -14*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6913\/948 - 10\/237. Find the common denominator of y and -95\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18332, 38550, 58770, 78992?\nAnswer: 99216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 12, q: 1}. What is prob of picking 3 l and 1 c?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -1 - -1) + (47196\/27)\/46. Solve -3*q + 14 = v, 30*v - r*v = 5*q - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 22. Suppose -4*p = -y*p - u - 12, 9 = -3*p - 3*u. Find the common denominator of 107\/22 and -3 + (-118)\/8 + p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 25 (b) -1\/19 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 11:58 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2736 and 17101368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -87. Calculate the remainder when g is divided by 25 - -1 - (0\/8)\/5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173 or 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -g - 4*g - 82, 3*o = -5*g - 61. Let v = g - -11. Let k = 7 - v. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from kkywwwkkjsjkj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 544364 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w - 93*w = 240. Is w != -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 318*w - 2055. Give i(88).\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a = -4*q + 44, -34 = -3*q + a. Let d(c) = 65*c - 1 - 8*c + q*c + 5. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296287433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -40. Sort 2, -70, -4, f in decreasing order.\nAnswer: 2, f, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a gram in milligrams?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w. Let q(b) = -b**3 + 3*b**2 + 13*b - 1. Determine q(o) - 3*x(o).\nAnswer: -o**3 + 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 12*o**2 + 15*o + 18. Let g be j(-13). Let m = g - -16\/3. Which is bigger: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 191*x - 64*x - 21 as v*x + t and give v.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32749 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.05 (b) -151\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -3*k**5\/20 + k**4\/3 - k**3\/3 + 2*k**2 + 3*k. Let c(q) = 5*q**3 - 7*q**2 + 4*q - 7. Calculate -4*c(m) - 7*y(m).\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -6*k - 1\/3*k**3 + 6 + 3*k**2. What is s(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 4. Let z = p - -6. Solve x = -z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:18 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*m**3 - 5 + m + 278*m**4 - 280*m**4 + 4 to c*m**2 + g*m + s + x*m**4 + i*m**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66786475 + 375.\nAnswer: -66786100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2192\nAnswer: 5\/2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483 times 0.086?\nAnswer: -127.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(1088) + 3 + (sqrt(1088) - (sqrt(1088) + -3) - sqrt(1088)))**2)*2.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5104554 - -2?\nAnswer: 5104556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5659, -5377, -4907, -4249, -3403, -2369, -1147?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 - 546362592*b\/11 - 37314010242119808\/11.\nAnswer: -2*(b + 136590648)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = 7. Let r(y) = -6*y + 5. Let j(x) = 1. Let v(m) = m. Let p be 1\/(6\/(-28) - 22\/77). Let k(i) = p*v(i) + 2*j(i). Calculate g*r(q) + 8*k(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a minute in milliseconds?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:09 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 419 - 16 = 0. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/47 + -67\/423. Let g = -39937\/5 - -7987. Sort -3, v, g, -1.5 in decreasing order.\nAnswer: v, g, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16 + (-1774782)\/36688?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-84))\/((-136)\/(99008\/(-819)))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6336 and 60?\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 2563*s - 125295. Calculate b(48).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.43593 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - k - 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohudouowwudho. Give prob of picking 1 w and 1 o.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*27\/36 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318053955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -3, -150350, 2 in ascending order.\nAnswer: -150350, -3, -2, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*t + 19. Sort -1, 0, -3, t.\nAnswer: -3, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3217\/4 - -3219\/4. Determine n, given that -1\/4*n**5 - 1\/2*n**4 - 7\/4*n + 2*n**3 - j*n**2 + 1 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 119\/30*y**5 + 8*y**2 - 1\/6*y**3 + 0*y + 0*y**4 + 0. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10112 in -0.05, -225\/8, 2?\nAnswer: -225\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4\/(-4) - 5\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -32. What is the nearest to 0.1 in r, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5040, -5043, -5046?\n\"Answer: -3*z - 5037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4\/5 - 1472*f**3\/5 - 74848*f**2\/5 + 317184*f\/5 - 323136\/5 = 0 for f.\nAnswer: -306, -66, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*m + 18, 3*w + 8*m - 3*m + 4 = 0. Suppose 16 - 12 = -w*g. What is the tens digit of 12\/8*(-64)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33132932 divided by -658.\nAnswer: 50354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 19*u**2 + 2*u + 21. Calculate the remainder when q(19) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2356 and 206?\nAnswer: 242668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*d - 4*d - 3*v, 32 = d - v. Suppose -u + d = 2*u + 3*a, -13 = -2*u - 3*a. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*i + 10. Suppose 5*o = -u, -2*o + 0*o = -5*u - 135. Let x = i - u. Solve -t - 10 = 4*t + v, -5*t + x = -5*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -209088*h**5\/7 - 666864*h**4 + 3311085*h**3\/7 + 1578125*h**2\/7 - 12097*h\/7 + 23\/7 = 0.\nAnswer: -23, -1\/3, 1\/264, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.444207 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 170*o + 51. Let w(x) = 17*x + 5. Give -5*f(b) + 51*w(b).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33055 - 33025. Solve 48 = 36*w - c*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -2\/5, 7\/2 in descending order.\nAnswer: 7\/2, -2\/5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12432 and -161\/330.\nAnswer: 683760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 - 502*w**2 - 3858*w + 573. Give j(-92).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5*98\/(-1715))\/(4\/7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 21*w**2 + 32 - 8*w**2)*(-4*w**3 + 2*w**3 + 0*w**3).\nAnswer: -26*w**5 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1331) - sqrt(11)) + -1*sqrt(99) + sqrt(99))**2.\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325956*g**3 - 249733*g**3 + 11633*g**3 - 467557*g**3 + 207646*g**3.\nAnswer: -823967*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 1324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3543, 14150, 31843, 56628, 88511?\n\"Answer: r**3 + 3537*r**2 - 11*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-22) + (-114)\/72*-3\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*-1 - sqrt(91) - sqrt(91))*1)\/(sqrt(252)*-1 + sqrt(7))*5)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 114.\nAnswer: 3762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -3006.\nAnswer: 3006.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g + 2. Let y(d) be the first derivative of -d**5\/30 - d**4\/24 - 2*d**3 + 1. Let x(k) be the third derivative of y(k). Calculate -6*f(z) - 10*x(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + -1 + 2*sqrt(2299) + sqrt(2299) + 1 + 0 + sqrt(2299))**2.\nAnswer: -88*sqrt(19) + 36787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 7, b: 3, p: 1, d: 3, n: 2}. What is prob of picking 1 n, 1 p, and 1 b?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, -11, 0.25, 4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 - -0.6. Let b = s - 5. Is 9 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4, 89*c - 90*c + 1280 = 2*i. Is c a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 23. Let b(v) = 3*v**2 + 3*v**3 + 0*v**3 + 2 - 4*v**3 + v + 0*v**2. What is the units digit of b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/2 + 214953*f**2\/2 - 1922132940*f - 109911046518 = 0. What is f?\nAnswer: -57, 35854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -743, -1116, -1489, -1862, -2235?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 - -224. What is the third derivative of -9*d**2 + 181 - 181 + z*d**5 + 67*d**2 wrt d?\nAnswer: 5820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -8. Suppose -f = f + m. Let g(j) = -3*j + 18. What are the prime factors of g(f)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 19*d - 1)*(-5*d + 12 - 12)*(2 - 6 + 10) to the form t + x*d + m*d**2 and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3118.9 times -1.368\nAnswer: 4266.6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13520824 divided by 2.\nAnswer: 6760412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -41*y**2 + 33*y + 36. Let u(d) = -185*d**2 + 133*d + 143. Let t(n) = -9*s(n) + 2*u(n). Calculate t(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12619, -11521, -10423, -9325?\nAnswer: -8227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4, -1 in decreasing order.\nAnswer: 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 10 = 14*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -91*d - 82921. Calculate i(-912).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1294280\/7 or -184897?\nAnswer: -184897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -305 in 5, 3\/7, -0.4, -1.08, -2\/15?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -4 (c) 271 (d) -2 (e) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 1, f: 1, j: 8, a: 9}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 3421?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8802, -17606, -26410, -35214, -44018, -52822?\n\"Answer: -8804*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -67391?\nAnswer: -336955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 40. Suppose s = 4*s - 129. Is (8 + s)*(i + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5412 - 1460?\nAnswer: -7072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 1617*w - 1604*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z - 1. Let f be n(-1). Let g(u) be the second derivative of -u**5\/20 + 7*u. Let y be g(f). Solve 3*v + 2*v + 20 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 57*h + 311. Let w be y(6). Let c(z) = z**3 - 4*z**2 - 2*z - 8. Calculate c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1156614 and 15609?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664628 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -25\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 0*w**2 + 40490 - 2*w**2 - 40490. Let r(j) be the second derivative of -36*j**3 + 23*j. Determine f(r(q)).\nAnswer: -93312*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + 128. Let z = n + -155.0054. Round z to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73 - 75 - 6*l - 79 + 233 to the form g*l + t and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, x: 1, y: 6, n: 5}. What is prob of picking 1 n and 2 y?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -136*y**2 + 4*y**3 + 139*y**2 + 3*y**3 + (-2*y + 4*y + 0*y)*(y**2 + 2 - 2) - 12*y + 7*y**3 + 12*y.\nAnswer: 16*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(-51) + (-2)\/3 + 4165. What is the derivative of -15*b - 4162 + x - 31*b wrt b?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -611989163609 + 10979085572176279\/17940. Let j = 1\/17940 + r. Let x = 2517\/2 + j. Find the common denominator of x and 79\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljll when four letters picked without replacement from {m: 7, l: 8, g: 1, j: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 4*r. Let n(t) = t**2 + 7*t + 6. Let q be n(-5). Let w be (-5 - -4)\/((-2)\/4 - 0). Sort q, r, w in descending order.\nAnswer: w, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 9. Suppose -f*x + 3085588 - 205588 = 0. Let r be 1 - (1 - 20*x). What is r rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417 + -159. Which is smaller: 259 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190161 = -17*a - 47514. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:01 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = o, 2*s + 395*o - 588 = 546*o for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18324, 37002, 55680, 74358?\nAnswer: 93036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 583\/(-7). Suppose -4*z = -21 - l. Solve s + 2 = -2*p + 5, 2*s - 4*p + z = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14462750 and 5125.\nAnswer: 14462750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((-8927)\/2212 + (5 - 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6*x**2\/5 - 44*x\/5 + 14\/5 = 0.\nAnswer: 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2)\/(-32 - -10 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9321136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -34. Suppose 4*w + 1 - 5 = q, 2 = j*q - 5*w. Solve -z - 13 = -q*b, -3*b + 11 = -z - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 + -149. Let p = 70 - n. Solve -z + 5*l = -p + 1, 1 = -l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-32)*(-3 + 24\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**4*h - 17506*c**4 - 2*c**3*h**3 + 117*c**2*h**3 - 161*c**2*h - 8*c*h**3 - c*h**2 wrt c?\nAnswer: 264*c*h - 420144*c - 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 3.4.\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680 divided by -10?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(1\/(20\/25))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/1129 and -123\/10.\nAnswer: 11290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 740950 - 740950.3869606. Let u = -886.387 - -886. Let y = u - p. Round y to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 633?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 94ca9 (base 14) to base 12\nAnswer: 153a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -5715\nAnswer: 1\/1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2000553708 and 0.49305?\nAnswer: 2000553708.49305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15944987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 less than 132936?\nAnswer: 132901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 - -347. Let t(o) = -5*o - 4. Let k be t(-5). Calculate the highest common divisor of f and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c. Suppose -r = -c*r - 1. Is r bigger than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -322*u - 1378. What is the smallest common multiple of 336 and o(-5)?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 132, 303, 542, 849?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -981, -0.2, -82, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three fifths of a minute?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-5022)\/42)*(-1026)\/3591.\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 - 5 - 1904*w.\nAnswer: -1904*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14736\/8384 + 1\/4 + -2. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2. Let h(v) be the third derivative of -13*v**5\/60 - 2*v**2 + 8*v. Calculate c(h(d)).\nAnswer: 676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(5 - 12 - 2)*(j - 3 + 3) + (1 + 0 + 3)*(0*j + 3*j + 2*j) in the form b*j + o and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 47239.\nAnswer: 47239.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -102?\nAnswer: 102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0*o**3 + 1\/15*o**6 + 1\/21*o**7 - 1\/10*o**5 + 0 + 0*o**2 + 4*o - 1\/6*o**4. Determine v, given that w(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(sqrt(25)\/sqrt(5)))\/((sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(4)))**2 + 5*(5 + sqrt(12) - sqrt(15)\/sqrt(5)*-1).\nAnswer: 103\/4 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 146*z + 26006. Let m(s) = -46*s - 8668. Calculate -6*h(v) - 19*m(v).\nAnswer: -2*v + 8656","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -60*g + 64*g. Is (-1164)\/g - (-6)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 346*n + 33.\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 4*l - 4*l)*(-5*l + 5*l - 2 + l) + 2*l**2 - 2*l**2 - l**2 - l**2 - 3*l**2 + l**2 to s + n*l + m*l**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125741864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**2 + 0 + 1\/3*c**3 - 5*c. Suppose 2*m + 2*m = -16. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 19*q + 9. Let c be m(-9). Solve 8*i + i = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (-5)\/2. Let y be n\/3*(9 - 3). Suppose 0 = y*t + x - 25, 3*t - 4*x + 7 - 2 = 0. Solve -4*s + 2*s = q + 14, 3*s - t = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 - 178. Let o = -29 + 32. Suppose p - o = -s, -3*s = 5*p + 2 - 7. What is the biggest value in -5, z, -1, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/(sqrt(128)*2)*5.\nAnswer: 15*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(228)*1 - sqrt(228) - sqrt(228)) + sqrt(228) + sqrt(228)))\/(sqrt(972) + (sqrt(972) + sqrt(972)*1 - sqrt(972) - sqrt(972))).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 13 + 1)*(532 - 527 + 4*n + 4*n) to the form p + g*n and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29 + 0.3. Let s(j) = 2*j + 86. Let n be s(-43). Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 22 = 14*i. Sort i, -1, 1.\nAnswer: i, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 15*b - 572895. Suppose f + 346009 = -p - b, -f = -p + 384198. Round f to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7100 and 1917?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675 and 6436575.\nAnswer: 19309725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 times -0.002685?\nAnswer: 0.44571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -191, -148, 143, 766, 1805, 3344, 5467?\nAnswer: 8258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (357 - -1) + 6 + -7 + 6. Suppose -3*k + 221 = 12*j - 13*j, 5*k - a = -j. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 72 + 0*z**2 - z**2 + 151. Is l(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -1 - (-10 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:03 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2077612, -2077639, -2077664, -2077687, -2077708?\nAnswer: -2077727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:20 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 0.04, 1\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 660629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*k + 92 = 0, -2*b + 5*k = -0*b - 92. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -48. Let l be -1*((1 - -6) + -3) - z. Suppose 0 = w + 3*j + j - 559, -2*w - l*j + 1109 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = 7*v - 142. Let q be (-118)\/v + 64\/(-112). Find j such that 24\/19 + 40\/19*j + q*j**2 = 0.\nAnswer: -6, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 3*c - 8. Let b be g(-3). Suppose b*f - 8633225 = 4666775. What is f rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {i: 1, h: 9, j: 2, z: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034523 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 6:39 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-119645)\/(-35) + (-68)\/(-119). Suppose -k = -2*i - 3*v, 2*v + 3*v + 8610 = 5*i. List the prime factors of i.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -159448 and -0.008.\nAnswer: 1275.584","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(81) - sqrt(81))*2 + sqrt(81))\/(sqrt(12)\/((sqrt(220)\/sqrt(5))\/sqrt(11))).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 420 - 421.2. Let y = -28\/9 + 382\/117. Let p = -32\/39 + y. Do p and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {u: 13, c: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12032032220 (base 4) to base 12.\nAnswer: 667b48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/6 + 13*u**2 - 11*u. Let l be n(9). Which is bigger: l or 15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475 + -428. What is the lowest common multiple of g and 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 13 - (-12 - -17 - -14) - (0 + -59).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*h - 8 = 2*v - 256*h, -7 = 3*v - 5*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flf when three letters picked without replacement from flffklkflfk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q)**(8\/3)\/((q**(19\/2)\/q)\/((q*q**9)\/q)) assuming q is positive.\nAnswer: q**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-194)\/(-4))\/((-1)\/12). Let u = 18\/203 - -19295\/4466. Find the common denominator of (v\/(-20))\/((-96)\/40) and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1671170 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -19 in decreasing order.\nAnswer: 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7}. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20562 + -20528. Solve -n*f = 67*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 25) + (51 - 44) - -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, -0.34, 2\/5, -2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200010000021 - 0?\nAnswer: 200010000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24582 - 24582. Let k = -1 + 1. Suppose 0 = -3*g - 3 + 9. Solve -x - g + h = k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 6 = 4*h. Suppose 0*p - 180 = -h*p. Suppose d - p = 19. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40751566 - 3?\nAnswer: -40751570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -19\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/120 + 7*h**5\/60 - h**4\/4 + h**3\/6 - 4*h**2. Let d be a(6). Which is greater: d or 1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - 999\/(-81). What is the first derivative of -49 - r - 18 - 5*b**2 + 4*b wrt b?\nAnswer: -10*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 95*o - 202. Calculate the remainder when u(9) is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 120 = 0. Suppose 0 = -g + 5*o + 6, -4*g + 2*o = o - p. Solve -l - 4*f = -16, 2*f = 3*l + g*f - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757*u**2 + 243*u**3 - 757*u**2 - 240*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98917612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 522600 divided by -1675?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -79\/319576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690830.1 kilometers in meters?\nAnswer: 690830100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + (1 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -165, -366, -641?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 225, 278, 333, 390, 449?\n\"Answer: k**2 + 50*k + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 4*i - 2. Suppose 4*v - 57 = 4*a - 93, 4*a - 3*v - 33 = 0. Let o(p) = -9*p**2 + 9*p + 4. What is a*o(k) + 14*s(k)?\nAnswer: 2*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0593028 micrometers in kilometers?\nAnswer: 0.0000000000593028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/3 + 860*m\/3 + 45500\/3 = 0.\nAnswer: -50, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**7\/42 + 5*o**6\/6 - 25*o**5\/3 + 170*o**2 + 4*o. Factor b(l).\nAnswer: -5*l**2*(l - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -0.4, 0.3, 13, 3 in descending order.\nAnswer: 13, 3, 0.3, -0.4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*a**3*b**3 - 3*a**2*b**3 - a**2 + 171*b**3 wrt a.\nAnswer: -39*a**2*b**3 - 6*a*b**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0425377 + 0.04224. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and 0.0675621.\nAnswer: 0.0075621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2712281?\nAnswer: 11, 13, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 29*l - 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 10729141?\nAnswer: -7\/10729141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from {x: 2, l: 1, z: 2, c: 1, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {n: 1, u: 5, s: 1, m: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2972*x + 42918 = -2039*x for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(68))\/sqrt(4) + (sqrt(1700) + -1*sqrt(1700) + 2)**2.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 4*x - 46 = -32*f, -138 = -5*f - 3*x. Calculate the greatest common divisor of f and 2370.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5 = -10, -5*j - 11 = -w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42358\/13 - 3258. Solve -2\/13*b**3 + 0 + 0*b - 4\/13*b**4 + d*b**2 + 2\/13*b**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 - 4*s + 2. Let p be i(-3). Suppose -a + 13 = p. What is m in -a + 34*m**2 - 12*m + 43*m**2 + 63*m**2 = 0?\nAnswer: -1\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 46*o**3 - 43882*o**2 - 1123168*o - 4542560 = 0. Calculate o.\nAnswer: -20, -116\/23, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncvi when four letters picked without replacement from {n: 1, i: 1, c: 2, v: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 + 0 = 0. Calculate the common denominator of -69\/4 and (-4)\/i - 702\/(-336).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 + 2388*y**2 + 14409*y + 21654 = 0. What is y?\nAnswer: -3, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2)\/b**(-4))\/((b**2*b*b)\/b)**(1\/10) assuming b is positive.\nAnswer: b**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, -256, -548, -958, -1492, -2156, -2956?\n\"Answer: -x**3 - 50*x**2 - 23*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-5) + 1\/5. Let f(z) = 5*z**2 + 2 - 8*z**2 - r. Let k(x) = x. Calculate k(f(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585301 and 554?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 - h**4\/4 - h**3 - 82*h**2. Let c(p) = 6*p - 10. Let b be c(7). Suppose -i - 2*f + 8 = -0, 2*f - b = -5*i. Give g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -39.4. Let w = d - -3.688. Let s = w - 0.0778. Round s to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1494*c + 1498*c + 16. Suppose 5*h + 22 + 3 = 0. Sort h, 3, c in descending order.\nAnswer: 3, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/99*18\/8*6\/(30\/85).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*m**3*u*v**2 - 2*b*m**3*u + 421*b*m**2*u*v**2 + b*m*v + 3*m**3*u + 2*u + 5*v wrt v?\nAnswer: 6*b*m**3*u + 842*b*m**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 7. Let h be o(-5). Let v(c) = -2*c + 14. Let b be v(6). Sort h, -1, b in decreasing order.\nAnswer: h, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -2*h + 12, -343 = -3*h - 3*l - 331 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100\/3 + 33. Put 0.1, r, -0.02 in descending order.\nAnswer: 0.1, -0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 + 3*y + 4. Let j be s(-3). Suppose 14*b - 308 = 7*b. Calculate the greatest common divisor of j and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*v - 18*v - 48*v)*(10 - 7*v - 10)*(v + 2*v - v) in the form w*v**2 + z*v + h*v**3 + o and give h.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 563 + -207. What is the remainder when y is divided by 123?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2 - 113*s**2 + 111*s**2 - s**3 - 8. Let i be h(-3). Suppose i*r - 4*j - 4 = 9, -5*j - 21 = r. Is 3\/20 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93.505 + -0.305. Let n = g - 135. Let h = -41.8000354 - n. Round h to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2. Let y = -9 + 12. Let c(v) = -4*v + 14. Let a(g) = g - 3. Let i(h) = y*c(h) + 14*a(h). Determine i(l(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457023.4 millilitres in litres?\nAnswer: 457.0234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 4 - (17 + -21). Let c = 0.55 - 0.85. Sort c, a, -0.1, -1\/4.\nAnswer: c, -1\/4, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/((-3)\/(1*12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -153229488, -306458978, -459688468?\n\"Answer: -153229490*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 9 + 1)*(-4 + 4 - 8*x + (-2*x - 3 + 3)*(-2 + 2 + 2) + 6*x - x - 3*x - x - 3 + 3) to the form o*x + u and give o.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 = -2*t, 3*c - c = 0. Suppose 2*f - 6*f = -5*m + 22, 16 = 5*f + m. What is the smallest common multiple of f and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**3 - 18*t**2 - 35*t + 26. Let d be l(-11). Suppose 14*y - d = -11*y. Calculate the lowest common multiple of y and 14.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/525 - n**6\/300 + n**5\/75 - 35*n**2\/2 - 102*n. Let u(x) be the first derivative of s(x). Determine c so that u(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 108896247.\nAnswer: 871169976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3747744 and 29\/416416.\nAnswer: 3747744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 1\/36*m**5 + 0 + m + 40\/9*m**3 + 5\/9*m**4 + 3\/2*m**2. Let d(q) be the first derivative of o(q). Find h, given that d(h) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2 = 4*s + 14, 0 = 5*s + 3*w + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*s**3*u + 1002*s**3 - 96*s**2*u + 68878915*s*u wrt s?\nAnswer: -54*s*u + 6012*s - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4620 + 4620.1. What is the nearest to 2\/3 in o, -2, 86\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*9\/54*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60651025, 60651026, 60651027, 60651028, 60651029?\nAnswer: 60651030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*s + 4*o = -1332 + 1436, -9*s - 2*o + 36 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 64.543 and -0.0398831.\nAnswer: 64.5031169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1250 and 83\/150.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136) + sqrt(136))\/sqrt(8) + sqrt(17) + 3 + sqrt(68)\/sqrt(4))**2.\nAnswer: 30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -298*l + 68*l + 7820 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 0.5, 4, -2, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 1. Suppose -7 = -f - 15. Let s = f - -5. Let d(a) = -2*a + 1. Let q(x) = 4*x - 2. Let c(y) = s*q(y) - 7*d(y). What is 3*c(u) + 4*t(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/i**(-3\/2))**(-4\/11)*(((i**9*i)\/i)\/i**(1\/2))\/(i\/(i*i*i*i**(-1\/4)*i*i))**(-2\/31) assuming i is positive.\nAnswer: i**(28682\/3751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o\/(o**(-1)*o)*o))\/(o*o**(2\/13)\/o))\/o**(3\/11)*(o\/o**3*o**1\/o)\/(o*o**(-2\/11)*o**0) assuming o is positive.\nAnswer: o**(-750\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from hppppnccpppccmhpppcc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/6)\/((-10)\/(-3)). What is the second smallest value in -5, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -12\/5 (c) -2\/19 (d) 9\/2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*d + 7*g - 2*g, 4*d - 5*g + 34 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-10)\/10 + 10 + (-1)\/1. Solve t*k + 39 = 47 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000328959 to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/371 and 67\/97168928.\nAnswer: 680182496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 + 7*o - 12. What is d(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 54.01172. What is i rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/65071170 and -53\/277884.\nAnswer: 390427020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4515 - -4555. Solve 39*y + q = 47*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*y + 4 - 4 + 3*y**2 + 2*y**3 - 2*y**2.\nAnswer: 2*y**3 + y**2 - 937*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2417341 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 8, -3*r + 7*r - 2*z + 307188 = 0. Let c = 22798 + r. Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 11 = 4. Let s(g) = -2*g**3 + g**2 + 1. Let t(u) = 5*u**3 - 33*u**2 + 255*u - 227. Let z(b) = w*t(b) + 2*s(b). Factor z(x).\nAnswer: (x - 15)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 278, 270, 258?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1018 (b) -732 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012481831 rounded to seven decimal places?\nAnswer: 0.0001248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -443.6.\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v = 21*v - 98 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 4*a + 7*a + 57*a**3.\nAnswer: 57*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 - -12) + (54 - 48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -124.\nAnswer: 45\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bijjbbjibbxiijijj. What is prob of picking 1 i, 1 j, and 2 b?\nAnswer: 15\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*u - 659*u - 8 + 17 - 12.\nAnswer: -509*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -118?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 949919174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(24)\/sqrt(4)) - sqrt(10))\/(sqrt(4)\/sqrt(2)*1) - (-4 + sqrt(25)\/(sqrt(5)*2*1)).\nAnswer: -sqrt(5)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 230.9826us?\nAnswer: 230982.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108578\/5 + 2\/5*c**2 - 932\/5*c.\nAnswer: 2*(c - 233)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b - 6. Let i be g(6). What is the common denominator of (-228)\/i*3\/16 and -32\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 177*r**3 - r**2 - r. Let s be y(-1). Suppose 0 = -271*u + 261*u - 2760. Let m = s - u. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -426*d + 22 + 930*d**2 - 24 - 931*d**2 + (-2 + 2 + 3*d)*(d + 1 - 1) to f + j*d + c*d**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**4 + 138*t**3 - 519*t**2 + 636*t - 252 = 0.\nAnswer: 1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 11*l + 21*l + 3*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + 1)*14\/(-56). Let k = 202 - 198. Solve -a*y + 0 + k = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(334*o - 2395*o - 2 - 4581*o + 2).\nAnswer: -6642*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*210\/(-112)*1\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 41. Calculate the greatest common factor of 69 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let l = -1 + 21. Let r = l + -15. Which is the nearest to u? (a) -0.2 (b) r (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/55 - (-62)\/22. Suppose 0 = -z*o + 2*o + 44. 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: Expand (-2 + 3 - 4)*(22*m - 17*m + 19*m) - 186 - 32*m + 186.\nAnswer: -104*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*g - 3*g + 12, 0 = -x - 4*g - 15. Let j(s) = -s**2 + 6*s + 8. Let d be j(8). Let q be 2 + -3 + -2 - d. Sort 0, x, q in descending order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86*-14\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-12) + -8*15\/(-20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 - 2*m + 3. Let p(r) = r**3 - 5*r**2 + 5*r - 4. Let s be p(4). Suppose s + 2 = h. Give z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1341133 and 1138.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 256 = -6*m + 14*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**5\/5 - 3*k**2 - 5. Find the second derivative of c(j) wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -44*f. Let b(n) be the second derivative of -n**4\/12 - 7*n**2 + 56*n + 1. Give m(b(i)).\nAnswer: 44*i**2 + 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-26) + -41 + (-13527)\/(-351)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**4 - 84*v**3 + 23*v**2 + 10*v - 5. Let r(q) = -3*q**4 + 41*q**3 - 12*q**2 - 4*q + 2. Let m(o) = 2*c(o) + 5*r(o). Factor m(u).\nAnswer: -u**2*(u - 7)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56 times -0.05\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:11 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/36 - 10*u**3\/3 + 208*u**2\/3 - 3*u - 478. Factor f(x).\nAnswer: (x - 52)*(x - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 8, x: 9}. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 4 (c) 1\/32 (d) 1\/3 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.84*-0.02.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = 3*a, 0 = -2*a + 2*s + 2*s - 26. Let k(g) = g**3 + 2*g**2 + 9*g + 38. Let y be k(a). Solve 4*u + p = 18, -y*u + u = 2*p - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3958 - 0.17711.\nAnswer: -3958.17711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 2*c - 9. Suppose 0 = 7*t - 4*m, 94*t + 4*m = 90*t + 44. Determine p(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189956585 or 189956586?\nAnswer: 189956586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-134441.\nAnswer: -134441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/3 + 24*i. Let f(j) = -44*j**2. What is f(w(c))?\nAnswer: -176*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 986425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5 + 0)*((-55)\/11)\/(-110)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1760 + -1761. Let i be 2 - 3\/(150\/232). Let m = i - -26\/25. Is m at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33492643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 8:12 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022109 rounded to 6 decimal places?\nAnswer: 0.000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, 0, -9, 5 in decreasing order.\nAnswer: 24, 5, 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2877, 2998, 3119?\nAnswer: 3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -127. Let u be (10\/5)\/(4\/10). Solve r*p = 5*w - 12, -2*w + 7*w - u*p = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-10) + 4\/(-10). Let g = -4 + 5. Suppose 6 - g = s. Sort s, t, 0.\nAnswer: 0, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 + 1. Let d be q(3). Let y be (d - (-1 - 0)) + 0. Suppose -c - y*c = -27. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 112. Let j be o(-21). Let q be j\/(-14)*(2 + 12). Solve 3*r = 4*b + 11, r + 3*b - 9 = q*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 5. Let w(o) = 6*o + 92. Let q be w(-15). Suppose q*d = -5*x - 2 + 27, 2*d = -2*x + 10. Determine j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (423\/(-36) - -11)\/(1\/(-16)). Calculate the highest common divisor of 2460 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - v. Let k(c) = 6*c**2 - 2*c. Suppose 2*i - 36 = 4*z, 0*z = 5*z - 4*i + 51. Let o(x) = z*w(x) + 3*k(x). Let b = -9 - -10. Calculate o(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 34 - 11)*(-6*z + 3*z + z + (-3 + 3 - 2)*(3*z - 2*z + z) + 2*z - 3*z + 0*z).\nAnswer: 672*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 (base 11) in base 16?\nAnswer: -1cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 50, 0.2, 0.16, 5\/6, 0.3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 12*n - 32*n in the form o + l*n and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -36. Suppose -y = -3*y + m*a + 430, 0 = 4*y - a - 867. Calculate the highest common divisor of y and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12460 (base 13) in base 14?\nAnswer: c3db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*u = 0, 3*r + r + 3*u + 3 = 0. Let i(f) = -2 - 2 + r*f - 8*f - 3. Let n be i(-2). Calculate the highest common factor of n and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 27*m**2 + 711*m + 169. Calculate t(-26).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*r = -7*r + 27, -3*i = -2*r - 6. Suppose -x - x**3 - 3*x**4 + 3*x**2 + i*x**3 - 2*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*v, -c - 592975*v + 22 = -592980*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*u + 344*u = -240, -2*t - 2*u - 98 = -0*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 45*m + 7 + 45*m + ((-5 + 5 + 2)*(0 - 1 - 1) - 2 + 4 - 3 - 2 + 4 - 3)*(-28*m - 5*m**2 + 28*m) to the form b*m + o*m**2 + f and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1.9 (b) 828 (c) 127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - (9 + (-6 - -3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 6*l - 36. Is j(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 13*z - 1 = 18*z, 10 = -3*a + z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0207 (b) 2\/9 (c) -1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(50)\/(sqrt(40)\/sqrt(4)*5))**2*-1 + -4.\nAnswer: -146\/5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, -36, 5, 1, 0 in descending order.\nAnswer: 5, 4, 1, 0, -13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12011 + 2?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 31 = 2*o - 3, -4*o - 3*r = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 33. Let m = -86 - 56. Let p = 146 + m. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*l + k, -32*l + 30*l + 10 = -2*k. What is the derivative of 10 + 21 + 2*u**3 + l*u + 10 + 26 wrt u?\nAnswer: 6*u**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + w - 3*w)*(-2*w**2 + 0*w**2 + w**2) + w**3 - w + w + 8 - 8 + 12*w**3 + 4*w**3 + w**3 - 4*w**3 to the form v*w**3 + q*w**2 + x + r*w and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20510, -50961, -81414, -111869, -142326, -172785, -203246?\n\"Answer: -s**2 - 30448*s + 9939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.32176459 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {y: 1, e: 2, f: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as 11803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*h**2 + 171*h - 11*h**2 - 35*h + 35*h**2 + 7*h**2 wrt h?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 10*a - 56. Let x(n) = 2*n**2 - n + 3. What is the lowest common multiple of a and x(3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101480*o**3 + 292009*o**3 + 3*o**2 - 3*o**2.\nAnswer: 393489*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 9)*1002807\/108. What is o rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -44102516.63.\nAnswer: -44102511.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 56*m + 88. Let b be k(34). Let z = b - 821. Let w(a) = 7*a**2 - 4*a. Let s(y) = -27*y**2 + 15*y. Determine z*w(q) + 4*s(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 6*j + 12. Calculate f(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*28\/1554*-3.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 5*s. Let r be w(-6). Let k be (r\/(-9))\/((-2)\/15). Calculate the common denominator of 1\/2 and (k\/(-12))\/(1\/51).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 69 = 5*w - 3*h, 27 = 5*w + 4*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 8*s**2 + 3*s - 5. Suppose 88*f + 2 = 92*f + 6. Calculate n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y - 25. Suppose 4*r + n - 4*n - 405 = 0, -3*r + 5*n + 290 = 0. What is the greatest common factor of y and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 666*o - 640*o - 166088. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, 0.5, -0.51782?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -62*t - 17. Calculate b(6).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(8\/6). Let m be 14\/28*-5*8\/(-30). Which is the smallest value? (a) k (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/22, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = -4*p. Let i = 5 + p. Suppose 0 = 2*u - 7*u + 2*a + 34, 5*u - 32 = a. Calculate the lowest common multiple of i and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/3344 and -109\/242.\nAnswer: 36784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*t + 140, -3*t + 2*c + 59 = -25. Suppose 2*y = 24 + t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, l: 2, e: 6, v: 1, g: 2}. Give prob of picking 1 e, 2 l, and 1 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/9 + 310*d**2\/9 - 904*d\/9 - 1216\/9 = 0?\nAnswer: -1, 4, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 + y**2 + 4*y. Let a(l) = 4*l**3 + l**2 + 3*l. Let b(h) = -5*h**3 - h**2 - h + 2. Let v be b(1). What is v*s(f) + 6*a(f)?\nAnswer: -f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*w**4 + 1 + w**3 + 200*w**4 + 4725*w - 4725*w in the form b*w + g*w**4 + r*w**3 + o + h*w**2 and give g.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 107*s + 24. Let g be a(-36). Let t(h) = g*h**2 + 6*h + 4 - 54*h**2 - h**3 - 4*h. Calculate t(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -188 + -2?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/29876800 and 53\/448?\nAnswer: 209137600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Let q = 3.9 - -0.1. Let a = -3 + q. What is the smallest value in l, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 0.015.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.1899885 + 32.19. What is n rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(-810)*-6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42596.88 kilometers in micrometers?\nAnswer: 42596880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-3)\/66 - (0\/23)\/(-10)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let z(u) = 31*u + 3. Calculate z(x(y)).\nAnswer: 62*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2474, 2486, 2504, 2528, 2558, 2594?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 16 = -4*p, -5*p + 8 = -2*t - 3*p. Suppose 3*x - 12 = -0*x. Solve 3*v = -t*v - 3*r + 6, x*r = 2*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559 + 5374*d**2 + 1134 - 575 + 6945*d**2.\nAnswer: 12319*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -333, -354, -375, -396, -417?\n\"Answer: -21*u - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.4 + 10.4. What is the third biggest value in i, -1, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 + 6*q + 9. Let c be p(7). Suppose 2*u = -c*u + 1228. Let r = u - 180. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 13. Suppose -b*d - d + 170 = 0. Calculate the greatest common divisor of d and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -798, -1206, -1618, -2034?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**8\/4 - g**4\/3 + 34*g. Find the third derivative of o(x) wrt x.\nAnswer: -1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.7 from 0.8.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -59, -96, -137?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s - 30. Let t = 37 - s. Let x = t + -19. Solve 0*v + x*v = -12 for v.\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\/17 (b) 2\/3 (c) -14 (d) 5 (e) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 - 11*g + 5. Let m(y) = 6*y**2 - 10*y + 3. Let a(i) = -4*m(i) + 5*n(i). Determine a(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**40)\/((n\/n**(5\/2))\/n))**(-18))**(-16) assuming n is positive.\nAnswer: n**(-10224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 552, 11, 15?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)\/h)**(-3\/2)\/(h\/(h**3\/h*h)*h*h\/(h\/(h*h\/(h**(-1\/6)\/h)))) assuming h is positive.\nAnswer: h**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 11:21 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170d - 34886?\nAnswer: -33177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 1430.0445074?\nAnswer: -1430.0945074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 47336?\nAnswer: 8993.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 964623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/24 - 5*t**3\/6 + 28894*t**2. Suppose -2*m - 3*u + 2 = -7, -2*u = -6. Let n = m + -6. Determine f(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l**3 + 4023*l**2 - 34*l**3 - 4023*l**2 + 27*l**3 + 30*l**3.\nAnswer: 55*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 15*z**2 - 16*z - 6. Let s be x(-14). Let v = s - 15. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -212*y - 4*y**3 - 37 - 123 - 1309*y**2 + 1253*y**2.\nAnswer: -4*(y + 1)*(y + 5)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from hhdyyydyhhhhhdhyhhyd.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let k be -2 + 2 - w\/(-3). Suppose k = -3*i - 4*n + 69, -i + 3*n + 46 = i. Solve -4*b + q = i, -b + q - 17 = -3*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53225052 and 6896?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 6, -8, 193 in ascending order.\nAnswer: -8, -4, -2, 6, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - f**2 + f**2 - 3*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2416, -2415, -2414, -2413, -2412, -2411?\n\"Answer: r - 2417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21 + 18)*(-2)\/(-3) - -66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 - 250. Which is the second smallest value? (a) 0.2 (b) -2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*(-1)\/(-6). Let l = 591 - 519.2. Let p = -72.2 + l. What is the nearest to d in p, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5262*l**2*x**2 + 58*l**2 - 5*l*x - 3*l wrt x.\nAnswer: 10524*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-128)\/48)\/(2\/(-102)*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265896373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 + -8 - 13) + -26 - 36?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 - 3*g - 1. Let a be y(3). Let b(p) = 7*p. Suppose -4*s = -9*s - 15. Let f(q) = -7*q. Let w(i) = s*f(i) - 4*b(i). Give w(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*f**2 + 31*f**2 + 35*f**2 + 31*f**2 + 13*f**2 - 155*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*j = 2, 5*w - j + 2 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 5*m - m. Let c(l) be the first derivative of -l**3 + 1. Determine n(c(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 13*v**6\/360 + 3*v**4\/2 + 3*v**2 + 7. Let m(t) be the second derivative of y(t). Let z(j) = 3*j**2. Determine z(m(n)).\nAnswer: 2028*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31 - 371)*((-4)\/204 - 0). Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*((254 - 254 + 15*p)*(-2 + 1 - 1) - p + p - p).\nAnswer: 62*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18)\/p)\/p*p\/p**(-14)*p*p**(1\/17)*p*(p\/p**(-27))\/p assuming p is positive.\nAnswer: p**(409\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 19*j - 8. Let z be w(-10). Solve d = 2*d + 3*x, -d = z*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7827 is divided by 526.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34122 is divided by 455.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/31)\/y*y)\/(y**14\/y)*(y*y*y*y**(-6\/19))\/((y*(y**8\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-9572\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3220, -3366, -3504, -3634, -3756, -3870, -3976?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*d = 1507*d + 663*d + 56166 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = -12. Suppose 89 = l + 8. Let w = l - 407\/5. Sort w, x, -4 in decreasing order.\nAnswer: x, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128.64 rounded to the nearest ten?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49623 and 84609?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -22, -24, -22, -16?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/4 - 8619*a**2\/4 + 4305*a\/2 + 4308 = 0 for a.\nAnswer: -1, 2, 2872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -5.38589738.\nAnswer: -5.08589738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/(-70)*(-20)\/(-8). Sort -4, 10, x in ascending order.\nAnswer: x, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 466\/5 - 94. Let j = -69 - -68.6. Sort j, 2\/13, r, -3 in increasing order.\nAnswer: -3, r, j, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4062475628?\nAnswer: 2, 9341, 108727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154992.\nAnswer: 2, 3, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(9) + sqrt(72)\/sqrt(8) + sqrt(9)) - (sqrt(2) + sqrt(2) + -2 + sqrt(2) + -2)) + -6*-6*sqrt(18)*-3)**2.\nAnswer: -7840*sqrt(2)\/3 + 1920944\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6 - (10 + -1)) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80821988659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 37 = 5*k, n = 4*k - 20 + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 74974?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13073.\nAnswer: 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2\/2 + t + 3. Let v be (-2)\/(-6)*(1 - -2). Let a be q(v). Solve -3*d = -a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 + -78. Suppose 4*o = h - 9. Calculate the remainder when (-13)\/(-2)*-8*(-6)\/o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/58 and 9\/290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64593, 64589, 64583, 64575, 64565, 64553?\n\"Answer: -h**2 - h + 64595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(8)\/(3*sqrt(4)) + sqrt(2))**2 - (4*((-3*sqrt(98) - sqrt(98)) + -1 - sqrt(98)))**2.\nAnswer: -352876\/9 - 3344*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -24. Suppose 18 = r*f - 5*f. Let a be -1 + f + (1 - -4). Solve 0 = 3*c - 5*v + 20, a*v - 3*v = -3*c + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 19*n + 14. Let v be f(10). Solve -v = -0*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64765*f*m**3*u*w + f*m**2*w + 3043*f*m*w + 2*m**3*u - 2*m**3 wrt u?\nAnswer: -64765*f*m**3*w + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = z + 396. Suppose 8*r + 26 - z = 0. Let k(n) = 3*n**2 - 9*n - 6. What is the smallest common multiple of 18 and k(r)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 16*z - 38*z. Let f(h) be the first derivative of 0*h**z + 27 + 1\/3*h**3 + 0*h. Let y(n) = 15*n**2. Calculate y(f(s)).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - 74) + (1 + -7 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 22)*(6 - 3 - 5*v - 4) as i + t*v and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -31, -32, -19, 14, 73, 164, 293?\n\"Answer: r**3 - 2*r**2 - 10*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p = 51*p - 105. Let n be (-5)\/(-35)*p\/25. Put n, 5, 0 in ascending order.\nAnswer: 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660.007 weeks in hours?\nAnswer: 446881.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**5 - h. Let p(z) = -561*z**5 + 2*z**4 - 2*z**3 - 16*z**2 + 12*z - 37. Let l(f) = -p(f) - 12*s(f). Find the third derivative of l(u) wrt u.\nAnswer: 29340*u**2 - 48*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppeygpy. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -13. Suppose 2 = 4*t - g*t. What is the smallest common multiple of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i. Let r(z) = -10*z - 56. Let u be r(-6). Suppose -h - 2*b = -0*h + 11, 29 = -u*h - 3*b. Let k(p) = -15*p. Determine h*t(o) + 4*k(o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and 1.8?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/3)\/4 + (-2)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*y**5 - 4833*y**4 + y**3 + 490977*y**2 wrt y?\nAnswer: 960*y**2 - 115992*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 13 = -23*b + 22*b, -3*b = -2*r - 19. Let z(n) = n - 5. Let a be z(10). Put r, a, -4 in decreasing order.\nAnswer: a, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/1083365 and 77\/40104?\nAnswer: 78002280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 4*u**2 - 13*u + 24. Determine v(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x)**(-1\/9))**(-48)*((x\/(x**(2\/15)\/x))\/(x**8*x))\/(x\/x**(2\/9)*x)**(9\/7) assuming x is positive.\nAnswer: x**(-1263\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2 - (-67)\/((-168572)\/(-4896)). Let i be -1 + 9 + 1 + 2. What is the third smallest value in i, k, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -53068761?\nAnswer: -53068761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(2\/5)*u\/(u**(-1\/14)\/u)*u)**(-20\/3)*((u**6\/u)\/u*u)\/u**0*u\/u**6*u**(-2) assuming u is positive.\nAnswer: u**(-232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4 - 12 = -v, v + 4*d + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0405*-709\nAnswer: 28.7145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/(-84))\/(1\/(-66)). Solve 39*o = q*o - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 9, -3, 1 in increasing order.\nAnswer: -5, -3, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rehrqqjreqcercr. What is prob of picking 2 c, 1 j, and 1 e?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 + 5 - 153*y - 156*y + 5*y**2 - 155*y + 466*y in the form i*y + r*y**3 + t + b*y**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62211706273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7964624 millilitres?\nAnswer: 0.0007964624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20039082 to 3 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let f(d) = 9*d + 2. Let y be f(2). Suppose -g - y = -5*g. What is the nearest to -1 in c, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*v + 90 = -123*v. Let b(u) be the third derivative of 7\/6*u**3 + 0 + 0*u**4 - 5*u**v - 1\/15*u**5 + 0*u. Differentiate b(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-770)\/100 - (-48)\/6. Which is the second biggest value? (a) -2 (b) 3 (c) -5.3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3)\/k)\/k*k)\/k*k*k\/k**(-1\/2)*k*(k**(-1))**(2\/19) assuming k is positive.\nAnswer: k**(-23\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 3*y**5\/70 - 89*y**4\/168 - 5*y**3\/42 + 703*y**2. Determine l, given that t(l) = 0.\nAnswer: -1\/18, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggx when four letters picked without replacement from {g: 7, x: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -54592*n**2 + n. Let l(b) = -13*b. What is a(l(p))?\nAnswer: -9226048*p**2 - 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z - 6. Let p be d(3). Let h = p + 8. Solve -o - o + h = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/36)\/i*i\/i**3)**(-2\/35) assuming i is positive.\nAnswer: i**(109\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -493*l + 19. Let s be o(-3). Suppose 31*c - 24*c + s = 0. Let x = c - -433. List the prime factors of x.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 39*f**2\/5 - 18*f\/5 + 19\/5.\nAnswer: -(f + 1)*(f + 19)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*y + 171 + 256 = -41. Let p(k) = -k**3 - 2*k**2 - 2*k - 1. What is the smallest common multiple of p(-2) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 100. Let z(x) be the second derivative of -1\/30*x**q + 1\/6*x**4 - 1\/2*x**2 - 6*x + 0*x**3 + 0*x**5 + 0. Find h, given that z(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 339 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 129.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -19*u**2 - 121*u - 104. Calculate b(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/45*16\/(-56).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:49 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(1\/6). Let x be o\/(-4) + (-1 - 0). Let j = 4 + -4. What is the closest to j in 0.04, 5, x?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/40 - u**4\/8 + 44*u**3\/3 + 111*u**2. Let f(s) be the first derivative of r(s). Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*j + 3, 6*b + b + 45 = 900*j - 901*j for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 1125.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 371237896.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(512\/10 + -55)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023310 (base 6) in base 8?\nAnswer: 274632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.06 - 36. What is the second biggest value in b, 1\/3, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9253*s**2 - s + 15291.\nAnswer: 18506*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*1\/14*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by (-26)\/156 - (-1389)\/18?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 < 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.40422 - 0.00422. Which is the nearest to 9? (a) 0.3 (b) g (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-15) - (1 - (-37)\/(-5)). Suppose 2*c = -g, 0*z + z = 5*c - 80. What is the tens digit of 0 - (0 - z)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (-7 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80754276.\nAnswer: 2, 3, 37, 239, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 56473 (b) 4\/65 (c) -1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Suppose 3*i = 8 + 40. Let l = 32 - i. Let k(u) = l - 16 + 10*u. Give r(k(f)).\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:56 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, -5, 1.33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 32 - 112. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*p - 1, 5*p + 4*g - 7 + 21 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - -5*sqrt(91)*3)\/((sqrt(350) - sqrt(14))\/sqrt(2) - sqrt(7)).\nAnswer: 16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721.358ug in tonnes?\nAnswer: 0.000000003721358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/12 + 11\/44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -155. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1399 - -7739. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let t be (3 - 3) + (j - 0). Put -0.1, -1, t in ascending order.\nAnswer: -1, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.8. Let p = -56275.5 + 56276. Put -1, p, -3, t in decreasing order.\nAnswer: p, t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(2057) + -4*(0 + sqrt(2057) + sqrt(2057) + sqrt(2057) + sqrt(2057)) + 1 + -1*2*sqrt(2057) + sqrt(2057)))**2.\nAnswer: -7040*sqrt(17) + 2106468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1172801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwwf when four letters picked without replacement from {f: 8, m: 5, w: 7}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 67. Let o = 29.958 + 0.042. Let v = o - k. What is the closest to -1 in v, -5, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - -9.63. What is d rounded to one decimal place?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1438 (b) 1\/4 (c) -0.1 (d) 0.3 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taa when three letters picked without replacement from {x: 3, a: 3, t: 2, n: 7}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 13*p**2 - 13*p + 10. Let q be d(12). Suppose 3*g - 40 = -4*x - 0*g, -x + 3*g = 5. Let h = q + x. Solve -4*w - h = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6*6 - -24. Let n = -26 + t. Let d be 27 + 4 + n*-3. Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -3 - 1*-1. Let i be -1 - (-2 - (2 - g)). Suppose -5*l = 3*p + i, 4*l + 10 = p + 3*l. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329 divided by 32062\nAnswer: -329\/32062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60163 is divided by 150.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + d + (-2*d + 5*d - 2*d)*(-4 + 5 - 3) - d + 3*d + 0*d)*(3*d - 13*d - 6*d) to q*d**2 + m + t*d and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35192207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q. Suppose -3*o + a = 6, q*a = 4*a - 12. Let u = 18 + o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 29 = -2*l - 5*g, 3*l = -2*g - 4. Let w = l + -2. What is the second derivative of w*c**3 + 3*c**3 + 0*c - c wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 28437 = -34*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 3*c**4\/2 - 5*c**3\/3 + 3*c**2\/2 + 4*c - 95. What is the remainder when j(2) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6 = 2*f, -4*l - 21 = -3*l - 5*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0394 + 306.9606. Let g = l + -304. What is the nearest to 2\/3 in -2\/15, g, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 9\/4*k**4 + 3*k**2 - 10 + 0*k + 7*k**3. Factor v(l).\nAnswer: 3*l*(l + 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.2 (c) -25\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10653991*b**3 + 15461285*b wrt b?\nAnswer: -63923946*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:28 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*((-8)\/(-14))\/(140\/(-72295090)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - 2*r**3 + 5*r**3)*((r + 6*r - 2*r)*(-3 - 1 + 5) + r + r - 4*r) as z*r**2 + d + n*r + b*r**4 + w*r**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 12*u - 150. Let s be x(8). Sort 67, -3, s.\nAnswer: -3, s, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/100*30\/2. Let a(r) = -r**3 + 2*r**2 + 6*r**2 + 2*r**2 - 7*r + 4. Is a(q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242235630 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -182502268 + -5?\nAnswer: -182502274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 384 - -66. Let o = n + -229. Is o 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 2240 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 197*c**2 + 21*c - 13. Let g(v) = 99*v**2 + 11*v - 6. Let l(s) = -7*g(s) + 4*q(s). Let d be l(2). Suppose 2*h - 5*h = -d. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1242326?\nAnswer: 1242322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -530, -2\/7, 4\/7, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 158, 665, 1522, 2735, 4310, 6253?\n\"Answer: w**3 + 169*w**2 - 7*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 17 + 13 = 0. Let k be f\/3 - 41792\/(-48). Suppose -3*q + q + k = 4*g, 4*q - 432 = -2*g. What is the remainder when g is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 1331580851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 3. Let w(g) = -g**3 - 7*g**2 - 6*g + 3. Let u be w(v). Let c = 14 - u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 - 2 = 0. Let n(o) = -1. Let v(d) = -4*d + 2 - 4*d + 7*d. Calculate w*v(g) - 4*n(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -52.4. Let f = 2 + -2. Let y = f + -0.4. Which is the second smallest value? (a) p (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 80.6 and -180.214603.\nAnswer: -99.614603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150584 by 18823.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 88. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3801980*c**2*l**2*o**2 + 2*c**2*l**2*o + 3*c**2*l*o**2 - 3114733*c**2*o + 2*c*l**2*o wrt o.\nAnswer: -7603960*c**2*l**2 + 6*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*h - 4 = j, j + 3*h = -3. Suppose -6*n - 9 = -3*n. Put n, j, -4 in increasing order.\nAnswer: -4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 3. Let w be (1 - 2)*(-8)\/(16\/4). Let q be o(w). Let b = 1.3 - 1.8. What is the closest to q in 4, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-22)*b)\/(b*b**(-4\/3)*b)*b**(-1\/21)*b\/(b*b*b**2))**4 assuming b is positive.\nAnswer: b**(-692\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-29 - (-4 + -8 + 17 + -1))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**2*x**2 + 330*p**2*x - 7*p*x**2 + 920*x**2 - 188 wrt x?\nAnswer: -6*p**2 - 14*p + 1840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73823762 is divided by 257?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**4 + 7*b**3*z + 32*b**3 - 7*b**2 + 2*b*z + 1158*b - z - 69 wrt b.\nAnswer: -84*b**2 + 42*b*z + 192*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4 - 16. Suppose -2*t + i = 3*t, -4*w + 26 = 5*t. Let m(o) = o**2 - 7*o + 5. Determine m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 3 (b) 0.4 (c) 15.2268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3397362856.\nAnswer: 2, 101, 4204657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + 52. Let v = 172 + g. Suppose -5*q = -407 - v. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 26*h - 146. What is o(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 23. Calculate the remainder when 14 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*((-24)\/(-6) - 135) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w*z**4 - 18*w*z**3 + 4*w*z**2 + 30*w*z + 3*w - 12*z**4 wrt z.\nAnswer: -48*w*z - 108*w - 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -5, 55\/2, 12, -4, -131?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -363, -448, -533?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3446 (b) -28 (c) -4 (d) 7\/9 (e) 0.4 (f) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Suppose -4*b + 8 = -u*b. Let f = 0 + -1. Sort 2, f, b in descending order.\nAnswer: 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304981 (base 11) to base 2\nAnswer: -1000101000000011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3052 - 2?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2322\/36 + 2*1\/4. Does 11 divide (4524\/d)\/((-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i. Let b = 116 + -114. Solve i = -b*l - l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4839897, -9679887, -14519865, -19359825, -24199761?\nAnswer: -29039667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b + 112*b - 22683 - 28239 = 0. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 165 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6794 + 7432. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*16\/(-6). Suppose 0 = s*m - 8. Is m\/(5\/(130\/4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/30*(2 - (-4)\/((-24)\/21)). Let d be -1 + 2 + 2 - 1. Let v(o) = o - 2*o - 3*o - o**d. Calculate v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -3.5?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*l = -5, -440*a = -443*a + l - 11. What is the second smallest value in -3, -0.3, a, -0.1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-52*u - 1564 + 1564) - 2*u - 2*u + 3*u in the form c*u + f and give c.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/144597 and -143\/348.\nAnswer: 16773252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 4*l, -4*l - 5*b = -7 - 11. Suppose 0 = q + l*q - 57. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 672, 5739, 19552, 46497, 90960, 157327, 249984, 373317?\n\"Answer: 731*s**3 - 13*s**2 - 11*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 244 in descending order.\nAnswer: 244, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 882 = 1488. Suppose z = -p + 6*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from jykwjjjknyyynwyjnk?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Differentiate 3 + 0 - p*h**3 - h**3 with respect to h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 76*d + 76. Let v be m(-39). Let w be 44\/52 + -1 + v\/(-13). Solve 5*k + 10 = -w*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -7*l**4\/24 - 2*l**3 - 666*l**2. Give d(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -999, -3321, -7843, -15297, -26415, -41929?\nAnswer: -62571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeewzitiieizziwz. Give prob of picking 1 z and 3 i.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 173.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9268*b**2*r**3 - 14*b**2*r - 180*b*r**2 wrt r.\nAnswer: -55608*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 27404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 - 7*h - 17. What are the prime factors of i(8)?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 436673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(637) - (sqrt(637) + 0) - sqrt(13))*3 + (sqrt(117) + -4*(sqrt(117)*4 - sqrt(117)))\/(sqrt(27)\/(sqrt(3) + 4*sqrt(3)) - sqrt(9)).\nAnswer: 151*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127852 and 12?\nAnswer: 383556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 574, 1379, -1\/2 in ascending order.\nAnswer: -1\/2, 574, 1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0 + (-1 + 3 + 0)*(-3 - 1 + 3))*(4 - 4 + 3)*(-16 + 19 + 14)*(-1 + 4 - 15*y + 14*y).\nAnswer: -102*y + 306","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 50 = -38. Let s = 67\/3 - o. What is the nearest to s in 1, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.63 + 12.73. Let l = 11 - v. Which is the nearest to 0.1? (a) 4 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Suppose -2*d - 3 = -3*t + 3, 3*d = 2*t - c. Suppose t*j = 2*f + 4, 0 = -j - j + 3*f. Solve 2*s + 2 = -j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 89*c + 42382. Calculate w(-125).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 468*z**2 - 496*z**2 + 2*z + (-5*z + 0*z + 3*z)*(-z - 2*z + z) + (-1 - 4 + 9)*(2*z**2 + 0*z**2 - z**2) + 4*z**2 - 3*z**2 + 0*z**2.\nAnswer: -19*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*a + 631764 - 643736 = 0 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/140 - (9\/4)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 - -188. Which is greater: p or 30\/41?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14193090 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -289 - -1242554.63?\nAnswer: 1242265.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 6*m. Let o be g(-5). Solve -o*b - 45 = -5*z, 6 = -5*b - 4*z - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49055760 divided by 9811152.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 385777943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64350 and 6595875.\nAnswer: 13191750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -10664?\nAnswer: 141\/10664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*z**3 - 160*z**3 - 14*z - 40*z**3 + 126*z**3 to q*z + i + p*z**2 + j*z**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11212045 is divided by 101009?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -717 (b) -0.064 (c) -4\/3 (d) -12\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 24. Calculate o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477706 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*r - 5. What is the remainder when 59 is divided by 2\/(-4) + (-82)\/r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 2*m**3 - 2 + 2 + (0*m + 5*m + 2*m)*(-22*m**2 + 3*m**2 - 28*m**2).\nAnswer: -327*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:25 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*c**2 - 372*c**2 - 281*c**2 + 12*c - 40 wrt c?\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c + 5*k = -4976, -4*c = 2*k - 5004. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -545*w**4 + 35*w**5 + 1089*w**4 - 545*w**4 + 1645*w wrt w.\nAnswer: 700*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 6*u**2 - 7*u + 4. Let w be i(4). Suppose -4*k = -0*k + 16. Let x = 6433 + -6435. Sort w, x, 2, k.\nAnswer: k, x, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 v, and 1 g when four letters picked without replacement from ggveegvveeeeegev.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by -26.\nAnswer: -174\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, -29, -226, -423, -620, -817?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207161*g + 51789*g + 51790*g + 51792*g + 51793*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1576+-211.1988\nAnswer: -1787.1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-4))\/((-4)\/(-594)). Suppose -k = -2*v - v. What is the remainder when v is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(160\/36)*(-229)\/(-687)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3261.768ml to litres.\nAnswer: 3.261768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*2 + sqrt(448))*3 + sqrt(448) + -1 + sqrt(448) + -2 + -4)**2.\nAnswer: -1568*sqrt(7) + 87857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627444 (base 9) to base 2.\nAnswer: 1011011000010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -1\/90*c**6 + 1\/18*c**3 - 1\/12*c**4 + 13 + 1\/20*c**5 + 0*c**2 - 12*c. Let q(a) be the first derivative of n(a). Factor q(y).\nAnswer: -y*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-36)*(-339)\/4068\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*s + 2059 = 98*s + 144*s for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/29))\/m)**(-1\/42))**(-35) assuming m is positive.\nAnswer: m**(-5\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u + 20. Let d = -419 - -419. Solve r - u*g = 16, 3*r + 0*g + 3*g + 27 = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -421 + 421. Suppose -3*f = l - 1510 - 2802, p = 4*l - 4. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3 + 15469*b**2 + 278014 with respect to b.\nAnswer: -9*b**2 + 30938*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2891 + 1569. Let o = -940 - g. List the prime factors of o.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11538\/1631 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-118)\/177)\/(23\/21 + -1). Let x(c) = -c**3 - 7*c**2 + c + 9. Let f be x(i). Solve 2*g - f = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 742716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 - -5) - (-5 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64232076 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1) + (-6244)\/(-28). Let l = b + -187. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168461417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048179 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, 10644, 2 in decreasing order.\nAnswer: 10644, 2, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/k**12*k*k*k\/k**(1\/2)*(k**4)**(3\/2) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3, -0.1, -0.08 in descending order.\nAnswer: 3, -0.08, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaffcfa. Give prob of picking 3 a and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309 + 313. Let w be (35\/(-45) - (-2)\/(-9)) + -2. Let f = 0.2 - 0.1. Put s, w, -1, f in ascending order.\nAnswer: w, -1, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19666 is divided by 17750?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Suppose 8 = -x + 2*u, x - 2*x - 18 = -r*u. Suppose 52 - 12 = x*j. Calculate the remainder when 58 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-714)\/68)\/(3\/(-44)). Differentiate -154*i**2 + 214 + y*i**2 + 98*i**4 + 3*i**4 wrt i.\nAnswer: 404*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79848 at most as big as 239540\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3\/4*m**2 + 0*m - 3\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = 18. Suppose -16*d = 34 + 94. Let r be t\/d - 3\/4. Solve 0 = a + 2*h + 6, -a - 2*h - 3*h - 12 = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 46. Let j be q(-11). Let x be ((-16)\/12)\/j*6\/1. Solve 3 = 5*w + 3*d - 11, 24 = 4*w - x*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-2)\/6)\/((-2 - -5)\/63).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 89, -3 in decreasing order.\nAnswer: 89, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.32 and -52.94.\nAnswer: -53.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7401, 3, 11, 572 in ascending order.\nAnswer: 3, 11, 572, 7401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 6. Let x be -3 - ((-8)\/(-3))\/(12\/(-18)). Let t(q) = -28*q + 180. Let h(a) = -13*a + 83. Let u(m) = 13*h(m) - 6*t(m). Determine x*l(r) - 5*u(r).\nAnswer: 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 16*r = -15. Suppose r*x + 60 - 55 = 0. Which is the closest to 1? (a) -0.06 (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/17)*c**(-3\/10))**31 assuming c is positive.\nAnswer: c**(-2201\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -2) - (-9 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36*(-6)\/8)\/((-10)\/4*(-606)\/(-1515))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 220053 (base 6) to base 8\nAnswer: 43401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 13*j**2 + 15*j + 12. Let u be k(12). Calculate the highest common factor of 48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249843, 253607, 257371?\nAnswer: 261135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 83*j**3\/3 - j**2\/2 - 54. Find the second derivative of o(t) wrt t.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 - 200 - 52*u + 387)*(-2*u**2 + 2*u**4 + 2*u**2) + 2*u**2 + 2*u**5 - 2*u - 2*u**2.\nAnswer: -102*u**5 + 2*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/96)\/(24\/(-16)). Suppose -246 - 495 = 3*o. Let z = o + 1726\/7. What is the closest to v in 0.1, z, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 7}. Give prob of sequence qqtq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -151. Let i be (-8)\/36 + k\/(-9). What is the units digit of 66\/i + (-2)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 108, 2\/9, -0.16, 1\/5, 0.8, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37583090 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - i**4 - 37 + 3*i**4 - i**4 - i - 40 in the form m*i**4 + g*i + b*i**3 + p*i**2 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 3*g + 0*g)*(0 + 0 + g) - 2*g + 2*g - g**2 - g**2 + 1 - 4*g**2 + 3*g**2 to the form y + b*g + q*g**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 5. What is l(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4611605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 + 7*b + 2. What is the tens digit of z(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (776\/(-14) - -1) + (-96)\/(-224). Let w be (-7 - x\/12)*(-16)\/5. Suppose -81 = w*g - 2537. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.219013733 - 23.219. Round h to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63723, -127345, -190967?\nAnswer: -254589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = 3*t, 5*n = -3*t + 975. Suppose -3*o = -0*o - 3*l - 306, 2*o - n = -l. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 245 and 5.87037405.\nAnswer: 250.87037405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/(-15*(-2)\/(-6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 1. Let s be h(2). Suppose s*g = -0*g + 15. Let t(b) = b**3 - b**2 + 10. Let d be t(0). Solve 4*p + 2*f - d = 0, -23 = -4*p - g*f + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8884.\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 - 137*o**4 - 3328*o**3 - 31172*o**2 - 119872*o - 139520 = 0. Calculate o.\nAnswer: -109, -10, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 9. Let r(b) be the second derivative of b**3\/6 - 13*b**2\/2 + b. Let u(z) = 7*m(z) - 5*r(z). Calculate the remainder when 46 is divided by u(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021210 + 121?\nAnswer: 2022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1859*f - 4. Let w(y) = 63225*y - 135. Calculate -135*g(v) + 4*w(v).\nAnswer: 1935*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5499046.\nAnswer: 2, 7, 101, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 10. Let a(z) = -26*z - 49. Let r(m) = -2*a(m) - 11*j(m). Calculate the lowest common multiple of 0 + 3 + 4 + -1 and r(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 24. Let i = -9 + 5. Which is the closest to 1? (a) i (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, t: 1, o: 4, m: 2}. What is prob of sequence foto?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*2 - (2*sqrt(22))\/sqrt(11).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {n: 5, a: 11, v: 1, w: 3}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c9 - -314?\nAnswer: c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3 = 3*v, 0 = -2*v + v - 3*x + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4816 + -4797. Solve -5*p - 3*z + 4 = -5, 5*p = 2*z + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4853189 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - ((sqrt(84)*2 - sqrt(84))\/sqrt(6) - sqrt(14)))\/(sqrt(7) + -6*(sqrt(7) + (sqrt(7) - 1*sqrt(7) - sqrt(7) - sqrt(7) - sqrt(7)))).\nAnswer: sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2*r + 77*r**2 - 5*r - 74*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5011, -10019, -15027?\nAnswer: -20035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.2556 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(612).\nAnswer: 2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3. Let f be 1 + (1 - -2) + 1. Let m be f - (-171)\/(-36) - 7\/(-4). Let w(h) = h - 16. Calculate m*w(y) + 11*n(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 8. Let f = 9 + n. Suppose -3*t = f*t - 5. Let s(m) = 10*m**2. Give s(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.9835 + 18.\nAnswer: 1.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 + 2*h + 4. Suppose 0 = -2*n + 14 + 2. Let s(c) = 2*c**2 - c**3 + 3*c + n + 3*c**2 - 3. Let v = -96821 - -96826. Give v*y(k) - 4*s(k).\nAnswer: 4*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13427*i - 623 + 1248 - 624 + 4114*i to the form b + d*i and give d.\nAnswer: -9313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648200 = -j + 1916442. Let o = j + -22818845\/18. Let b = o - 532. What is the common denominator of 89\/18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76070, -68888, -61706, -54524?\n\"Answer: 7182*y - 83252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-29 - (-10 + -45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {z: 1, r: 3, y: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/3 - (-4092)\/(-330).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37100691*k**4 + 65633185.\nAnswer: 148402764*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 - 651704*a**2 + 2606864*a - 2606880 = 0. Calculate a.\nAnswer: -162930, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*(sqrt(5) + sqrt(80)*5) - (sqrt(5)*1*-3 - 5*sqrt(20))))**2.\nAnswer: -904*sqrt(5) + 63861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 351420 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72210133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*b + 5, 2*b - 3*b - 3*q = 4. Is (b\/(-10))\/(2\/(-214012)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3)\/(-1 + 7). Let z = 407 + -406.985. Sort z, q, 5, -3 in decreasing order.\nAnswer: 5, z, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 - 11364*c**2 + 11364*c**2 + 0*c**4 - 4*c**3 + 2 + 3*c**4 + 116*c to u*c**3 + o + d*c + k*c**2 + s*c**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15038319 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 + j**2 - 6*j + 15. Let h be w(3). Suppose -8*m - h + 184 = 0. Solve 0 = -m*b - 0 - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(24\/16)\/3*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 588415, -17, -2 in decreasing order.\nAnswer: 588415, 2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-42)\/4*(-52)\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 3*t.\nAnswer: 3*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673\/7 + 96. Is -5 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1288 and 1289449.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4*3*-1. Let o = -2.95 + 3. Which is the closest to 0.1? (a) o (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 4*l - 19. Does 34 divide p(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1457, 1456, 1455, 1454, 1453?\n\"Answer: -t + 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 17. Let v be (-119)\/(-745)*n\/63. Let l = 4\/447 - v. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.83 and -6.26.\nAnswer: 55.2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4266)\/(-36))\/(-79)*5\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382376, -382377, -382378, -382379, -382380, -382381?\nAnswer: -382382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08914 + 4.91086. Which is the closest to -0.7? (a) n (b) -0.067 (c) -0.2 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -6, 1, 0, 4 in decreasing order.\nAnswer: 4, 1, 0, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2482 - 2491 + 4976 - 2*z. Let q(y) = -2*y + 4. Let u be q(-7). Suppose 0 = -0*c - 3*c - u. Calculate k(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 24. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - f**5 + 2*f**5 + (-2 + 2 + f**2)*(4 - 4 + 2*f**3) + f**5 + 0*f**5 + 0*f**5 + 14*f**5 + 2*f**5 - 14202*f**2 - 14*f**5 - 38906*f**2.\nAnswer: 7*f**5 - 53108*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5473105 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9765 and 1324785.\nAnswer: 3974355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:02 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-132)*(-24)\/(-525)*5\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**6\/12 + 11*h**4\/8 + 7*h**3\/2 + 10*h. Let s(t) be the second derivative of b(t). What is the derivative of s(p) wrt p?\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -6 (c) 3\/148 (d) -2 (e) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umu when three letters picked without replacement from {m: 3, e: 2, u: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(77) + (sqrt(77) - -1*(sqrt(77) - sqrt(77)*-2))))\/((sqrt(396)\/(sqrt(9) - 1*sqrt(9) - sqrt(9)))\/((sqrt(36) - 2*sqrt(36))\/sqrt(9))).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -0.37 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 227 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18367273 to the nearest integer?\nAnswer: 4286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 13*d = 33. Let x(v) = 3*v**3 - v**2 - 2*v - 4. Let p(f) = -2*f**3 + f**2 + 2*f + 3. What is d*x(a) - 4*p(a)?\nAnswer: -a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 22. Let y(f) = -5*f - 36. Calculate y(w(l)).\nAnswer: -10*l - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 117*d**2 + 4*d. Let j(k) = 151*k. Calculate v(j(w)).\nAnswer: 2667717*w**2 + 604*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.5? (a) 2\/7 (b) 3\/7 (c) 3 (d) -3\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -48*b + 32. Give x(5).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulflulul. What is prob of sequence ulfu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*o - 57 = -367, 0 = -2*v + o - 154. Is (v\/(-6))\/(14\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by 50.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 29. Sort 12, 5, b in increasing order.\nAnswer: b, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from bboaaaablabrkrra?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 501.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 6*c + 55.\nAnswer: -(c - 5)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1089, 4279, 9595, 17037, 26605?\n\"Answer: 1063*w**2 + w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78946 + 79103 + 2*j - 158049.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and 19\/18999571.\nAnswer: 37999142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.45 + 2.21. Let q = 4.14 + d. Let u = -7 - -10. Put 4\/3, q, u in decreasing order.\nAnswer: u, 4\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72, 152, 232, 312, 392, 472?\n\"Answer: 80*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**4 - 331*d**3 + 27*d**2 - 518*d - 11. Let s(n) = n**3 - 9*n**2 + 3. Let a(z) = -m(z) - 3*s(z). What is the second derivative of a(f) wrt f?\nAnswer: -12*f**2 + 1968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/20 + 5*c**4\/12 - c**3\/6 - 17*c**2\/2 + 243*c + 2. What is b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.2, -0.4, -18, 4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/945 and -57\/279377.\nAnswer: 37715895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 + 7 = -3*w, 5*o + 3*w = 50. Let h(i) = -i**2 - 30*i - 33. Let k be h(-29). Put o, k, 10, 1 in descending order.\nAnswer: 10, o, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 118671683 - 118671683.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 471.\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162722860*z**6 + 202904*z**2 + 217*z wrt z?\nAnswer: -19526743200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335933 = -3705*o - 12298*o - 640250 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529673974?\nAnswer: 2, 17, 73, 616307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - (7 - 40)) + -18 + 0 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2\/(-6))\/(23 + -28)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 36 = -4*g. What is the remainder when 75 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*m**2 + 9*m**6 - 1 - 2 + 3 wrt m?\nAnswer: 1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/((sqrt(36)\/sqrt(2))\/sqrt(3)) + -1*sqrt(539)*2)*4)**2.\nAnswer: 29744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9399 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 478*i - 1530. Let u(b) = 12. Let c(d) = r(d) + 6*u(d). Differentiate c(p) wrt p.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3687814, -7375643, -11063476, -14751313, -18439154, -22126999?\n\"Answer: -2*a**2 - 3687823*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.94517 + 3.96. What is u rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfffsssssfsfsfssffff. Give prob of sequence sfs.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -6*n**3 + 128*n**2 - 8*n - 11. Let l be q(7). Solve -3*t - l*x + 2*x + 5 = 0, 5*t = -4*x + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1436, -5812, -13126, -23378?\n\"Answer: -1469*o**2 + 31*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 4:52 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2044, -16622, -56176, -133186, -260132, -449494?\nAnswer: -713752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1517\/(-492))\/37*-8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f**4 + 0*f**5 + 0*f + 6 + 0*f**3 - 3*f**2 - 1\/3*f**6. What is the second derivative of j(z) wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 20*i = 0. Let m(p) be the third derivative of 1\/6*p**4 - 1\/12*p**5 + 0 + 0*p - 11*p**2 + i*p**3. Find the second derivative of m(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42\/1739 - 916789\/13912. Let u = h - -66. Find v, given that 0 + u*v**3 - 1\/8*v**2 + 0*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22d + -3d9d?\nAnswer: -41cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 14\/75, 0.09, -4, 1, -2, 37.4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 6*z**2 - 3*z. Let u(q) be the first derivative of q**4\/4 - 2*q**3 - q**2 - q + 3. Let b(y) = 5*d(y) - 6*u(y). Is 9 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-5)*65\/26. Suppose g = -7*k + 350. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.3, -1\/6, -2 in descending order.\nAnswer: 0.3, -1\/6, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 22*l - 10*l - 17*l.\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.946 - -0.054. Let b = -0.2 + 0. Let p = b + -0.8. Put -3, u, p in increasing order.\nAnswer: -3, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1405, 333, 74, 3 in descending order.\nAnswer: 333, 74, 3, -1405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 10*p + 2*v - 422 = 21*p, 109 = -5*p + 4*v for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.18747 times 23\nAnswer: 4.31181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368390 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: Let w(c) = c**3 - 4*c**2 - 7*c + 6. Suppose 0 = z - 5*z + 20. Give w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {f: 2, z: 1, g: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 9) + (-3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, v: 3, u: 1}. Give prob of picking 2 g and 1 u.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.55 + 4.51. What is g rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155049, 155063, 155095, 155151, 155237, 155359?\nAnswer: 155523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128, -151, 64, 637, 1688, 3337, 5704?\n\"Answer: 20*h**3 - h**2 - 160*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - t**2 + 29. What are the prime factors of o(7)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-10)\/100*(-15)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1668 + 1663. Which is the biggest value? (a) x (b) 11 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -3) + (2 - (-7 - -15)) - (-77 + 75)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000 - -10020202?\nAnswer: 10200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 6*u. Let r be b(-5). Let f be (704\/(-40) + 17)\/((-18)\/20). What is the closest to f in -2\/7, r, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7007.95833 - 7008. What is w rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 4, 0 in descending order.\nAnswer: 27, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 60*m**2 + 591*m + 1900. Determine j(49).\nAnswer: 4448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1675498.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 22 = -2*u, 4*u - p - 24 = 0. Let m = 11 - u. Suppose -k = -2*k + 2. Solve -k*t - m = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/2 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -10.2. Let f = 10.80000162 + c. What is f rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (6 + -5 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 526060 and 870.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -736*m + 133 wrt m.\nAnswer: -736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -11, 3, -5, -90 in descending order.\nAnswer: 3, -3, -5, -11, -26, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/100 and 9\/(-144)*212 - -4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12*-1)\/(6\/(-45)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -44335?\nAnswer: -44346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 28 = 5*r + 21, -2*g - 2*r = -62. Let n(p) = p**2 + 11*p - 446. Let d be n(28). Calculate the highest common divisor of g and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26945155356 - 7\nAnswer: 26945155349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 5. Let u be k(11). Let m be (u\/(-24) + 2 + -2)*-44. Suppose -m*d = -6*d - 75. Calculate the greatest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 6 = 18. Suppose 0 = 3*h - f - 0, -3*h + 10 = -q. Let w be (-12)\/q + (-10)\/175*-5. Solve -5*i + w*c = -11, -4*i = 5*c - c + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**2 - 108*m - 490. Let t be q(-11). What is the greatest common divisor of t and 9021?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 13*o + 0*o**3 + o**4 + 0*o**3 + 3*o + 4 + o**2 to the form q*o**3 + d*o**2 + u*o + a + s*o**4 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73969520?\nAnswer: 2, 5, 701, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 10 = t + 2*b, 2*b + 6 = 0. What are the prime factors of 1636\/((-5)\/((-10)\/t))?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00229 minus 4024948335?\nAnswer: -4024948335.00229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 66 - 5*q + 21*q.\nAnswer: 16*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2221 and 0.013187?\nAnswer: -29.288327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(900)*-6 - sqrt(900))\/(sqrt(12) + (-1*sqrt(1728) - sqrt(12)) + -3*sqrt(36)\/sqrt(3)).\nAnswer: -23*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + (-1 - 1) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 + 2*q - 5. Let a be 3 - 3*(-10)\/15. Let t(d) be the second derivative of d**4\/2 - d**3\/3 + 2*d**2 + 9*d + 16. Give a*t(p) + 4*j(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 230706 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 152*f - 2431. Let j be p(16). Solve -15*d + 16*d + j = -y, 3*y = -4*d - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42a7 (base 12) to base 2.\nAnswer: 1110010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 - 4*j + 2. Let n(a) = -2*a**3 - 11*a**2 - 9*a + 5. Let y = -41 - -42. Suppose -9*z - y = 80. Calculate z*o(p) + 4*n(p).\nAnswer: p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 - 36*q**2 + q + 14. Let i be m(-12). Let k be i*(16\/6 - 4\/6). What is the nearest to -4\/9 in k, -2\/15, 1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*t**6 - 12*t**5 - 307*t**2 wrt t.\nAnswer: -1440*t**3 - 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/9 (c) -1.72 (d) -0.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(364) - 2*sqrt(364)*-2) + sqrt(364))\/(sqrt(21)\/(2*sqrt(3)) + sqrt(7) - sqrt(7)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-386)\/(-55) + 161\/(-23)))\/(179 + -180)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299.5 - 298. Let y = -2.5 - i. Sort -0.3, y, -7, -1\/3 in ascending order.\nAnswer: -7, y, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 11*j**2 - 13. Let k(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 6*p + 48. Determine 13*k(m) + 6*u(m).\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 18*q - 988 = 31*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1336 or -183226\/137?\nAnswer: -1336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let j(f) = f**2 - 8*f. Let h be j(8). Let q(o) = -7*o + 3 + o**z + 1 + h. What is q(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 6*u**3 - 3*u**4 + 2*u**4)*(65*u - 1 + 90*u - 179*u).\nAnswer: 24*u**5 + 97*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1291*m + 14 - 16 + 530*m.\nAnswer: 1821*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 12:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -496, -495, -494, -493, -492?\n\"Answer: t - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 738 (b) 7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2. Suppose 9*z - 3*z = -5*z. Let v(b) be the second derivative of 4*b + z*b**2 + 0 - 1\/3*b**3. Give u(v(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1405 + 1429. Solve -z*t - 12 = -18*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36075 and 43290.\nAnswer: 216450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a**6*a)\/a)**(-2\/119))**(-1\/10))**(-2\/61))**43 assuming a is positive.\nAnswer: a**(-86\/5185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/270*((-247)\/234 - (-6)\/27)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u. Let o(y) be the third derivative of y**3\/3 + 8*y**2. Determine -i(m) - o(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -22*u + 1111. Let n(x) = -18*x + 1111. Determine -5*c(h) + 6*n(h).\nAnswer: 2*h + 1111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/292488 and 121\/144.\nAnswer: 1754928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = 3*r + 4, 4*t + 12 = -2*r. Suppose r*a - 14 = a. Let h = a + -38\/3. What is the closest to 1\/3 in 3, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*m + 14, 0 = -3695*y + 3703*y + 5*m + 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-8\/7))\/p)\/(p*p**(-1\/7)))**1\/((p**3\/p)\/p**(2\/11)*(p*p**2)**(2\/19)) assuming p is positive.\nAnswer: p**(-1241\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 less than -10125727633?\nAnswer: -10125727549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4488 = 4470. Let x(n) = -4*n**2 + 3. Let g(p) be the first derivative of -3*p**3 + 7*p + 2. What is q*g(f) + 7*x(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -13.65722229217?\nAnswer: -13.95722229217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15234 (base 6) to base 16.\nAnswer: -9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 807935833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 697088 by -896.\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 137*q - 3 - 131*q + 5.\nAnswer: 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1339182, 1339197, 1339226, 1339275, 1339350?\n\"Answer: b**3 + b**2 + 5*b + 1339175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5\/4 + 309*y**4\/4 + 6765*y**3\/4 - 63525*y**2\/4 = 0.\nAnswer: -55, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 4, a: 2}. Give prob of picking 2 m and 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 18*d + 1. Let x(o) = -56*o - 4. Calculate 16*r(h) + 5*x(h).\nAnswer: 8*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957583 - -0.94?\nAnswer: 2957583.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 396*l**2 - 2*l + 53. Let r(z) = -33*z. What is r(y(n))?\nAnswer: -13068*n**2 + 66*n - 1749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r*u**2 + 2*r*u - 2*r + 11117514*u**4 - 7*u - 18063 wrt u.\nAnswer: -2*r + 133410168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/63)\/((-83)\/(-747))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) - ((sqrt(30)*-4 - sqrt(30))\/sqrt(6) - sqrt(5))) - sqrt(22)\/((sqrt(4) - (sqrt(4) - sqrt(16)))\/sqrt(2)).\nAnswer: -5*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from aaiaizaaaaaaiaiia.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/168*21*10\/(-510)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2 - 59474*c + 884289169 = 0.\nAnswer: 29737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34032499919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -378 + 1019. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -35.9. Let r = p + -7. Do r and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701698 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50590 - 376?\nAnswer: 50214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z - 15, 4*g + 5*z = -13. What are the prime factors of 12\/g*-1 + 52?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**13*t*t\/(t*t**(-1\/10)\/t*t*t)*t*(t\/(((t\/t**(2\/3))\/t*t)\/t*t))\/(t\/(t\/(t*(t\/(t**2*t))\/t))*t))**(-2))**(-39) assuming t is positive.\nAnswer: t**(6149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.146, -6\/11, -0.09, -2 in increasing order.\nAnswer: -2, -6\/11, -0.09, 0.146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 73 + 10 = 0. Suppose -4*k = -i + 25. Sort 4, -2, k.\nAnswer: -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8719 + -5034. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1827340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*b - 2*b - 31 = 0, -5*n - 78 = -3*b. Let p = n + 39. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722645?\nAnswer: 5, 7, 11, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257407541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -73. Let q(a) = a**2 - a + 9. Is q(p) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005401304 rounded to 6 decimal places?\nAnswer: -0.005401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -24*t**3 + 2*t**2. Let f be n(2). Let w(u) = -u**2 - 20*u - 3. Let d be w(-20). What are the prime factors of (d\/2)\/(6\/f)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558833731?\nAnswer: 41, 13630091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1945? (a) 0 (b) 5 (c) -2.1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 847 divided by 3.\nAnswer: 847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.545.\nAnswer: -1.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k = 71*k + 386 + 76 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200302112 + -11?\nAnswer: -1200302123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f**2 - 3. Let c(s) be the first derivative of -5*s**3\/3 + 742. Determine b(c(j)).\nAnswer: -300*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 1, 18 in descending order.\nAnswer: 18, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1792) - sqrt(1792))*3)\/((sqrt(64)*-1 - sqrt(4)) + sqrt(640)\/sqrt(10)).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*c**3 + 356 + 341 - 693.\nAnswer: 108*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 - y**2 + 15*y**3 + y**2.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 26, -1 in increasing order.\nAnswer: -5, -2, -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 18d?\nAnswer: 18f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2. Let f(j) = 56*j + 8. Let c(b) = -37*b - 5. Let h(w) = 8*c(w) + 5*f(w). What is r(h(g))?\nAnswer: -768*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-26)\/(-13))*(-4)\/28. Put 2\/7, x, -2, 1.5 in descending order.\nAnswer: 1.5, 2\/7, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -38. Let m = h - -51. Calculate the highest common factor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 13*t**2 + 7*t - 1. Let w be f(-7). Suppose 0 = -z - m + 109, 18*m - 21*m - 218 = -2*z. Suppose z*s = 111*s - w. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -18.5. Which is the biggest value? (a) 4\/7 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:01 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 4. Let q(h) be the second derivative of -5*h**3\/6 + 122*h. What is k(q(a))?\nAnswer: -50*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*-2*sqrt(304) + -1 + (sqrt(304) - (-2 + sqrt(304) - sqrt(304))) + -1 + 5)**2.\nAnswer: 440*sqrt(19) + 36811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z. Let q(h) = 16*h**2. What is q(t(a))?\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 3*n**2 - 1. Suppose -60 = -4*r - r. Suppose 4*d = 2*k - 3*k - 14, -4*k = -d - r. Let p be w(k). Sort 1, p, 2 in increasing order.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -1, -3, 24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*i**5 + 29*i**4*k + 2*i**2 - 44536*i*k wrt i?\nAnswer: 2020*i**3 + 348*i**2*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 9*b - 2. Let m(d) = -9*d - 54. Let t be 2 + 21\/9 + (-1)\/3. Suppose 0 = -u + 3*a - 1, t*a = -7 - 1. Let y be m(u). What is p(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, h: 3}. What is prob of sequence hzz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 21*w + 62. Let m be g(-2). Let n(l) = l**3 - 7*l**2 + 6*l + 1. Let f be n(6). List the prime factors of 8\/(m\/15 - f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 24*q + 11. Let l(z) = z**2 - 8*z - 4. Let r(a) = 11*l(a) + 4*o(a). Find the second derivative of r(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 528818.9ug?\nAnswer: 528.8189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72112405?\nAnswer: 5, 14422481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in -4\/3, -3\/4, -8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.6 - -6.6. Suppose 0 = -2*j + 5 - 5. Put d, j, 3 in descending order.\nAnswer: 3, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(204) - sqrt(204)))\/(sqrt(1200) - -2*sqrt(1200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:24 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*k - 70*k = -g - 33, -4*k - 6*g + 26 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23041771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t - 3 + 2 - 4. Let j(v) = 6*v - 6. Let x be 2\/((-80)\/(-200) - 0\/((-2)\/(-2))). Give x*j(y) - 6*o(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 2193458887.\nAnswer: 2193458886.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 103906.8 millimeters?\nAnswer: 0.1039068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78642.832 rounded to the nearest 100?\nAnswer: 78600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**2*t**3 - 6*h**2 + h*t**3 + 5*h*t + 46*t**3 - 2*t**2 - 6*t wrt t.\nAnswer: -54*h**2 + 6*h + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 25 = 0, -5*t + 244207965 = 4*z - 180608350. Suppose 12*k = 7*k + z. Suppose 3*g - k = 38459183. Round g to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*q - 228*q + 115*q - 55*q**2 - 271*q**2.\nAnswer: -326*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16001268 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275200 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 11*y**2 - 10*y - 36. Determine t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/308*11)\/((-1)\/(-4)*1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let m(u) = -893*u**2 - 265*u**2 - 20*u**2. What is k(m(r))?\nAnswer: 2356*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -546, -545, -544?\n\"Answer: r - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*p - 140*p + 1916 + 23*p + 34*p wrt p.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237107 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/9, -15, 4, -1, 0.5825, 1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/150 + 3*w**5\/100 - w**4\/60 - w**3\/10 + w**2\/5 + 2*w + 17. Factor d(y).\nAnswer: -(y - 2)*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = 110 - 726. Suppose -c + 12 = -0*c. Calculate the least common multiple of c and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474 a factor of 23037888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*2)\/sqrt(12))\/sqrt(128) - (-1 + sqrt(125) + -1 + 3*(sqrt(125) + -2)**2).\nAnswer: -385 + 111*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 2664405.\nAnswer: -8\/2664405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 0*i - 29 = -4*v - 6*v, 10633*v - 49 = 3*i + 10628*v for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 15.16, -3\/8, -0.14 in increasing order.\nAnswer: -118, -3\/8, -0.14, 15.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3)\/(-6) + (-30)\/(-36).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 - 24*x**4 - 2 + 20627*x**3 + x - 20625*x**3 + 0*x as v*x**4 + f*x**3 + w*x + u + q*x**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c6c + -3d?\nAnswer: -6caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/5 + 2788*q**2\/5 + 506044*q\/5 + 1395372.\nAnswer: 4*(q + 15)*(q + 341)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 + 36 = 0. Suppose -5*m = 2*i - y*i - 138, -3*m + 93 = i. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 90210*t**2 - 721872*t = 0. Calculate t.\nAnswer: -30078, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*4*(-70)\/168?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 + -33 - -9) + -32 + 11 + 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 8*a**2 - 5*a + 5. Suppose b + b = -8, -16 = 4*o - b. Does 19 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3 (c) 2\/53 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 23*k**3 + 2*k**2 - 3*k + 2. Let p = -30 + 31. Let h be x(p). Calculate the greatest common factor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 122, -204, -740, -1480, -2418, -3548?\n\"Answer: p**3 - 111*p**2 + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, o: 5, a: 1, z: 1}. What is prob of picking 1 o and 1 a?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 10*g - 5. Let b be r(-3). Suppose 0 = b*u + u - 940. Sort -4, -2, u in descending order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/32961)\/((-167)\/334). Is 1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -269. Suppose -3 = 3*p - h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2 - 184\/(-30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 16958596?\nAnswer: -16958595.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2673403\/7 - 382853. Let r = -940 - q. What is the common denominator of (-6)\/10 - 474\/110 and r?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43803*s = -43778*s - 7275. Solve 301*r - s*r = 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*q + 198, -n = -0*q + 2*q - 79. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51159359\/595 - 85982. What is the common denominator of m and 71\/4?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179156274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = 5*o - 7, 0 = 3*h + o - 23. Let n = -8 + 44. Calculate the highest common divisor of n and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1061 times 4\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95958 and 234564?\nAnswer: 2111076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35453 - 35459. Let k(j) = j**2. Let f(v) = 3*v**2 + 4*v**2 - 2*v**2. Give l*k(m) + f(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8882112 and 56580141.\nAnswer: 47698029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 - 348*r**2\/7 - 3006*r\/7 - 5940\/7.\nAnswer: -2*(r + 3)*(r + 6)*(r + 165)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14930 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35123 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let r = 0 + v. Let l = -25 - -20. Sort r, 3, l in descending order.\nAnswer: r, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*d + 220*d - 78*d - 74*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 13 + -25 + 20. Calculate the greatest common factor of 776 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146448088 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -22. Put 2\/5, j, 0.3 in increasing order.\nAnswer: j, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*-9*(-91)\/19188*4\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 62*t. Let f(i) = -1 + 30*i + 1 + 21*i. Calculate f(w(y)).\nAnswer: 3162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 484*u - 515*u + 496. Solve 0 = -3*s + m - u, 2*m - 17 = 4*s + 5*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1. Let u(b) = -2*b**2 + 3*b - 3. Let j(q) = 2*f(q) + u(q). Calculate j(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/10*(-10)\/3. Solve 0 = -5*m + 2*m - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1007734569 from 4.\nAnswer: 1007734573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1214 * 23.197\nAnswer: -28161.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 823298265 to the power of 1\/2, to the nearest integer?\nAnswer: 28693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/108*(-42)\/(-28)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4*h + 11*h)*(0*h**2 - 3*h**2 + h**2)*(1 + 2*h - 2 + 3).\nAnswer: -20*h**4 - 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 924, 1797, 2672, 3549?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1*-1)\/((-118)\/295)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5691626 * -4.\nAnswer: 22766504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g - 6*g + 9*g. Let z(f) = 3*f. What is z(p(j))?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94.4 - -94. What is the second biggest value in 5, z, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*p + 537*p = 255*p - 31616 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 4*w + 6. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19cb766 (base 14) in base 7?\nAnswer: 214221156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, l: 1, r: 1, q: 1}. Give prob of picking 1 r, 1 b, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 61, 4, 0.1, -10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -52 + 46 + (3 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*q + 859 = -5115 - 1319 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39561246 divided by -6.\nAnswer: -6593541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -13*k**2\/2 + 2. Let s(p) = 2*p. Give s(v(q)).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let x(p) = 3*p - 26 + 16 - 5*p. Let r(n) = n**2 + 11*n + 50. Let o(m) = 2*r(m) + 11*x(m). Give o(y(d)).\nAnswer: 8*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - m**4 + 4*m**3)*((2 - 2 - 2)*(2 + 0 - 4) - 4 + 9 + 4).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, 1 y, and 1 j when four letters picked without replacement from ygvgvbrgbrjjygr.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 2*o**3 - 3*o**2 + (5 - 2 - 2)*(2*o**3 - 3*o + 3*o) + 217*o**3 + 126*o**3 + 337*o**3.\nAnswer: 684*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/12)\/((-1)\/(-4)). Let s(v) = 0*v**2 - v**2 - a*v - 11 + 2. Let q be s(-10). Let n(x) = 10*x**2 + x - 1. Give n(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 + 2*m + 4. Let u be k(3). Suppose 4*j = 7*j + 36. Let t = -7 - j. Calculate the greatest common factor of u and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2 - 106*o + 93*o - 2. Let b(d) = -39*d - 13. Calculate 4*b(p) - 13*t(p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let i(o) = 1 - 1221*o + 607*o + 613*o. Let x(c) = 2*c**2 + 5*c - 7. Calculate t*x(q) + 5*i(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 11*n + 10. Let p be b(-10). Suppose -x - w + 4 = p, 0*x + 4*x + w - 13 = 0. What is the units digit of 1\/(x*(-2)\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j**2 - 1367*j - 60. Let l(d) = -49*d**2 - 2732*d - 110. Give 6*l(b) - 11*v(b).\nAnswer: -8*b**2 - 1355*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, 1 p, and 1 w when four letters picked without replacement from {p: 1, k: 1, w: 1, l: 2, y: 2, d: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g + 31*g + 44 = -5*t, g + 2*g = 15*t + 24 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by -39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/(-34)*14\/(-3). Let v = 120 - 85. What is the greatest common divisor of v and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiigiiii. What is prob of picking 2 i and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 33 = -2*j, -3*u + 37*j = 33*j - 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-1)*-1)\/((419400\/200)\/233)?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45349?\nAnswer: 101, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -800 + 31689*o - 265 - 749 + o**2 - 31689*o in the form c*o**2 + n + a*o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52307 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15767 - 14578 + 0*d**2 - d**2 to s*d**2 + q + n*d and give q.\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503062*k**3 + 0*k + 0*k + 512162*k**3.\nAnswer: 9100*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/126)\/((-144)\/(-42) - 4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/16 and -35\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 6 + 1\/2*s**3 + 1\/12*s**4 - 2*s + 1\/2*s**2. Let r(p) be the first derivative of w(p). What is r(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 32 = -g, -3*f + 5*f - 2*g = -28. Let w = f - -16. Suppose w*j - 6*j = -108000. Round j to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:07 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10145917 or -10145915?\nAnswer: -10145917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqyj when four letters picked without replacement from djcyqqydyjqcccjc?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7644, -18934, -30200, -41442?\n\"Answer: 12*f**2 - 11326*f + 3670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3125630 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 59*s + 220 + 425 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -33.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3)*189\/63. Solve -4*m - 1 = -4*s + 35, -4*m + w*s - 32 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1562, -1563, -1564?\n\"Answer: -h - 1561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (35*90\/840)\/(35\/336)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 173, 2\/49, 0.001345?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 6 - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f**2. Let o(a) = -4*a + 954. Determine o(b(l)).\nAnswer: 48*l**2 + 954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -3 + (-6)\/(-3) + (-51209)\/(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-25)*(0 - 220). Let s be n\/(-20)*(-5)\/2. Let l be 72\/s - 6\/33. Sort 3, l, 5.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -26. Let n(c) = -c**2 - 10*c - 4. Suppose 3 + 38 = -4*h + 5*x, 2*h = x - 19. What is the remainder when j is divided by n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/25)\/t)*t)\/(t*t*t**32*t) assuming t is positive.\nAnswer: t**(-798\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.66276 micrograms?\nAnswer: 0.00000000366276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 17*w - 29*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8 - (-2)\/(-8))\/1. Does s = 10\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzlzzzzclzlz. Give prob of picking 1 l, 1 z, and 1 c.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5123329+1.6\nAnswer: -5123327.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9835 - 0.0165. Is 1.42 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 19*m - 11*m - 55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720094 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**4\/24 + o**3\/6 + 5*o**2. Let z(l) = -l**2 + 5*l + 3. Let b be z(6). Let h(v) = -2*v**2 - 4*v + 3. Give b*y(q) + h(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4116.4*-0.046\nAnswer: -189.3544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**8\/16 - 7*k**4\/6 + 34*k**2. What is the second derivative of u(y) wrt y?\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 21*z - 728. Find the first derivative of 7*i**2 + 2*i**2 - 4*i + i**2 - 16*i**2 + z - 2*i**2 wrt i.\nAnswer: -16*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.45, -0.63, -3\/5, 3, 5?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/4)\/(-15 - -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2932135704.\nAnswer: 2, 3, 863, 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 7*u + k + 13 = 0, -k - 18 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-3)*((-16)\/5)\/8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5199285 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/5 + 1021*u**3\/5 + 258039*u**2\/5 - 263169*u = 0.\nAnswer: -513, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*-2*sqrt(125))**2 - (sqrt(550)\/(sqrt(44)\/sqrt(4)))\/sqrt(10)).\nAnswer: -3*sqrt(5) + 13500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 12:32 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*j**2 + 0*j**2 + j**2)*(-2 + 0 + 4) + j + 3*j**2 - j)*(-j**2 - 2 + 2) in the form n*j + r + d*j**4 + m*j**2 + t*j**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 44\/12)*12. Calculate the greatest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.459 - 0.959. Let t = -0.007 + -24.993. Let i = t - -24.6. Which is the second smallest value? (a) 4 (b) i (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9))**11\/(r**(-14)*r**(-3\/7)) assuming r is positive.\nAnswer: r**(986\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/2 + 266*n. Let m(f) = 7*f**2 + 1. Give m(w(j)).\nAnswer: 252*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f = 52*f + 609. What are the prime factors of f?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/40*(80\/168)\/((-8)\/(-12)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44.4, 2\/9, -4 in increasing order.\nAnswer: -4, 2\/9, 44.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37109?\nAnswer: 43, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c + 5?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 30446*x + 152205 = 0. Calculate x.\nAnswer: 5, 30441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14342353.6738 - -23\nAnswer: 14342376.6738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862606*l**2 + 431536*l**2 + 431071*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -46, 693441, 0, -1 in ascending order.\nAnswer: -46, -1, 0, 2, 693441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 34 + 30. Let d be 7\/(-2) + (-11)\/(44\/h). Let z = 14.14 - 14. Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8447081, -8447087, -8447097, -8447111?\n\"Answer: -2*v**2 - 8447079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 2, 3, 1 in decreasing order.\nAnswer: 5, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/60 + 23\/60. What is the nearest to q in 1\/3, 0, 2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from szzgcyi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.9917 to one decimal place.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145, -761, -1785, -3217, -5057?\n\"Answer: -204*z**2 - 4*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-33 + (-279)\/(-9)). Determine p, given that 6*p**3 - 14\/3*p**h + 10\/3*p**2 - 6*p + 4\/3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -3*w - 11*g - 14, 5*w + 2*g = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 1 + 26*a**3 + 4*a**4 - 3*a**4 + 0 - 37*a**3 to z + w*a**3 + f*a**2 + p*a + n*a**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 120 - 44 = 0. Let r(n) be the second derivative of 3\/50*n**5 + 1\/15*n**3 + 0*n**2 + 1\/10*n**u + 4*n + 1\/75*n**6 + 0. Solve r(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/20 + 13*k**4\/12 + 29*k**3\/6 + 43*k**2\/2 - 83*k. What is the hundreds digit of r(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 136627, -92, 4?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 less than 692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63413 + -63?\nAnswer: -63506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -18081.\nAnswer: 32\/18081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4648188.\nAnswer: 2, 3, 509, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 170.07984 minutes?\nAnswer: 0.118111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 30\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from uuuuurkkr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 divided by -172642.\nAnswer: 375\/172642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2018609 by 54557.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(1*sqrt(2)) - (sqrt(180) - sqrt(180)*-1)) + 4 + -3*(-2*sqrt(3200) + sqrt(3200) + sqrt(3200))\/(1*sqrt(810)))**2.\nAnswer: -72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 2*a + 1. Let o = 5 + -2. Suppose -o*c - 2 = n, 0*n + n = -5*c. Calculate s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190653.9158 - 16.0842. Let u = f + 190670.0600044. Let k = -0.06 + u. What is k rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1586\/671)\/((5\/(-165))\/(6\/(-144)))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 1. Suppose -5*n + 4*a = -56, 5*n = 3*n - 4*a. Suppose 0 = -26*t + 23*t + 21. Let j = n - t. Determine m(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/4*(-494156)\/(-60333)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 9215\nAnswer: -2764.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3583236 is divided by 2413.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206*t + 349*t - 214*t)*(-t + 2*t - 3*t) - t**2 + t**2 + t**2.\nAnswer: 143*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.038526 micrometers to centimeters.\nAnswer: 0.0003038526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -49, -109, -215, -379, -613?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l = 44*l - 12. Let a be (-1)\/(-2) + (-46)\/(-4). Suppose n - l*n = -a. Calculate the lowest common multiple of n and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -63.2 (c) -0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10)*30\/3. Let q be (0 - 2)\/((-6)\/(-15)). Sort v, 2, q.\nAnswer: q, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -42*y**2 - 124*y + 78. Give u(-6).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-436) + (-74385)\/(-88290). Determine o so that -2\/3 + 1\/6*o**3 + 4\/3*o - u*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 11*q\/2 + 14.\nAnswer: (q - 7)*(q - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374784*h + 217888 = -377260*h for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -120)*8\/6. Suppose 5*f - 166 = m. Let g be (-2)\/4 - f\/(-84). Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 243, 290, 337, 384, 431?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25346263 (base 7) to base 6.\nAnswer: -121124501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423276 by 3.\nAnswer: -141092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*n*o**2 - 239*n*o + 10*o**2 wrt o.\nAnswer: 24*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*z + 3. Let o = 10 - 7. Suppose 5*q + 3*w = 6, 2*w = o*w - 2. Solve q = -0*d - z*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8)*12\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83\/6909 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51070597.\nAnswer: 97, 526501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 22*g**2 - 570*g + 96. Let k be b(30). Solve -k = 9*y - 2760 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -5*h**4\/12 + 43*h**3\/6 + 24*h**2 - 183*h. Let n(u) = 14*u**2 - 129*u - 143. Let k(v) = -4*n(v) - 11*s(v). Factor k(a).\nAnswer: -(a - 44)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24548 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 29985856553.\nAnswer: 29985856549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1\/12*j**6 - 21\/4*j**4 + 13\/10*j**5 - 37\/4*j**2 + 29\/3*j**3 + 9\/2*j - 178. Let n(i) = 0. What is i?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 12, -5*s - 5*m + 15 = -0*m. Suppose -2*l + s*l - 10 = 0. Suppose -l*w + 94 = -w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75330 and 691455.\nAnswer: 112015710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2*x)**(-7\/5) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-96)\/(-256))\/(1050\/80 - 13). Determine p so that -2\/3*p**4 + 0 - 4*p + 2\/3*p**2 + 4*p**t = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393739?\nAnswer: 1393739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 6 (b) -5 (c) 2 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 38. What is x(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 1\/3*v**2 + 19\/18*v**3 + 3\/10*v**6 + 27\/20*v**5 + 7\/4*v**4 + 0 + v. Determine g, given that o(g) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3323450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 69. Solve -5*u - 45 = -5*i, f*u - i + 3 = -11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3051\/39 + -2 - (140\/(-80) + (-618)\/(-312)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1317 + 0*k**2 + 478*k - 1308 + 2625 - 6*k**2 in the form x*k + c*k**2 + b and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 62*o - 936. Calculate m(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, 37552998, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 + n**2 - 3*n + 1. Let h be x(-3). Do 3\/7 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 4 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 6*t**2 - 2*t**4 + 3*t**3 - 2*t**4 - 3*t**3 + (t**2 + 3*t**2 - 5*t**2)*(2*t**2 - 3*t**2 + 3*t**2) - t**4 - t**4 - t**4.\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.39 - -11. Let u = q - 1.21. Let l = u - -0.60095. Round l to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 3, r: 1}. Give prob of picking 3 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34649, -69289, -103931, -138575, -173221, -207869, -242519?\nAnswer: -277171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 896*s - 118. Let o(n) = 299*n - 39. Let y(t) = -11*o(t) + 4*p(t). Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/7 + (-4)\/(-42)*-6. Solve a*l + 5 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/28 + (-2)\/12. Which is bigger: -8\/17 or h?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 191 - 112 - 82 - 119.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**3 + 2501185*j**2 - 312805074175*j + 2189512962875 = 0.\nAnswer: 7, 250115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2 - 14. Let m(t) = 23*t**2. Give k(m(b)).\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 23\/4, 0.5, 9.5, 2\/7, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -262*y - 1845. Determine k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 6*a)*(11 - 11 - 9*a**4) - 2*a**5 - 5*a**2 + 5*a**2 - 2*a**5 + 4*a**5 + 3*a**5.\nAnswer: 21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(495)\/sqrt(144))\/(sqrt(30)\/sqrt(96)) + (3*sqrt(2695))\/(3*sqrt(720)).\nAnswer: 79*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4592457 micrograms to tonnes.\nAnswer: 0.0000000000004592457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -223765+9633\nAnswer: -214132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 75, -550, 16, 4 in ascending order.\nAnswer: -550, -11, 4, 16, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -2.4. Let f = 3 - 1.4. Which is smaller: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4980831 + -2850843. Suppose -5*b - 3*t + 2*t = 153, 5*b + 147 = t. Let s be m\/b + (-2)\/5. What is s rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 6*f**2 - f - 5. Let i be m(-6). Let w be (-3)\/(-1)*(-11)\/33. Let c = 0 - 0.1. What is the closest to c in i, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344065 times 337\nAnswer: -115949905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 5*u - 2*f + 398, -4*u - 3*f = -317. Let w = 11637 - 11627. Calculate the highest common divisor of w and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6527 = -5428. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4993*q - 4982*q + 4 + 9974*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0480431ml?\nAnswer: 0.0000480431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3\/24)\/(-2 - -1))\/((-24)\/48). Which is the nearest to i? (a) -2\/7 (b) -0.4 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 372 = 5*v + 3*o, 5*v + 5*o + 380 = 0. Let n = -101 - v. Let b = n - -44. What is the greatest common divisor of b and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 57 - 17 = 0. Suppose -14 + u = -4*g. What is the closest to -1 in -0.5, -6\/13, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 2.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 12. Let y(w) = -50*w**2 - 47*w**h + 92*w**2. Let o(z) = -z. Let k(d) = -2*d. Let s(r) = 5*k(r) - 8*o(r). Determine y(s(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 19\/6, 1\/4?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) -0.3 (c) -0.017 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 299, 216, 133?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j + 275673 - 44455673. What is j rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31.4 and 1.7.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1925 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -4 (c) -0.5 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 450 + -451. Let q(n) = -10*n**2 + n. Determine q(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16106 (base 10) to base 12\nAnswer: 93a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.13 - -3.63. What is the nearest to -2\/3 in 3, -13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 313, 464, 613, 760, 905?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/7 or 7?\nAnswer: 41\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**3 - 9*v**2 - 5*v - 1. Let m(z) = 2*z**3 + 2*z**2 + z. Let l(d) = -4*m(d) - w(d). Suppose -5*q - 5 = -4*h, h = 4*q + 3*h + 4. Give l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 15*u - 3*u**3 + 0*u**3.\nAnswer: -2*u**3 - 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5034445 divided by 5\nAnswer: -1006889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 596662?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:24 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.1637\nAnswer: 0.08185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*h + 25 = -8*z, -5*z - 23 = 3*h. Let f(y) = -16*y**3 - 4*y**2 + 5*y - 8. Let s(u) = u**3 + u**2 - u + 2. Let w(q) = z*s(q) - f(q). Give w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/28)\/((-32587)\/(-1238306)).\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/300*(-24)\/21)\/(-7*(-18)\/(-2646))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 64. Suppose -7*y + 8*y = -d*s + 4564, 2*s = 5*y - 22871. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 + 41294*b**3 - 288968*b**2 + 165096*b + 495360 = 0?\nAnswer: -1, 2, 6, 20640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10795, -43359, -97633, -173617, -271311, -390715, -531829?\n\"Answer: -10855*x**2 + x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 - 4)\/(3\/3). Suppose 2*m + 4*l - w = 31, -10 = 5*l. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000457585294 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 2*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*k**2 + 8*k**4 + 4*k**4 + 16*k**2 + (0 - 2*k + 0)*(2*k**3 - 2*k**3 + k**3) + 3*k**4 - 2*k + 2*k - k**4 - 2*k**4 + 4*k**4.\nAnswer: 14*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -797.84 - -797.8. What is the nearest to 82 in j, -1\/3, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-3 - -7)\/(-4). What is the nearest to 0.2 in 0.5, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1985190, -3970364, -5955514, -7940628, -9925694, -11910700, -13895634, -15880484?\nAnswer: -17865238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 156, 7.\nAnswer: 7, 102, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Let b(r) = 6*r - 3. What is b(a(k))?\nAnswer: -12*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -27, -52?\n\"Answer: -25*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.19, -4, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/5, 0.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 15) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 18, 41, 76, 129, 206, 313?\n\"Answer: b**3 - 3*b**2 + 19*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 y, and 1 u when four letters picked without replacement from eeyyeyeuvty?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 492 or -33653?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5251 (base 10) to base 16\nAnswer: -1483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -142, -146, -150, -154?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-70) + (-24)\/300*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 11:32 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 55*g**2 + 15*g + 21. What is the hundreds digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 4, y: 3}. What is prob of picking 1 y and 2 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 424, 774, 1122, 1468, 1812, 2154?\nAnswer: 2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44916872?\nAnswer: 2, 7, 11, 13, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5337 - -0.3?\nAnswer: -5336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 731774737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*f = 25, -2*f + 25 = 3*f. Let w(y) be the third derivative of 0*y**3 + 1\/30*y**i + 0*y**4 - y**2 + 0*y + 0. Let t(j) = -2*j**2. Calculate w(t(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/350840 and -37\/8950.\nAnswer: 1754200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**2\/5 + 1976972*w\/5 - 131798 = 0 for w.\nAnswer: 1\/3, 329495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 + -4. Let v = 0.2 + 0.3. Let i = -0.4 + v. What is the third biggest value in i, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/49 in 0, 2, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49717112 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(32))*1)**2.\nAnswer: 400*sqrt(2) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 62. Suppose -f - r = 3*f + 9, 5*f - 2*r = -v. Let p be 0 + f*6\/(-9). Solve 0 = -0*g - p*g - 3*c - 22, 0 = -5*g - 3*c - 37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 197*o + 6276. Let y be p(157). Which is the closest to 1? (a) y (b) 0 (c) 1 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19392 plus -258.1?\nAnswer: 19133.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 27 = -b + 5*y, 2*y - 10 = 0. Let g(a) = -2*a + 3*a + b + a**2 + 4*a. Is g(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0*p**3 + 83*p**2 - 17\/12*p**4 + 2*p - 8. Differentiate w(j) with respect to j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let p(x) be the first derivative of 5\/3*x**4 + 0*x**2 - 12 - 4*x + 0*x**3. Let k(z) be the first derivative of p(z). Determine h(k(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 3. Let x(r) = 17*r - 22. Calculate 5*u(d) + x(d).\nAnswer: 12*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13*t + 6. Let f(l) be the third derivative of l**4\/2 + 157*l**3\/6 - 26*l**2. Let u be f(-13). Let k(y) = -y + 1. What is u*m(p) - 6*k(p)?\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 1057 + 1041 = z, 0 = 3*z + 3*a - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 55*j**2 + 58*j. Let h(b) = -27*b**2 - 29*b. Let g(a) = 13*h(a) + 6*t(a). Find the second derivative of g(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091457188 rounded to 4 decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 51 = -5*r, 609*q = 5*r + 605*q - 48. What is the least common multiple of 243 and r?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 26*j**2 - 102*j - 126.\nAnswer: -2*(j + 3)**2*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -919b + 3?\nAnswer: -9198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -3\/4 (b) -762 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let q be -1 - (-76)\/68 - (-32026)\/4063. Sort 4, 3, q, z in ascending order.\nAnswer: z, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-14) + (-18)\/(-4). Solve -5*y + b = -10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**4 + 46*j**3 - 4*j**2 + 8. Let z(p) = -4*p**4 - 137*p**3 + 10*p**2 - 25. Let w(d) = 8*o(d) + 3*z(d). What is the third derivative of w(c) wrt c?\nAnswer: -96*c - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620\/(-1550) - 46\/35?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.135 - -1.3627. Round w to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*j = 200*j - 585 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - -2*sqrt(396)*-4 - sqrt(396))**2 + sqrt(396).\nAnswer: 6*sqrt(11) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0.2 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 97119?\nAnswer: 776952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*p**2*w + 116600*p**2 + 2*p*w + 1636*w with respect to w.\nAnswer: -20*p**2 + 2*p + 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321 - 211?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -59. Let v = d + -18. Suppose v - 2 = 9*r. Sort r, 2, -5, -3.\nAnswer: -5, -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 + 120*d**4 - 1008*d**3 + 1568*d**2 = 0. Calculate d.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.081 - 0.0810576. Round m to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 583602763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 46 - 138 = 0. Calculate the common denominator of -22 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2902613 + 0.961.\nAnswer: 0.6707387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 2\/5, -1.\nAnswer: -1, 2\/5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 2*h**3\/3 - h**2 - h. Let q be g(2). Let u = 56 + -34. Solve 3*d + q = -3*i, i = -0*i - 5*d - u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 23. Determine q(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 22475*w + 15. List the prime factors of m(2).\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 1. Let u(m) = 9*m - 56. Let t be u(18). Let l(d) = d + 105 - 5*d + 0*d - t. Determine 3*h(n) + 2*l(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 plus -2109?\nAnswer: -2091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 47 + 44. Put u, 0.5, 4, -0.2 in descending order.\nAnswer: 4, u, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38*-0.05371.\nAnswer: -0.0204098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -305*x + 413*x. Let o(g) = -g. Let a be o(-1). Suppose -5*p + 4 = 4*r - 3*p, -r = 4*p + 6. Put a, r, x in descending order.\nAnswer: x, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 241295018 or 241295020?\nAnswer: 241295020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.11 + -0.11. Let m = 2 - g. Which is bigger: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1592448 = -37*j + 41287. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 61. Let s(l) = l**3 - 16*l**2 + 20*l - 42. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*c + 5, -5*l + 25 = 4*c + c. Suppose 0 = -c*w + 30 + 78. Suppose -w - 259 = 2*x. What is x rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41038 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21933 is divided by 2618.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0)*(-1 + 0). Suppose h = 4*p - 5 - 51. What is the remainder when 265\/10 - (-1)\/2 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 38. What is the hundreds digit of 11\/(-2)*i*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -1, 5, -0.2, 0.06, 2\/17, 27.502?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594 times 0.27933?\nAnswer: 445.25202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12968*s**4 - 353*s**2 + 12974*s**4 - 3*s + 5*s to v*s**4 + o*s**3 + t*s + l*s**2 + y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(162) - sqrt(162)*2*6)\/(sqrt(54)*1))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i**4 + 4 + 5*i**3 - 1 + 34*i**4 - 2 to the form q + o*i**2 + c*i**3 + r*i**4 + l*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a**3 + 3*a**3 - 2 + 5*a**3 in the form u*a**3 + j*a + d + k*a**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(15\/(-14)))\/(984\/2460).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:11 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 66. Let c(v) be the third derivative of v**6\/30 + v**5\/60 - v**4\/24 - 7*v**2. Determine c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 179 and 9?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 17*h - 110. Sort -5, -2, h, 10.\nAnswer: -5, -2, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130571 + 130571. Suppose -2 - 6 = -4*d. Suppose 0*t**d + 24\/5*t**4 + 48\/5*t**3 + 3\/5*t**5 + g + 0*t = 0. Calculate t.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75260, -301062, -677398, -1204268, -1881672?\n\"Answer: -75267*h**2 - h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0574917 decades to years.\nAnswer: 0.574917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*g - 44, -5*g + 42 = -0*g - p. Let f be (-18)\/12*g\/(-6) + -2. Solve -s = -4*a - a, 4*a = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 88 = -27*p. Suppose -g + 5*y = -575, -4*g + 392 = p*y - 1956. Is 45 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971798?\nAnswer: 2, 485899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:13 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-74))\/(36989\/6842965)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9746 and 237183529.\nAnswer: 4873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 + -329. Let g = -148.435 + 19.605. Let v = s - g. Round v to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2.79201512?\nAnswer: -3.79201512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000100531183 rounded to seven dps?\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -165015 less than -2329490?\nAnswer: -2164475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*8\/(-196) + (-20)\/12600*318.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from elalealealaleaaaaael.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -3 - (18 + -12 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, w: 3, f: 5}. Give prob of picking 2 n and 1 w.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 8*v + 78 = 56, 2 = -4*t - 3*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.47 + -12.5. Let t = v - 0.67. Round t to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5 + 3075*v**4 + 67025*v**3 - 2234575*v**2 - 2420220*v + 4584700 = 0.\nAnswer: -38, -2, 1, 19, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvgevgvg. What is prob of sequence eggv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 142020 = -24*s - 106494. What are the prime factors of s?\nAnswer: 3, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 13*y = 280. Calculate the smallest common multiple of 2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -129, -778, -2433, -5598, -10777, -18474, -29193?\n\"Answer: -84*d**3 + d**2 - 64*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 4*i)*(0 + 4 - 5)*(2 - 4 - 6)*(9*i - 5*i + 0*i).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7536339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Let d = -0.0495 - -2.8595. Let i = 0.19 + d. What is the biggest value in i, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 3, c: 1, d: 1, v: 3, t: 2}. What is prob of sequence ce?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224.9 - 226.9. Which is the nearest to -35? (a) 9 (b) p (c) -0.02 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Suppose -3*j + 5*s - 7*s = -1135, -2*j - 2*s = -760. Let q(v) = 2 - 4020*v + 4020*v + j*v**2 - 2. Give q(n(z)).\nAnswer: 375*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55900 greater than or equal to 55899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 12. Give g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -82387, 3\/7, -3 in decreasing order.\nAnswer: 3, 3\/7, -3, -82387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 122. Let 0*z**t + 6*z**3 + 16*z + 6*z**2 + 6*z**2 - 10*z**3 = 0. What is z?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75744)\/(-6) - 184\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qttl when four letters picked without replacement from qlbaltbqtqqqbbbabql.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2)*(-1)\/2*7. Let v be -1*q\/3*2\/7. Which is smaller: -0.23 or v?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76444 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111850070.80034 - -1056.19966. Let a = 111851190.000017 - h. Let w = 63 - a. Round w to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*c = -1217, -c + 2069 + 2769 = 4*w. Solve 1212*d - 6 = w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 24*f + 67. Let o(q) = -q**2 - 13*q + 52. Let z be o(-15). Let a(j) = j**2 + 5*j - 5. Calculate the least common multiple of t(z) and a(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + -1 + sqrt(125) - 6*(sqrt(125) + -2)) + 5 + 0 + sqrt(125) + 5))**2.\nAnswer: -22000*sqrt(5) + 62100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.3 + -28.3. Which is the second smallest value? (a) 0.5 (b) -3\/5 (c) o (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 3*v**2 + 4*v - 7. Suppose -6*x + 5*x + 3 = 0. Let i be g(x). Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170 minus -148489?\nAnswer: 154659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - 2\/(-4). Suppose -2*t = c*t - 40. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/10*(8\/7)\/(-2).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 36*h**2 + 1827*h - 2. What is o(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8159122, -8159120, -8159116, -8159110?\n\"Answer: s**2 - s - 8159122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -855.0691406 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(3 - (-12)\/(-3)). Let v(z) = -3 + 24 + i*z + 4*z. List the prime factors of v(9).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1810207 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 7, 9, 9, 7, 3, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621718.\nAnswer: 2, 19, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.098 or 37936?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10953 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-754)\/116)\/((-65)\/(-220))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/10 - (-669395)\/90) + (-4)\/18.\nAnswer: 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -207\/5 in 0.1524, -3, -7\/3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 13220?\nAnswer: 13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 18571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2520893205354 and 1.8?\nAnswer: 2520893205352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - z - 25592 + 3*z**2 - 3*z**2 + 8423.\nAnswer: -z**3 - z - 17169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1132 and 5094.\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-27)*(-63)\/(-2). Let s = t - 6. Suppose 3*q - 81 = -3*w + 72, 0 = q - 3*w - 63. Calculate the greatest common divisor of q and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 626095704075.\nAnswer: 626095704073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428401?\nAnswer: 3, 173, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 5 = -12*p. Suppose -2*o = 3*f - 6, -4*o + 1 - 3 = -f. Is o greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -63313.9 and 668498282?\nAnswer: 668561595.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 510\/(-935)*2*(-1)\/(-6)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 181 + 62*k.\nAnswer: 62*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 120 = -6*o. Suppose 2*h - o*v - 1792 = 0, 2*h - 5*v - 1796 = -3*v. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 2*i - 2. Let w be c(2). Suppose -14 = -w*u + 3*u. Is u\/6*-3*-397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24 + (21 + -8 - 17). Solve 3*w = q - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 12 + 9 + b**2 + 12*b - 6*b**2.\nAnswer: -5*b**2 + 12*b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.65 - -1.65. Let j = -61 + y. Let i = 60.4 + j. Round i to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325.33*-5.\nAnswer: -1626.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7780 and 400?\nAnswer: 155600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 - -182. Suppose -4*t + 5*b + 7 = 34, -2*t = 2*b + k. Let s(f) = -f - 3. What is s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 161143?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 3864.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 4*o + 3. Let c = -45 - -46. Let i be s(c). Let k(t) = 4*t**2 + 2*t - 2. Let a(r) = -3*r**2 - 2*r + 2. What is i*k(b) - 3*a(b)?\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/6))**(-47)*y\/(y*y**(-7\/4))*y**9)**(-2\/107) assuming y is positive.\nAnswer: y**(-223\/642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433216.\nAnswer: 2, 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3351, -6699, -10047?\n\"Answer: -3348*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddvd when four letters picked without replacement from vvdddddvvddv.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1211*v + 1351*v + 11620 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17473002999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -1 - (9 - 350). Let g be 8 - 5 - (0 - h). Suppose -98 = 4*q + s - g, -s = 3*q - 182. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20741, -20550, -20217, -19730, -19077?\n\"Answer: 2*v**3 + 59*v**2 - 20802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*3)\/(24\/40). Let t = -17 - -22. Solve t + 5 = -s*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/(1\/3). Suppose 8 = -4*j - 0*j, -u*r - 4*j - 4 = 0. Suppose 8 = 3*c - 13. What is the lowest common multiple of c and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**3 - 3*x**2 + 5*x - 4. Let i(j) = -6*j**3 - 2*j**2 + 4*j - 3. Suppose 3*c - 14 = -h, 0*h + 2*h + 4 = 2*c. Calculate c*p(q) - 5*i(q).\nAnswer: 2*q**3 - 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 62. Let o be (r\/(-14))\/(2\/214). Let a = o - 101. Solve -t = -a*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702 = k - 1693 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 6346*o = 6348*o + 46, -9*c - 33 = 2*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -184*l - 205*l + 388*l. Let r(g) = 16*g + 59. What is m(r(k))?\nAnswer: -16*k - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-21)\/7 + -1 + (4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306084 is divided by 111.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 591 - 587. Solve -5*p + 25 = 0, p + 1 = -q + v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let u(r) = 29042502*r**2. What is u(v(s))?\nAnswer: 29042502*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + 1*sqrt(11)*4.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13761*j**3 - 5*j**4 - 2 - 183*j + 13762*j**3 + 3*j**2 + 2*j**4 in the form r*j**4 + s*j + v + y*j**2 + w*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 0.4028 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 859365073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:46 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-7)\/((-28)\/16). Let n = l - -1. Sort n, -2, -1 in increasing order.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 2 = -3*p - u, -3*u = 15. Calculate the remainder when 248 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 22, 7, -24, -77, -158, -273?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229067 or 228612?\nAnswer: 228612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -570582379.5 to the nearest 100000.\nAnswer: -570600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -104*b**3 + 2390*b**2 + 57*b - 253. What is p(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.24 (b) -0.1 (c) 5.9 (d) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -21022?\nAnswer: 21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24589, 49163, 73737, 98311, 122885?\n\"Answer: 24574*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let g(a) = 110*a**2 - a. Let k be g(y). Let c = k + -79. What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66352?\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 233484440*a - 3407186482632100.\nAnswer: -4*(a - 29185555)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 57 + -32 - 22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l. Suppose y - 2*w + 1 = 4*y, -y - 9 = 3*w. Suppose y*r - 49 = -4*q - 2*r, q = 5*r - 19. Let m(i) = -4*i - i + q*i + 2*i. Determine m(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 8.6\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2157760870 divided by -431552174.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2172 and 54.\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1331 - -4359. Suppose 3*y = -2*m + c, 5*m + 0*m - 5*y - 7595 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r - 59618 = 0. Let j = r + 596437\/20. Let u = -53\/4 + j. Which is the second biggest value? (a) 2\/55 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 0*o + 4*o)*(0 + 5 - 2) + (-3*o - 3*o + 3*o)*(-4 + 2 - 3)*(3 + 2 + 7) in the form r + v*o and give v.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106110*u**5 + 57627*u**2.\nAnswer: 6366600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0221.\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -242674 (base 8) in base 13?\nAnswer: -2bc56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**4*o + 10*m**3*o + 46*m**2*o - 2*m*o + 156*m - 2*o wrt m.\nAnswer: -48*m**2*o + 60*m*o + 92*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 5\/2 (c) 3\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c + 53 = 3*j, -5*c = j - 24. Suppose 3*q - j = 14. Let v = q - 3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 2\/27*v**5 + 0*v + 20*v**2 + 0 + 2\/135*v**6 + 1\/27*v**3 + 17\/216*v**4. Let j(c) = 0. Calculate c.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301318 is divided by 11588.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (-11017)\/(-460)) + 1\/(-4)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d - 28. Let i be f(-9). Suppose i*x - 9*x + 2 = 0. Solve -x = -5*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865927397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 66*g**2 + 535*g - 55. Calculate s(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 16*k**2 - 21*k - 9.\nAnswer: -(k + 1)*(2*k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*(-2)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 4*g - 4*g - 2*g. Let c(y) = 2*y. What is c(s(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 2 - 6*j**2 + 329*j**3 + 4*j**2 - 410*j**3 to the form q*j**2 + h + r*j**3 + n*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed0 (base 16) to base 14.\nAnswer: -154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 15 = 3*n, -2*j = -6*j + 4*n - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 + 0 = 4*v, -4*k - 16 = 0. Put -3, v, -5 in decreasing order.\nAnswer: v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 - -1.1. Let k = -29 - -28.87. Let f = k - 0.07. Which is the nearest to -1\/2? (a) -3 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t\/t**1)\/t)\/t*t))**(-23)\/((t\/(t**(1\/2)*t))\/(t\/t**(3\/5))) assuming t is positive.\nAnswer: t**(-451\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 4*w - 16*w. Let q be a(-3). Suppose -5*n = -4*n - 11. Calculate the greatest common factor of q and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/39))**(-41) assuming l is positive.\nAnswer: l**(-82\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 18*p**2 - 2*p**4 - 16*p**2 + 30*p**2 - 2 as z*p + u*p**3 + q + g*p**4 + w*p**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1939 by -244.\nAnswer: -1939\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -3.316248 (c) -0.3 (d) 0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221021 (base 5) to base 3.\nAnswer: -101110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 47*h - 16*h)*(1 - 22 + 5) + 2*h - 4*h + 5*h.\nAnswer: -605*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54493, 54503, 54491, 54451, 54377?\n\"Answer: -y**3 - 5*y**2 + 32*y + 54467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 + -15324?\nAnswer: -15256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 16*l - 3. Let k be x(-8). Let u be 190\/8 + k - (-6)\/(-8). Suppose 16*p = u*p - 12. Solve 8*q - 20 = p*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846377 and 686?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 8*r - 5. Suppose 14*w - 32 = 6*w. Give f(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 + 4*z**2 + 2*z + 1. Let m(c) = 4*c**3 + 4*c**2 + c + 2. Let b(k) = -6*m(k) + 5*n(k). What is b(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-372)\/(-9))\/31)\/(2\/(-6)). Let w(h) = h**2 + 15*h + 24. Calculate w(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 3*j**3)*(4 - 3 - 2*j + j)*(2 - 1 + 0)*(-2 - 3*j + 2).\nAnswer: -9*j**5 + 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59106 divided by 8\nAnswer: 29553\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(28))\/sqrt(2)*1)\/(sqrt(4)\/sqrt(2)*-3 + (sqrt(8) - sqrt(16)\/sqrt(2))\/sqrt(4)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*y = -74, -3*y - 9 + 42 = g. Let c = 40 - g. Let h be 4\/5*(-1 - -6). Solve 0 = -m - v + h*v - 17, -4*v + c = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-525) - ((-62)\/15 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*h**3*j**3 - 24706*h**3*j - 28*h**2*j**3 - 34*h*j**3 + h + 681 wrt h?\nAnswer: -156*j**3 - 148236*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86797.\nAnswer: 29, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -58*y + 128*y + 3*k, -2*y - 23 = k - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30663*w - 23196 - 20199 = -31452*w for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 211084279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20033 + 20031. Sort x, 2, 13, -27 in ascending order.\nAnswer: -27, x, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/4596 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 6862*h + 6874*h - h**2 + 21. Determine a(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -5 + 3 + -4 + 22 + -29.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 61?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:04 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 559 + 5325. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/(-22))\/((-2)\/4). Let c be 4*(171\/12 - i). Suppose 0 = -4*x + c + 63. Solve -k = 5*v - x, 2*v - 6*v + 8 = -3*k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15441, -15427, -15411, -15393?\n\"Answer: x**2 + 11*x - 15453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 13*l**2 - 25*l + 27. Give t(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 4*f**4 - 2*f**4 - 7*f**2 - 3*f**4 - 12*f**3 = 0. What is f?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/20*36\/(-45)*(-42)\/182.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 11160 = -32*i + 188*i for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -32. Which is the closest to y? (a) 0.3 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/c**(1\/5)*c)\/c))*c)\/c*c**(-19) assuming c is positive.\nAnswer: c**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 6, 3*j - 24 = -4*u. Let p = 825 + -476. Suppose -5*f = 3*g - p, -58 - 76 = -2*f - j*g. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/(-460)*(-9 - 4570\/(-505)).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-68)\/16)\/(2\/(-8)). Let i = 25 - g. Is i at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1 + 2 - 3 - 2*h**3 - 4*h**2 to the form v*h**3 + l*h + q + y*h**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/4 - -5\/4. Let y(t) be the first derivative of -3 + a*t**2 + 0*t. Let l(h) = 2*h. What is y(l(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {e: 1, b: 4, w: 1, a: 2, y: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 + 12*k - 4. Suppose 8*n + 1505 - 1433 = 0. Determine g(n).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34858 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77136 - -51580.34.\nAnswer: 128716.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 - 174.02. Let u = 0.02 + i. Sort u, -6\/7, -1\/4 in decreasing order.\nAnswer: u, -1\/4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5\/3 + 724*t**4 + 189772*t**3\/3 + 735092*t**2\/3 + 303192*t + 362080\/3 = 0.\nAnswer: -73, -2, -1, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1978.046 litres?\nAnswer: 1978046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2181\/(-27)) + (-2)\/(-9). Suppose 0 = -4*r - 0*p - p + 76, -5*p = -3*r + t. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2077086*k**3 - 14*k**2 - 14254741*k wrt k?\nAnswer: -12462516*k - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -18. Let q = 4 - 3. Sort d, q, 0 in increasing order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -72*n**3 + n**2 + 2*n - 2. Let q be k(1). Let b = 216 + q. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(1584) - (3*(1 + sqrt(11)) + 1))**2.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from {v: 2, w: 2, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1692 is divided by 1692.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123415, 123612, 124151, 125200, 126927?\nAnswer: 129500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 2 w when four letters picked without replacement from {y: 5, w: 4, e: 2, f: 2, g: 2, l: 4}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*w**2 + 46*w**2 - 116*w**2 - 17*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2560741 (base 10) to base 16.\nAnswer: -2712e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - a. Suppose 4*x = g + 22, 0*g + 2*g = -3*x + 11. What is the tens digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**10\/15120 + d**7\/840 - d**4\/8 - d**2. Let a(f) be the second derivative of s(f). Find the third derivative of a(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atf when three letters picked without replacement from {h: 1, l: 3, d: 2, f: 1, t: 3, a: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14504 + -2.85496. Which is the nearest to -1\/5? (a) 18\/11 (b) m (c) -2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:40 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -723 + 721. Which is the closest to z? (a) 5 (b) 0.1 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-140868.\nAnswer: 3803436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2)\/(12\/(-861)). Let s = 197 - b. Let a be ((-11)\/(33\/s))\/2. Solve 4*x = 2*r + 20, 0*x = -3*r + x - a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(2\/7))\/b*b*b**1)**(-29) assuming b is positive.\nAnswer: b**(-551\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3) + 330\/2. Suppose -2*g + 262 = 5*b + 94, m = 5*b + 5*g. Suppose -w + b = 1. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285*t**4 + 2115*t - 2521893?\nAnswer: -1140*t**3 + 2115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 30*s - 24. Let t(r) = 3*r**2 + 40*r + 35. Let d(w) = -7*o(w) - 5*t(w). What is d(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 366\/(-7) - (-4 - (-26)\/7). Let y = z + 54. Suppose 10 = -2*n + 20. Put -2, n, y in increasing order.\nAnswer: -2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906858925412 - 19*i + 906858925412.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 11087 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 39141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/((s\/s**(-1\/6)*s*s)\/s))\/(s**3*s))**(-21))**(-39) assuming s is positive.\nAnswer: s**(-6825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17523.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:29 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:23 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-13) - 14\/(-91). Let x(v) = 4 + 14*v**2 - 12*v - 5*v**k + 8*v. Is 33 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241668 to five decimal places.\nAnswer: 0.02417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = 0, l = -5*a + 32 - 7. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 - 12*z - 37. Determine b(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(1034\/44)*(-3)\/12*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -192*g**3 + 3*g**2 - 3*g + 6. Let l be j(2). Let c = l + 1532. Let z be (-24)\/(-14) - 4\/(-14). Solve -z + c = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214*n**3*r**3 - 5467*n**3*r**2 - 2*n**2*r**2 + 11*r**3 wrt r.\nAnswer: -1284*n**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*v**3 - 24539*v**2 - 5967147*v.\nAnswer: 102*v - 49078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 1. Let q(p) = -p**2 - p + 3. Let r be q(3). Let t = r + k. Solve b + 5 = 5*g + t*b, -4*g + 5*b + 31 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13079422*r**3 + 20*r**2 + 968521*r.\nAnswer: 78476532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -a2?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 27. Let s(n) be the first derivative of -n**2\/2 - 14*n + 8. Let u(o) = 2*p(o) + 5*s(o). Does 5 divide u(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/4 + 13*s**3\/3 + 6*s**2 - 2. Let d be m(-12). Let f = -9.3 + 9. Which is the nearest to d? (a) f (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*2*-1. Let g be (-3)\/6*(1 + -25). Let h be g*(w - (-14)\/4). What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 0.0743619?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - b + 18 = 0, 0*c - 52 = -4*c + 2*b. Suppose 2323 = 184*n + 299. Is n less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-16))\/((50\/(-80))\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*h - 54. Let p(a) = -a - 8. Let y be p(h). Suppose 105 = -0*s + 21*s. Solve s*l - 1 - 9 = y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2925753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -259 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -39*g**2. Let b(r) = 13073*r**2. Determine k(b(v)).\nAnswer: -6665229831*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 81355 - 61055 = 0. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(8\/(-4) - -3). Let k be (-15)\/20 + (-2)\/w. Let o = 0 + k. What is the third biggest value in -0.6, 2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 15, 37, 67?\n\"Answer: 4*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1860*q**6 - q**5 - 2*q**2 + 337*q + 2 wrt q.\nAnswer: -223200*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 - 6*u + 4. Let a be k(6). What is the units digit of 2\/8 + 7\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 276, 263, 244?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -24, -5, 4, 5.\nAnswer: -24, -5, 4, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 4) to base 11\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13)*k\/((k**(-9)\/k*k)\/k))**(1\/39)*((k**5)**(4\/7))**(6\/23) assuming k is positive.\nAnswer: k**(4519\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 913920 and 9961728?\nAnswer: 99617280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Let w(y) = -y - 5. Let c(i) be the first derivative of i + 4. Calculate h*c(a) - w(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 385 = 0. Let x be (k\/1)\/1*(4 - 5). Suppose -4*w - w + 3*n + x = 0, 2*w - 30 = n. What is the remainder when 24 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4 - 63*u**3 + 453*u**2 - 1233*u + 840 = 0.\nAnswer: 1, 5, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141589758?\nAnswer: 2, 3, 947, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -37024 >= -10252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1246*s**6*y**2 + 2*s**6 - 1567*s**2*y**2 wrt s?\nAnswer: 149520*s**3*y**2 + 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, -0.1, -347, 0.3, -102 in ascending order.\nAnswer: -347, -102, -0.1, 0.3, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-197791)\/(-22) + (-2)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yod when three letters picked without replacement from mymeeomeymdeymey?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -7650.\nAnswer: 7652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/6 (b) 45\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370879435*y**3 + 29*y**2 + 78788 wrt y?\nAnswer: -2225276610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*u**2 - 221*u**2 - 205*u**2 + 631*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 + 0*w**2)*(-3 + 3 - w**3) - w**4 + 5 + w**4 - w**5 - w**2.\nAnswer: -3*w**5 - w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 18 - 42 = 0. Suppose 2*x + x - d = 0. Let f(o) = 6*o**2 - 4. Let p(w) = -7*w**2 + 5. Let h(c) = x*p(c) + 5*f(c). Let z(l) = l**2. What is h(z(g))?\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 - 477 = -l. Let a = -1.1 + 5.1. What is the fourth smallest value in 1, a, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 0) + (62 - (63 - (14 - 21)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 9 + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 605426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f - 3*m + 10 = 0, -3*f = 5*m - 28. Suppose -1 - f = 2*o. Let j(w) = 3*w - 17. Let x be j(6). Is x != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -5*z + 3*l + 129, 5*l + 5 = -5*z. Solve 0 = -z*w - 28 + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + 2*a - 3. Let u be w(-2). Let x be 0\/u - (0 + 0) - -3. Suppose x*r = 4*r - 70. What is the greatest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175063 - -319278. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 707, 803, 963, 1187, 1475?\n\"Answer: 32*a**2 + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + (4 - -31) + -30 - (92 + 3)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 14. Let d = -222 - 247. Let q = -469.3 - d. Put o, q, 1 in ascending order.\nAnswer: q, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-7 - ((4 - (1 + 3)) + -8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-z + 2*z + z) - 2*z - 4*z + 0*z + (74*z - 29*z - 12*z)*(3 + 1 - 1) in the form y*z + a and give y.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1063*b**3 - b**2*q**2 - 3*b*q**2 - 180*b + 2*q**2 wrt b?\nAnswer: -6378*b - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:37 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7782349867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -268*h + 865. Calculate the remainder when 216 is divided by w(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -16*l**5\/15 + 27*l**2. Let k(o) = -7*o**2. What is 56*k(r) - 6*p(r)?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 15 = 0, -5*t - 8*a = -t - 12*a + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*g - 16, 2*g - 5*r - 7324 = -7350 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttwt when four letters picked without replacement from {w: 6, t: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a4823 - -5?\nAnswer: -5a481b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) 3 (c) 3\/218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -b - 5, -2*b + 7*b - 19 = -2*h. Let r be 1 + 52\/4 + -2. Let a be r\/(-6)*(-1 - 0). Solve -h*u = a + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/98*2*-7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let b = -0.25 - 0.15. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 33*g**2 + 24*g. Suppose 0 = 5*f - 148 + 38. Let a(o) = -8*o**2 - 6*o. Let n(k) = f*a(k) + 6*t(k). Find the second derivative of n(y) wrt y.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b - 27*b + 15*b. Suppose 0 = -3*x - x + 16. Let i(a) = -6*a. Calculate x*i(u) + 7*h(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 45*o**2 - 196*o + 4. What is s(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + 70. Let u(j) = 5*j**3 + 235 + j**2 - s - 4*j**3. Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r - 3. Let d = -1163 - -1159. Let l(h) = 2*h**3 + 3*h + 2. Determine d*l(y) - 3*q(y).\nAnswer: -5*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*j + 16\/3*j**3 + 0 - 14\/3*j**2 - 2*j**4.\nAnswer: -2*j*(j - 1)**2*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 4*s**3 - 4*s**3)*(106*s + 2*s - 3 - 27*s).\nAnswer: -81*s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 4 (c) -4 (d) 7\/3 (e) -1\/3 (f) -2924\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and -50.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2473727.\nAnswer: 79, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -207, -197, -189, -183, -179?\n\"Answer: -u**2 + 13*u - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a7 - -3?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (342\/(-380))\/(15\/(-10))*10\/(-11)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-8) + (-1527)\/(-6). Let q = 364 - r. Suppose -q = -4*k - k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2 - 13*y + 8. Let k(j) = 2*j**2 + j - 4. Let m(a) = -3*k(a) - l(a). Determine m(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/24)\/(2\/6)*-54. Suppose 30*f - q*f = 9411. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -17 - (118 + -116).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3845 - 3813. What is the lowest common multiple of v and 656?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3 + -2*2022\/1356. Let p = g + 212\/791. Let k = 0.8 + -1.4. Is k at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12504 = 9*d - 58673 - 63775. List the prime factors of d.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2015\/(-1)*(-23 + 1455\/75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-15\/4)*f*f)\/(f\/f**(-7)*f))\/(f**(-10\/3)\/(f**9\/f)) assuming f is positive.\nAnswer: f**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -712 - -736. Calculate the least common multiple of 177 and i.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 + 222*d**3 + 5265*d**2 + 33124*d = 0. What is d?\nAnswer: -196, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**22)\/(v*v*v*v**(2\/19)*v*v)*(v\/v**(-7))\/v**(5\/7) assuming v is positive.\nAnswer: v**(3349\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/13208 and -5\/19812.\nAnswer: 39624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1656 and -13\/90.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2*o**6\/15 - 2*o**5\/5 + 4*o**3\/3 - 2*o**2 + 8*o + 10. Let i(k) be the first derivative of j(k). Factor i(x).\nAnswer: 4*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:53 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11001100?\nAnswer: 11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 6. Let z(b) = b - 1. What is -t(w) + 4*z(w)?\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23891, 47805, 71759, 95771, 119859?\n\"Answer: 3*k**3 + 2*k**2 + 23887*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192676 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/(g*g*g\/g**(-6\/11)))\/(g**1*g)**12 assuming g is positive.\nAnswer: g**(-931\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2. Let w be x(-2). Suppose w*g - 136 = -36. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/7)\/((-2)\/7). Suppose 5 - 301 = -p*u. Let c = u + -57. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 10 - 2 = 2*t, 2*l = 2*t. Let s(o) = -o**3 - 2*o**2 - o - 2. Let b(p) = 5*p**3 + 10*p**2 + 5*p + 11. Calculate l*b(c) - 11*s(c).\nAnswer: c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-1)\/6 - 1. Suppose k = -22*q + 71*q + 49. Do q and -6\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Let o(h) be the first derivative of 143*h**2\/2 + 495. Give f(o(i)).\nAnswer: 286*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, w: 1, l: 1, p: 1}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-171)\/(-228)*16\/42. Let r = 33 + -30. What is the closest to r in q, -3\/5, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 27*s. Let c be u(-17). Let x be 17\/(c\/4) + 18\/70. What is the third biggest value in x, 3\/4, 0.4, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d**8)\/(d**(3\/4)\/(d*d**(-5)\/d)) assuming d is positive.\nAnswer: d**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 + 6*w**3 + 5*w + 15 wrt w.\nAnswer: 60*w**3 + 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41195.447 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = z - 2*z, -5*m + 5*z = -35. Sort -7, m, -2.\nAnswer: -7, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464127129 a multiple of 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b - 9617 + 9537 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (761*s - 3670*s - 334*s)*(5 - 1 - 1).\nAnswer: -9729*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4158.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 56 = 5*d. Calculate the least common multiple of (36\/(-10))\/(102\/(-340)) and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.64 + 15.6400497. Round x to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b4f0 - -10?\nAnswer: -4b4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.05 + -106. Let j = 0.05 - m. Let s be (-26)\/(-40) + 16\/(-40). Which is the second biggest value? (a) s (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 12*y + 6 = 15*y, -3*y + 24 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*r - 4 = 193*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206219471.\nAnswer: 31, 6652241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 5:15 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -84, -179, -312, -483?\n\"Answer: -19*a**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - h - 20 = 0, 0 = -5*l - 4*h - 4632 + 4601 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = b, 2*b = 3*u - 2 - 3. Differentiate 1 - 4 + l + 1 + u with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/(-2) - (-8)\/6. Let f(b) = -b**3 - 2*b + 1. Let o be f(m). Let i be 1*-3 - 0\/(-9). Sort o, 10, i in increasing order.\nAnswer: i, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/(-8) + (-3)\/(-12). What is the second derivative of -5*k + b*k**4 - 4*k**4 + 5*k**4 - 2*k**4 wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/10 + 3\/5. Solve r*g + 12 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1881 + 14108. Suppose -15811 - k = -6*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.041033 + 0.0410488602. Round k to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -33616?\nAnswer: -33612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -306 + 308. Suppose s = 10*c - 12*c + t, 5*c = 2*s - 13. What is the biggest value in -3, 2, 0.4, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1023 greater than -1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*d - 394*d = -644*d - 3092 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-129*d - 6*d - 42*d - 3*d)*(3 - 1 + 0)*(0*d + 3*d - 5*d) as g*d**2 + s + l*d and give g.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 65. Let c be 6\/(-10) + (1989\/s - -4). Let v = c + -51. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11424715241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -19, -31, -49, -73, -103?\n\"Answer: -3*z**2 + 3*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93919965 and 270?\nAnswer: 1690559370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 2*r**2 - 5*r + 9. Let n be t(6). Let k = -121 + n. Let p be (-24208)\/51*(-15)\/k. Round p to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.005 - 1.1. What is r rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 17*l + 69. Let o be m(-10). Let t = -4\/69 + -370\/759. Is o != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61876 - 22023. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -32646734*j + 1. Let y(m) = m. What is y(d(s))?\nAnswer: -32646734*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -482*g - 1931. Let q be j(-4). Put -5, -6, 72, q in decreasing order.\nAnswer: 72, q, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22349, 20865, 19373, 17867, 16341, 14789, 13205, 11583?\nAnswer: 9917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 11*s - 16. Suppose 2*j - 4*j = -f - 13, 5*j + 2*f - 55 = 0. Let r be v(j). Solve -3*w - 9 = r*h + h, 2*w = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -751701530 divided by 2\nAnswer: -375850765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 1\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13108 - -12868 - (-123 + 1).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25245*d**2 - 82613*d**2 - 38396*d**2.\nAnswer: -95764*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 684.6667 tonnes?\nAnswer: 684666700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 7*u**2 - 1. Let n be y(7). Let z be 7 + 1650\/(-252) + (-1)\/6. Which is the smallest value? (a) z (b) n (c) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 6) to base 8.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -689953 - -66?\nAnswer: -689887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47819 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let r(m) = -5*m - 426 + 1388 - 419 - 546 - 90*m**2. Give r(j(f)).\nAnswer: -90*f**2 - 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24*a - 37. Let x(o) = o - 1. Determine -i(u) - 6*x(u).\nAnswer: 18*u + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 128237959 * -4\nAnswer: -512951836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28 + 13*t**3 - 15*t**3 + 136*t**2 + 86*t**2 + 8 wrt t.\nAnswer: -6*t**2 + 444*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 27*c - 31. Calculate h(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360.4719 kilometers to nanometers.\nAnswer: 360471900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3895 and 306065.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 15, -6\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x - 2*x. Let w(n) be the first derivative of 1\/3*n**2 + 0*n - 2\/9*n**3 + x. Factor w(r).\nAnswer: -2*r*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -28*c + 672. Let t be x(24). Put -3, 2, t, 17 in decreasing order.\nAnswer: 17, 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3738 - 292?\nAnswer: -39ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 10*y**2 - y - 4. Let r = -49 - -28. Let l = -31 - r. What is the units digit of p(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*p - 357 - 324, -5*p + 3*b + 855 = 0. Calculate the highest common factor of 114 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*p - 130 = 7*p. Put -2, -19, p, 3 in descending order.\nAnswer: 3, p, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 10:05 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 93, 3, -5 in decreasing order.\nAnswer: 93, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27*2*1\/(-2). Let d = a - -53. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 8*l + 4*l**2 + 17*l + 27*l.\nAnswer: 4*l**2 + 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/36*o**4 + 0*o + 0 + 0*o**3 - 1\/450*o**5 - 7*o**2. Let j(a) = 0. Calculate a.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*w = 25, -2*d + 3*d - 11 = -4*w. Let t = 64 - d. Solve 5*h + 4*u + 0*u = t, -10 = 3*h - 5*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-17 - 10 + 17)*(-5*y + 6*y - 2*y) - 3*y + 3*y - y)*(-34*y**4 + 39 - 39).\nAnswer: -306*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526*d + 542*d = 48. Let g(q) be the third derivative of q**5\/60 - q**4\/12 - q**3\/3 + 3*q**2. Let x(k) be the first derivative of g(k). Determine x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1751 + -1752. Let h(s) = -s**2. Let v(w) = -w**2 - 2*w - 1. Calculate z*v(k) + 4*h(k).\nAnswer: -3*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u - u + 0*u + (2*u + u - 5*u)*(1 - 4 + 1) - 2*u - u + 2*u + u - u + 5*u + 13*u - 4 - 4 + 7.\nAnswer: 25*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 309576605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(693) + sqrt(693))\/sqrt(11))\/((2*sqrt(9) - sqrt(9))*3).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2\/8 - 1076379*q - 772394501094 = 0.\nAnswer: -1435172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 65. Let g(w) be the third derivative of w**4\/6 - 3*w**3 + 2*w**2. What is the units digit of g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 4041*g - 148165. Determine r(-37).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -11, 0.2, 0.4, 354, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from xxxuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:52 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 833 + -823. Let u(t) be the second derivative of -40\/3*t**3 + 0 - 15\/4*t**4 + 6*t + y*t**2. Factor u(h).\nAnswer: -5*(h + 2)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 25*t - 30 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/4 - 1) + -1. Let l = -23.1 + 23.5. Let c = 143\/2 - 70. What is the nearest to 3 in o, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - s + 19 = 0, -5*m = -s - 7 - 14. Let f = -2 + 2. Solve f = -m*p + 5 + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2692*o**5\/5 + 4*o**2 - 80*o - 6385. What is the second derivative of y(v) wrt v?\nAnswer: 32304*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:04 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2078.3 + 2078. Which is greater: -0.02 or i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4240 + -4009. What is the highest common factor of u and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = -3*s - 120, s = 3*k - 116. What is the greatest common factor of k and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21357, 85167, 191517, 340407?\nAnswer: 531837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 68. Suppose n*i + 8 = -g, -g + 2*i + 14 = g. Factor 20*t + 3*t**2 + 1 + g*t**2 + 23 - 3*t**2.\nAnswer: 4*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/81595250 and 99\/200?\nAnswer: 326381000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 plus 279.94826?\nAnswer: 196.94826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Suppose 3*f = 12 - 0. Let i(r) = -4 + 2 - 2*r + 5*r - r. Calculate f*v(a) + i(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) -1185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*k + k**2 - 65*k - 3*k**2 + 2*k.\nAnswer: -2*k**2 - 148*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394*n**5 - 701*n + 1 wrt n.\nAnswer: -7880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2*(-5)\/5). Let r be (-218)\/2158 - 4\/(-52). Is r != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -6*c + 4*c. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(341\/1672))\/((224\/(-24))\/7).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -163*d**2 + 15*d - 13. Determine v(1).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 + 375 = 4*c. Suppose 3*b - 7 = 10*q - c*q, -2*q + 4 = 2*b. Solve 0*o - b = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.3 in 2\/3, -23961, -0.2, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -13*f + 7. Let o(y) = 4*y - 2. Let s(c) = -7*o(c) - 2*p(c). Let g(z) = -2*z. What is s(g(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + ((-1200)\/35)\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1366 - -1949. What are the prime factors of f?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*i - 1. Let b be -1 - ((-163)\/326)\/((-2)\/(-12) - 0). Let w be -3*(-5)\/(-15)*5. Put w, i, b in decreasing order.\nAnswer: i, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2043, 4075, 6093, 8091, 10063, 12003, 13905?\n\"Answer: -m**3 - m**2 + 2042*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**2 - 302*i - 4401. Give z(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5082 and 37\/4777080.\nAnswer: 4777080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13921459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33172793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 88 = -0*s. Suppose l - 70 = -3*a - 0*l, -a + l + s = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*4.02.\nAnswer: 0.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98389595?\nAnswer: 5, 19677919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152330 and 21150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 632374421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*i**3 + 17*i**3 + 51*i**3 - 79*i**3.\nAnswer: -223*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 39*s = 0. Suppose s = -144*f + 141*f + 6. Solve -l - 6 = -f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10197, -10203, -10211, -10221?\nAnswer: -10233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -23, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1034 and 3882952?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o + 1. Determine c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -15. Let p(l) = -87*l + 133. Let q be p(-1). What is the highest common factor of n and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-33 + 43 + (8 + -1 + -11 - 0))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*z**2\/5 + 59896986*z\/5 - 17113428\/5.\nAnswer: 6*(z + 1426119)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6871610?\nAnswer: 2, 5, 687161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1535 or -4\/13?\nAnswer: 1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 37 (b) 1 (c) -3\/8 (d) -17\/15 (e) -2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 163303 + 163354 + 2*m + 2*m**2 to the form y + w*m**2 + r*m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480634920 less than 15.66?\nAnswer: -3480634904.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -747277, -1494517, -2241745, -2988955, -3736141, -4483297?\n\"Answer: r**3 - 747247*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6776, 6802, 6842, 6890, 6940?\nAnswer: 6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:00 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 25843*w**2 - 22*w - 1. What is the remainder when l(1) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 49.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 12*l + 38 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:27 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -231265.1553 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3)*(-10)\/(-4). Suppose -60 = -h*y - 25. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13629 and 46822.\nAnswer: 638137038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 34 + 3*u**3 + 6*u**3 - 5*u**3 as g + l*u**3 + d*u + x*u**2 and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161640883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 7. Let s(p) = -p**2 + 6*p + 6. Let d be s(7). Let m = 8 + d. Is z(m) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/14424085 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**4 - 12*b + 7*b + 7*b)*(-493 - 199 + 119) to q*b + d*b**3 + t + u*b**4 + p*b**2 and give q.\nAnswer: -1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10630 and 270.\nAnswer: 287010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.000872007 + -15.999127373. Let f = 2 + 14. Let m = l + f. Round m to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1971\/36450 - 6\/81)*-15.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12\/(v*v**(2\/9)))\/(v**(-2\/5)\/(v*v**0)) assuming v is positive.\nAnswer: v**(548\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 6, o: 3, f: 1}. Give prob of picking 3 d.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83486, -83487, -83488, -83489?\nAnswer: -83490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 267*w + 21 = 262*w, u + 14 = -4*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 850943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 140*q + 2. Let v(x) = x**2 + 6*x - 2*x + 2*x - 6*x. What is v(z(k))?\nAnswer: 19600*k**2 + 560*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/170 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1093 - -1096. What is the nearest to g in -2, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*3)\/sqrt(4) + (sqrt(216)\/sqrt(6))\/sqrt(3))\/(-6*-2*sqrt(54)*-1).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 36*j - 798. What is c(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20981081.\nAnswer: 11, 1907371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19437*0.1\nAnswer: -1943.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*s - 53108 + 4426 + 3608.\nAnswer: 183*s - 45074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 4*j + 2. Let l be r(4). Suppose -2 = l*a - 26. Solve f - a = -3*s + 7*s, -5*s - 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let r(g) = 14*g**2 - 955*g - 41*g**2 + 955*g. What is w(r(o))?\nAnswer: -729*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -302, -602, -902, -1202?\n\"Answer: -300*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 102*j**2 + 94*j + 371. What is the tens digit of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6746 + -2214. What is the highest common factor of 44 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - -0.38. Let j = 526.93 + 1.07. Let c = j + -529. What is the second smallest value in c, -0.3, r, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -27. Suppose 1 = -2*x + w. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -2 in increasing order.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 20*j + 119. Let l(x) = 7*x + 39. Let w(s) = 8*l(s) - 3*q(s). Differentiate w(m) with respect to m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177055, -177056, -177057, -177058, -177059?\nAnswer: -177060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 46*r**2 - 372*r + 63. Determine h(53).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028709 to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7293, -14611, -21923, -29229, -36529?\n\"Answer: 3*a**2 - 7327*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7209)\/(-243) - 2\/(-6). Solve 10*q = -0*q + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3400*h - 4*h**2 - 10 + 5*h**2 + 3397*h. Determine z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11536 greater than 11535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 5. Let t = m - -6. Let c be 4 + 2 + t*-1. Solve 0 = 4*o - 6 - 6, -2*r = c*o - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 26 = -p, -3*p + 86 = 3*m - 4. Find the second derivative of -p - 8*s + 32 + 3*s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.56*-12.23.\nAnswer: -67.9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-8)\/(-6)) + 28250\/(-35000).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 93341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 + 3*p**4\/8 - 4*p**3\/3 - 14*p**2. Let i be c(-10). Solve i*d + 5*s + 20 = 0, 6*d - 3*s + 14 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16318046 from 2544.\nAnswer: -16315502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -58, 5, 1\/3, 123, 2\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92 + -62?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:21 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1140 - 750 + 115)*(-u**5 + 0*u**5 + 3*u**3 + 4*u**3).\nAnswer: 1775*u**5 - 12425*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-72)\/(-70)) - 1*2\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2486\/208)\/11 + (-2160)\/3456\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6682 = -4*b, -5*b + 7136 = -2*z - 1221. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4\/9))\/g*g**(-2\/5)*g)\/((g**(1\/2)\/g*g)\/g*g*g*g**(-1\/11)) assuming g is positive.\nAnswer: g**(-361\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-1\/62)*(s*s**6)\/s*((s*s**(-1\/8))\/s)\/s)**(2\/3) assuming s is positive.\nAnswer: s**(1213\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 128448.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, f: 3, u: 2, x: 1}. What is prob of sequence fee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 5*n + 2. Let p be h(-3). Let r(d) = -p - d - 2 + 0. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5 + 42. Suppose -f = -2*u + 139, -414 = -5*u - 5*f - 29. Calculate the remainder when u is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*q - 150*q**4 + 4*q**2 + 1 + 2*q**3 - 11*q**2 + 152*q**4 as u*q**3 + d*q**2 + l*q + i*q**4 + p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9927 - -9931. Let r(p) be the third derivative of p**5\/15 - p**4\/8 + p**3\/6 + 2*p**2. Let v be r(3). Solve -i = -5*c - 0*c - 27, x*i = 4*c + v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) + (-11)\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(-4\/25))**(-26)*((u*u*u\/((u**7*u)\/u))\/u*u\/(u\/u**(-2\/5)))\/((u**(-1)*u)\/u**(-1\/3)) assuming u is positive.\nAnswer: u**(-508\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1284 - -1279. Let s(w) = 2*w - 9. Let h(b) = -2*b + 9 + 19 - 4*b. Determine k*h(c) - 16*s(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:18 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let q(s) be the second derivative of -5\/6*s**3 + 0 + 0*s**2 + 3*s. Determine q(g(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1390 divided by -2\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 - 49 = o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 + 96. Let i be 108 + f\/4*(-3)\/(-6). Suppose -3*b + 3*r + 412 = i, 0 = 5*b - 4*r - 506. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 0 - (-10 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164259?\nAnswer: 3, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 50*p - 57*p - k, -5 = 12*k - 13*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrr. Give prob of picking 1 z and 2 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/19796 and -25\/415716.\nAnswer: 415716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + (14 + (-364)\/21)*(-10)\/32 and -19\/99?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-25))\/(9\/30 - 0). Solve -q*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 - -13 - (0 + 1) - 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffgfgccscfgf. Give prob of sequence gf.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p**(-23)*p))\/p)**(-6\/7)*(p\/(p\/(p\/(p**15\/p))))**(13\/5) assuming p is positive.\nAnswer: p**(-1843\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*g - 18 = 15, -13 = -3*p + g. Suppose 4*x - 11 = 2*h + h, h + p = 2*x. Let r = 6 - x. Solve -4*f - 3 = 4*d - 11, 3*f + r*d - 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiiiiiiiiniiiniii.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4259*b - 4792?\nAnswer: 4259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-140)\/(-8))\/5 + 2\/4. Solve 2*x + d = -0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22219 or 8.3?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 0.05125845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Suppose -g + 10 = x, 3*g - 6*g = -x + 6. Let w(f) = -x*f**2 - 6*f - 2 + 10*f**2 + 6. What is w(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2 - 7*k + 25. Suppose -2*a - 1 = 3*p, 3 = -5*p - 2. Let c be -2 + a + (-80)\/8. Let v be m(c). What is v rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/23)*((((d\/(d**8\/d))\/d)\/d)\/d)\/d*d)**35 assuming d is positive.\nAnswer: d**(-7315\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2796, 3276, 3762, 4254, 4752, 5256, 5766?\n\"Answer: 3*p**2 + 471*p + 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240569*p**3*x**2 + 44*p**3 - 2*p*x**2 + 6*p*x - 17*x**2 + x + 1497 wrt p?\nAnswer: 1443414*p*x**2 + 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2128*n**3*u**2 - 174*n**3*u - 2*n**3 - 1416*n**2*u**2 + 4*n**2*u - u**2 - u - 20 wrt n?\nAnswer: -12768*u**2 - 1044*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 122213. Let j(a) = 2*a. What is j(m(w))?\nAnswer: 4*w - 244426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*a**3 + 145*a**3 + 171*a**2 - 35*a**3 - 24*a**3 + 137*a**3 wrt a?\nAnswer: 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 0 + 0 + (-3*d**3 + d**3 + 0*d**3)*(-18*d - 11 + 11).\nAnswer: 34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 5*o + 4*o)*((-3 - 1 + 0)*(-1 - 2 + 2) + 7 - 3 + 8).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.45559696 * -2\nAnswer: -0.91119392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*n**2 + 63*n**2 + 7*n - 7*n**4 - 112*n**2 + (2 + 2*n**3 - 2)*(-2*n + n + 0*n).\nAnswer: -9*n**4 + 7*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - -3*(sqrt(320) - (sqrt(320) + -1)) - -3*sqrt(320)*2)**2 + 3 + 5.\nAnswer: 336*sqrt(5) + 15697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 13. Is -1 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8650*l**2. Let s(w) = -1034*w + 1. Calculate s(x(j)).\nAnswer: -8944100*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7441515 at least 7441518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -347433346806\nAnswer: 347433346806.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2743\/1163 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, 0*y + 2*y + 320 = 5*v. Let h = -62 + v. Suppose 4*j + 3*x = -4, 5*j - 3*x - 30 = h*x. Solve z - j = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 28*a**2 - 29*a + 32. Let z be u(29). Suppose 8 = 31*g - z*g. Let b(c) = -c**2 - 7*c - 3. Determine b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.82, 16, 17, 12, 0.4 in descending order.\nAnswer: 17, 16, 12, 0.4, -0.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.3355 months to years.\nAnswer: 74.944625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 589605 by -5127.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6303 - 6318. What is the nearest to v in 0.4, 3\/5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -38, -33 in descending order.\nAnswer: 4, 3, -33, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 25. Let j(s) = -s - 1. Let f(g) = j(g) + k(g). Let y be f(0). Suppose -3 = 3*n - y. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -4*h + 22, -492*u + 2*h = -495*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = x - 6*x + 3*o, 5*o - 12 = 2*x. Suppose 0 = 5*t - x*t - 38. Round t to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*z + 56*z - 2106 = -25*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 31 = 9. Let k(g) = g**2 - 4*g - 10. Calculate the least common multiple of k(6) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7569*c**2 - 161*c**3 + 2523*c**2 + 2527*c**2 + 2519*c**2.\nAnswer: -161*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1748, -1675, -1556, -1391?\n\"Answer: 23*f**2 + 4*f - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/273 and 89\/16230.\nAnswer: 1476930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + x + 2 = -14, 3*x = -t + 22. Find the second derivative of o**4 + 0*o**4 + t*o**5 + 13 - 6*o + 0*o + 11*o wrt o.\nAnswer: 140*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**3 - 5*v - 4. Let f be t(-3). Let h = 262 + f. Solve -a + 0 = h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752146 is divided by 612?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4*0.3643255.\nAnswer: 0.8743812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 15270*u**2 - 91701*u + 137592.\nAnswer: 3*(u - 3)**2*(u + 5096)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 30. Let z = -9 + d. Suppose 0*j + 3*j = z. Calculate the smallest common multiple of 8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r. Suppose -8*c = -6*c - 10. Solve -c*g - 15 = -r*i - 3*i, 0 = -3*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > 12169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (753\/2)\/((-16)\/288). Let s = d - -11658. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-63) - (-1)\/12. Let l = 0.06 - -0.04. What is the second biggest value in l, w, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + ((1*sqrt(275)*-4)**2 - sqrt(275)))*4.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**4 + 49*k**2 - 15257*k.\nAnswer: -48*k**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608803 is divided by 50727.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -64.\nAnswer: -64, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249 - 55*r**2 + 1249.\nAnswer: -55*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from {b: 1, e: 3, i: 1, k: 2, y: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2366*i - 7103. Calculate a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)*b)\/(b*b**10)*(b**(-20))**47)**(1\/52) assuming b is positive.\nAnswer: b**(-2137\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -0*o. Let a(f) = 3*f - 1 + 2*f**2 + 4*f - 3*f - f**3. Let m be a(3). Is o smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f + 2*f**3 - f**2 + 3*f + 5*f. Let a be d(1). Suppose 37 - 15 = a*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14211564 divided by -1439.\nAnswer: 9876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-24))\/(161\/56 + -3). Let r = 17 + -11. Solve r*u = q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 496 = -19. Suppose 50 - m = -q. Solve 0 = -0*j + q*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107\/4 + 26. Let f be 840\/(-600) + (-219)\/(-135). What is the third smallest value in f, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {x: 3, r: 10, n: 4, e: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*i - 3, -22 = -11*x + 12*x + 5*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 2. Let c be z(-3). Let p(h) = h + 1. Suppose -7 = 2*x - 1. Let y(v) = 2*v + 3. Let r(k) = c*y(k) + x*p(k). Let t(m) = -2*m. What is t(r(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 37 = -s - 4*s, 3*j - 29 = 4*s. Let v be s\/6*9\/(-6). Let y(o) = -o**2 - 2. Calculate y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2554 + 2574. Solve -12*b = 4 + n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = h - 3*h + 10, -u = h. Suppose 0 = h*f + 2*a - 2, -f = -4*a - a - 19. Suppose f*x = 4*m - 44, 2*m + 3*x = m + 7. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423*484.3.\nAnswer: 204858.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) + sqrt(156)*4 + sqrt(156))\/sqrt(12))**2 - -4*sqrt(65)\/sqrt(245).\nAnswer: 4*sqrt(13)\/7 + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*c + 3, -5*c - 1660 - 1660 = 6*z - 3317 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/((-26)\/19))\/((-1)\/3). What is the greatest common factor of 34257 and l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1, -131, -2300 in descending order.\nAnswer: 5, -1, -5, -131, -2300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 9 = -2*r, -25 = -2*n + 5*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 97.6. Do d and 0.08 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -18. Let j = w - 17. Suppose 5*v + 3*n - 10 = 0, -n + j = -5. Which is the closest to -0.1? (a) -4 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2962846 - -457154. What is b rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 338546\/(-6061) + 56 + 1\/(-19).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/28165 or 0?\nAnswer: -11\/28165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 19*w - 12 = 4*m + 14 - 46, 5*m - 305 = 7*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(n*n**2)*n))\/(n\/(n\/(n**(-9)*n))))\/(n**11*((n*(n\/(n*n\/(n*n*n\/n**(1\/8)*n*n))*n*n)\/n)\/n)\/n*n))**(-12\/11))**(-45) assuming n is positive.\nAnswer: n**(-6345\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 (base 16) in base 4?\nAnswer: 2120203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111010111 (base 2) to base 6.\nAnswer: 55211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 90*b**2 - b. Let c be k(-1). Let n = 76 - 63. What is the highest common factor of c and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = 4. What is the units digit of 170\/45 + j\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -58144*h - 290727. Determine u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2804\/15 + 526\/3. What is the common denominator of l and 93\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184106, 184106, 184104, 184100?\nAnswer: 184094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40174, 80349, 120526, 160705, 200886, 241069, 281254?\n\"Answer: g**2 + 40172*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**7\/210 + 7*a**6\/150 + 9*a**5\/100 - 7*a**4\/60 - 4*a**3\/15 + 95*a. Suppose k(w) = 0. Calculate w.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 35*t**3 + 0*t**2 + 0*t**2 + 1 + t**2 - 64*t + 63*t. Let b = 1 + 0. Does 16 divide j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 1016*o\/5 - 1006.\nAnswer: -2*(o - 503)*(o - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1412 = -24*u + 14708. What are the prime factors of u?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32 + 16 + 14)\/((-4)\/10). Let v be 9\/(-5)*2\/(-3). What is the fourth smallest value in 0.1, h, -6, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41462 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + -42. Let j be s\/((-5)\/2 - -1). Calculate the greatest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63)\/sqrt(9) - (sqrt(567) + -2))**2 + (sqrt(84)\/sqrt(3)*-5)\/(-1*sqrt(484) - sqrt(4)).\nAnswer: -331*sqrt(7)\/12 + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.6761 * -3\nAnswer: -17.0283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 6*t**2 - 3 - 6)*(-21 + 21 - 5*t**2) in the form n*t**3 + p + a*t + l*t**4 + m*t**2 and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116775814?\nAnswer: 2, 58387907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 - 155. Solve -11*u - d + 61 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 + 4*g**2 - 9*g - 19. Let i be -4 - 0\/(-4 + 8). Is x(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62124 - 24107. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225715 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 22 = -4*p, 32114 = -2*m + 42*p + 32184 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Let s = -2 + m. Let h = 22 - 17. Solve 0*k + h*g - 11 = 2*k, -4*k = -3*g + s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592191.7ng to grams.\nAnswer: 0.0005921917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 59.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/(-20) + 4\/10. Let s = q - -3. Solve s = 2*l + l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-5) - 2 - (-2292)\/30. Suppose 120 = j*n - 73*n. What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - 2 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/42)\/(7\/(-3430)*-35)?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696376*d**3 + 348191*d**3 + 4 - 4 + 348186*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 bigger than 595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 15*h + 35*h**2 - 8*h**2 - 13 - 10*h**2. What is the smallest common multiple of u(16) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 23. Let j be p(-4). What is the highest common factor of j and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 16*v**2 + 0*v**2 + (0*v + 2*v - 3*v + 2)*(-v - 2*v + v).\nAnswer: -11*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-84) + (-45)\/12)\/(1 + -13 + 53).\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -114 - (458 + -475) - -33.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in 6449, -14, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 9*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/8 (b) -0.4 (c) 3\/2 (d) 0.2 (e) -3 (f) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 6*n - 1 + 1.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/27 and -35\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 5, -74, 315 in decreasing order.\nAnswer: 315, 5, 3, -10, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0302 times 350.4?\nAnswer: -10.58208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2034.725 centuries to millennia.\nAnswer: 203.4725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82410 and 115374.\nAnswer: 576870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 + 7464*g**3\/7 - 22374*g**2\/7 - 8*g\/7 + 29832\/7 = 0. What is g?\nAnswer: -1, 2, 3729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 10. Let u(m) be the third derivative of -5*m**4\/24 - 2*m**3\/3 + 3*m**2 - 469*m - 1. Determine u(g(q)).\nAnswer: 10*q - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = b, -4*b = -3*x - 0 - 18. Is (-74)\/3*(-9)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((2 - -1 - 0) + 25 + -28)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 16 + 444*l**2 + 2*l + 198*l**2 - 97*l**2 as j*l**2 + g + u*l and give j.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38150 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 3, v: 1, u: 3, k: 2, f: 1}. What is prob of sequence kfo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/5)*q**(1\/20))\/(q\/q**(-1\/49)*q**(-9)*q*q))**(17\/6) assuming q is positive.\nAnswer: q**(37927\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.8 + -31. What is the nearest to 1\/4 in 2, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 17*v**2 + 2*v**3 - 7.\nAnswer: 2*v**3 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2547255\/58 + 43917. Suppose 14*l + 112415 = -92391. Let n = l + 233973\/16. Calculate the common denominator of n and g.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 16 = x, -10*x = -15*x - 5*h + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 981 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 + 4*x - 3. Let m(u) = u**3 + 7*u**2 - 9*u + 6. Give -3*m(v) - 7*z(v).\nAnswer: -3*v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1262*m - 15*m**4 - 1262*m + m**4 + 3*m**4 - 5*m**4 + m**3 - m**3 + 2*m**4 + (-1 - 4 + 3)*(-2*m**4 - m + m) - m**4 + 3*m**4 - 3*m**4.\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 450.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 42775550?\nAnswer: -42775545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 967 - 3*g**3 - 1899 + 968 + g. Let z(k) = -2*k**2. Give -2*c(t) + 6*z(t).\nAnswer: 6*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/96*-6*(-440)\/(-2530).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-2)\/(-6))\/((-3)\/9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -67*j - 477 - 431 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*y + 0)*(-y + 0*y + 3*y) - 16*y**2 + 40*y**2 - 2*y**2 as a*y + h + i*y**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = -4*q + 30, 4*q + 3*v - 49 = 0. Suppose 0 = k - 3*k + 50. What is the greatest common divisor of q and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 38*2\/16*(-5 - -3157)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 965.1291ml?\nAnswer: 0.9651291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 40. Solve -b*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -4. Let u(w) = -w**2 + 7*w + 8. What is u(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 10*i**2 + 6. Let o be p(-10). Is o less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 292\/389 or 0.4?\nAnswer: 292\/389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 + 3*f - 3. Let p be q(5). Solve -3*r - 5*m + 8 = -4*m, 0 = -2*r - 2*m + p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4527, -8734, -12615, -16170, -19399?\n\"Answer: 163*q**2 - 4696*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2679.9 and -0.07491.\nAnswer: -2679.97491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (147\/539)\/((-171)\/(-8151))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*h**2 - 164 - 156 + 320.\nAnswer: -256*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203034*k**3*n**2*p - 80*k**3*p**2 + 4*k**3 - 2*k*n**2*p**2 - 30*n wrt n.\nAnswer: -406068*k**3*p - 4*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97775974729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2277 divided by -4\nAnswer: 2277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 181, 180, 179, 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*a + 5 - 99*a - 4 + 1 as q*a + u and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/9)\/((-68)\/612). Let v(h) = 2*h**l - 20359 + 20359. Let w(o) = -o. Let a(j) = 2*j. Let c(r) = -a(r) - w(r). Determine v(c(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -98?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51105974*i**2 + 45211176*i.\nAnswer: 102211948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 20382*y - 40752.\nAnswer: -3*(y - 6792)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20101 (base 3) to base 10.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -144, -135, -126?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 - 666*w + 36963 = 0. Calculate w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1900) + sqrt(1900) + 1 + -5)**2 + (((sqrt(1900) + 0)*3 - sqrt(1900)) + sqrt(1900))**2) + -3.\nAnswer: -98867 + 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-six fifths of a minute?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-6)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n = 110*n - 1932. What is the remainder when 122 is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -285?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18545147 and 4.\nAnswer: 18545151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-12) - 40\/(-30)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 36*p**2 - 47*p + 9. Let j be d(-19). Suppose -15*h - 72 = -16*h. Calculate the greatest common factor of j and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47924783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4161 in increasing order.\nAnswer: -4161, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (13\/52 + (-38)\/(-8) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*3*4)*3)\/(sqrt(30)\/sqrt(48) - sqrt(80)\/(sqrt(8) + sqrt(288))).\nAnswer: 364*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + o + 1. Let m(t) = 4*t + 73. Let k be m(-19). Let s(h) = -2*h**2 - 29*h - 197. Let c(j) = k*l(j) - 3*s(j). Factor c(q).\nAnswer: 3*(q + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p**(-13))\/(p**(-1\/5)\/(p\/(p\/p**(1\/4))*p)) assuming p is positive.\nAnswer: p**(-291\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f8b7 (base 16) to base 2.\nAnswer: 1001111100010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:59 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = i - 2, -3*l + 2 + 16 = -3*i - 5*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 3034?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -83*d + 6309. Let g be y(76). What is the highest common factor of g and 2937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9171 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 5*y - 1. Let r(f) = 3*f**2 + 6*f - 1. Let c(h) = -4*b(h) + 3*r(h). Solve c(a) = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 4*m - 1. Let j be w(-5). Suppose q + j*q - 40 = 0. Suppose -4*p + q = -4*o, -3*p + 5*p = -4*o + 22. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*j - 150 = 154*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (430\/(-40))\/(20\/(-80)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(144)*-2 - sqrt(144))*6)\/sqrt(4))\/(-2*sqrt(432) + sqrt(1200)*-1 + sqrt(1200)).\nAnswer: 3*sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(363)*2 + sqrt(363))*-6)**2.\nAnswer: -117616 + 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/(-249))\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5766 and 70\/279?\nAnswer: 17298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 36619749?\nAnswer: 36619749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 16*r**2 - 6*r + 13. Let k be q(14). Does 7 divide 10\/(-35) + (k\/7)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {q: 1, f: 2, i: 2, u: 7, p: 4, t: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.504 or 3463?\nAnswer: 3463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -583707.09 to the nearest one hundred.\nAnswer: -583700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 722, -0.2, 6, -3.86 in increasing order.\nAnswer: -3.86, -0.2, -0.1, 6, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Suppose 2*t + 2*a + 3*a - 91 = 0, k = 3*t - 3*a - 84. Let q = 1 + t. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95\/267 + 2\/89. What is the nearest to 0 in -4, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbxx when four letters picked without replacement from {x: 10, b: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0 + 66*y**2 + 1\/12*y**5 + y + 45\/2*y**3 + 5\/2*y**4. Factor u(b).\nAnswer: 5*(b + 3)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0948*8.\nAnswer: -0.7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) 0.02 (c) -2064666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*l*n**3 - 25903*b**2*l + b*l*n**3 - b*l*n + 2070*b*n**3 + b - 2*n**2 wrt b?\nAnswer: 4*l*n**3 - 51806*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-99)\/(-18) - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5712 and 544.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26013 is divided by 542.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 1. Let h be m(0). Let n be (2 - h) + 5699999*3. What is n rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.4, 0.2, -0.03, 2819 in descending order.\nAnswer: 2819, 0.4, 0.2, -0.03, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((220\/(-12))\/((-2525)\/(-202)))\/((-9)\/15)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 9*u**2 + 0*u + 19\/3*u**3 + 0 + 1\/24*u**4. What is the lowest common multiple of 9 and c(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034785 = -d + 1034743 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, 0.5, 6?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 7*i - 12. Let u be l(10). Suppose 3*r - u = 27. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -38. Solve 4*i = 3*m + 16, 0*i = -5*i + p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.2137969?\nAnswer: -3.7862031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -17*c**4\/6 + 131*c**2\/2 - 26*c + 4. What is the first derivative of y(z) wrt z?\nAnswer: -68*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t + 6*t**5 + 95 - t**5 + 192*t**3 - 4*t**5 + 49 wrt t.\nAnswer: 20*t**3 + 1152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2794*y**3 + 2374*y**2. Let f(b) = -2797*b**3 - 2373*b**2. Let p(o) = 6*a(o) + 5*f(o). What is the third derivative of p(w) wrt w?\nAnswer: 16674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1 (c) 1\/11 (d) 110.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 24*f**2 - 52*f + 4. Let d be g(26). Suppose -10*z + 16 = -d. Solve z*r + b - 2*b = 7, -r - 24 = 5*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32233, -3, -1, -6.\nAnswer: -6, -3, -1, 1, 32233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. What is the third biggest value in -4\/5, 5, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/609679 and 26\/93455081?\nAnswer: 654185567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 - -73?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*y**2 - 38*y**2 - 51*y**2.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + 1004133231?\nAnswer: 1004133200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2437507635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-425070)\/(-12)*-1*(13 + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84915301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 1, z: 1, x: 2, n: 3}. What is prob of sequence on?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5 + 105*t**4 - 255*t**3 - 4865*t**2 + 10050*t - 5040 = 0. What is t?\nAnswer: -21, -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028257 to 6 decimal places.\nAnswer: 0.000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*2*(6 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*(-9 - 4064\/(-456))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24106 + 24106 + 784*u**3)*(3 - 1 + 1).\nAnswer: 2352*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/42*(-20)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 30 - 28) + 2 + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n**2 - 8*n + 3*n)*(1 + 18 + 2).\nAnswer: -42*n**2 - 147*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10 - 65\/25)*(-81)\/(-972).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Suppose -2*l - 3*l + 260 = u. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 600 - 214. Suppose 4*u - 100 = -w, -58 + a = 3*w + 5*u. List the prime factors of 4\/(-14) - w\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -16.9615?\nAnswer: 11.9615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43946 divided by 6.\nAnswer: 21973\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1031797.7 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27853, 27864, 27875?\n\"Answer: 11*t + 27842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 396*27\/(-540)*2\/(48\/(-10)). Determine y so that s*y - 3\/8*y**3 - 15\/8*y**2 - 6 = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 10 + 9 + 28 + 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -53*c + 6637. Determine a(126).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 + -10)*12\/(-14). Suppose k = -0*k + c. What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/5 = -120.19561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 422 = -3*t + 429, -5*g = -t - 35. Let z be 6\/(-14)*14\/4. What is the nearest to g in 3\/4, z, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71658 (base 15) in base 2?\nAnswer: -1010111101100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = 3*t, 5*t + 0*t + 5 = -2*v. Suppose -3*z + 3 - 6 = v. Let k be (-4 + 5)*1\/z. Is 1\/19 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0*q + q)*(-q - q + 0*q) in the form t*q**2 + j + d*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*x + 48, 6*x - 102 = -4*g + 4*x. Factor -14*d**4 - 45*d**2 + g*d**4 + 21*d**3 - 12*d**5 + 51*d**2.\nAnswer: -3*d**2*(d - 2)*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let l(r) = 2990 + 1359*r - 1496 - 1494. Calculate f(l(d)).\nAnswer: 1359*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3843 = 1232*n - 8477 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 37)*(-4)\/12. Suppose g = -g + 2*p + u, 0 = 4*p + 8. Let m be g - (-4 + 2 + -22). Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d - d)*(4 - 3 + 0)*(-1113 + 175 - 13) to the form h*d + b and give h.\nAnswer: 951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8aae (base 16) to base 2.\nAnswer: -1000101010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose 0 = -5*b - t*h - 0*h + 1780, 5*h = -2*b + 712. Find the common denominator of 4\/(-14) + b\/(-126) and -61\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8591*a**5*i - 479*a**5 + 10*a**2 + 269747*i wrt a?\nAnswer: -515460*a**2*i - 28740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 5*f - 127, 8*a - 214*f + 221 = -662*f + 217*f + 220*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:46 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 23284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1190 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37000 + 7?\nAnswer: 37007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2. Let v(m) be the first derivative of 5*m**3 + 42. What is v(p(z))?\nAnswer: 135*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7aab97 - 0?\nAnswer: 7aab97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 1, 11\/6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + 2.01. Let m = -396 + 398. Let v = 0.3 + -0.2. What is the nearest to s in m, -1\/4, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*h**4\/5 - 224*h**3\/5 - 228*h**2\/5 - 72*h\/5.\nAnswer: -4*h*(h + 2)*(4*h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*h**3 + 1176*h**2 + 16*h - 96.\nAnswer: -4*(h - 6)*(7*h - 2)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146246?\nAnswer: 2, 83, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18)*3*(-27)\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0\/(18\/3). Let p(j) = j**3 + j**2 - 17*j + 4. Let f be p(s). Solve -5*r = -3*v - 10, -f = 3*r - 5*r + 5*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191256.\nAnswer: 2, 3, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4\/3 - 52*n**3\/3 - 174*n**2 - 73*n. Factor q(s).\nAnswer: 4*(s - 29)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245*z + 5*z**4 + 18*z**4 + 487*z - 304*z wrt z.\nAnswer: 276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9702289 millilitres to litres.\nAnswer: 0.0009702289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*l + 5 = d, 16 = 2*d + 5*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 9 - 3. Let b be ((-363)\/(-66))\/((o\/2)\/(-1)). Solve 6*t = b + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6683*g - 115 + 115.\nAnswer: -6683*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.754, 3\/5, 3\/4, -2, 8, 1 in descending order.\nAnswer: 8, 1.754, 1, 3\/4, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -23*g**5\/15 + 13*g**4\/24 + g**3\/3 - 62*g**2. What is the second derivative of u(a) wrt a?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1487.43 + 1487. Round o to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20818509\/11494 + 3\/22988. Let i = 1788 + v. Calculate the common denominator of -37\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1)))**(-25)*c**(-7)\/c*c*c**(-8\/3) assuming c is positive.\nAnswer: c**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3064 - -3064.2. Which is the nearest to 1\/4? (a) m (b) -1\/2 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16004*p + 1550 = 16159*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykyqgktykyykk. Give prob of sequence qg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 2 - 3668*o**2 - 15*o + 30*o + 0.\nAnswer: -3668*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let w be 8\/(-40)*20\/10. What is the closest to s in w, -2\/3, 1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38b2c (base 14) to base 4\nAnswer: -202002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 4*u - 5*u - 11*u.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 9 = 0. Let o be (-15)\/10*(-74)\/c. Let s = o + 85. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014.3891us in minutes?\nAnswer: 0.000016906485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - 0.02218.\nAnswer: 104.97782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*q + 79*q - 793 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -52. What is the remainder when 67 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -4*r**3\/3 - 14*r**2\/5 - 8*r\/5 - 3. Factor q(z).\nAnswer: -4*(z + 1)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -626*j + 2528*j - 13314 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) 370 (c) -0.561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5233\/4 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 12*g + 5. Let b be s(12). Suppose 0 = -o + 2*o + b*d - 40, 2*d = 5*o - 92. What is the greatest common factor of 90 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 7*z**5\/60 + 13*z**4\/24 - 15*z**3\/2 - 4*z**2 - z. Does 11 divide l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v**3 + 7*v**2 - 6*v + 1. What is the hundreds digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 42*k - 4*q + 9452, 4*k - 7563 = -3*q. What is the smallest common multiple of k and 1659?\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) - (-94)\/8. Suppose 0 = 3*a - 5*a + 2*p + n, -3*a + 8 = 2*p. Suppose 4*z = 2*z + a. Solve 0*x - z*x + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 256\/3931, -0.5, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.2, 256\/3931, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*r + r. Suppose 3*a + g = 26, a + g = -2*g + 14. Suppose -n + 6 + a = 0. What is the remainder when n is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-2 - (-1 + 0)) + 0). Does 21 divide (6\/12)\/(v\/14)*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noekk. Give prob of picking 1 n and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5461654?\nAnswer: 2, 11, 248257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18363.18043 rounded to one decimal place?\nAnswer: 18363.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6*w - 47*i**6 - 17*i**4 - 3*i**2*w - 79*i*w - 8 wrt i?\nAnswer: 240*i**3*w - 5640*i**3 - 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-1)\/24)\/((-3)\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3445*x**4 + 972 wrt x?\nAnswer: -13780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (2 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 43710366.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 10*t**2 + 11*t + 11. Let h be p(11). Factor 16*l**2 - 24*l**2 + h*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -10?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9 + 0 = 2*t, p - 4*t = -9. Sort p, 6, 1.\nAnswer: p, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhttthvhtmhhhhht. What is prob of sequence htt?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.9338 decades to centuries.\nAnswer: 72.29338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234306739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -547 + 583*v - 420 + 323 wrt v.\nAnswer: 583","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/4 (b) -1 (c) -1\/3 (d) 3\/41 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*((q\/((q\/(q*(q*q**6*q)\/q))\/q))\/q)\/q)\/(q\/q**(-4)*q\/q**(-5\/3)) assuming q is positive.\nAnswer: q**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 55*n**3 + 2*n**2 + 3*n**2 + 54*n**3 + 4 + 2 to h*n**2 + v*n + s*n**3 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*(0 + 33)*80\/160.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(1\/15). Let p = 25 - c. Let r = 21 - p. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 + -11?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -4014.\nAnswer: -1204.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + o**2 - 3*o - 2. Let s be y(4). Suppose -5*q - 137 = 4*x + 110, -3*q - 2*x = 147. Let h = q - s. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-570.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -72, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, -7, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1 (c) -232 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 217, 231, 245, 259, 273, 287?\n\"Answer: 14*q + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*(-1)\/(21\/(-70))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:31 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 2*s - 4*s + (-1 - 1 - 3)*(7 + 2*s - 7) as o*s + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1872 and 288?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29945234 and 209506?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2967, 5950, 8907, 11844, 14767, 17682?\nAnswer: 20595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3 and -101\/14136.\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 74\/3. Let c be ((-1)\/(-3))\/(8\/6). Sort 2, c, y in decreasing order.\nAnswer: 2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564860*v + 2 = -564858*v - 4*y, 5*y = -4*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 12*h + 1. Let c = 18 + -6. Let t = 7 - c. Is a(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {o: 2, s: 2, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(0 - 37) + (0 - 0). Let i = u - 37. Sort i, -3, 21 in increasing order.\nAnswer: -3, i, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506806 divided by 2.\nAnswer: -253403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 + 13156*h**4 - 2*h**3 + 16245*h**2 + h wrt h.\nAnswer: 120*h**2 + 315744*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 38 - 12*t + 5*t - 38 + 3*t + 8*t**2.\nAnswer: 8*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 3*m. Let w be i(-4). Let y be (0 - w\/10) + 0. Let o = 408 - 404. Is o <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l + 40. Let x = 14 + l. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*c + 136, b = -4*b - 25. Suppose -a = 11 - c. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.854038 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7412 + -66706\/9. Let i = 1615\/1407 + -1\/201. Which is the closest to 0.1? (a) i (b) o (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -80*n**2 + n. Let u(r) = -580*r. Calculate g(u(c)).\nAnswer: -26912000*c**2 - 580*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, 11, 53, 131, 257, 443?\n\"Answer: 2*x**3 + 4*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14535065 (base 7) to base 4.\nAnswer: 11102222003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 207801 - 208206 = 0 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - (-14 + (-2 - 11)) - (-7 + 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 - 57. Let o be -1 + 3 + (-2 - 0). Let p be i(o). Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3092 by -773.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13816?\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, 17, 3 in descending order.\nAnswer: 17, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304633 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehaqmaqhaehaleaamqq. What is prob of picking 1 e, 1 q, 1 l, and 1 a?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:27 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 + 582*l + 115128841 - 115128841 as j + p*l**2 + u*l and give u.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02521 - -0.68949. What is j rounded to two dps?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -393.\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r - 1009493335 = -73*r. Let x = r - 107498667. Round x to the nearest 1000000.\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99154097?\nAnswer: 7, 61, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in -63, 49\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, -3, -145, 615, -0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 23\/2*y**2 + 0 - 19\/3*y**3 - 9\/4*y**4 + 41\/10*y**5 + 23*y. Let d be b(-17). Round d to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let r(m) be the second derivative of 2*m**3\/3 - 3*m**2\/2 + 36*m. Determine 3*j(n) - r(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-2 - 3*d + 5 - 6).\nAnswer: -3*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*o - 9, 0 = -4*f + o - 4 - 5. What are the prime factors of (323\/76)\/(f\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {k: 1, e: 2, i: 3, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:24 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2327 and 3.\nAnswer: -6981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -8*h + h. Suppose 39*q - h*q = -148. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71487 divided by -507.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*y - 3*y, 5*l = 0. Let a = y - 2. Let q = 4 + a. Solve -q*b + 5*b + 11 = -j, 15 = -j - 5*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lullulllllllllllllll. What is prob of sequence luul?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 791545 less than -0.024?\nAnswer: -791545.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741706 divided by 3418.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, u: 1, m: 10, i: 1}. Give prob of sequence um.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/(5 + 55\/(-10)). Is -0.1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 8. Let s be l(16). Let f = -2549\/30 + 419\/5. Calculate the common denominator of f and (-62)\/8*s\/429.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*v - 2*t, 7*v - 61 = 3*v + 5*t. Let y = -31 - -102. Suppose -4*h + y = -69. Calculate the remainder when h is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16399.096 - 16477. Let f = x + 78. Let b = f - 11.496. Round b to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/6193 + 1715811\/309650. Let a = i - 71\/25. Find the common denominator of a and 13\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1299*b**3 + b**2 - b - 1. Let o = -5 + 4. Let d be p(o). Let w be (d*400)\/((-2)\/(-30)). What is w rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1792 and -93\/640.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.161649 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218, 219, 220?\n\"Answer: r + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6*h)\/(h*h\/h**(1\/9))*(h**(-1))**(-5\/2))\/((h\/h**6)\/(h*h**2))**(2\/3) assuming h is positive.\nAnswer: h**(251\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11\/66*(-8)\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.1, 1, -109, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 13201*f**2 - 52791*f - 8. Determine a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 2\/17 (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(25)\/sqrt(5) + 4)**2.\nAnswer: 17 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 35*i - 236. Let c be s(5). Sort -3, -1, 1, c in descending order.\nAnswer: 1, -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19258697.7ns in days?\nAnswer: 0.00000022290159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*q**2 - 3*q - 318*q**2 + 643*q**2 - 22*q + 16.\nAnswer: 7*q**2 - 25*q + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 44998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.967117 centuries in years?\nAnswer: 296.7117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 31*q - 23. Let w be u(32). Let l be 3\/18*1 - 6\/w. Let r = -12 - -16. Which is the fourth smallest value? (a) r (b) -3\/2 (c) l (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -27, -54, -101, -174, -279?\n\"Answer: -m**3 - m**2 - 3*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d + d. Suppose -d*i + 0 = 12. What is the units digit of (2 + i)\/(-1) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s**2 + 7*s - 6. Give r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192065136 + 2350.3.\nAnswer: 192067486.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/85532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7627230 to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 220428.4 rounded to the nearest one hundred?\nAnswer: 220400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/10 + 8*j**4\/3 + j**3\/6 - 7*j**2 + 863*j + 2. What is d(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c + 28249 = -19991. Let g = c - -1792. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.7 - -10.3. Let l = u + -67.71. Let m = l + -0.49. What is the closest to 0 in 1, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2057)*3)**2 + (sqrt(2057) + -2)*-1.\nAnswer: -37024 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (((1 + sqrt(7))*4)**2 - sqrt(7)) + sqrt(56)\/(sqrt(48)\/sqrt(6))).\nAnswer: 64*sqrt(7) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*f**3 + 527*f**3 - 4*f - 4*f**2 - 4 + 2*f - 261*f**3 as r + s*f**3 + i*f + q*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkkvuvkvkk. What is prob of picking 3 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 4. Suppose 2*d = 5*d + 4*r - 272, -4*d + 4*r = -316. Let f = 132 - d. Suppose f - 20 = 7*c. Determine h(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598, 596, 592, 586?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 233?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35723 + 52697. What are the prime factors of g?\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 471199 + -470926.3842. Let l = -272.9 + o. What is l rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 13, -61176, 4, -5 in ascending order.\nAnswer: -61176, -17, -5, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 2*i. Let x be (6\/(-10))\/((-17)\/85). What is y(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 16*v**2 + 16*v + 18. Let n be y(-15). Suppose 2*l + 15*l**3 - 16*l**2 - 6*l**3 + 23*l**n = 0. What is l?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2003 + 2878. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77580 and 1238694.\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14272, -28613, -42940, -57247, -71528?\n\"Answer: j**3 + j**2 - 14351*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1067 + -910. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g - 2*g - 4*g. Suppose -k + 4*u - 12 = 0, -3*u = 5*k - 0*u - 55. Let z(w) = -3*w - 8*w + 20*w - k*w. Determine z(r(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*6*((-2)\/36)\/((-21)\/14). Let n*q - 8\/9*q**3 - 16\/9 + 2\/9*q**4 - 2\/3*q**2 = 0. Calculate q.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 1434. Let k be i(0). Is k\/(1 + 0 - 1 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 110*h**2 - 3*h)*(-3*h - 2*h**2 - 1 + 1).\nAnswer: 220*h**4 + 330*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4, 3*r = -4*d - r. Let b = 5 + d. Let y = 8 - 5. Solve -2*q - b - 19 = 5*t, -y*t - q = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1188 and 7849116.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/144 and 55\/168.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/4, 3, -2, -3.279, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 + 1400971*x**3 - 2*x**2 - x + 113509?\nAnswer: -24*x + 8405826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) -12 (c) 5 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/42 + 2*z**3\/7 - 9*z**2\/7 - 6*z. Factor v(j).\nAnswer: -2*(j - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/868 + (-232)\/1008.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1057 < 6\/33497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 405, 819, 1239, 1665, 2097?\n\"Answer: 3*d**2 + 405*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a factor of 115062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -389725138*t - 37290694.\nAnswer: -389725138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {n: 2, m: 1, f: 2, r: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -731\nAnswer: -146.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = s - 3, -4*v - 2*s = 2*s - 12. Suppose v = -0*f + f + 1. Let r = f - -8. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from wmwmmmmmmwwwmmmmwm?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.054488531 from -0.9.\nAnswer: -0.845511469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 695660*d**2 - 24197837425*d + 48392892250.\nAnswer: -5*(d - 69565)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -53. Put 0, 2\/15, 2, g in ascending order.\nAnswer: 0, 2\/15, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 13) to base 5\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/17852276 and -107\/3433130?\nAnswer: 89261380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -78. Solve 0 = -i*l + 2 + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -45) + 2 + (1694\/113 - 3)?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 2, y: 8, r: 7}. What is prob of picking 1 b and 2 r?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 140\/16 + 0 + (-6)\/8. Let f be (5 + -6)\/((-18)\/c - -2). Suppose -f = d - 7. Solve 4*r - y - 23 = -d, -r - 3*y - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**4 - y**3 - 9*y + 1. Let r(v) = 1839*v**4 + 6*v**3 + 54*v + 4759. Let t(j) = r(j) + 6*w(j). What is the derivative of t(a) wrt a?\nAnswer: 7332*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/17, 624, 0, -1 in decreasing order.\nAnswer: 624, 10, 2\/17, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + a - 14 = -39, -s - 2*a - 6 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 - 7*o - 9. Let q be w(-6). Let y = 48.6 - 60.6. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -774\/5 + 96752\/625. Let h = 757\/41250 - u. Find the common denominator of -37\/14 and h.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y + 45*y + 41 = -4*p, 0 = -p - 3*y - 29. Let l be (-10)\/(-70) + 6\/p. Put l, -0.3, -3\/7 in decreasing order.\nAnswer: l, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*f + 34994, 5*f - 34989 = -5*w + 6*w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-25))\/(5\/((-250)\/4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 10*p + 10. What is the remainder when y(-5) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1\/9, 2\/9, 4, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 7 + -3 - (-24 - -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300512 (base 8) to base 2.\nAnswer: 11000000101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - z**2 + 0*z**2)*(3 - 2 - 2) + 32 - 5*z**2 - 32 + z - 2*z**2 - z as b + n*z**2 + i*z and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7335702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 9 + 57. Let i be 1152\/1344 + (-1842)\/(-7). What is the highest common divisor of i and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*n = 18 - 4, -2*j = 5*n - 21. Let z(p) = -p + 1. Let u(g) = 2*g - 5. Determine j*u(k) - 10*z(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14816 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from qqrhuqqrtrhql?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**7\/21 + f**6\/6 + f**4\/12 + 35*f**3\/6 - 83*f. Find the third derivative of w(o) wrt o.\nAnswer: 120*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522 bigger than -8249.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + 2)**2 + (sqrt(85)\/sqrt(5)*4 + sqrt(17))**2.\nAnswer: 32*sqrt(17) + 1517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85930920 by -114.\nAnswer: 753780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 - 372*f - 20218\/5 = 0.\nAnswer: -919, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 48*h - 129. Let r(l) = -2*l - 341. Calculate o(r(b)).\nAnswer: -96*b - 16497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 156726971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 0 - 2\/(-2). Let g(l) = -2*l**3 - 3*l**2 + 7*l + 10. Let d be g(o). Suppose 3*a - 2*p = 3*p + d, -5*p - 95 = -2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 397502?\nAnswer: -3974b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-16))\/((-4)\/960). Let w = m - 596\/5. Which is the closest to 0? (a) -3 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -93. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120\/((9\/(-6))\/(-1)). Suppose 5*h + 5*b - k = 0, -h - 3*b = 3*h - 60. What is the lowest common multiple of 10 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763421 divided by -1739.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/398? (a) -15.3 (b) 0.34 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 4566*o**2 - 48 - 55 + 165 + 2*o.\nAnswer: -4566*o**2 + 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3996\/14 - (9 - 60\/7)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 8*x + 5. Let u(s) = 2*s**2 + 7*s - 6. Suppose -h + 10 = z + 2, -4*z = -12. Let b(q) = h*u(q) + 4*n(q). What is the units digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 7*g**4\/4 - 5*g**3\/3 - 5*g - 38. Let m(z) = -8*z**3 + 6*z**2 + 6. Let i be -5*2*2\/4. Calculate i*m(b) - 6*k(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w. Let i(g) = -159*g + 3. Let l(m) = -153*m + 4. Let r(c) = -4*i(c) + 3*l(c). Give r(b(p)).\nAnswer: -531*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*x + (1 - x - 1)*(-4 - 1 + 6) - 61*x - 4411 + 4411 + 1 + x - 1 + (0 + 2 + 0)*(-x - 2*x + 4*x) to i*x + z and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -7 + -26 - -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g + 0*g**2 + g**2 + g**3 - 3 - 8*g**2 + 10. Suppose 12 = 4*a + 5*h - 37, -47 = -4*a - 3*h. Calculate the least common multiple of a and w(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 10*d + 99. Let t be l(-16). Suppose -t*m + 24 = 3*h, -16 = -m - 9*h + 4*h. What is the least common multiple of 2 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 25*h - 264. Let z(y) = -24*y + 220. Let w(n) = 5*s(n) + 6*z(n). Let a(m) = 5*m**2. What is w(a(q))?\nAnswer: -95*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43260 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 1920 = -3*b. Let p = -288 + b. Calculate the greatest common divisor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 - -1620. Let g = -1639.4 + m. What is g rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6624 - 19883 + 6639 + 6620 + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -7*z**2\/2 - 4*z + 78. Let o = -3 - -5. Let a(d) = -26*d - 27 + o*d - 24*d. Determine 4*a(h) - 27*l(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 49978?\nAnswer: 499780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32947646.\nAnswer: 2, 419, 39317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 22 = 3*t, -140*d = -5*t - 144*d + 25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 14*r**2 + 15*r + 36. Suppose -b - 2*g = 7, 8*b - 10*b - 41 = -5*g. Let n be i(b). Solve -3*l + 5 + n = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from vmmqmiqmiuq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -99*m - 3. Let g(p) = 2*p. Calculate d(g(h)).\nAnswer: -198*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -8*i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g - 1. Let l(s) = -22*s + 4. Let m(d) = -4*l(d) - 11*p(d). Differentiate m(r) with respect to r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5 + 7 + 7*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (126\/2)\/1 + (-6)\/3.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((59\/(-236))\/(((-9)\/6)\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2) - (sqrt(2) + -1 + 3)) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -76) + -1 - 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 0) - (-42 + 43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -720.6592543 to the nearest integer.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -73, -5, -1, 1, 6 in decreasing order.\nAnswer: 6, 1, 0, -1, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 124734.9 (c) 20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (184\/(-138))\/(8\/(-30)). Sort -1, -26, -5, b in descending order.\nAnswer: b, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 10*b**2 + 9*b + 4. Let r be f(9). Let w be (r\/80)\/((-2)\/4). What is the closest to 0 in -0.2, w, -4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655570424.\nAnswer: 2, 81946303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let g = 0.1 + -0.3. Let m = -0.02611 - -0.03611. Which is the closest to v? (a) m (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -49*l + 56. Let s be p(-10). Suppose -s = -7*c + 21. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/15, 0.1, 0.3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 5185737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w**2. Let f(i) be the second derivative of 2*i**3 - 107*i. Calculate d(f(m)).\nAnswer: 2304*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11012203214 + -120?\nAnswer: -11012203334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:42 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 500 = -2*r + 462, 5*w - 49 = 3*r for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -41075*5739\nAnswer: -235729425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8879112 divided by 9768.\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 121. Sort 5, 0, z, -3 in decreasing order.\nAnswer: 5, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**3 + 17*i**3 - i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1013*y**2 + 3210*y**2 + 1113*y**2.\nAnswer: 5336*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-19)\/4. Suppose f + 0*f + 3*m - 7 = 0, 12 = 2*f + l*m. Let x(r) = r**2 + r + 2. What is the lowest common multiple of f and x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*b**4 - 8*b**3 - 26 - 165\/4*b**2 - 119\/2*b.\nAnswer: -(b + 1)**2*(b + 4)*(b + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63372?\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 times -0.312?\nAnswer: -34.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 9*z - 297 = -102*b, z = 6*z - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 4. Let m(c) = -2*c**2 + 4*c - 3. Let x be m(3). Let z(a) = -3 + 3 - 1 + 3. Let o(g) = g + 9. What is b*o(t) + x*z(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*c**2 + 7\/3*c + 4.\nAnswer: (c + 3)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -25 - 0\/1. Let b = o + 219. Suppose -b + 3 = -5*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - 2*v - 1. Let f(i) = -3*i**3 + 32*i**2 + 43*i + 9. Let d(c) = -f(c) + 6*m(c). What are the prime factors of d(-9)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -949*l**2 - 1224 wrt l.\nAnswer: -1898*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*r + 5, -r + 9 = -9*q + 5*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14093 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 766*x + 10125. What is u(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1754 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/80*(-370)\/(-18796)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 10*p**3 + 0*p**2 + (-36*p + 4*p + 8*p)*(p**2 + 5*p**2 - 4*p**2) to the form i*p**2 + o*p**3 + m + v*p and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5485 smaller than -5482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -4.7.\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttlttltltt. What is prob of sequence tltt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1848 and -3.574.\nAnswer: -6604.752","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 9 = 0, -32*x + 17*x + 17*x - 12 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from tcttttywtbbwtwwytw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-287)\/615*18\/105*10\/14?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48\/311? (a) -5\/7 (b) 0.2 (c) -5 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 2)*(60*g**2 + 17*g**2 - 12*g**2).\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4233 + -4233.833. What is i rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58929432*0.2.\nAnswer: -11785886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 5. Let a be h(5). Let u = 13 - a. Suppose 0 = -4*b + u + 37. Solve -6*x + x + b = 0, x + 17 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 2. Let c(n) = 3*n**2 + 2*n + 1. Is c(q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*l + 32, 4*y - 4*l = -0*l + 4. Let w(t) = -2 + 5 - y. Let h(p) = p. Suppose -g + 2 + 2 = 0, 5*f + 2*g + 2 = 0. What is f*w(i) + h(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2807 + 399 = 3*a, 9608 = 3*i - a. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d + 71*d - 5*d)*(0*d + 4*d**2 + 0*d).\nAnswer: 352*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 2*m + 16, 4*j - 8 = 4*m. Is j\/48*-2*-87*38 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002479613 rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20. Let g(l) = -l**3 + l**2 + l + 4. Let v be g(0). Suppose -3*z + 25 - v = h. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 - 4*l + 2. What are the prime factors of f(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -214, -426, -640, -856, -1074?\n\"Answer: -j**2 - 209*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from dknnnndiikdd?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009423 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-157)\/(-157))\/(-1*3). Which is the third smallest value? (a) -43 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 + 2*q - 1. Let g(f) = 8*f**2 + 2*f. Determine -5*g(t) + 6*k(t).\nAnswer: 2*t**2 + 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27378499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q - 7*q - 30. Suppose 0*b - 3*h - 36 = -q*b, -2*h = 8. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 172*u + u**2 + 172*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133300200 (base 4) to base 2.\nAnswer: 11111110000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3\/(-4))\/(256\/(-1024)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117754.\nAnswer: 2, 7, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 51182*m**2\/7 + 331731678*m\/7 + 54610498098\/7.\nAnswer: 2*(m + 169)*(m + 12711)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42\/109 in 3\/7, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 37. Suppose 4*m = -6*b + b - i, -16 = 4*b. Suppose 5*v = -15, m*o + 2*o - 4*v = 8504. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/3659 + -7088\/420785. Let c = p + 256\/1495. What is the second smallest value in -2\/13, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-11*(-6)\/(-924)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 138. Let q = m + 65.1. Put q, -0.2, 3, 2\/3 in ascending order.\nAnswer: -0.2, q, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microsecond in nanoseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 3. Let q(c) be the third derivative of 5*c**4\/24 - 5*c**3\/6 - 846*c**2. Determine -5*k(l) - 3*q(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 368373932 to the power of 1\/2, to the nearest integer?\nAnswer: 19193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 929843.6ms?\nAnswer: 929.8436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -536 - -211. Let x = 325.8 + j. Let g = 3.8 - 0.8. Which is the closest to x? (a) -1 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1198092)\/21*1\/(-4).\nAnswer: 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - t. Let q be a(1). Let k(d) = d**2 + d + 8 - d**3 + 2*d**q + 5*d**2. Let r be k(-6). Solve 5 = -5*s, -r*f + 1 + 2 = 5*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9712 a factor of 768013090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33532 - 33532. Sort 148, w, 3, -5.\nAnswer: -5, w, 3, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(3\/(9\/(-2))). Let f(h) = 273*h + 19. Let y be f(-3). Let j be -1050*(-75)\/n*y. What is j rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-5 + 9)) + (1 + -23 - (-210 - -199)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:18 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/66*-6*-8\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q + 1. What is w(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**3 + 295*x**2 - 1075*x - 1375 = 0.\nAnswer: -1, 5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 - x**2 + 7*x + 2. Let m(k) = 2*k**3 - 14*k**2 - 4*k - 25. Let v(h) = h**3 - 5*h**2 - h - 8. Let f(g) = -m(g) + 3*v(g). Give -3*f(r) + q(r).\nAnswer: r**3 + 2*r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5474900 - 5474900 - 17*a**2 - 32*a)*(3 + 0 + 1)*(3*a - 2*a + 2*a) as z*a**3 + g + k*a + r*a**2 and give r.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*q - 611*q = 77 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1406, -5566, -12506, -22232, -34750, -50066, -68186, -89116?\nAnswer: -112862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-10)\/(-16)*-4)\/((-15)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-104) + 0 + 3298\/26 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31650 and 3620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*s**4 - 2*s**3 - 2936*s**2 - 1052*s - 29 wrt s?\nAnswer: 396*s**2 - 12*s - 5872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 102 (b) -293 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3714 - 1265 = 2197*s - 27117 - 91269 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -3 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 4*n - 6. Let z(r) = 4*r + 14. Let j be z(-5). What is s(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/126*(-7 - (-16)\/4) + 324\/(-648)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-30)*(10 - 1). Suppose v*f - 4*u + 6 = 2*f, 0 = -5*f - 3*u + 62. Let p be (-15600)\/(24\/f - 2). Round p to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 110 = -5*l. What is the greatest common factor of 221 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2526*y + 2527*y + 1 = 3*r, -y - 5*r = 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 65*o**2 + 7*o + 6. Let k(t) = 130*t**2 + 13*t + 13. Let d(h) = -4*k(h) + 9*z(h). Let i be 24\/18*(-6)\/4. What is the tens digit of d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-36))\/((-3)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(0 + sqrt(13))*5.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 8:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 980000*u**2 - 3*u + 3. Let l be k(1). What is l rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38587.80538 to the nearest one hundred.\nAnswer: 38600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-57)\/190 - (-8)\/10)*0. Let m(n) = 2*n**2 + o*n**2 + 3*n**2 - 3*n**2. Let v(u) = -2*u. Let g(z) = -17*z + 3. Let t(k) = g(k) + 2*v(k). Give m(t(i)).\nAnswer: 882*i**2 - 252*i + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 49*v - 255. Let k be p(6). Let g(h) = -h + 14. Let t be g(11). Suppose 0 = t*o + o. Solve -q = -2*a + k, o = 4*a - 9*a + q + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*m + 13 = 0, 5*v - 16 = -3*m + 15. Suppose -q - 9*q = -20. Suppose -4*l + 24 = -q*c, -l + 7 = -2*c + c. Put c, v, -1 in ascending order.\nAnswer: c, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 0 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 9}. Give prob of sequence ee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5267089?\nAnswer: 5267089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from gbxjjsgsgxxjbbxxxwg.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4107 is divided by 308?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 26 = -50. Suppose -5*d = -a + 24, -4*a - 3*d + r = -0*d. Let c(t) = -2*t - 1. What is c(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/112 + (-66)\/(-14). Suppose l + 15 = 3*w + w, -4*w + a*l = -11. Solve -w*x = z + 3*z + 8, 0 = 5*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-256)*(-16)\/3*(-1)\/14?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/4)\/(3\/6). List the prime factors of 2\/10*q*64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = -3*c, -r + 2 = 1. Solve -3*l + 6 + 8 = -4*f, -f + c*l - 1 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:46 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 5. Let o be u(0). Let k = o - 0. Let q(w) be the third derivative of w**5\/60 + w**4\/6 - w**3 - 2*w**2. Calculate q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4311 + 4311.05841. Let d = y + -7.17241. Let n = -0.014 - d. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1100) + sqrt(1100) + 0)*-1)**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 9. Let p be 8\/(-4) - 68\/b. Is p at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*d**4 - 66*d**2*w**2 - d*w + 24*w**2 + w wrt d?\nAnswer: 240*d**2 - 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1050, -1046, -1040, -1032, -1022, -1010, -996?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724139 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3426*k**2 + 27*k. Let t(d) = 931871*d**2 - 7335*d. What is -815*a(l) - 3*t(l)?\nAnswer: -3423*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 3, z: 3, m: 1, d: 2}. What is prob of sequence zezn?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 34*h**2 - 169*h + 6. Determine o(-28).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + (1 - 2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17465?\nAnswer: 5, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45164487 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + 24 - (-15 + 25 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8018 + 5483. Let n = -17782\/7 - p. What is the common denominator of 0 - (0 + 58\/72) and n?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-7)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.3. Let o = 0 - z. Let h = o - 0.2. Which is the nearest to -1\/4? (a) 3\/4 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -59*j**3 - 15*j**2 - 4. Let b(w) = 167*w**3 + 43*w**2 + w + 11. Let k(l) = 6*b(l) + 17*t(l). Calculate k(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + q - 170, -3*i + 4*q = 250. Let k = -79 - i. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 2*f**3 + 3*f**3 - f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*-2*5)\/(6*2*sqrt(12)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 36*g - 765. Calculate the least common multiple of 189 and j(23).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116775 is divided by 16665?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = 2*a, -3*a + a + 12 = -2*u. Let s be 40\/6 + (-14)\/(-42). What is the greatest common factor of a and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1065 and -51.4.\nAnswer: 54741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.35, -2\/17, -0.1, -3, 0.4, 3?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1209 + 0.1206888. Round d to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/4 + -2 - -2. Let r(u) = -u**2. Let o be r(-1). Let c be t*(-2 - 3)*o. Sort c, 4, 3.\nAnswer: 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2501?\nAnswer: 10004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 90, 0, 1\/27, 12.2?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3934 is divided by 654.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b + 38*b - 6 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*-2*(-5)\/175*-84\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 72233184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4433)\/33020 - 190\/12065?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.222, -27\/269, 1\/6?\nAnswer: -1.222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 544005*m - 1880464 with respect to m.\nAnswer: 544005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 12. Let g(s) = 1. What is b(i) + 10*g(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 10*h**2 - 27*h + 39. Let f be k(7). Which is smaller: f or -39\/16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 164\/24 - (-4)\/24. Let z(i) = -7 + 6 - 10 - 11 + i + x. Calculate z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302 or 0.061?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**6 - 150*d**4 - 367*d**2 + d wrt d.\nAnswer: -480*d**3 - 3600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.89999582 + -41.9. Round x to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3421 and -22\/7678279.\nAnswer: 84461069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3642 times 3.5?\nAnswer: -12747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 960?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142345278.\nAnswer: 2, 23, 727, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12. Let d be (u + 3)*(-2)\/(-6). Solve d = -s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:33 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-105) - (-9)\/(135\/84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15821, -15825, -15829, -15833?\n\"Answer: -4*v - 15817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**3 + 2*m**2 + m. Let a be q(-2). Suppose -2644*s + 1215 = -2635*s. Let j = s + a. What is the remainder when j is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8351, 16664, 24939, 33176, 41375, 49536, 57659?\nAnswer: 65744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0, -2, -5722.5409?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8402460, -16804919, -25207378?\nAnswer: -33609837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711982292.\nAnswer: 2, 7, 409, 62171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 336 - 1601. Let s(l) = 2*l - 5. Let b be s(2). Let w be 2\/(9 + b) + (-2184)\/(-96). Calculate the highest common divisor of r and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -15\/7*q + 6\/7*q**2 + 1\/7*q**3 - 3. Factor r(j).\nAnswer: 3*(j - 1)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 20*h**3 + 39 - 83.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 218838330 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, -0.08, 1\/4, 141, -1\/9.\nAnswer: -22, -1\/9, -0.08, 1\/4, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -30*s - 39. Let w be r(36). What is w rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**3\/5 + 34*g**2\/5 - 14*g\/5 - 2\/5.\nAnswer: -2*(g - 1)**2*(9*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/((56\/35)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-6)\/4)\/1. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47450 and 3285?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8528841 and -0.4.\nAnswer: 3411536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30254 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 + 1 - (-15 + 20 + -9)) + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100001?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t**2 - 2*t - 9. Let u be w(-6). Let s(c) = c**3 - 28*c**2 + 7*c + 1185. Let v be s(26). What is the greatest common divisor of u and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -54199 bigger than -921360\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 1. Suppose 4*t - 8 = -4*t. Let i(b) = -3*b**2 + 12. Let r(y) = -3*y**2 + 13. Let a(v) = -7*i(v) + 6*r(v). What is t*a(d) + 6*u(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/14 + 19\/(-133).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.985 + 14. What is k rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = -3*h + 50, -5 = -h + 5*z. Let w(s) = h - 63*s + 121*s - 56*s. Give w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -7\/10736800?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 13. Let q be z\/(-4 + 0) - -3. Differentiate 0*o**3 - 2 - 2*o**3 + 8 - q with respect to o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-66)*((-8)\/(-10))\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*998\nAnswer: -199.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141\/((7 - 13) + 7) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*u = -8 + 2, -2*u - 6 = -t. Which is the nearest to t? (a) -3 (b) -0.4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21 - -14) + (1 - -8). What is the hundreds digit of (-1*y)\/(34\/(-27421))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24688 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12492 and 654789.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*r = -763, 53*h - 3*r + 301 = 55*h. Calculate the remainder when 446 is divided by h.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 34 = 5*m, 25*m - 24*m = -3*b - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167039 = 37*b + 2960 - 56330. List the prime factors of b.\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10 - 8 - 7*n - 3 + n**3 + 6*n**2. What is the remainder when b(-6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 3*n - 4*l + 11 - 26 - 18, -l = 3 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m + 2*c - 14, -m + 4*c = 12. Let v = -6 - m. What is the remainder when 57 is divided by 28 + -28 + 3*v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 - 3*d - 4. Suppose -16*v - 52 = -20. Let y(k) = k**3 - 2*k**2 + 2*k + 5. Calculate v*m(j) - 3*y(j).\nAnswer: -j**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 56*k**2 + 21*k + 20. Determine i(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446027981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 38 - 655*g - 14)*(2*g + 2*g - 10*g) to b*g**2 + x*g + d and give b.\nAnswer: 3930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 divided by 334164?\nAnswer: 311\/167082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-3))\/(m**(-2\/63)*m))\/(m*m*m**(-1\/6)*m**(-15)))**(1\/3) assuming m is positive.\nAnswer: m**(1411\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*l**4 - 32*l**3 - 2*l**2 - 94901*l wrt l.\nAnswer: 1032*l**2 - 192*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -40131 (base 8) to base 5\nAnswer: -1011343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 4. Let n be s(-4). Suppose -c + 13 = x - n, c - 38 = 4*x. What is the lowest common multiple of c and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-20)*(-10)\/6. Let l = -482.67 + 485. Let h = l + -2.03. Which is the closest to -1\/2? (a) v (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1078, 2, -1 in decreasing order.\nAnswer: 2, -1, -9, -1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + 9 + -14 - (15 + 4)) + 3 + 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**2 + 28*g + 3. Let j(p) = 11*p**2 + 27*p + 2. Calculate -3*j(d) + 2*v(d).\nAnswer: -13*d**2 - 25*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16159?\nAnswer: 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*j + 3673 - 3938, 4*j - 176 = 2*r. Suppose -3*i + 15 = -3. Calculate the remainder when j is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + -5 + (sqrt(171) - sqrt(171)*1*-3)\/sqrt(9) + (-4 + sqrt(684)*1 + sqrt(684))**2).\nAnswer: -368*sqrt(19) + 10996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*z - 359, 0 = -2*b - 2. Suppose -z - 77 = -5*r. Suppose 4*w = -3*q + r - 12, 0 = q + 3*w - 14. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let u be 5 + -19 - (m + -3). Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3*x**4 + 8*u**3*x**3 + 3*u**3 + 10083*u**2*x**2 + 6641*x**4 - 22 wrt x.\nAnswer: 24*u**3*x + 48*u**3 + 159384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50558 and 12?\nAnswer: 303348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6030306593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950 + 1251 = 887*d - 5533 + 638 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16627*h - 33426*h + 16805*h + 14 - 14.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s**2. Let q(o) be the first derivative of o**3\/3 - 3. Determine 33*q(y) - 2*z(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(3\/4)\/k)\/k**(1\/50))\/(k*k**(-11)*k*k*k*k*k**(1\/3)))**(5\/2) assuming k is positive.\nAnswer: k**(1619\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-6 + -1)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.640882 minutes in milliseconds?\nAnswer: 398452.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3. Let z be k(0). Suppose -2 - 327 = 7*x. Let n = -53 - x. Sort z, 0.4, n in descending order.\nAnswer: 0.4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5082 - 10104 + 5022 - 16*c**3.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5949987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 divided by 561?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 13. Let z(a) = -4*a + 20. Let t(d) = 8*o(d) - 5*z(d). Does 15 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20*t + 17. Let c(v) = -7*v - 6. Let o(j) = 17*c(j) + 6*w(j). Let b(q) = -259*q - 264*q + 965*q - 336*q - 2 - 255*q. Determine b(o(m)).\nAnswer: -149*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23590 + -14091. Suppose 62501 + a = -9*i. What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29782761788292 - -3?\nAnswer: -29782761788289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9859.513t in kilograms?\nAnswer: 9859513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5497379*q**2. Let c(p) = -7*p**2. Give c(w(k)).\nAnswer: -211548231087487*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55264*b = -55429*b + 12705 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-21)*104\/1196*-23?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*m**3 - 106*m**3 + 206*m**3.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 176846297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261601039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102533 - 34*y**3 + 4*y**3 + 102529.\nAnswer: -30*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 2400?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1200))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -9. Suppose -3*l = f - 60. Calculate the highest common divisor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147240745 divided by -29448149\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x + 15 = 0. Let r(m) = -m - 3*m + 4*m - 10 + x*m. Let j(p) be the second derivative of -p**3\/6 + 3*p**2\/2 + 134*p. What is 14*j(d) + 4*r(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g = 17*x + 188*g - 91*g - 510, 4*x - 2*g = 120 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) -6\/3445 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**32)**(-25)\/((z\/(z*z**(-1\/2)\/z*z))**(34\/7))**(-39) assuming z is positive.\nAnswer: z**(6263\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1097987*x + 1098173*x - 12276 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g**(-4)\/g*g)\/g)\/g)\/g*g)\/g*g*g**(2\/25) assuming g is positive.\nAnswer: g**(-123\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 43462.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1542)\/(-102) + (-6)\/51. Suppose -c*x + 1111 = -4*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 41, -14\/25, 0.22, 0.26, -0.2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10036*a - 10101*a = -134420. What is the remainder when a is divided by 2057?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 4*t - 715. Let q(s) = -22*s - 10. Let m be q(9). Let n = t + m. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -523 + 523. Suppose o = -8*v + 7*v + 18. Solve 6*r + 10 = 2*r - 3*c, 2*r - 5*c = -v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a day in hours?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10080*a**3 - 2*a**2 - 19905*a**3 + 10295*a**3.\nAnswer: 470*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**3)**26\/((g\/(g\/((((g\/((g\/((g\/g**(-1\/10))\/g))\/g))\/g)\/g)\/g)))\/(g*g**9)))**(10\/7))**(3\/13) assuming g is positive.\nAnswer: g**(3477\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 12*o**2 + 16*o. Let r be v(13). List the prime factors of (r - (3 - 6))*2.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3615921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -35, -38, -41?\n\"Answer: -3*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b**3 - 10*b**2 - 251*b - 4. Let u(t) = 29*t**3 + 21*t**2 + 507*t + 7. Let a(p) = 4*u(p) + 7*y(p). What is the second derivative of a(h) wrt h?\nAnswer: 66*h + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4986, 4565, 3860, 2871?\n\"Answer: -142*v**2 + 5*v + 5123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10, 2, 1203, -3, 11 in descending order.\nAnswer: 1203, 11, 10, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5 (b) -1 (c) -3\/7 (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -46. Let h = -9 + t. What is the tens digit of (-3)\/2*(h\/3 - 135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (306*n**3 - 306*n**3 + 233*n**4)*(-5*n + 7*n - n) + (5 - 5 + n**2)*(2*n**3 + n**3 - 5*n**3).\nAnswer: 231*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.09, -0.1, 2\/7, -12, -2 in ascending order.\nAnswer: -12, -2, -0.1, 2\/7, 11.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104724 and 14545?\nAnswer: 523620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 80394700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 w when three letters picked without replacement from {w: 3, j: 5, k: 5}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.2507 years to months.\nAnswer: 1947.0084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089357786 to six dps.\nAnswer: -0.008936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -17441.28\nAnswer: 436032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061 - -110.\nAnswer: 109.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -5*l - q, 0 = -5*l - 3*q + 380 + 330. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:39 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22*8\/(-176)*1198\/54. Is z at most as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 158. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 6) to base 11.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*n*t**3 - 4*n*t**2 + 8*n - 3*t**5 + 2*t**3 - t**2 + 2*t wrt t?\nAnswer: 1080*n - 180*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 + 5*u + 7. Let c(t) be the first derivative of 1\/4*t**4 + 0*t**3 - 5 - 1\/2*t**2 - t. What is 5*c(a) + z(a)?\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080 divided by -30.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**3 + 7*w**2 - 7. Let f(i) = -8*i**3 + 6 - 4*i**2 + 3*i**2 - 5*i**2. Let z be (-122)\/(-18) + (-104)\/(-468). Determine z*f(l) + 6*k(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*j - 40*j - 53*j + 28*j**2 - j**4 - 5*j**2 wrt j.\nAnswer: -12*j**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93962 = -37*v + 16150. List the prime factors of v.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -351095641.2.\nAnswer: 351095641.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*l - 5*t, 5*t + 86 = 25*l - 24*l. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -14\/4380207?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.95 (b) -479 (c) 6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c1a + -1180?\nAnswer: 1a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -816150, -1630852, -2445552, -3260250, -4074946, -4889640?\n\"Answer: m**2 - 814705*m - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, 113\/12, 3, -0.336?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 923526.\nAnswer: 85\/461763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 33?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 18. Suppose -c + a*c - 60 = 0. Let j = c + -13. Sort -5, 0, j.\nAnswer: -5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**3 + 1378*x**2 + 1061*x + 3?\nAnswer: 18*x + 2756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1734*m - 2431. What are the prime factors of t(7)?\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4746 = -5*l + 3*f, -3*l + 4*f = -4745. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 5*b**2 + 0*b**2 + (964 - 961 + 0*b + 31*b)*(3*b - 3*b - 2*b)*(-1 - 2 + 4) to v + a*b**2 + t*b and give a.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 4*d - 115, 0 = -3*c + d + 356. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003424299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, 0.1.\nAnswer: -4, -3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1082, -1083, -1084, -1085?\n\"Answer: -w - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3468861 and 7733.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.000167 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -396, 0.2, -0.4, -0.3 in increasing order.\nAnswer: -396, -0.4, -0.3, 1\/12, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/21*((-136)\/12)\/(-17).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 6*t**2 - 52*t - 249. What is m(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 8. Let o(l) = 8*l - 23. Let z(r) = -4*o(r) - 11*p(r). Determine z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*t = -4*n + 48, 4*t + 59 = 5*n. Suppose -i - 46 = -5*f + i, -5*i = n. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5 - 600*z**4 - 24402*z**3 - 342216*z**2 - 1398411*z = 0.\nAnswer: -151, -21, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 602\/112*1\/(-3)*2 and 13\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:54 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -20. Suppose w = 17*k - 14. Solve k*n = -n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -16, -0.01, -62?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59\/55 - -14\/11. Let d = -1913 - -1915. Find w such that -3\/5*w**3 + w**d - i - 4\/5*w**4 + 3\/5*w = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 490, 1001, 1542, 2119, 2738, 3405, 4126?\n\"Answer: l**3 + 9*l**2 + 477*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.0031 - 0.0031. Put -19, t, -1 in ascending order.\nAnswer: -19, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/12 + -7\/2. Calculate the common denominator of 50\/33 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/80 - u**3\/8 + u**2\/4 + 17*u. Find y, given that k(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = -n - 7, -2*n - d = 11. Let i = 2355 + -2348. Calculate the least common multiple of i and 26\/4 - (-3)\/n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-20)\/r)\/(r*r**(-19\/3)*r))\/(r**33*r**(7\/2)) assuming r is positive.\nAnswer: r**(-319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -224*v + 24. Let l(b) = 62*b - 7. Let y(r) = -5*j(r) - 18*l(r). Let c(k) = -25*k - 35. Determine -6*c(g) - 35*y(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10018 is divided by 383.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(0 - -4 - 5). Suppose 0 = -n - j - 94, n + g*j - 392 = 5*n. Let p be (14\/3)\/((-16)\/n). Solve y = -3*m + 14, 9*m = 3*y + 4*m + p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1729)\/(-12) - (-68)\/(-816)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (31 + 5)*2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/285 and 81\/2414962.\nAnswer: 688264170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3399 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -10. Calculate the least common multiple of 2 and (-139)\/(-7) + (-2)\/c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 58 - 60 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -20*q + 0 - 1\/2*q**3 + 0*q**2. Let g(z) = -z. Calculate g(k(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + -1 + (sqrt(425) + 4)**2*6)*-1.\nAnswer: -2643 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4123, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = 0. Let q be (2 + -1)*(l - 0). Let v(n) = 2*n + 251. Is v(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from otdzdzozodozzddoz?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3, 5*g - 4 - 20 = -3*m. What are the prime factors of ((-34)\/8)\/((-3)\/72*m)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*i**2*z**2 + 17*i**2*z + 4*i**2 - 25*i*z**2 - 20*z**2 + z wrt i?\nAnswer: -30*z**2 + 34*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = 158*o - 156*o - 350, 0 = -4*b + 4*o - 52 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 21, 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 + 46*b - 7. What is q(11)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 34 = -4*n - 42, 5*n + 13 = -3*d. Let v be -1 - ((-4)\/(-6) - 1). Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/901625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1588*f + 3458*f + 3324*f - 213*f + (2 - 6 + 2)*(0*f + f - 2*f) + 0*f + 0*f - f.\nAnswer: 4982*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72, 252, 746, 1710, 3300, 5672?\n\"Answer: 26*j**3 + j**2 - 5*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*q = 9 + 4, -24 = -2*w + 2*q. What is the remainder when 25 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**2 - 172*w - 330.\nAnswer: 6*w - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 9. Let z be 2\/s + (-24)\/(-18). Let r(n) = -3*n**2 + n**z + n**2. Let t(g) = -2*g**2. Give t(r(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1340 + 22076?\nAnswer: 23426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-28))\/((-10)\/(-35))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/5*(45\/6)\/1. Suppose 1 = -7*o - k. Is 2\/25 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6031 is divided by 177.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of -6 - (-4473 + 5)*3\/(60\/155)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.5 + 15. Sort 5, n, -0.2, -2.7 in descending order.\nAnswer: 5, -0.2, n, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 8)\/((-2 - 1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:43 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1014, -960, -878, -768, -630, -464?\n\"Answer: 14*u**2 + 12*u - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*93\/(10602\/760).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Let u be 1\/(14\/(-28)*2\/(-3)). Put 4, u, j in descending order.\nAnswer: 4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 99*y**6 - 56*y**2 - 13*y + 14. Let w(s) = 50*s**6 - 28*s**2 - 7*s + 8. Let i(n) = 7*w(n) - 4*x(n). What is the third derivative of i(q) wrt q?\nAnswer: -5520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 84. Let f be 6\/(-39) + (-8576)\/(-143) - -2. Let l = 62 - f. Which is the smallest value? (a) 0.4 (b) l (c) -0.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**3 - 3*g**2 + 3*g - 1. Let m be a(1). Is 10 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 3*b - 2. Let i be w(4). Let y(q) = q**3 + 6*q**2 - q - 2. Calculate y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 - 213 + 423)*(-2 - 2*p + 2 + (9*p - 6*p + 21*p)*(0 + 4 - 6)) in the form k + s*p and give s.\nAnswer: -13550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000000000100 - -1101110110100?\nAnswer: 1000101110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, -8, 4, -2 in decreasing order.\nAnswer: 4, -2, -3, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(12)) + 2.\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -458759.504 + -6.696. Let y = a - -458808.20106. Let f = y + -42. Round f to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.7? (a) -1451 (b) 0 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 != -1760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.31 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(1395\/(-6)) + (-24592)\/532332\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 10*l**2 + 2*l + 16. Give z(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 19*j + 38*j. Sort -4, 93, -3, j in decreasing order.\nAnswer: 93, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = -2*y + 189, 2*y + 84 = 2*p. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 17*n + 22. Suppose -8*x + 7*x + 15 = 0. Let c be u(x). Let z(w) = w**2 + 3*w + 19. What is the tens digit of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 7*p**2 + 9*p + 12. Let h be u(-8). Solve h*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttggtxoottgwtoggx. Give prob of picking 3 t and 1 g.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 6*c**2 - 10. What is the remainder when 39 is divided by l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 10*b - 19. What is z(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127 - 0?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 10. Let u be h(-4). Suppose u*z - 100 = 14*z. Let l be z\/6 + 1 + 3. Which is the closest to -0.1? (a) l (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 15 = -5*n, -5344*n = -5348*n + 43*b - 207 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 120, 13, -6, 4.\nAnswer: -6, 3, 4, 13, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*v - 6, 0*v = 4*v - 5*t + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c5 + -118?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97663659*g**3*v + 9*g**3 - 3*g**2 + 13*g + 75525 wrt v?\nAnswer: 97663659*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-14))\/(162\/(-23328)*-81)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21228.\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -28. Let h = y + 0. What is the remainder when h is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 35*y - 7482. Solve y*b = 261*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let s(w) = 60*w - 2. Let u(h) = 2*n(h) - s(h). Let r be u(-1). Let i = 152 - r. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/60221?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17816 is divided by 188?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -64, -463 in ascending order.\nAnswer: -463, -64, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(896) - sqrt(896)*2 - sqrt(896)) + sqrt(896))\/((sqrt(4)\/sqrt(2) - sqrt(2) - sqrt(2))*-1))**2*1.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-3 - (-52)\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251 + -246. Suppose 4*u + 2*b = -3*u + 187, 0 = 5*b + x. Let p = 117 - 43. What is the remainder when p is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(140)\/(sqrt(4) + sqrt(4)*-2))\/sqrt(7).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 6*b + 10\/3*b**3 + 9\/2*b**2 + 1\/2*b**4 + 4. Let o be y(-4). Solve 25 = -7*i + o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.28627 centuries to months.\nAnswer: 30343.524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21171*g - 190460. Give d(9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 9*p + 112 = 0. Suppose -26 = -4*a - 3*g, 4*a = -5*g + 23 + p. Are 16\/3 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 51*o + 378350 = -40*o. Is o a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654.7 rounded to the nearest 10?\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 8328 + 8373 = -4*o, -2*b - 4*o = 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*a*b**5 - a*b**3 + a - 3*b**3*z - b - 22*z wrt b.\nAnswer: 260*a*b**3 - 6*a*b - 18*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/4 + 8*s**3\/3 + 3*s + 8. What is the units digit of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 424*o**3*q + 19*o**3*v + o**3*x + o*q + 2*o*v*x - 30*q*v - 3534948*q*x wrt x?\nAnswer: o**3 + 2*o*v - 3534948*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 g, and 1 b when four letters picked without replacement from {w: 2, b: 2, a: 1, g: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369200 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2253300426.\nAnswer: 2, 3, 13, 9629489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 - 60*l + 132 = 0 for l.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - 0.04. Which is the smallest value? (a) 1\/5 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -59. Let s be 6\/k - 58\/8. Let m(d) be the third derivative of d**5\/60 + 3*d**4\/8 + 7*d**3\/6 - 79*d**2. Give m(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-99) - (-1786)\/22. Let i(r) be the first derivative of 4 - 1 + 84*r + 4*r**2 - c*r. What is the first derivative of i(o) wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 40 = -4*f + 5, -2*f = -3*h + 5. Suppose -2*y + 40655 = h*a - 172722, -128051 = -3*a + 5*y. Let t = -77323 - a. Round t to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122880483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 3, 447?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 16*v**2 + 29*v + 18. Let r be j(-14). Let m be ((-55)\/(-20) - (-9)\/(-6))*r. Solve 0 = 3*q + m - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 0 + 0*x**2 - 4*x + 5*x**2 - 2*x**2 - 4. Suppose -10*n = -6*n - 16. Let d(i) = 15*i**2 - 21*i - 21. What is n*d(p) - 21*y(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -24. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*d - 6*d - 286, d + 2*p = -84. Let j = -66 - d. Suppose -2*i - l = -j, -2*l - l = 2*i - 4. Solve 5*b - 4*u + 7 = -14, 5*u + i = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8854?\nAnswer: 2, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*n - 3*n = 24, 4*m + 2*n = 6. Suppose m = 2*z - 17. Solve -z = 4*i - 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 + -144. What is the closest to -0.1 in -0.02, -2, i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/18)\/((-8)\/(-2) + 9898\/(-909))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.08 (b) -3 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 6:47 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 533009\/11798 + -768\/17. Let w = m - 1405\/11798. Which is the second biggest value? (a) w (b) 1 (c) -3\/5 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 41\/2 of a microsecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804 + 1763 - (0 - 74)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19012724019215 + -19012729980085.3589789. Let f = q - -5961136.359. Let a = f - 266. What is a rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) 4 (d) -4528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -990 - -977. Suppose -4 = 2*w + g, -2*w - 16 = -4*w + 4*g. Is w bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(-5*sqrt(8)*1).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.689, 0.5, -3 in ascending order.\nAnswer: -3, 0.5, 26.689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 + -3*(-232)\/72. Solve 5*c - 2*c = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c\/((c**(-1)\/c)\/c))))**8*(c\/(c**0\/c))**(2\/9))**40 assuming c is positive.\nAnswer: c**(14560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 2, -288, -48327?\nAnswer: -48327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(9\/2)*b)**(-2\/43)\/(b*(b**(-4\/11)\/b)\/b)**(-46))**(2\/13) assuming b is positive.\nAnswer: b**(-59582\/6149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 + 11*m**2 + 0*m + 87\/2*m**3 + 0 = 0. What is m?\nAnswer: -1\/4, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77875918 is divided by 3708377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -618*b**2 - 625 with respect to b.\nAnswer: -1236*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-8)*4)\/(-12*1\/(-24)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 21 - 38*x + 42 + 3*x**3 + 72*x + 110*x as y*x**2 + u*x + b + t*x**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 2*x**2 + 18*x - 56. Give k(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.73 - 0.27. Let v = h - -13.6. What is the biggest value in -2\/19, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(((-1780)\/(-120))\/89)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(468) + -1 + sqrt(468)) + sqrt(468))**2 - (sqrt(637) + 1 + (-3*(sqrt(13) + sqrt(208)) - sqrt(13) - sqrt(13)) + -4).\nAnswer: -314*sqrt(13) + 37920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 12*j**2 - 21*j + 23. Calculate f(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:01 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 5*o - 1. Let l be 115\/(-15) + (-2)\/(-3). Suppose -2*x - 28 = -3*a + 32, 4*a - 80 = -2*x. What is the remainder when a is divided by u(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3627 - 3623. Let t = -4 + 24. Calculate the least common multiple of y and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-120) + (-7762)\/16. Is u < -487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53335 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 330\/96 + 7\/112\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5010*j - 59197 - 5933 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 9, c: 1, m: 2, z: 1}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/(-6) - 6)\/((-1)\/8). Suppose 7 = -11*u + z*u - 5*l, 2*u = 2*l + 22. Sort 5, u, 7 in ascending order.\nAnswer: 5, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -738*d**2 - 1 + 1 - 396*d**2 in the form z + l*d + u*d**2 and give u.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 5.8. Let y = -4 + 6. Sort s, 0.5, y in increasing order.\nAnswer: 0.5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262874 is divided by 1023?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 901.6087 times 5\nAnswer: 4508.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-1 + sqrt(17))*4 - sqrt(425)*-1) + (-3*4*sqrt(119))\/sqrt(7) + -3)**2.\nAnswer: 42*sqrt(17) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20713930.\nAnswer: 2, 5, 2071393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*1)\/sqrt(3) + (sqrt(5) - -1*(sqrt(5)*-2 - sqrt(5))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + w. Let u be 5\/25 - 1\/5. Let f be x(u). Solve f = 3*m - 2*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + y - 25055 = 0, x - 26993 = y - 1922. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - g - 19, -29 = r - 5*r - g. Suppose 0 = 14*k - 12*k - 14. Suppose k + r = 5*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 55.57. Let m = y - 0.5. Let x = 73\/60 + -11\/20. Which is the third biggest value? (a) 1 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*m**3 + 28935*m**2 + 12800*m + 1420.\nAnswer: 5*(m + 71)*(9*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) -5 (b) 0 (c) 0.2 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3636\/180)\/(-2*(-2)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9)**(1\/12) assuming u is positive.\nAnswer: u**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/((-1)\/(-8)). Suppose g - u + 2 - 1 = 0, 0 = -g + r*u - 16. Suppose t - g*t = 0. Is -1\/32 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 92 = 4*p, 1041645*p = -3*w + 1041648*p - 69 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {s: 4, d: 4, u: 1, m: 1, x: 3, p: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 34400*d**2 + 30773748*d + 7290321048.\nAnswer: 4*(d + 489)**2*(d + 7622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/17, 1.8, 109, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 + w**2 - w. What are the prime factors of a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c + c - 36. Solve u = -0*u - c*i + 6, 5*i = -3*u + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2969*y = -2652*y - 1902 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/11, 1, -4\/489?\nAnswer: -4\/489","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0*h**2 + 0*h**3 - 39\/4*h**4 + 1\/30*h**6 - 29\/20*h**5 - 107*h + 0. What is the third derivative of d(y) wrt y?\nAnswer: 24*y - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 37. Let a be (-1)\/(4\/(t + 1)). Solve 4*v + 24 = -2*r, -a*v - 19 = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2900 divided by -11160\nAnswer: 145\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4*d = -84. What is the remainder when 109 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 0. Let k(i) = 4*i**3 - 28*i**2 - 5*i + 20. Let v(l) = l**3 - 9*l**2 - 2*l + 6. Let b(a) = -2*k(a) + 7*v(a). Determine b(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144343110 (base 6) in base 12?\nAnswer: -1014a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708524.\nAnswer: 2, 177131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -104. Let r(p) = 20*p + 15. Let q be r(-11). Let h be (-2)\/10 - q\/25. Solve 0 = -5*a, -3*a + h*a + w = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 - w**2 + 3*w**2)*(-1 - w + 1) + (14*w - 65*w**2 - 14*w)*(0*w + 4*w - w) to the form y + l*w**3 + k*w + f*w**2 and give l.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 8*z - 1 + 0*z)*(5 + 0 - 4 + (-4 + 1 + 4)*(-1 - 3 + 5) + 4 - 6 + 1) + 4*z - 2*z + z.\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 + 32. Let d be (-98)\/(-10) + (-26)\/l. Calculate the highest common divisor of 50 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + x**2 - 2*x**2)*(-x - 1 + 2 - 6)*(0*x + 2*x - 3*x) as t*x**2 + h + n*x**4 + d*x + b*x**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 76, 103, 152, 229, 340, 491, 688?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 100*s = -52*s + 18 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -173269 (base 10) in base 13?\nAnswer: -60b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (174\/12)\/((-1)\/(-86)). Suppose -3*z + 0*z + 4*l + 739 = 0, -5*z - l = -u. Suppose z - 2413 = -4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n - 3. Let v be ((-4)\/3)\/2*3. Let j(q) = -4*q**2 + 4*q + 10. Let w(t) = v*j(t) - 7*o(t). Suppose 2 = 3*d - 4. Calculate w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/6*(-1396)\/(-13960)*-42.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 - -237. Let o = j + -69. Which is the third smallest value? (a) -0.09 (b) o (c) -4\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -10) + -4 + 32 + -34.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -4.01. Let z be 4*(-2)\/44 - (-32)\/88. Which is the closest to 7\/3? (a) -0.5 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2*m + 4 - 4) + (22 - 22 - 10*m)*((-1 + 2 + 1)*(3 - 3 + 2) + 106 + 227 + 321).\nAnswer: -6578*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b**2 + 2*b**2)*(226 + 13 + 110) + (-b - 2*b + 4*b)*(0 + 0 + b).\nAnswer: 350*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3 + 0*l + 0*l**5 + 0*l**4 + 0*l**3 + 1\/6*l**6 + 2*l**2. What is the second derivative of q(r) wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 208 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 665. Let f = r + 706. Suppose 4*k + 2*k - f = 0. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 27*t - 63. Calculate the common denominator of 36\/21 + (t - 12) and (-11)\/14*(12 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3 + 1554888*q**2 + 1554886*q = 0.\nAnswer: -777443, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21039104, -21039077, -21039036, -21038975, -21038888, -21038769?\nAnswer: -21038612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -r, -2*y - 2*y + r = 0. Suppose y = -4*t + 4, -w + 0*t = 2*t. Is w less than -5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 643.\nAnswer: 643.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3034*r**2*u - r**2 - 14*r*u + 4*r - 2*u + 3 wrt r?\nAnswer: 6068*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 26*d - 61. Give r(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -1, 7, 0 in descending order.\nAnswer: 174, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46574 - -0.06574. Which is smaller: -94\/3 or j?\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1463, 2957, 4451, 5945, 7439?\nAnswer: 8933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3980.\nAnswer: 1\/1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2. Let k(x) = -7*x. Let t(a) = 2*a - 10. Let u be t(8). Let r = -9 - 1. Let y(w) = -4*w. Let p(d) = r*y(d) + u*k(d). Calculate o(p(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37665*j**2 - 115*j.\nAnswer: 5*j*(7533*j - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23, 1\/7, 1\/6, -2\/9, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9085 - 15672?\nAnswer: -24757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 4747.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**7\/14 + l**6\/5 - l**4\/2 - l**3\/2 - 5*l. Suppose z(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163634 is divided by 446?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 31. Let z be m(-15). Suppose -7*w = -3*w - z. Solve 5*r = 2*o - 28, -w*o = -0*r - r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -130*d**3 - 31 - 132*d**3 - 206*d**4 + 262*d**3. Let s(t) = 103*t**4 + 15. Let u(f) = 4*j(f) + 9*s(f). Differentiate u(c) wrt c.\nAnswer: 412*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 3\/9346, 48.\nAnswer: -4\/5, 3\/9346, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9) - ((-3)\/(-2))\/(450\/(-200)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*d - 3*h, 0 = -3*d + h - 6*h + 31. Suppose -3*s = -4*s + d. Let y be 0\/((2\/s)\/1). Solve -4*q + 7 + 9 = y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 - 74 = 32*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 18 = -8*s. Let b(m) = -1 + 1 + s*m + 0. Let u(n) = -1 + 1 + 3*n. Determine u(b(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 52*x + 250. Calculate m(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.5 (c) 5 (d) -522 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041390 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -496\/249 - -5526430\/2774607. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7991 and -7994 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16872 - 16626.86. Let m = -0.0134 - 242.9866. Let p = m + i. Round p to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(10\/9))\/(r\/r**1*r) assuming r is positive.\nAnswer: r**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-50)\/(-8)*2\/(-10) and -41\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4814*h**3 - 380*h**2 + 295078 wrt h.\nAnswer: 14442*h**2 - 760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1421 + 1421. Which is the closest to t? (a) 17\/2 (b) -0.1 (c) 0.2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30 + -34 + (-6)\/(1 - 2). Find the third derivative of 0*a + 2*a**n - 18 - 9*a + 20*a**3 + 9*a wrt a.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2791\/5 (b) 37 (c) -2.83 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-4 + sqrt(176) + 1) + 1)*-4)**2.\nAnswer: -3840*sqrt(11) + 26944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 31*u**2 - 7*u. Let h(v) = -v. Let f(z) = 24*h(z) - 3*i(z). Let o(j) be the first derivative of j**3\/3 + 17280. Give f(o(s)).\nAnswer: -93*s**4 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -11 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -25. Let j(x) = x**3 + 25*x**2 + 16. Let v be j(s). Factor -v*g + 0*g**2 - 5*g**2 - 40 - 14*g.\nAnswer: -5*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 195*o**4 + 1600*o**3\/3 + 540. What is the third derivative of a(y) wrt y?\nAnswer: 4680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884 + 884 + 1486*v.\nAnswer: 1486*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015166 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 3600895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**2 + 3*d**2 + 2*d**2)*(55328*d + 1442*d**2 - 55328*d).\nAnswer: -2884*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2785*b - 24320 = 2405*b for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 294 = 4*q. Calculate the remainder when 4\/10 + q\/5 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n**3 + 10*n**2 - 46*n - 5. Let f(y) = -13*y**3 + 11*y**2 - 49*y - 3. Let q(v) = -7*f(v) + 6*z(v). What is q(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6) + (-2)\/6. Suppose b - y = -1. Factor -14*l**3 + 4*l**2 - 5*l**2 - 3*l**b.\nAnswer: -2*l**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(1100)\/sqrt(4)) + (sqrt(68) + 0 + -2*sqrt(2448))**2.\nAnswer: sqrt(17)\/5 + 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 781 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7262.\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:16 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 9. Suppose g*j = 2*j + 4. Is -1 + j + 90 + -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706062779?\nAnswer: 706062779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/6 - 2*l**2 + 720. Let j(r) = 2*r**2 + 616*r. What is j(z(y))?\nAnswer: 200*y**4 - 6160*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37)\/(-7) + (-2)\/7. Suppose -12 = -4*z + 2*t, 0 = o*z - 3*t - 6 - 7. What is the remainder when 14 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 6*a**2 + 385 + 171*a + 0*a**2 - 231 - 164 - 166 = 0. Calculate a.\nAnswer: -11, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i = -22*i + 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*c + 2110, 2126 = -5*j - 4*c + 5*c. Is -427 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -35*k + 322. Is x(-7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 6. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 16. Find the second derivative of 4*p**2 + y*p + 5*p + p**2 - 7*p wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 - -154. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 164.6043 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = 4*n. Let m(k) = -7*k - 11 - n*k + 12 - 5*k. Calculate m(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*h - 52, 2*h = 5*h - 5*j - 44. Suppose -u + h = u. Suppose u = 4*v - 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5201 - -5207. Solve -v*f = -4 - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - 0.12. Let w = z + 0. What is the third biggest value in -0.5, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7561730\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l = 130*l - 2332 - 371 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -2*j**3\/3 + 1. Let i(b) be the third derivative of -1\/24*b**4 - 4*b**2 + 0*b**3 + 0 + 0*b. What is i(p(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336618791?\nAnswer: 336618791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -30 + 3. Let v = 27 - i. Let a(x) = -3*x**2 - x + 211. Is a(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15*o)**(-37) assuming o is positive.\nAnswer: o**(-592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25999319.\nAnswer: 47, 101, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6893?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 19*u**6\/3 + 41*u**4\/3 - 86*u. Find the third derivative of o(k) wrt k.\nAnswer: 4560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-174))\/((-2)\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:34 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 12*c**5 + 868*c**3\/3 + 740*c**2. What is the first derivative of s(k) wrt k?\nAnswer: 1440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 10*n - 2. Let x(r) = -2*r**2 + 9*r - 2. Suppose -121*d - 10 - 26 = -112*d. What is d*x(f) + 3*o(f)?\nAnswer: -f**2 - 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-63)*(-238)\/51)\/(24\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -875147\/12 bigger than -72930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/8)\/s*s*s**(1\/3)*s)\/(s**(-4)*s**(-1\/7)\/s))**(-2\/33) assuming s is positive.\nAnswer: s**(-1319\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3382747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 566 + -66143?\nAnswer: -65577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -7*x**2 - 96*x - 128. Let a be l(-7). Let r be (-10)\/(-25) + (-3)\/(-5). Solve 5*j = 0, -a*j + 0*j = w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*j - 112 = 106*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42754*w**3 + 42893*w**3 + 42757*w**3 - 128402*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 6. Let l = -9 - k. Let n(p) = -p**2 - p + 1. Let j be n(0). Which is greater: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031322 (base 5) to base 4\nAnswer: 10110300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22394342 or 22394367?\nAnswer: 22394367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 15*n**2 - 5*n + 26. Suppose 200*d - 205*d + 60 = 0. What is the units digit of j(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 less than 4.755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-72))\/((1144\/16)\/13)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u + 1\/60*u**5 - u**2 + 0*u**4 - u**3 + 0. Suppose d + 402*x - 404*x = 0, 0 = 5*d + x. Calculate n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxa when four letters picked without replacement from obbaboaaaxxa.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145030 (base 6) in base 3?\nAnswer: 201021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*y = 0, y - 2*y = 0. Let x(d) = 291*d**2 - 283*d**2 + m + 0. Let s(n) = n. Give s(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-15\/7)))\/(v\/(v\/((v\/(v**(-11)*v)*v)\/v))) assuming v is positive.\nAnswer: v**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 4)*(-5 + 2 + 1) - 8 + 8 - 12)*(3*p**4 - 4*p + 4*p).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k**3 - 7*k**2 + 7*k - 7. Let w(d) = 3*d**3 - 2*d**2 + 2*d - 2. Let b(c) = 2*r(c) - 7*w(c). Let f(o) = 6*o**3 + 2*o + 2. Calculate -3*b(u) - f(u).\nAnswer: -3*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - 1 - 4) + 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-14)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152700997.90000021 - 152701040.9. Let j = -54 + 97. Let r = j + x. What is r rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 8*r - 40. Let g(t) = t**2 - 7*t + 41. Let p be -7 - (112\/(-49) - 2\/(-7)). Let c(n) = p*v(n) - 4*g(n). Find i such that c(i) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.2 - 9. Let n = y + -18.2. Let a = -10.7 - n. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.34 (b) -5 (c) -20 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4616539383 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**3\/h*h)*(h*h\/h**(-1\/9))\/h*h*h)\/((h**(-6)*h)\/((h\/(h*h\/(h**(-2\/21)*h)))\/h)))**(-2\/61))**(-3) assuming h is positive.\nAnswer: h**(506\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.5. Let k = 20\/63 + -2\/21. What is the smallest value in w, 4\/11, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33000586 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/3, 59, 0, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.639686s to microseconds.\nAnswer: 639686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 - 1636\/9. What is the third biggest value in -1\/8, 1\/3, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 p, and 1 u when four letters picked without replacement from {u: 1, p: 4, h: 2, i: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 3. Let u be d(3). Suppose -5*i + u*i = 0. Suppose -3*h = x + 2*h - 30, -3*x + 3*h + 18 = i. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2102834*s**3 - 4*s**2 + 71006.\nAnswer: -12617004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001595 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 59*f + 4. Let n(g) = -3*g**2 - 234*g + 18. Let p(w) = 9*m(w) - 2*n(w). Factor p(d).\nAnswer: -3*d*(d + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60297 divided by 101.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 8 + 16. Let b(a) be the second derivative of -a**3\/6 + 4*a**2 + a. Let i be b(d). Solve i*o - 3*o = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11628 and 133?\nAnswer: 81396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3869, -15677, -35369, -62951, -98429, -141809, -193097, -252299?\n\"Answer: -h**3 - 3936*h**2 + 7*h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i. Let a(h) = -h**2. Let b(o) = -3*o**2. Suppose 3*g - 2*g - 2 = 0. Let r(w) = g*b(w) - 4*a(w). What is r(q(t))?\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100010111010 (base 2) to base 4.\nAnswer: 12202322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13275208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57349677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 + 442*u\/3 - 13460\/9.\nAnswer: 2*(u - 10)*(u + 673)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.73, -1, -0.043, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 - 7 + (0 - 1 + 2)*(0 + 3 - 2) + 4 + 1 - 4)*(0*z**2 - 4*z**2 + 2*z**2).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 7*a - 3. Suppose 0 = -22*y + 9 + 123. Calculate w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/2 + 10*d**3\/3 - 27. What is o in z(o) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46920094477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*l - 140190, 2*q = -4*l - 85624 + 365984. What are the prime factors of l?\nAnswer: 7, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 3:05 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1031427059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1.5 (c) -1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -18. Suppose 4*y + 32 = -2*t, 0 = 2*y - 2*t + 12 - 2. Let x be (-11)\/y - 2 - 144\/(-42). Calculate the highest common divisor of x and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 64. Suppose -x - 3*l = -28, 2*l = -m*x + 5*l + 29. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2 - 11)*428)\/((475\/(-75))\/19)?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1108 by 554.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*c - c = 27000, -c + 67546 = -5*g. What is the units digit of (-4)\/(-52) + g\/(-130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7110 + -1243?\nAnswer: -8353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320075*-0.5.\nAnswer: -660037.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 1, -4, 1116 in decreasing order.\nAnswer: 1116, 2, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 150149 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 5, r: 1, d: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 491468657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 311, 301, 263, 185, 55, -139?\n\"Answer: -2*y**3 - 2*y**2 + 10*y + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 13*b**2 + 3*b - 20. Let l be m(12). Let t = -68 - l. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. Suppose f = 5*p - 13*p + 10504. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.1 + -15.4. Let d = -8 - -1. Let y = d + t. What is the biggest value in y, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Let d = 0 + g. Let i be 493\/510 + 2\/(-12). Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 15*p - 52. Let x be t(-18). Suppose 3*a + x*a = -g + 2308, 20 = -4*a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547 + 552 + (1 - (-6 + (3 - 1))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*c = 90, 41*w - 39*w + 4*c = 70. Solve 0 = -w*t + 49*t - 34*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 4*x - 2 + 0 - x in the form h + s*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/4772 and 91\/21474?\nAnswer: 42948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + z**2 + 0*z**4 + 431*z**3 + 6 - 430*z**3 + 2*z**4 to the form s + h*z**2 + x*z**3 + u*z**4 + w*z and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -1) + 1 - (0 - -3). Solve 0*f - d*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1680 and 121080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 4:33 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 531691721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 5*q**2 - q + 6. Let v be i(-3). Suppose v + 1497 = 12*o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -23. Let o = i + -9. Is 0.06 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-14)*(-70)\/(-20))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 651200 to the nearest 10000.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1101 + 1103. Let h(t) be the second derivative of 8*t - 1\/3*t**3 + 0 - a*t**2. Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 0 + 86*d.\nAnswer: 86*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 2*h**2 - h + 12. Calculate d(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/602 and 5\/8.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.48 - -2.5. Let l = -11.02 - -10. Let c = q + l. Put c, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 31*m - 1576. Let t be l(51). Let 0 - 2\/7*h**t + 0*h + 0*h**2 + 0*h**3 + 2\/7*h**4 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 20. What is the remainder when 142 is divided by x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvn when three letters picked without replacement from njvj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 1 - (0 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/470)\/(((-18)\/8)\/(-9)))\/(-2)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 29*r + 15. Is s(-12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -277528, -1107949, -2491972, -4429591, -6920800, -9965593, -13563964, -17715907?\n\"Answer: w**3 - 276807*w**2 - 7*w - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2148 = 2*g, 4*t + 3349 = 3*g + 138. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400804681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -8. Let a = -11.5 - u. Let m = a - -0.6. What is the nearest to 2\/3 in 5, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/3 + 242*q**3\/3 + 328*q**2\/3 - 1352*q + 4928\/3 = 0.\nAnswer: -8, -7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5312*i - 10464 = 5530*i for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 14*f**2 + 2)*(24*f**2 + 490*f - 490*f) in the form s + i*f + d*f**2 + j*f**3 + v*f**4 and give v.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 51+20.00166736\nAnswer: 71.00166736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2134, -4291, -6458, -8635, -10822, -13019?\nAnswer: -15226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (10\/(-2) - -9). Solve -4*n - f*a + 0*a = 16, 2*n + 8 = -2*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*h - 11, 4*h = -5*p + 2*h - 13. Let t(j) = 43*j**2 - j**2 - 1 + 14*j**2. Is t(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 0, -8.11?\nAnswer: -8.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*l + 114 - 5, -19 = -l - 2*v. Suppose -260 = -b - 5*p, 3*b + 3*p - 2*p = 822. Calculate the highest common divisor of l and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766622257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, -24, 80 in decreasing order.\nAnswer: 143, 80, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*g - 108429 = -33102 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2282, 5, 13\/75 in descending order.\nAnswer: 5, 13\/75, -2282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-638)\/(-88) + 17 - 31.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1615401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -16.32. Let r = g - -0.12. Let j be (-6)\/4*6\/63. Put j, -5, r in increasing order.\nAnswer: -5, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3\/7)\/z))\/((z\/(z**(5\/4)\/z))\/z)*(z\/z**2)**4 assuming z is positive.\nAnswer: z**(-37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6592*t**2 + t - t - 6588*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65658.85um in millimeters?\nAnswer: 65.65885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 11 - 7)*(1547*c - 1886*c - 2*c**2 + 10 - 9) in the form l*c + d*c**2 + r and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/15*50\/(-5). Solve 2*g + a*z + 9 = 21, -z = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36.98576176 - -5126\nAnswer: 5089.01423824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 6655*a**5 + 9214876*a**4 + 4304563560*a**3 + 701481544064*a**2 + 10780819970288*a - 9075811877568 = 0. What is a?\nAnswer: -5014\/11, -18, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*d + 3*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291140853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**3\/7 - 302416*j**2 + 2016072*j - 8467488\/7 = 0. What is j?\nAnswer: 2\/3, 6, 352812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142214.\nAnswer: 2, 211, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/24 - 2*p**3\/3 + 24*p**2. Let w(q) = -3. Calculate -4*u(m) + 5*w(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88343 is divided by 1299.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 10*i + 525. Suppose 5*s - 7*l = -2*l + 105, -i = -5*s + l. Solve 4*m = o + s, -m + 3*o + 11 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - -33) + 1 + 2 + -17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.114543 meters in millimeters?\nAnswer: 3114.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481413 rounded to the nearest ten thousand?\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22133900 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87576 and 1632.\nAnswer: 5955168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.4, 6.25?\nAnswer: 6.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-9)\/90)\/(-1)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*o*r**4 + 82029*o*r**3 + 24*o*r**2*u + 4*o*r**2 + 2*o*r + 7788*o*u - 2*r**4*u wrt r.\nAnswer: -264*o*r + 492174*o - 48*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l + 4. What is u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3815, 3\/5?\nAnswer: -3815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27405031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/872 and -53\/18?\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2151, 2841, 2085, -117, -3765, -8859?\nAnswer: -15399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32438183 divided by 31?\nAnswer: -1046393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504 is divided by 279.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*g + 46261, 18*g = -b + 15*g + 9261. List the prime factors of b.\nAnswer: 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1463472704 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 + -49.41. Let k = x - -49.00000278. What is k rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - i**4 - 9*i**4 + 20*i**4 + (2*i - i + 0*i)*(-4*i**3 + 2*i**3 + 4*i**3) - 2*i**4 - i**4 + i**4.\nAnswer: 10*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2801, -5590, -8369, -11132, -13873, -16586, -19265, -21904?\nAnswer: -24497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**2 + 6*m + 6. Let x(z) = 1592*z + 85 - 490*z - 513*z - 504*z - 140*z**2. What is -85*g(a) + 6*x(a)?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - t**4\/2 + 10*t**3\/3 + 90*t**2 - 8*t. Give r(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177.1 - 177.8. Put 42, 5, f in decreasing order.\nAnswer: 42, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0*i**2 - 2*i**2 - i**2. Suppose y - 5*c = -4*c + 5, -5*y + 2*c + 40 = 0. Let g(t) = -10 - 10*t**2 + y + 0*t**2. What is n(g(q))?\nAnswer: -300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595386 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 694 - 1978)*(2 - 6 + 3 - s**2).\nAnswer: 1227*s**2 + 1227","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/154 and 155\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:40 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 70 = 4*s + 2*x, 4*s - 3*x = -33. Sort -5, 1, s, -4 in increasing order.\nAnswer: s, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b + 3. Let h be w(5). Let l = -4 + h. Let g(c) = -2*c - l*c + 4*c. Let v(s) = 14*s**2. Calculate v(g(i)).\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 163*w**3 + w**2 - 164*w**3 + 1 - 2*w**2 - w. Let l(n) = -3*n**2 - 2*n + 1. What is -l(y) + u(y)?\nAnswer: -y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*8\/(-12))\/((-13)\/(5512\/16)). What is the closest to c in 0, -4, 1\/3, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15506 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 16*c - 14*c = -8, 4*r + c + 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*y = -1, -5 - 2 = 2*q - 3*y. Suppose 0 = -q*j + 4*s - 4 - 8, -j + 3*s - 1 = 0. What are the prime factors of (3\/j)\/((-1)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*k + 7, k + 4 = -4*v - 15. Let g(i) = -i**3 - 5*i**2 + 3*i + 4. Give g(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + 4*c**3 + 3*c**3 - 11*c**2 - 3*c**3 - 6 - 12*c. Let m be g(-10). Suppose -b + 0*b = -m. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*k + 31611 - 19555 = 0 for k.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/253 and -20\/7.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**7*v**(-1\/2)*v*(v\/(v\/(v**(-5)*v*v*v)))**34)**(9\/5) assuming v is positive.\nAnswer: v**(-1323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Let i(q) be the second derivative of -23*q**3\/6 - 23*q**2 - 7*q. Let o(g) = -g - 1. Let w(r) = -i(r) + 46*o(r). What is w(k(j))?\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 28*l**2 - 935*l + 1532. Calculate j(31).\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r**3 + 427*r**3 + 146*r**3)*((0 + 2 - 1)*(-4*r + 3*r + 2*r) + 0*r - 2*r + 3*r).\nAnswer: 1072*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Suppose 6*u - u - 60 = -g*k, 0 = -3*k + 2*u + 51. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -85, -138, -193?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(68)*1 - sqrt(68)))\/(sqrt(28)\/((sqrt(7) - sqrt(21)\/sqrt(3)) + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 + 580 + (-7 + (8 - 4) - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-6))\/((-126)\/27 - -4). Let s = n + 37. What is the remainder when 166 is divided by s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 1:22 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145250?\nAnswer: 2, 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 6 (c) 5 (d) 0.64 (e) -0.02 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1. Suppose 0 = 4*p - 7*r + 3*r + 8, 0 = -4*r + 12. Let l(i) = 110*i + 5 - 18*i - 29*i - 19*i - 22*i - 28*i. What is p*l(a) + 4*z(a)?\nAnswer: -6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 9*b + 3. Suppose 3*r + 0 - 15 = 0. Suppose 5*q - 120 = -3*w, 3*q - r*q = -w - 37. Calculate the remainder when q is divided by o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 6*b + 5. Let m be w(5). Let d(l) be the first derivative of 2\/3*l**3 + 1 + m*l**2 + 0*l - 1\/2*l**4. Find the third derivative of d(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 4*c - 6. Let p be s(5). Suppose -363*l + 591 = -66*l + 2076. Sort l, p, 1 in ascending order.\nAnswer: p, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epxvg. What is prob of sequence xegp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18963 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(2\/(-4))*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*n + 34*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -17*k**5\/60 - k**4\/8 - 7*k**2. Find the second derivative of p(h) wrt h.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2573.48 + -2581. Let i = 20 - 27.2. Let l = n - i. What is l rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -0*r - r. Let t = 427 + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 6:55 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5225, -0.5 in decreasing order.\nAnswer: 5225, 7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*i = 72, 0 = -2*n + 2361*i - 2363*i - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 2\/9 (c) -109 (d) -2\/7 (e) 1 (f) 2452\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -5.4. Sort z, -5, -8 in decreasing order.\nAnswer: z, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2\/3 (b) 1 (c) 176\/9 (d) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46154487 to the power of 1\/2, to the nearest integer?\nAnswer: 6794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a = 108 + 44 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*x**2 + 2\/13*x**4 + 0*x + 10\/13*x**3 = 0. What is x?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 13, -93, 616 in descending order.\nAnswer: 616, 13, -3, -6, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21de (base 15) to base 16\nAnswer: -1c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391759361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 16 + 24. Let a be (f - -3)\/((-3)\/12). Put 5, a, 1 in increasing order.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13090691 divided by -20047?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-3)\/((-18)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -25 - -31)\/((-396)\/660).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 18, u: 2}. What is prob of picking 2 s?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04337462 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/108 and 107\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/3)\/r))\/r**(3\/19) assuming r is positive.\nAnswer: r**(67\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 845559.3t?\nAnswer: 845559300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17 + 5*d**2 + 4*d - 22 - 4*d**2 + 16*d**2 + 0*d**2. Let k(b) = 18*b**2 + 5*b - 6. Give 4*k(l) - 5*u(l).\nAnswer: -13*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and -0.521586.\nAnswer: 31.816746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3184 - 2464. What is the smallest common multiple of d and 504?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 5. Differentiate -3 + l*s**4 - 4*s**4 + 0*s**4 - 2*s**4 with respect to s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 9209808*p**3 + 21205131639406*p**2 + 42410290908240*p + 21205150059025.\nAnswer: (p - 4604905)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamaaaaaaaaaaamaaaa. What is prob of sequence ma?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-238)\/51)\/(434\/(-279)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/84 - 3*d**7\/35 + 2*d**6\/15 + d**5\/5 - 5*d**4\/6 + d**3 - 30*d**2. Solve f(i) = 0.\nAnswer: -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -6\/10255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 55 = -5*w - 40, 4*w = -5*y + 88. Suppose y = -5*r, 2*z - 3*r + 79 = 1503. Let q = -413 + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w - 9. Let p be b(-1). Let c(u) = 447*u + 9. What are the prime factors of c(p)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - 682\/(-4). Let m = -85 - -29. Let t = m + y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3) - 35\/21)\/((-2)\/(-9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -185.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/49)\/((-12)\/84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9080549m in micrometers?\nAnswer: 908054.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5090, 5087, 5082, 5075, 5066, 5055, 5042?\n\"Answer: -l**2 + 5091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 316423972 to the power of 1\/3, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - 50)\/(-22 + 2) and -145\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(125) - -2*sqrt(125)))*5.\nAnswer: -150*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7658 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15*(-2)\/6 + -3 + 0. Suppose -a*o + 3*g + 448 = 0, 0 = 3*o - 4*g + 7*g - 702. Calculate the remainder when o is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 8:13 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(243\/(-396))\/(-9)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*i - 3*v, 0*i + 6 = 2*i - 3*v. Suppose r - 1 - 19 = i. Solve 5*x = x - r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e9 - -5?\nAnswer: 8ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10702306.\nAnswer: 2, 5351153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.606 - -0.206. What is the biggest value in u, -0.2, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u**2 + 17*u + 3. Let w(v) = 21*v**2 + 33*v + 5. Let l(c) = -10*r(c) + 6*w(c). What is the second derivative of l(n) wrt n?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 15. Let t be x(-8). Let k = 88\/105 - 14\/15. Is t less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -15, 2, 4 in decreasing order.\nAnswer: 4, 2, -1\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k - 34. Give b(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/((-21)\/(-15))*-1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + s + s**2 + (40*s**2 + 19*s**2 + 69*s**2)*(1 - 2 + 4) - 2*s + 2*s + s**2 + (-4 + 2 + 1)*(4*s**2 - s**2 - s**2).\nAnswer: 384*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l + 1. Let x be s(8). Let j be -10 - (-4 + -105) - 3. Suppose -x*g = -157*g + j. What is the highest common factor of g and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/33*(75\/(-10))\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.7 + 35. Let w = y + 2. Which is the nearest to 0.1? (a) 1 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45383907629 - -10.844?\nAnswer: -45383907618.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5*z = z + 3*j + 88, z - 92 = 3*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 34*o**2 + 249*o - 44. Determine u(24).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(3*sqrt(4)) + sqrt(39))\/((sqrt(3) - sqrt(3)*3)*-4).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 522 = -4*v. What is the tens digit of (v\/9)\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from ttsttttkttt.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/23)*y*y)\/y**(-15))\/(y**(-1)\/y)**44)**(-34) assuming y is positive.\nAnswer: y**(-82178\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*v + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 32. Let c be 46\/14 - h\/28. Suppose 2*y = c*x - 52 - 17, -3*x + 69 = -y. Calculate the highest common factor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (127 + -3)) + (-2 - -53) + -45 - 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 34636.1889 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 377842.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/200 - 3\/50. Which is the biggest value? (a) 0.2 (b) m (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -67 - 85. Let a = 57 + m. Calculate the remainder when 75 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and -9\/3619495.\nAnswer: 28955960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -46. Let l = -21 - s. Suppose 2*z - 5*v = 23, -2*z + 1 = 2*v + l. Put z, 4, 0 in ascending order.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -12, -6 in descending order.\nAnswer: -4, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000350655 to seven dps.\nAnswer: 0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1711, -12716, -42477, -100336, -195635?\nAnswer: -337716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 7. Let t(k) = k**3 + 41*k**2 - 43*k - 49. Let p be -47 - ((1 - 1) + -5). Let g be t(p). Let o(r) = -2*r - 13. What is g*v(d) + 4*o(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805429 is divided by 332.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77615 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 17*i + 69. Let j(p) = -3*p**2 - 15*p - 66. Give 8*j(t) + 7*u(t).\nAnswer: -3*t**2 - t - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 10, -3*m - 115 = -5*a - 0*m. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -28385, 1, -3.\nAnswer: -28385, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -341236?\nAnswer: 341242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -4. Let q be ((b + 2)*1)\/(-3). Suppose -5*c + 55 = -q*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxxxxxxxoov. What is prob of picking 1 o and 2 v?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13652828291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**5 - 2820*g**4 - 22324*g**3 - 13788*g**2 + 105848*g - 66912 = 0. What is g?\nAnswer: -697, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*(-4)\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 452 or 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*l**3 - 186*l**3 + 60*l**3 + 62*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1629*m**2 + 24*m - 19*m - 1623*m**2 to i*m + t*m**2 + o and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/30*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-20)\/((-16200)\/110))\/((-1)\/6) and -25\/606.\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -4, -11, -20, -31, -44, -59?\n\"Answer: -x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 352*q - 296\/3*q**2 - 384 + 2*q**3 - 1\/3*q**5 + 3*q**4.\nAnswer: -(q - 4)**3*(q - 3)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -5.06. Let k = g - 8. Put 6\/7, -4, k in decreasing order.\nAnswer: 6\/7, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -43\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-1)\/7)\/(1\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -11*z**3\/2 + 59*z**2\/2 - 77*z. List the prime factors of v(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 341, 676, 1011, 1346?\n\"Answer: 335*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 893, 864, 835, 806, 777?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*v + 8745 + 980, 2*k - 7782 = 4*v. Let l = v - -13676\/7. What is the common denominator of l and (-2)\/3 - 38\/(-48)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6480) + (sqrt(6480) - sqrt(6480)*1) + -2 + 4 + 5)**2 + -4.\nAnswer: 648*sqrt(5) + 6557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, 16, 61, 100, 127, 136, 121?\n\"Answer: -b**3 + 6*b**2 + 34*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6*x - i**6 - 5*i**3*x + 465*i**2*x wrt i.\nAnswer: -240*i**3*x - 120*i**3 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = -5*a, 2*a + 1 = i + 4*a. Let u be (12\/(-7))\/(i + -4). Which is smaller: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(700) + 5*((0 + sqrt(28) - sqrt(28))**2*-5 - sqrt(28)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/6, 0.4, 1\/39, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-525)\/9)\/(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*v + 3 = -v, 4*v - 55 = -5*w. Suppose 3*o - 18 = -j + 134, 3*o = 4*j + 127. What is the highest common divisor of o and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {h: 2, y: 2, o: 1, w: 1, l: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -280, -276, -272?\n\"Answer: 4*y - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2862.9 + -2863. Which is the nearest to -26? (a) -27 (b) 4 (c) y (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 1, h: 3}. Give prob of picking 1 n, 1 o, and 2 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 11:48 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-8))\/((-5)\/(-20)). Suppose -2*t = -3*w + 32, 9 = 5*t + l*w + 39. Let d = t - -9. What is the nearest to d in 3, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/((-2)\/(-48)). Let s be (108\/10)\/(z\/(-30)). Find the common denominator of -2 + 60\/s + -6 and -7\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 163530*r. Let p(t) = -2*t**2. Determine p(o(s)).\nAnswer: -53484121800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (8 - 3) - (0 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 40. Let p = 30 + v. Let x = -27\/2 + 13. Which is the third smallest value? (a) x (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7966, 16745, 26362, 36823, 48134?\nAnswer: 60301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -4*w + 2*w. Is w\/((-3)\/1) - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246 + 246 + 80*q + (2 - 2 - 1)*(2*q - 5*q + q) to n + w*q and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1472*w + 1479*w - 6537*w + 1843*w + 1744*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.105, 0.1, -1722\/31, 3?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167960 divided by 323.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 = -4*z, -q - 8 = -3*z + 3*q. Suppose 5*v - 4*n + n = 42, 4*n = -2*v - z. What is the lowest common multiple of 0 + 2 + 0 + 2 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2765200 by 6913.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16813 + -15504. Calculate the highest common factor of 238 and z.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 45*z**2 - 976*z - 469. Let l(o) = -8*o**2 + 195*o + 94. Let i(d) = -2*g(d) - 11*l(d). Factor i(p).\nAnswer: -(p + 96)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022033443 (base 5) in base 15?\nAnswer: -2c4e68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 651 and 1147?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 9483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -571*c**4\/12 - 50*c**2 - c. Let h(m) = -2*m. Determine h(i(k)).\nAnswer: 2284*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.3 + -9. Let o = n + -0.3. Let m(c) = -c**3 - 6*c**2 - 10*c - 10. Let t be m(-4). What is the second biggest value in 0.3, t, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 4\/37, 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15020.2512 rounded to the nearest one hundred?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -268*-0.07.\nAnswer: 18.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156.6 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1503 + -735. Suppose 3*f - 4*i = -9*i + y, -f - 4*i + 263 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 10, q: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-28))\/((-18723)\/3058090)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4695, -4698, -4697, -4692, -4683, -4670, -4653?\nAnswer: -4632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 12*t**2 + 11*t + 7. Does 7 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1915647*a**5 - 3*a**4 + 20694231*a**2.\nAnswer: -114938820*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s - 156. Let o = -28 - s. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + (-513)\/(-63) + 0)\/(-1). Let t(x) = 4*x - 3. Let n be t(1). What is the nearest to n in d, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 = -j + 2*n, 4*j - 30 = 2*n. Calculate the smallest common multiple of 7 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1413 + 38231\/28260. Find the common denominator of -47\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 17403*g - 17408*g - 24 = 0, 3*g + 21 = -6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2. Let s(d) = 8*d**3 - d**2 + d. Let u be 2 + (1 + -2)*(8 + -5). Let z be s(u). What is the units digit of f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59862 - -5160?\nAnswer: -54702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*m**4 + 2*c*m**3 - 53*c*m**2 - 5*c + 8201*m**4 - 2*m**2 + 8*m wrt m.\nAnswer: -48*c*m + 12*c + 196824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295399, 295126, 294849, 294568, 294283, 293994?\nAnswer: 293701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from yllyllly.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3*-6*(sqrt(1008)*-2)\/(-3*sqrt(144)))*-3)**2*-2.\nAnswer: -18216 - 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*k**2*q**3 + 660*k**2*q - 36*k**2 - 225*q**3 wrt q?\nAnswer: -66*k**2*q - 1350*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*2 + (4 - -16). Suppose 3*r - 4*l + 17 = 20, 3*r + 2*l = 3. Sort b, -4, r in descending order.\nAnswer: b, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 494 = j + 1543, -5*i + 4*j - 10167 = 0. Which is smaller: i or -2034?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5323?\nAnswer: 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2. Let g be m(2). Suppose g*j + 3*u + 172 = 4*j, 0 = 4*u + 16. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2123072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 10*q - 3. Let r be c(3). Solve -r*y + 4 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24219003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.8 (b) 2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15378327 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 - l**4\/3 - 5*l**3\/6 + 17*l**2. Calculate b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 0 - (6 + -43) - 34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188b1 (base 13) to base 9.\nAnswer: 72305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 5, -8, -23?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 113864 divided by 2481?\nAnswer: 113864\/2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -21. Calculate the smallest common multiple of 6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1392\/(-1856)*(616\/(-12) - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1624, -3265, -4906, -6547, -8188, -9829?\nAnswer: -11470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 18*h - 1. Let w(i) = -2*i**2 + 19*i - 1. Let r(y) = -3*q(y) + 2*w(y). Give r(-13).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5253 not equal to -5269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*c - 50. Calculate the lowest common multiple of 8 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*n = 36 - 36. Solve -17*l - 75 - 10 = n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2856517.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*i + 16 = 0, -261*n - 24 = -252*n + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 432.8917 nanograms?\nAnswer: 0.0004328917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -297 - -317. Suppose 0 = 5*a - y, -4*f = -9*f - 2*a + 443. Calculate the greatest common factor of f and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138881 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: Express -2*r**4 + 1 - 2 + 4*r**2 - 5*r + r**2 - 3*r**2 in the form n*r + c*r**2 + t + y*r**4 + l*r**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4158125*h**2 - 2*h - 1061765.\nAnswer: -8316250*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000807094958 to 6 decimal places.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 5*q**3 - q**2 - q + q**4 - q**2 - 2*q**3 to x + g*q + j*q**4 + p*q**3 + s*q**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/(-81)*-104*(-39)\/2. Let o = y - -1353. Let u = 0.38 - -0.02. Which is the second biggest value? (a) o (b) u (c) 0.3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 22211?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 + 1)) + 19 + (4 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let y = 659 + -659.277. Let o = -0.247 - y. Which is the second smallest value? (a) o (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from abbbttabtartg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(7\/((-14)\/15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - u + 6. Let b be p(4). Suppose -1 = 2*f - 3, 0 = 3*t + 4*f - 271. Let c = -54 + t. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -653*r. Let w(a) = -80*a + 9. Let i(n) = 505*n - 57. Let t(j) = 3*i(j) + 19*w(j). What is t(z(k))?\nAnswer: 3265*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a gram in milligrams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14036?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 5*z - 2*z)*(-z**3 - z**3 + 3*z**3) + 0 + 0 - z**4 - 19*z + 494*z**3 - 494*z**3 - 5*z**4.\nAnswer: -8*z**4 - 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -79482547 minus -93.79?\nAnswer: -79482453.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30956 by -1707.\nAnswer: -30956\/1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -a - 3*z + 1, 2*a - z = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353152 (base 6) to base 12.\nAnswer: 157b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 3*m + 1747*m**2 - 227*m**4 - 1747*m**2 to f*m**4 + r*m**2 + t*m**3 + b*m + l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27621236?\nAnswer: 2, 1451, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 15 = -2*j - 4, 4*q = 2*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-25) + 84602\/3120. Let s = 26\/1179 + -388229\/15327. Let f = s + q. Calculate the common denominator of f and 88\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/13 + 14*v**3\/39 + 7*v**2\/13 + 4*v\/13 - 16. Factor y(w).\nAnswer: 2*(w + 1)*(w + 2)*(2*w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 8:09 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.386 * -45\nAnswer: 17.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66122 and 85014.\nAnswer: 595098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-176)\/(-12)*163338\/56 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 439246, 438620, 437994, 437368, 436742?\n\"Answer: -626*a + 439872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -4*(2 + sqrt(475))**2).\nAnswer: 160*sqrt(19) + 3842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/3430 and 25\/1813?\nAnswer: 126910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-4)*0)\/(3 - -1) + 85778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j - 52. Determine q(8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/(-15))\/((-4)\/(-70)). Let h = -279\/5 - w. Suppose 22*j + 15 = 17*j. What is the smallest value in j, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 31. Let d be p(-5). Let s be ((-2)\/22)\/(d\/121). Which is smaller: 18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1267062 - -1268453.798. Let t = 1393 - m. What is t rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -20 - 66\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 v when three letters picked without replacement from {e: 5, r: 2, v: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/10)\/c)\/(c*c**(5\/17))*(c\/(c*c*c**(-3\/10)))**(-2\/5) assuming c is positive.\nAnswer: c**(-2477\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-270)\/(-60)*((-26)\/12 - -2). What is the third biggest value in 6, -6\/5, f?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81307, -79060, -76813?\nAnswer: -74566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -8, -3, 88, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/63 (c) -723099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 64.4, -2 in ascending order.\nAnswer: -2, -0.5, 64.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**2\/2 + a. Let x be 2 + 3 + -11 + 7 - -348. Let o = x - 352. Let l(u) = -u + 4. Determine o*l(r) - 12*c(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 5*j**3 + j**2\/2 + 2*j + 4. Is 12 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21*(624\/392)\/39. Find h, given that -r*h - 3\/7*h**4 - 15\/7*h**2 - 12\/7*h**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.01 - -0.01. Let m = y + 1.4. Let z = 4 + -3. What is the third biggest value in 0, z, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ed (base 16) to base 14.\nAnswer: -3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315.95 + -317. Let a = 3.05 + d. Let t = 3 + -3.5. What is the biggest value in t, 0.4, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 3*f + 3. Let g be i(-3). Suppose 11 = -4*z + 47. Suppose -5*a = -4*k - 4, -2*a - 1 = -z. Solve -n - g*n = k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -1399948.\nAnswer: -13999.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 814335 + -814335.2317268. Let x = -138.2414268 - n. Let c = 138 + x. What is c rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) 0.3 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6065*s + 8292 = -606*s + 476162 + 132520 for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 435, 435, 451, 489, 555?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 1:21 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + 82 + -82 + 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + a707?\nAnswer: a704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(4 - 5) + -5. Suppose -4*u = -9*u - 3*m + 48, 0 = -a*u + 2*m + 43. Let g(n) = 0*n**3 + 7*n**2 + n**3 + 446 - u*n - 449. What is g(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3455 - -288. Suppose -s = -5*r + 4117. List the prime factors of r.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*a + 12103 - 12103 to c*a + y and give c.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33347\/7624 + 1\/953. Let k = 4483\/4 - 1138. What is the common denominator of k and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:01 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 10:27 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from bbgbgaakaggrna?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3717 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrryrrry.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 133 = 4*c. Suppose 0 = -3*q + 2*i + c, 0 + 4 = 4*i. Let a = 14 - q. Calculate the highest common factor of a and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36162830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 19. Calculate the remainder when g is divided by (11\/(-33))\/(1\/(-57)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*v + 45*v + 6. Solve -v = u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7603 + -631. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0511 + -0.1111. What is the second biggest value in -1, w, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8087737 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54649.35 millilitres?\nAnswer: 54.64935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 2*d)*(-3 + 3 + 2) + 0*d - 3*d - 4*d + (-3*d + 2*d + 0*d)*(2 - 2 - 1) - d - d + 3*d + 34*d + 31*d + 31*d + 3 - 3 + d.\nAnswer: 94*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o + 3*o + (2 - 3 + 2)*(o - 2*o + 0*o) - 2*o + 2 - 2)*(-55*o + 509 - 509) to the form q*o + f + r*o**2 and give r.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 + 9411*j + 7370310 = 0. Calculate j.\nAnswer: -1627, -1510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 37. Let u be y(8). Suppose 3*t + 7*z = 10*z + 336, -4*t = -u*z - 447. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 25. Let p(a) = 5*a**3 - 4*a**2 - 6*a + 7. Let c be p(h). What is the tens digit of c\/21 + 4\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -190*a - 15. Let q(f) = -95*f - 7. Let v(r) = 6*p(r) - 13*q(r). Is v(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n + 26 = 0. Let a = 25 - n. Calculate the remainder when a is divided by 1 + 5 - 1*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 215*t + 1330. What is the lowest common multiple of 805 and w(-105)?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let d = 108 - 159\/2. Let l = d + -27. Which is the closest to 1? (a) 0.4 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s - 4 = -39*s, -s = 2*c - 5. Calculate the highest common divisor of 1410 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.31418082976 take away 0.2426?\nAnswer: 2.07158082976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6889 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 606 + -500. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159488 and 155750.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109728390 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1084 * 298528.\nAnswer: -32360.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3) + 3\/(-1). Let z = -3 - 1. Let c be 2 - (3 - (-1 - -2)). What is the nearest to d in c, z, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2843 = 8*n - 39*n - 3153 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, b: 2, s: 2, j: 5}. Give prob of picking 2 w and 1 j.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edpvi. Give prob of sequence iei.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6587626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 9*x**2 - 2*x + 17. Let l be h(-9). Suppose -45 = -10*r + l. Solve -2*v - 2*v = -r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12644 and 2552.\nAnswer: 278168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270118827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004284676 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d5dc8 (base 14) in base 12?\nAnswer: 20a638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*k**2 - 5*k - 6*k + 11*k + 107*k**2.\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 0*f**2 + 443 - 7*f**3 + 12*f - 430. List the prime factors of o(-4).\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-14 + 14 - (-1 - -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**8\/392 + f**7\/490 + 9*f**6\/280 - f**5\/35 - f**4\/14 - 1548*f**2. Solve j(p) = 0 for p.\nAnswer: -2, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462214856 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 23*o + 49. Let m be i(-2). Let c(p) = 20*p + 29. Let v be c(m). Solve -14*k = -v*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, e: 2, n: 5, q: 3, t: 5}. Give prob of picking 2 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/186192 and -89\/27153.\nAnswer: 1303344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304.0934 + -0.0934. Is w >= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6259 (base 14) to base 6.\nAnswer: 210223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from zprprrzpzzrzxrrzz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9647*s + 9646*s + 3*y + 32, -2*y = 9*s - 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -123. Let y be (1 - -12) + (t - -1). Solve -11 = 5*i + y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 29. Let o(p) = 33 - y - p + 0*p. Suppose 2*k + 16 = -3*h - h, -3*k + 12 = -3*h. Calculate o(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2093526542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*m**2 - 476 + 329 + 147 + 2*m.\nAnswer: 82*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*-1)\/sqrt(5) + sqrt(45) + sqrt(405)\/sqrt(144))\/(-3*sqrt(81) - (sqrt(1296) - 2*sqrt(1296) - sqrt(1296))).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 17*a = -12. Suppose -5*c - 57 = -4*m, 0*c - a*c + 5*m - 16 = 0. Is c at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -153 - -150. Which is smaller: p or 0.046?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -160, -158, -156, -154, -152?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747274.\nAnswer: 2, 431, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 0.09. Let n = -0.15 + g. Let z = 1\/106 - 111\/530. Is n smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -1. Suppose 24 - 4 = 4*r. What is the second biggest value in 2, m, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 1 (c) 2\/11 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -370 and -0.02?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b. Suppose b = h - 0*h. Calculate the remainder when 58 is divided by h + 0 - -4*5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.6. Let q = -3.4 + w. Which is the third smallest value? (a) q (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2. Let f(p) = 103*p**2. Calculate f(c(s)).\nAnswer: 1648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 + -125. Calculate the highest common divisor of 70 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17677 = -5*q, -912*q - 29555 = -5*y - 917*q. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 + 3. Let k be o(7). Let n = 6 + 13. Suppose 22 = l + 4*s, -l = 2*l - 5*s + n. What is the highest common divisor of k and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60\/36148987 and 8\/77?\nAnswer: 397638857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 75 (c) 5 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 4)*(-3*u - 2*u + 3*u)*(1 - 2 + 7)*(4*u**4 - 2*u**4 + u**4).\nAnswer: 288*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 50. Let w be p(11). Let t(v) = -17 + v + 12 + w. Let q(s) = -3*s + 1. Give q(f) - 3*t(f).\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -36*q**2 + 3. Let j(o) = -o**2 - 3. Let v(f) = -6*f**2 - 9. Let a(s) = 3*j(s) - v(s). Determine g(a(n)).\nAnswer: -324*n**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 8 - (1 - -1 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40852*v**3 + 20379*v**3 + 20474*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 46180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-45)\/2)*(120\/96)\/((-220)\/(-132)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 8 - 5 - 3*m + 6. Let u be k(4). Put -0.09, u, 0 in decreasing order.\nAnswer: u, 0, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**4 + 4*b**4 + 94996 - 94993 + 3*b to the form d*b**2 + y*b + k*b**4 + o + s*b**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*2058\/56511 + (-10)\/15 + (-32)\/(-39).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 = -8*w. Let a = -8 - w. Let r = a + 49. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8e (base 15) to base 4\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3430 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -61?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -937, -938, -941, -946, -953, -962?\n\"Answer: -o**2 + 2*o - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1504 or 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69735772?\nAnswer: 2, 89, 195887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:14 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -60. Let r be -1 + -5 - (-2 - -3)\/z. Which is greater: -6 or r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001101 (base 2) to base 4.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20162 is divided by 3352?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 2*p = 55, -14*k + 9*k + 30 = -p. Solve -z + 7 = -r, k + 11 = 3*z - 2*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 3*y + 2. Let f be a(1). Let o(u) = -u + f*u - u. Suppose -q + 25 = 4*q. Determine o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Let d = -0.0556 - 0.3444. Let o = -30\/17 + 167\/85. What is the closest to 2\/5 in o, d, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -13*x + 10*x, -3*y = 4*x + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2911, -2913, -2915, -2917, -2919?\nAnswer: -2921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 - 14)\/((-1)\/4). Let v be ((-1622)\/r)\/(3\/42). Suppose -j = -4*j - 2*b + v, 5*b = -4*j + 7560. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 0*z - 7 - 3*z**2 - 6*z. Let f be p(-3). What is the tens digit of (472\/(-32))\/(f\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -0.9 (c) 0.2 (d) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229 + 107. Let z = 122.0134 + p. What is z rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96141.\nAnswer: 3, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 299033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 14184?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 3*y + 65, 2*z = -3*y - 35. Let i be -3 + -5 - 124\/2. Let l = z - i. Is 30 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000188238 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**3*i)))\/i)**(-26\/3)\/(i**(-10)\/i*i*i**(9\/4)) assuming i is positive.\nAnswer: i**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*(-18)\/(-4). Let d(a) be the first derivative of -4*a + 2 - 1\/4*a**4 - 1\/3*a**3 + q*a**2. Give d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(17))**2)*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89827 or 89835?\nAnswer: 89827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 3*y)*((-2 - 2 + 1)*(-5 + 1 + 3) - 3 + 6 - 2 + 27 - 4 - 1).\nAnswer: 78*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) -1 (c) 2\/19 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -238, -239, -240, -241, -242?\n\"Answer: -r - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(3 + 0 - 2)*(5842*l - 11743*l + 5814*l) to i*l + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d**2 - 3997*d + 1618. Calculate g(-236).\nAnswer: -1922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3721*m**6\/3 + 3396*m**2 - 1334. What is the second derivative of c(r) wrt r?\nAnswer: -148840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, 22.9204, 1.\nAnswer: -5, -2\/11, 1, 22.9204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(24\/(-18)))\/(63\/(-28)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 6. Suppose 4*a = -4*z - 21 - 19, -4*a - 2*z = 34. Let l be (-10 - -31)*(-3)\/a. Suppose 0 = -11*d + l*d. Give m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6460)\/(-323))\/((-8)\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1509640 and 1108140.\nAnswer: 104165160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 59\/5 of a hour?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4718 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40470 (base 8) to base 12\nAnswer: 97b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkj when three letters picked without replacement from {e: 3, p: 2, k: 2, j: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -145\/2. Let x = -1332 - -1334. Is x less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d. Let c(l) = -l**2 + 5*l - 4. Let x be c(3). Let a(o) = o**x + 17*o - 17*o. Give a(q(t)).\nAnswer: 121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 72*z + 12. Let t be i(-22). Let n = t - -371. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114214 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-180)\/(-4)*1\/3. Let g = 20 + t. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 594.07 - 597. Let y = n - 0.07. Let t = 195 - 190. Which is the second smallest value? (a) y (b) t (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*r - 21, -5*f + r + 91 = -r + 122 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650956 is divided by 81369.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.079 - -0.921. Put -5\/6, i, -165 in decreasing order.\nAnswer: i, -5\/6, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**19)*u**(2\/5)\/u assuming u is positive.\nAnswer: u**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 36\/11*(-275)\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-13)\/3)*(-15)\/10. Solve 0 = -5*y + 25, 3*y + z = -2*b + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 76\/8 - 6\/(-4). Suppose -9 = -5*j + 2*l, -19 = -5*j - 5*l + r. Suppose 1\/3*q**4 + 0*q + 0 + 1\/3*q**j + 0*q**2 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l - 15848 = -15344 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247519 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 1. Let v be l(0). Let s = 17 + -15. Which is the nearest to -0.3? (a) s (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1495 + -1491. Solve -2*y + d*p - 1 = 9, -y + 3*p = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7783*h**2*k - 31*h*k - 40*h wrt h?\nAnswer: 15566*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 130547.\nAnswer: 130547.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:06 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64485762 and 192013.\nAnswer: -64293749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 138428825 and 138428827 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -312 - 245*y**5 + 312 + (-2*y - 4 + 6 + 0)*(2*y**3 + 6*y**4 - 2*y**3).\nAnswer: -257*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3763*m + 79099 + 4498*m - 79099 + 5428*m to the form a*m + z and give a.\nAnswer: 13689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oze when three letters picked without replacement from {r: 1, n: 1, z: 1, o: 4, t: 2, e: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8.9881. What is a rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**7\/126 - 17*t**6\/360 + t**5\/30 + 2*t**2 + 1. Let x(m) be the second derivative of u(m). Suppose x(f) = 0. What is f?\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443915421?\nAnswer: 3821, 639601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -7, -0.4, 1, 2\/21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58737 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - 2*m**3 + 2*m**3)*(-18 + 24 - 13)*(-7 + 1 + 2).\nAnswer: -56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - v**2 + 4. Let n be ((-35)\/(-20))\/(1\/(-4)). Let w(c) = c**3 + 7*c**2 + c + 9. What is the remainder when k(0) is divided by w(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 175 - 165 = -g, 0 = 5*t + 2*g - 43 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f - 3*f + 12*f + (0 + 4 + 0)*((f - 2 + 2)*(2 + 1 - 5) - f - 5*f + 5*f - f - 4 + 4 + 3*f - 5 + 5).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**8\/84 - 23*y**6\/24 + y**5\/60 + 7*y**4\/2 + 993*y**2. Find the third derivative of d(g) wrt g.\nAnswer: 240*g**2 - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 240*m - 2198340*m**2 + 3 + 2198401*m**2 - 240*m.\nAnswer: 61*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*v + 7*v, -4*i + 13 = v. Suppose -3*s - i*s - 40 = 0. Let l be 22\/s + (-2)\/8. Sort 2, 1, l in descending order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*t + 8, 4*t + 17 = 1. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/2 + 2300 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6*h + 1\/11*h**2.\nAnswer: h*(h - 66)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 61*i - 51 = 0. Let v = -5 + 5. Factor d**2 - 3*d + v*d - i*d**2 - d**2.\nAnswer: -3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1872943888 to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 2562?\nAnswer: -8\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6295, -12555, -18777, -24961, -31107, -37215, -43285?\n\"Answer: 19*t**2 - 6317*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 107. Let c(m) = -m**2 - 1. What is 2*c(x) - z(x)?\nAnswer: -3*x**2 + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -15. Suppose 5*j - x = 691, -7*x = -3*j - k*x + 411. Suppose j = 5*y - 127. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27341.78 tonnes?\nAnswer: 27341780000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 7*m - 1. Let j be z(-5). Let i be (-8)\/(-4) - j\/4. Suppose 0 = 5*w + 5*d, -2*w + d = i*d + 6. Solve 5 - w = -r - 3*q, -r - 3 = 4*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415026 (base 7) in base 6?\nAnswer: 1310220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 113 = 4*z, -3*z + 87 = 3*m - 0*m. Let w(c) = -9*c + 94. Let y be w(16). Calculate the remainder when -1*1 - (y - 51) is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276924 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 10) + 0 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77\/4? (a) -188 (b) 1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 + 5*i**2\/2 - 3*i + 1. Let g be x(-5). Is 27 + g + -2 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191695750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575267083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**4*d - 1273*b**4 + 28*b**2*d + 3892*b*d wrt b.\nAnswer: -312*b*d - 30552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 + 241 - 403 + 18*o**3.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + i = 4*i - 4, 0 = -2*r - i - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 247 = -129. Is v a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in 7\/4, -4, 110?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10011111 (base 2) to base 5\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267\/7, 1, 11, -4, 0.1, 5 in ascending order.\nAnswer: -267\/7, -4, 0.1, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8185 and -25?\nAnswer: -204625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2\/4 - 111*z\/4 - 153\/2 = 0.\nAnswer: -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoho when four letters picked without replacement from {o: 12, h: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -38\/9, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/((-7750)\/713) + (10 - (2 - 0))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 18 = -3*l, 2*o - 6*o + 5*l = -72. Let v = 2718053\/7 - 388293. What is the closest to -0.3 in o, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (67 + 107 + -227)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 11}. Give prob of picking 2 w.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/7, 3\/2, -3, 2\/7, -1 in descending order.\nAnswer: 23\/7, 3\/2, 2\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4389, -5, 217\/27, -4\/3 in increasing order.\nAnswer: -5, -4\/3, 0.4389, 217\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -24. Let k = 71 - o. Let q be 66\/(8\/(128\/6)). Calculate the greatest common divisor of k and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -9*f + 8. What are the prime factors of ((-27)\/81)\/(f\/(-384))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 32*t**2 - 1352*t - 43498. Calculate n(-33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1330*n. Let a(g) = g**2 - 115. Determine a(l(d)).\nAnswer: 1768900*d**2 - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -147, -1, -5 in descending order.\nAnswer: 3, -1, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521.981 micrometers in meters?\nAnswer: 0.002521981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209014.\nAnswer: 2, 13, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 18.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let t(x) = -x**3 + 8*x**2 - 7*x + 5. Let f be t(7). Suppose -f*v - 1 = 2*n - 16, a*n - 42 = -v. Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 988, 18, 1, 4, 3 in ascending order.\nAnswer: 1, 2, 3, 4, 18, 988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11527621?\nAnswer: 7, 83, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let n(q) be the third derivative of 17*q**9\/504 - 79*q**5\/60 + 165*q**2. What is the third derivative of n(m) wrt m?\nAnswer: 2040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/24 + 7*s**3\/6 + s**2 - 50*s. Calculate m(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 767, 1740, 3107, 4868?\nAnswer: 7023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.055 (b) -0.032 (c) -2\/2005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -6\/5*g**2 + 16\/15*g**3 + 11 - 1\/5*g**4 + 0*g. Factor w(x).\nAnswer: -4*x*(x - 3)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*i**2 - 16 + 0*i - 51 - 36*i**2 + 2*i + 39*i**2 + 2*i**3 wrt i.\nAnswer: 12*i - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10075*b**2 - 160430*b + 62560.\nAnswer: 5*(5*b - 2)*(403*b - 6256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhrzzzrrzzrrbzgrrz. What is prob of picking 3 r and 1 h?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125.501 * 0.06.\nAnswer: 7.53006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - 98. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9158373 and 0.3.\nAnswer: -9158372.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 3. Let w be f(-7). List the prime factors of w\/6*234\/(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*3\/(-15)*-2. Let p be h*4\/(16\/6). What are the prime factors of (p\/1)\/(-1) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -12 + 10 + -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let x = 72 + -70. Let u be 5\/2*4\/2. Let t(i) = x - 5 + 3 - u*i. Determine z(t(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + -4 + (sqrt(2) - -1*sqrt(2)) - ((sqrt(162) - (sqrt(162)*-1 + sqrt(162))) + 3)))**2.\nAnswer: 448*sqrt(2) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Suppose -3*d + 18 = -0. Let u(c) = 8*c - 25. Let t(w) = d*u(w) + 51*l(w). What is the first derivative of t(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*l + 245 - 238, -17 = 4*d - 3*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 45*z - 32. What is p(-21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 98*c**4\/5 - 3976*c**3\/5 - 23790*c**2 - 139500*c = 0?\nAnswer: -75\/7, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 1011101000101001000010?\nAnswer: 1011101000101000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**3 - 5*q**4 + 13*q**3 - 3*q**4 - q**3 + q**3 + (-1 + 1 + 5*q)*(3*q**3 - 6*q**3 + 2*q**3) + 0 + 0 + q**4.\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 6 = 5*m + 17*w, 5*m - 10 = -5*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14094640 = 3*u - 4200843, -4*u = 4*m - 18295484. Let l = m + -2909870. What is l rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-12))\/((-6)\/(-4)). Let v = -5 + 7. Factor -z*d**2 - 2 - v*d.\nAnswer: -(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4289?\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 19*c - 2*c. Is 1\/397 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 24*l**2 + 112*l - 1019. Determine n(21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/7 - 410*u**2\/7 + 4282*u\/7 - 3870\/7 = 0.\nAnswer: -215, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/612555 and -62\/3783?\nAnswer: 7963215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26130 and 12998?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 56.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -657 - -657.0000127. Round d to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let n = -120.072 + 120. Let l = -0.192 - n. Which is the nearest to w? (a) 3 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*(5909715\/(-14))\/15. Let t = g + -32461. Round t to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 51479869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -4)*-2*2. Solve 6*n + 2 = n + 3*t, s*n - 5*t = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k + 2. Let s(l) = -8*l - 1. Let n(h) = -7*s(h) - 4*z(h). Is n(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.06 - -3. Let i = 4.94 - p. Sort -1\/4, 1, i in decreasing order.\nAnswer: i, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -4324272\nAnswer: -1\/1081068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2658617 is divided by 73850?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436187 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v. Let p = 150 + -151. Let y(o) = o**2 + o + 3. Let q(u) = 13*u**2 + 2*u + 6. Let m(k) = p*q(k) + 2*y(k). Calculate m(j(n)).\nAnswer: -891*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + z = -4*j + 20, 0 = 3*j + 3*z - 15. Suppose -m + 12 = -8. Calculate the highest common factor of j and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184631215 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * -194.8763.\nAnswer: 6.8206705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2719*b*v**2 + 6091556*b*v - 22282*v**2 + 16 wrt v?\nAnswer: -5438*b - 44564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3a6839 (base 13) to base 4\nAnswer: 11121032313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*r = 91*r - 171*r + 8316 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:42 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 45. Suppose k*m - 84 = 11*m. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 26. Let x = -31 - -38. What is the remainder when 73 is divided by h(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2138552*g. Let m(k) = 6*k**2. Give o(m(a)).\nAnswer: -12831312*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a + 2*a + 22*a + 16*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(-5 + sqrt(1053)*-1*-4)**2 - (-1*(sqrt(1053) + (sqrt(1053) - (1 + sqrt(1053)))**2) + 5 + 1*sqrt(1053))).\nAnswer: -4320*sqrt(13) + 202460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298 and 180652?\nAnswer: 26917148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3574 - 3538. Calculate the remainder when 312 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/(a\/a**1))\/((a*a\/(a*a**(-5\/3)))\/a**(-2\/9)))\/((a**(1\/5)\/a)\/((a**(4\/3)*a)\/a))**16 assuming a is positive.\nAnswer: a**(1376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 + 11*k + 13*k - 26*k + 6*k in the form i*k + u and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24235, 96946, 218137, 387808, 605959, 872590?\nAnswer: 1187701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.147599 rounded to two dps?\nAnswer: -246.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = 5*q. Suppose -g + 77 = 4*o, q*o = 3*g + 95 - 26. Suppose 6 + 49 = 5*t. Calculate the remainder when o is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 27*q - 1. Let t(w) = -13*w. Give -2*d(f) - 5*t(f).\nAnswer: 11*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9*1*3. Let n = 492 + -316. Suppose 0 = 4*i - n + 164. Which is the third biggest value? (a) 25 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40353 is divided by 197.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -898\/3703 or 62?\nAnswer: -898\/3703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 3*d - 2*w, 11*d - 30*w - 76 - 129 = 234 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2892.\nAnswer: 14460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/((-12)\/(-54)). Let s(d) = -14*d - 8. Let r(v) = -9*v - 6. Let z(c) = -7*r(c) + 5*s(c). Give z(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 357*d**2 - 357*d**2 + 8 - 3*d**3 in the form b*d**3 + r*d + o*d**2 + a and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 + -3.602. Let v = -0.2979788 + r. What is v rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21730*g + 16867*g + 9245*g.\nAnswer: 47842*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-54)\/(-45) - 4\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269476 minus -1679?\nAnswer: -267797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -13*c**7\/21 + 31*c**3\/6 + 5*c. What is the second derivative of m(a) wrt a?\nAnswer: -520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 + (-21)\/(-15). Let x be (1 - c)\/((-12)\/2). Which is greater: 2\/459 or x?\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 3. Let z be t(-10). Let i = z + 28. What is the remainder when 20 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*a*l + 4*a - 14*l + 1 with respect to a.\nAnswer: -11*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -237*q**6\/8 + 511*q**3\/6 + 34*q**2 - 7*q + 5. Differentiate l(s) wrt s.\nAnswer: -10665*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 + 42 = 0. Let a(y) = -y**3 - 9*y**2 + y + 9. Let r be a(m). Factor -4\/5*t**2 + 6\/5*t**3 + 0*t + 0 - 2\/5*t**5 + r*t**4.\nAnswer: -2*t**2*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15*976\/(-114400) + 2\/11 and -121\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:15 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 5*h = 60*t - 32*t - 29, 0 = 3*h + 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**7\/(q**0*(q*q*q**(-6\/5))\/q*q) assuming q is positive.\nAnswer: q**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*h + 13 + 14*h**2 + 12*h - 11 to the form v*h**2 + s*h + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 5:30 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26442, -30559, -34676, -38793, -42910, -47027?\n\"Answer: -4117*l - 22325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 - 170*z**2 + 55*z + 18. Determine f(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 35 = -4*x + i, -i - 8 = -x. Let l(w) = -106 + 106 + x*w. Let z(b) = -487 + 244 + 7*b**2 + b**2 + 243. Calculate z(l(m)).\nAnswer: 648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5339.\nAnswer: 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2158 and 13913954.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:09 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 12) to base 7.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 3. Let q(h) = h**3 - h - 18. Let j be q(0). What is the units digit of 5*(0 + j\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/10 + 7*l**4\/4 + 3*l**3\/2 - 6*l**2 - 57*l. Is c(10) 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 -96333, -96330, -96325, -96318, -96309, -96298?\nAnswer: -96285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p - 2*p**2 + (-2 - 7 + 0)*(-28*p + 28*p - 4*p**2) + (0 - 2 + 0)*(6*p**2 - 2*p**2 - 3*p**2).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849265.\nAnswer: 5, 29, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:19 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**7\/1155 + h**6\/396 + h**5\/660 - h**3\/6 + 6*h. Let j(i) be the second derivative of w(i). Let j(p) = 0. What is p?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 96*t + 95*t - 191*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5 + 4*b + 2 - 2. Let a(h) = -6*h - 2. Let t be a(-1). Let v be 0 + t*(1 - 0). What is w(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 6*z + 5. Let d = 439 + -446. Let s be d - (1 - (3 + 1)). Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101078.9199us to weeks.\nAnswer: 0.00000016712784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/2)\/((-8)\/32). Suppose 2*c - 3*b = 315 - f, -c + 5*b + 130 = 0. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.111+-0.069193699281\nAnswer: -0.180193699281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -600, -1199, -1798, -2397, -2996, -3595?\n\"Answer: -599*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - 4*j + 3*j + 5*j + 8*j + 17*j + 2*j + 2*j - 6*j + (0 + 3 - 1)*(j - j - j) + j - 3 + 3 as l + o*j and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54860*i**2*u**3 + 2252*i**2*u**2 + 2*i**2*u wrt u.\nAnswer: 329160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*v + 15 = -b, -4*b - 5*v = 0. Let l(x) be the first derivative of -x**2\/2 - 4*x + 1. Let u be l(b). Put 0.2, u, -3\/4 in descending order.\nAnswer: u, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22844\/37677 or 2?\nAnswer: 22844\/37677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g + 0*g)*(-g + 1 - 1) + 52*g - 7491 + 7490 + 24*g**2 - 48*g.\nAnswer: 22*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2525)\/(-808) + (-1)\/8. Solve 5*b - w*x - 2*x = -20, 3*x - 13 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/(-12) + 8)\/((-23)\/(-176)). Which is smaller: 32 or l?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and ((-32)\/120)\/(2\/(-10))*21?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 17. Let n = 47 - 32. Let t be ((-3)\/(-25))\/(n\/(-10)). Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -85. Let k be 22 + s\/(-2 - -5). Solve -2*f + 0*b = -b - 2, -3*f + 5*b = -k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 524 = 1060. Round r to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.96 + -2. Let r = 252 - 143. Let u = 111 - r. Put d, u, -1\/5 in ascending order.\nAnswer: -1\/5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1266 + 141791\/112. What is the common denominator of i and -101\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:24 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41 - -43)*4*(0 - -14). Is 8 a factor of (-2386)\/(-14) + (j\/49)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-111*264)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 3c234b?\nAnswer: 3c2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4 + 835*b**3 - 5796*b**2 = 0.\nAnswer: 0, 7, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*b + 4*b - 7*b + 95 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 19*i + 35*i - 8*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.057 - 1623214351.4.\nAnswer: -1623214351.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**9)*f)*f**(1\/5)\/f)**8)**23 assuming f is positive.\nAnswer: f**(7544\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 85*j - 347. Let d be s(5). Solve -446 = 46*k - d for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d**2 - 8*d**2 - 2*d**2)*(2 - 2 + 3*d)*(-7 - 1 + 5) to the form w*d**3 + u*d**2 + r + v*d and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -14877982.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*q*r - h*q - 7*h*r*w**2 + 3*q*r*w + 49*q*w + 2*w**2 wrt r?\nAnswer: -h*q - 7*h*w**2 + 3*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*h + 2 - 3, 0 = 2*r - 5*h - 34. Let c be ((-3)\/9)\/(r\/(-1197)). Let f = c + -41. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2480 + 2455. Is z less than or equal to -239\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2)*10\/100)\/(57\/266)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.222 and -9234 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*i**2 + 0 + 2\/17*i.\nAnswer: -2*i*(i - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2)*-1 + 16. Let g(b) = b**3 + 30*b**2 - 35*b - 45. Let o be g(-31). Suppose 12*r - 151 + o = 0. What is the highest common factor of k and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -303, -491, -675, -855, -1031?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (285903\/(-54))\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 - -2.2. Let t = 3 + j. Let i = -54 - -56. What is the nearest to 1 in -4, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8448)\/(-198))\/128)\/((1 - -2)\/405)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 9*x**2 - 11*x - 15. Let d be w(-10). Put d, -1, 42, 2 in descending order.\nAnswer: 42, 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*j - 9 = 0, -2*j = -h - 5*j + 10. Suppose -135 = -10*x + h*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-36) - (-166)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 173, 2, 17988, 5 in decreasing order.\nAnswer: 17988, 173, 40, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.109273669 - 0.4.\nAnswer: -0.290726331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (59 + (-2 - 39)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 95, -22, 5, 2, -20 in decreasing order.\nAnswer: 95, 6, 5, 2, -1, -20, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(4 - 3 + 1)*(-2 + 5 - 1)*(0 - 2*n + 0).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.014923597.\nAnswer: -0.0044770791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/6 + 6*h. Let q(u) = 4*u**2. Determine j(q(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -853, -1714, -2575, -3436?\nAnswer: -4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -173, -268, -359, -440, -505, -548?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491452 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*t - 728 = -89*t. What is the remainder when 1870 is divided by t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n - 2*c + 25, -4*c + 80 = 4*n. Suppose t + 4*t = n. Solve 2*o + 15 = -2*o + t*w, 0 = -2*o - 4*w + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 25*p**2 - 26*p + 48. Let n be m(24). Solve 5*c + 7 = 4*l + 32, -l + c - 5 = n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-6) - (-176011)\/33.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*z**3 - 35*z**3 + 65*z**3 + (-7*z + z + 10*z)*(z**2 + 2*z**2 - 4*z**2).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 12704.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 23*m + 95. Let v be l(-4). Suppose -4*a - v*f + 4256 = 0, 5*f - 1841 = 4*a - 6129. List the prime factors of a.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 86. Let h = y + 65. Let p = h - 20.000059. Round p to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 362 = -250. What is the remainder when j is divided by 4*((-11)\/(-2) + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 40 + 34 - 11 = 22 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:02 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 + 14*g\/13 - 12\/13.\nAnswer: -2*(g - 6)*(g - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 4*z + 7. Let y be w(5). Let k(f) = -f**2 - f**y + 3*f - f + 2*f**3 + 3 - 4*f**3. Let q(s) = s**2 - s - 1. Give k(t) + 2*q(t).\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -196*l**2. Let x(o) = 21*o - 18*o - 2*o + 12*o + 2*o**2. Give x(t(g)).\nAnswer: 76832*g**4 - 2548*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*x - x - 1, -5*m = -4*x + 5. Suppose m = 2*g - 1, 0 = -2*n + 5*g + 596. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 3. Let d be x(-5). Let v = 18 - -27. Suppose -d*i - i = -v. Solve 0 = -t + 3, -3*h = 3*t - i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159046 is divided by 180?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*l - 2, l - 12*l - 90*f - 85 = -19*l + 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h**2 + 0*h)*(3 - 2*h - 3) + h**3 - 7*h**3 + 0*h**3 + 5*h**3 - 5*h**3 - 2*h**3 + (-5*h + 3*h + 0*h)*(-3 + h**2 + 3) - h**3 + 3*h**3 - 3*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.027297392 - -0.0273. Round x to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/15*g**5 + 2\/3*g**3 - 2*g**2 + 0 + 0*g + 1\/3*g**4. Let m(z) = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172044 divided by 1062.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/24)\/(6\/16). Suppose 3332 = -m*d + 16274. Is d\/(-6)*(8\/6 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and -39\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21294, 1, -14 in decreasing order.\nAnswer: 1, -14, -21294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-6) - (-1)\/(-3). Let j(o) = -o**2 - 7*o - 6. Let k be j(l). Calculate the lowest common multiple of 20 and 25 - (1 + (k - 2)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1152070 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*q + 8*q - 4*k, -q + 2*k = 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1112*x**2. Let m(y) = y**2. What is m(u(j))?\nAnswer: 1236544*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -216.0014475 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 549 = -2*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*n = -8676, -4*n = -4*l + 10939 + 23805. List the prime factors of l.\nAnswer: 3, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 0. Let d = -2.6 - q. Which is the second biggest value? (a) -4\/7 (b) -4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243825?\nAnswer: 3, 5, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -c69 (base 13) in base 15?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -8 - (10 + (-14 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2332, -18665, -62996, -149323, -291644, -503957, -800260?\nAnswer: -1194551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 808 + -796. Suppose d - 14596 = z, -4*z - x = 8. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 - 5023*t**2\/7 + t\/7 + 5023\/7.\nAnswer: -(t - 1)*(t + 1)*(t + 5023)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + -102 + -2 + -16 - -104?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7 (b) -0.2 (c) 3 (d) 849 (e) 0.1 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 5:57 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1344, -1246, -1148, -1050, -952, -854?\n\"Answer: 98*u - 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8712 and 30?\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637) + (-2 + sqrt(637) + sqrt(637) + 5 - sqrt(637)) + sqrt(637) + 2*sqrt(637) + -2 + sqrt(637))**2.\nAnswer: 98*sqrt(13) + 31214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u. Let q(k) = 45*k + 21. Let i(j) = -22*j - 12. Let c(a) = 7*i(a) + 4*q(a). Determine c(d(z)).\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from jzrjgz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((1 - 3) + 0). Suppose 3 = n*f - 9. Suppose -f*l + l + 27 = 0. What is the greatest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b**2 + 7. Suppose 0*k - 10 = 2*k. Let c(i) = -10*i**2 - 8. Let l(z) = k*w(z) - 4*c(z). Differentiate l(j) wrt j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1800 and 19214820.\nAnswer: 192148200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -18574054?\nAnswer: -18574057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 38?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -61, -133, -233, -361, -517?\n\"Answer: -14*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 3, 154, -2\/9, 1, -3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.7388 decades in years?\nAnswer: 4267.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -87.\nAnswer: -62\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l, -7*p + 8*p - 12 = 2*l. Suppose 0 = -0*v + p*v - 234. Let a(h) = 4*h**3 - h**2 - 2*h - 4. Calculate the remainder when a(3) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 227*r - 12031. Let m be y(53). Suppose -b + 0*b + 4 = 0. Solve m = -b*u + 11 - 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 13}. What is prob of picking 3 y?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5891739 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddxddddddxdddddd. Give prob of picking 3 d.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 283589*o - 68. Let t be u(-8). Let d = t + -2099220. Round d to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o**4\/7 - 4512*o**3\/7 - 27414*o**2\/7 + 30794*o\/7 - 1140 = 0. Calculate o.\nAnswer: -7, 1\/2, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63\/2 - 30. Let g be 5\/330*9 + 1\/(-2). Sort g, z, -2\/3 in decreasing order.\nAnswer: z, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(468) + sqrt(468) + (sqrt(468) - (1*sqrt(468) + 5)))**2.\nAnswer: 72*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 0*r)*(-3455 + 626 - 23*r - 58 + 21*r).\nAnswer: -4*r**2 - 5774*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 1256754*b.\nAnswer: 3*b*(b + 837836)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/2791899 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 513 + -103. Let i = z + -407. Let r = 1 - 1. Sort -4, i, 2, r.\nAnswer: -4, r, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 27*l - 59 - 17 = -7*l, -3*a + 4*l = -26 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*i**2*u*v**4 - 3213*i**2*u - 29*i*u*v**3 - 2*i*u*v**2 - 5*u*v**3 wrt v?\nAnswer: -672*i**2*u*v - 174*i*u - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 18*k**2\/7 - 52*k\/7 = 0.\nAnswer: 0, 26\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 4\/3 (c) 3.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/1001 - (-3)\/21. Which is the nearest to 0.1? (a) 4\/5 (b) 11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/7 + 16*t**3\/21 + 2*t**2\/7 - 16*t\/7 + 1114. Factor d(u).\nAnswer: -4*(u - 4)*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6875 times -1445.2?\nAnswer: -9935750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101574778?\nAnswer: 2, 3, 9293, 37691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 13 - 4*w**3 + 7970*w - 3 - 8001*w in the form j + s*w**3 + t*w**2 + u*w and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*t = 4*g + 19, -5*t - 16 = 3*g. Suppose u - p = g*p + 153, 4*p = -5*u + 693. Is (1 - 1) + u*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2452, -2732, -2998, -3244, -3464, -3652?\nAnswer: -3802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3010761 kilometers in millimeters?\nAnswer: 301076.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10395 and 92400.\nAnswer: 831600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - 4.4. Let r = -17 + 12. Let g = 5 + r. What is the biggest value in w, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b**(2\/7)*b*b)**(1\/9)*(b**(1\/4))**47 assuming b is positive.\nAnswer: b**(3137\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -2158?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 343 - 138 = -257 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181558.\nAnswer: 2, 13, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -150. Which is the second biggest value? (a) 0 (b) w (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(200) - sqrt(200))**2 + -2 - ((-1 + sqrt(2))*-6 - (sqrt(40)\/sqrt(5) - sqrt(8))).\nAnswer: 6*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5*(-2)\/(-4))\/((-1)\/2). Suppose 5 + 20 = 5*m. Solve -n + 5*v - 19 = 0, 3 = -p*n - 3*v + m*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. What is the second derivative of -4*s**u - s + 5 + 4*s - 5 wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 873 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*l**3*m**3 - 7*j**3*l*m - 3*j**2*l**2*m**3 - 44217*l**3*m**3 + 70*l**2 wrt l?\nAnswer: 12*j**3*m**3 - 265302*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -242, 241, 722, 1201?\nAnswer: 1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43\/3*v**2 - 32\/3 + 26*v - v**3.\nAnswer: -(v - 1)*(v + 16)*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3*f**2 - 2*f + 62*f**2 + 4*f.\nAnswer: 59*f**2 + 2*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.7, 3, 2590, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9305948.237 rounded to the nearest one hundred?\nAnswer: 9305900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33000414 (base 5) to base 11\nAnswer: 182431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -316882104.13 - 16.27?\nAnswer: -316882120.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 101 (b) 5 (c) -48 (d) -16\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(7 + 22\/(-3)) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 167, 374, 673, 1070, 1571, 2182, 2909?\n\"Answer: x**3 + 37*x**2 + 3*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7198770 divided by -10433.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 17 - 2 = 4*i, q + 17 = -2*i. Let s(z) = z**3 - 4*z. Let d(h) = -4*h**3 + 21*h. Calculate i*s(k) - 2*d(k).\nAnswer: -3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -197\/21 > -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -3, -16, -37, -66, -103?\n\"Answer: -4*g**2 + 7*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*o + 20. Let a = o - 11. Calculate the lowest common multiple of 11 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.16 - 0.16. Let m = -59\/3 + 20. Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -167. Let i = b - 110. Suppose 0 = -0*u - 2*u + i. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7623) + 1)**2*-1 - -2*(-1 + sqrt(63) + -1 - -5*sqrt(252))**2.\nAnswer: -330*sqrt(7) + 7634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12526 is divided by 330.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*n - 15. Let u be 5\/(-5) + 0\/(n + 1). Let z be (u + 3\/6)\/(-4*1). What is the third biggest value in z, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3269253, 6538508, 9807763?\nAnswer: 13077018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 11*w**2 + 16*w - 18. Let o be v(12). Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2. Let t(b) be the third derivative of 727*b**5\/60 - 2*b**2 - 1602. Give t(z(r)).\nAnswer: 6543*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2261421*i**2 - 23064743*i wrt i.\nAnswer: -4522842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 292696993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 + 258*b**4 - 200*b**3 - 14650*b**2 + 201*b + 14392 = 0. What is b?\nAnswer: -7, -1, 1, 8, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g - 7. Let x(l) = 0*l + 0*l + l + 1. Let a be -1*((-3)\/(-12) + 1\/(-4)). Suppose a = -6*f - 13 - 17. Give f*x(d) - p(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416324*m - 11895 = 416629*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 822 = 3*h - 234, 0 = 2*u - h - 2112. Suppose 5*m - 29*m + u = 0. Calculate the lowest common multiple of 20 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -36. Find the third derivative of 39*d**5 + 23*d**2 + 17*d**5 - 21*d**x wrt d.\nAnswer: 2100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 32, -2\/7, -25, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d + 2. Let a(i) = 7*i - 62. Let g(z) = 12*z**2 - 2*z. Let p be g(1). Let v be a(p). Let f(s) = -9*s - 1. What is v*f(l) + 5*w(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15663 or -15665?\nAnswer: -15665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -9)*((-4)\/((-36)\/(-21)) - -2). Which is the closest to q? (a) 1\/5 (b) -33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 32. Suppose 4*v - p = 11. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1215 - -1234526?\nAnswer: 1236044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - 76c3?\nAnswer: -76eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 997898959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = -106*u + 103*u, -5*u - 10 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2 + 1. Let x be p\/4 - 316\/(-16). Suppose 0 = -3*w + 97 + x. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 6:53 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 15) to base 13\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 21. Suppose j*p - 498 = -p. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 766.5006 nanometers?\nAnswer: 0.7665006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -586 and -0.1?\nAnswer: 58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 9. Let l be k(6). Let g(x) = -x**3 - x**2 + 3*x + 4. What is the remainder when g(-4) is divided by -3 + (-42)\/(-3) + l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -568*r*t**4 - 12*r*t**3 - 4*r*t**2 + 2*r*t + 2*r + 4*t**4 + 4*t**3 + 5511*t**2 wrt t?\nAnswer: -13632*r*t - 72*r + 96*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w*w*w**(-1\/4)\/w*w*w*w)\/(w**4\/(w*(w*w\/((w\/w**(1\/3)*w)\/w))\/w*w)) assuming w is positive.\nAnswer: w**(121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7739 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 133406?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {d: 1, a: 1, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (7 - 0)) + (-33 - (30 - 34))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83664 = -73*n + 80087 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 80579*h - 80575*h + 3*p, 0 = h - 5*p + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 43. Suppose -s = -4*s + v. Suppose 0 = -2*k + s*k - 48. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-10 + 4 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 513 = 1995. Suppose -4*b + 1740 = -r. Suppose 16*k = 7*k + b. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.153 - 0.153. Is c smaller than 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = a, h - 23 = -5*a + 24. Solve x = 3*q - a - 6, 3*x + 29 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**14*g)\/g**(2\/13))\/(g*g*g**(1\/6)*g)**(-2\/27))**3 assuming g is positive.\nAnswer: g**(16933\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 40*c + 61. Determine f(-6).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4*s*u + 9*j**4*s - j**4*u - 2*j**2*s*u - j**2*s + 6*j**2*u - 2*s wrt j.\nAnswer: -24*j*s*u + 216*j*s - 24*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eefb when four letters picked without replacement from {b: 4, f: 5, e: 5}?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 2*f**5 - 2*f**5 + (-5*f**2 + 3*f**2 - 2*f**2)*(5*f - 3*f**3 - 5*f).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/(241\/1928). Are 26 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -836721197*v**3 + 387320652*v wrt v?\nAnswer: -5020327182*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17844 - -17861. Which is the closest to x? (a) 3 (b) 4 (c) 0.3 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-4 - 8) + 2 + 0. Suppose s*u = 4*w - 118 + 1293, 5*w = -25. List the prime factors of u.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 1. Let a = 6 - 7. Let u(z) = -9*z**2 + 6*z - 9. Let q(p) = a*u(p) - 6*o(p). Factor q(c).\nAnswer: 3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1682 - -1677. Put f, 24, 2, 0 in ascending order.\nAnswer: f, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/(-20)*4*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-48)*g**5*g*g**(-7)*g*(g\/g**0)\/(g*g*g**(-4\/5)*g)*g**(-2\/3)*g\/(g**(-1)\/g*g) assuming g is positive.\nAnswer: g**(-286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 5, -233 in decreasing order.\nAnswer: 6, 5, -3, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -14*u**2 - 2*u + 4. Let n(d) be the third derivative of 9*d**5\/20 + d**4\/6 - 7*d**3\/6 - 3*d**2 + 23. Calculate 4*n(k) + 7*q(k).\nAnswer: 10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 39554*w + 4039710.\nAnswer: -(w - 79210)*(w + 102)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/73)\/(j*j*j\/j**(2\/25)) assuming j is positive.\nAnswer: j**(-5279\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*c - 7 = 0, -3*c = -0 - 15. What is the third derivative of q**6 + q**6 + 0*q**j + q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -111?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-21 - 1) + -6 - (-21 + 23 + -7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3112410411 (base 5) to base 7\nAnswer: -105111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 4*j**3 + 5*j**4 - j - 279*j**2 + 281*j**2 + 1 as u*j**2 + l*j + m*j**4 + h + w*j**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21952.3 + -21952. What is the third biggest value in n, -396.2, 0.2?\nAnswer: -396.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 434\/5 (b) 0.02 (c) -5 (d) -10652\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (13 - (25 + -12)) - -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*f**4 - 13*f**3 - 10236*f wrt f.\nAnswer: -936*f**2 - 78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3))**26*v\/(v\/(v\/(v\/((v**(-5)*v*v)\/v))))*v**(-7)*((v*v\/(((v*v**(1\/3))\/v)\/v))\/v**(4\/5))**(-1\/55) assuming v is positive.\nAnswer: v**(-7801\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.53365, 18, 4, 2\/17 in decreasing order.\nAnswer: 18, 4, 2\/17, -1.53365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3, -1\/3, -0.1, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 984.251 + -971.1. Round z to one decimal place.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*u, -u - 3*j + 20 = j. Suppose 0*i - u*i + 172 = 0. Calculate the remainder when i is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 9. Let w = -14 + 16. Suppose 27 = w*y + y. Calculate the smallest common multiple of y and k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 1\/2*d**4 + 133\/3*d**3 + 0*d**2 - 18 + 0*d. What is the third derivative of l(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let t(g) = 95*g**2. Determine t(y(q)).\nAnswer: 95*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 4*z**2 + z**2)*(-3*z - z + 2*z + (3 - 3 - 2*z)*(2 - 4 + 4)) - z**2 + z**2 - 7*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240*n - 45*n + 35*n to w*n + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 26*o = 15*o - 127, -8 = -2*o + 2*o - 4*o for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 3, z: 2, k: 2, g: 5, f: 3}. What is prob of sequence kq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 9, x: 1, k: 1, i: 2, g: 3}. What is prob of sequence xti?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 3*r\/2 + 1.\nAnswer: (r - 2)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 - 0.343. Let n = f - 4.037. Suppose 0 = -l + 4*u + 1, -2 = -3*l + l + 5*u. Which is the biggest value? (a) n (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 11*u**2 + 3*u + 12. Let r be l(5). Let o = -29 + r. Let d = 29 + o. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1 (c) 32 (d) 1\/19 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -56113144 (base 8) to base 10\nAnswer: -12097124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 146 = -140 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7645\/4 or 1910?\nAnswer: 1910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 0.31 (c) -347 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.918, 2\/11, 5, 0.5 in ascending order.\nAnswer: -4.918, 2\/11, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t - 105*t + 5*t + 11*t.\nAnswer: -180*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 350, -4, 1.\nAnswer: -4, 1, 17, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/9 (b) 0.4 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 473947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 38 = 11. Suppose -6*z + 216 = i*z. What is the remainder when ((-51)\/2)\/(4*(-3)\/z) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -11*r + 7*r + 1164, 291 = r - 2*q. Let -135\/2*n**3 + r*n**2 + 12 - 243\/2*n**4 - 114*n = 0. What is n?\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqgg when four letters picked without replacement from yqzggyzzzzzg?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -11*q + 20872 - 21192, 5*q = t - 152 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(1\/26)*g*g**(1\/4)*g\/(g**6*g)*g*g)\/(g\/g**(-1\/3)*g*((g*(g\/g**(-2\/21)*g)\/g*g)\/g*g)\/g)**(-22\/3) assuming g is positive.\nAnswer: g**(162389\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -137. Is -59*1*(-13 + t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925773?\nAnswer: 3, 23, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**2 - 27*q + 148. What is s(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 1591304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-6 + 4 + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 671*x**3 + 2*x**2 + 3*x - 3. Is y(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 - 3?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/60)\/(1*(-8)\/120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26841018 is divided by 294.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14544698 - -3?\nAnswer: -14544695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 3*u - u**2 - 2*u**2 + 4*u**2. Is k(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11258597 - -6788597. Round y to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n. Let l(u) = u**2 + 5*u. Let q(y) = y**2 - 5*y + 12. Let r be q(3). Let i(j) = -j**2 - 6*j. Let k(z) = r*l(z) + 5*i(z). What is k(d(s))?\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 19, 17, 15, 13, 11?\n\"Answer: -2*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2891*v**5 - v**3 + 2*v**2 + 8631.\nAnswer: 173460*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, z: 1, g: 1, f: 2, j: 1}. Give prob of sequence gn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*r - 6*u + 20, 2*u + 8 = 0. Suppose 0 = t - 6*b + b - r, 4*t = 4*b + 32. Let j = 7256 - 7248. Calculate the highest common factor of j and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555 (base 15) to base 13\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(20)\/sqrt(4))*-2)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101001000000 (base 2) to base 15\nAnswer: -b9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.31693 centuries in millennia?\nAnswer: 2.231693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d*d**(-1\/5)*d)\/d)\/d**(-3\/13))**(-8\/7)\/((d\/(d**0*d)*d*d*d*d*d**(3\/2))\/(d*d\/d**(1\/5)*d**8)) assuming d is positive.\nAnswer: d**(761\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8640)\/1944 - (-178)\/36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/9 - 92*n**3\/3 - 4874*n**2\/9 + 106904*n\/3 - 2700488\/9.\nAnswer: -2*(n - 14)**2*(n + 83)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2 - -1) + -4 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001010010010111 (base 2) to base 3.\nAnswer: -10121010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01429886 to 4 decimal places.\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 5*p**2 + 5*p**2 + p**5 + p**5 + 0*p**5 + 0*p**5 + 5*p**5 - 4*p**5 + (p**2 - 4*p + 4*p)*(0*p**3 + 5*p**3 - 3*p**3) + p**5 + 3 - 3.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 74*q - 3324. Give v(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -6.92. Let y = 6.999994 - r. Round y to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1603*s**3*t + s**2*t**2 + s**2*t + 63*s*t**2 + 16*s*t - 7*t**2 wrt s?\nAnswer: -9618*s*t + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*k - 6 = 0, -5*v + 2 = -2*k - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -132 - (49 + -115 + -35)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Let k(t) = t**2 + t - 3. Let o be k(q). Is 11 a factor of 7\/((-21)\/o) + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*8\/(-320))\/((-32)\/40*3).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 11748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5755 - -0.01.\nAnswer: 5755.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 4*r. What is the third derivative of 2*j**5 + 6*j**2 + r - 3*j**2 + 0 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = -192*n - 4945. Let s(u) = -u**2 + u + 1. Let p(a) = -10*a**2 + 12*a + 11. Calculate n*s(g) + 2*p(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22*w + 134. Let o be b(6). What is the hundreds digit of 364\/o + 0\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-21) - 3) + 12\/42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.288 times -0.2?\nAnswer: -0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21334\/(-4))\/(2\/4). Let q = 18175 + u. Suppose -2*p - q = -m, 5*m + 8454 = -2*p + 45946. What is m rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30267.25kg in nanograms?\nAnswer: 30267250000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12348 + 12366 = -3*z + 3*c, -2*c + 12 = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 280\/(-12). Let o = -13 + l. Suppose 0 = -2*g + g + o. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let k = -20 + 20. Suppose -m + k*z + 6 = 4*z, 2*m = 4*z. Let v(n) = 5*n**2 + 2 - 2*n**2 - n**m + 18. Calculate v(q(b)).\nAnswer: 2*b**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -66*p. Let d(k) = 3*k**2. Determine u(d(o)).\nAnswer: -198*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00715668 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/16975?\nAnswer: -2\/16975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 6*d**2 - 4*d + 7. Let o be s(-5). Suppose 4*c - 8 = c + b, -o*b = 4. Suppose 4*n - c*n + 112000 = 0. Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0 - 5) + 1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80590 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208148134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45 - -2)\/1 - 2. Let n = 11 - 41. Let d = g + n. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 25*a**2 + 6*a + 6. Let f(o) = 21*o**2 + 5*o + 5. Let g(u) = 5*b(u) - 6*f(u). Let r(v) = 103*v + 1. Calculate r(g(t)).\nAnswer: -103*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 13. Let m be b(11). Suppose l + 33 = m*q, -3*q = 2*q + 5*l - 60. Solve -j - 6 = 2*t, -t - 5*j - q = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m - 28*m - 3*m**4 + m**2 + m**3 + 0*m + 7 - 5 + 7*m to the form j*m**2 + y*m**3 + i + s*m + t*m**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45665, -182709, -411129, -730925?\n\"Answer: -45688*w**2 + 20*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -916, -1032, -1148, -1264?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3652.82 + 3653. Which is smaller: 74 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 at most as big as -637\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*t**2 + (-2*t + 0*t + t)*(-7 + 7 + 3*t) + 27*t**2 + 11*t - 11*t + 2*t**2 - 2*t**2 + t**2.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 2*g - 478, 784 = 5*a + 3*g. What are the prime factors of a?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 10*s + 3. Let z be t(7). Let u be (13 - 10)*(-16)\/z. Which is the second smallest value? (a) -0.5 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3792\/8848 + 177\/(-21))*(-7)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + 2*z + 1. Let b be g(-2). Let c = b - 1. Calculate the highest common divisor of c and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52828512 and 5434.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 357?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = 5*w - 64. Calculate the lowest common multiple of w and 326.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 8. Let b(n) = 4*n + 16. Calculate 2*b(s) + 10*l(s).\nAnswer: -2*s + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603 divided by 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, p: 1, u: 3, k: 2}. What is prob of sequence ekku?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -18. Which is the closest to 0.2? (a) -2 (b) q (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 68*i**2 - 251*i - 284. Determine v(64).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 715806 and 24453.\nAnswer: 7873866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, c: 4, p: 3}. Give prob of picking 2 c and 2 i.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 12. Suppose 0 = 4*i - i - 2*w - 96, -4*w = -j*i + 124. Does 11 divide (6 + 0)\/(i\/187)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12234211 + -10?\nAnswer: -12234221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - 55 - ((-7 - 1) + 0) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 51. Let n be t(-8). Let s(o) = -o**3 - 18*o**2 + 10*o + 25. Is s(n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*u + 363 = -93*u. Let x = -119 + u. Solve -2*i - 6 + x = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 7*z - 15*z. Suppose z*k + c - 18 = 0, 3*c - c = -k + 11. Let o(h) = 4*h**3 - h**2. Let w be o(1). Put k, w, 0 in descending order.\nAnswer: k, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 915.8 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*n = -19*n - 1952. Let f be (-4)\/(4\/(-2) - 0). What is the greatest common divisor of n and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1055 + -1.8945. Which is the fourth biggest value? (a) -1 (b) 20 (c) n (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 3.06. Let a = -3.5 + x. Let c = -0.07 + 0.37. Put 5, c, a in decreasing order.\nAnswer: 5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.9569522 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.5 (c) 0.015 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 243, 345, 457, 585, 735, 913?\n\"Answer: l**3 - l**2 + 98*l + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6135*f**3 + 110430*f**2 + 5*f + 81. Determine s(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 43. Which is the nearest to -2\/7? (a) -0.9 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6951b + -67?\nAnswer: 69474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 18*o**2 - 216.\nAnswer: -2*(o - 6)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180035114 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-4)\/j*((j\/(j*j\/(j**(-1)*j)))\/j)**(-20))\/((j**0)**(-3\/5))**(10\/9) assuming j is positive.\nAnswer: j**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 414*p**2 + 955*p**2.\nAnswer: 1374*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wro when three letters picked without replacement from woara?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*r - c, c - 20 = 5*r - 4*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/4 (b) 360 (c) -2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/21 + (-12)\/42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-33) - (-508)\/66*(-27)\/(-18)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 58. Suppose n*s - 420 = 15*s. Factor -582 + 519*z - 790 - s*z**2 + 4*z**3 + 69*z.\nAnswer: 4*(z - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 1. Let w = 17785 + -17786. Let r(t) = t**2. What is w*g(m) + 6*r(m)?\nAnswer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*g**2 + 1 + 2 + 224*g**2 - 3.\nAnswer: 794*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -88.22. Let b = i + 0.72. Let d = 1.06 + b. What is the second biggest value in -0.4, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/3)\/(-5))\/(13\/13650*20)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1223 + 1223. Solve 5*x = -o - 29, -9 = 5*x - 4*o - b*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 31, 22, 13, 4, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299777030.\nAnswer: 2, 5, 7, 229, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 + 8*n - 5. Let a be r(7). Suppose -99 = a*k - 5*k. Let j = k + -14. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 + 5*l**2 + 187*l\/5 + 363\/5 = 0 for l.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**3 - y**2 + y + 10. Suppose 2*n = -16 + 24. What is the tens digit of t(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 75.01. Let h = 0.71 - x. Let l = -31 + 35. What is the third smallest value in 0.4, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663366 divided by -627?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.36, 0.3, 0.2, 0.5.\nAnswer: -0.1, 0.2, 0.3, 0.36, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:27 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {s: 2, w: 1, r: 1, i: 2, j: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + sqrt(9)\/sqrt(3) + 2 - -5*sqrt(6)\/sqrt(2)*-1)*-5*-1)**2.\nAnswer: -4000*sqrt(3) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*((-9)\/(-6) - 1). Let k be (-20)\/(-12)*z\/(-30). Let h = -25 - -77\/3. Which is the third biggest value? (a) k (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -468, -917, -1370, -1827, -2288, -2753, -3222?\n\"Answer: -2*m**2 - 443*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 15)*68\/816*-12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 3*w - 5. Calculate m(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvv when four letters picked without replacement from {y: 3, w: 1, v: 6, j: 3, s: 3}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/5 (b) -5 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -5 - (-15 - (19 - (-9 - -9)))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/10931629 or -0.8?\nAnswer: 5\/10931629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1. Let x(b) = 2*b - 2. Let d(n) = 8*t(n) - x(n). Let k be d(-11). Solve 7*h = 3*h - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(2*f**2 + 4*f**2 - 4*f**2) + (f + f - f)*(-5*f - f + 3*f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5989636*p*y**4 - 3*p*y**3 + 2*p*y - 63197*p + 2*y wrt y?\nAnswer: -71875632*p*y**2 - 18*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 67731?\nAnswer: 67722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48))**2 + 0 + sqrt(192) + 2 + sqrt(192).\nAnswer: 16*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8996, -8911, -8828, -8747, -8668?\nAnswer: -8591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-43)\/(-7))*(-3 - 1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80)*-2*4 + sqrt(80)))\/((sqrt(80)*-2)\/sqrt(8) - (sqrt(1210)*2 + sqrt(10))).\nAnswer: -16*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.448273 seconds to minutes.\nAnswer: 0.49080455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 + 4*g**3 - 4*g**3)*(-4*g - 4 + 4) + (5*g**4 + g**4 - 3*g**4)*(2 - 3 + 3) as x*g**3 + z*g**4 + t + i*g**2 + p*g and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/100 and 21\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -33. Suppose 2*y = z + 36, -23 = n*y - 4*z - 107. What is the smallest common multiple of (-38)\/(-4) + 2\/4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24487 is divided by 8032.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20771888 divided by -1298243.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240137?\nAnswer: 41, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z - 4 - 8 + 12. Let m(c) = -8*c**2 - 48*c + 24. Let g(b) = b**2 + 4*b - 2. Let q(o) = -12*g(o) - m(o). Give q(n(i)).\nAnswer: -1600*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*j - 2739 = -16048 - 21214 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s. Let u be (-22)\/(-6) + 4\/(-6). Solve 5*m - 4*m - u = s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/52 and 3\/14108.\nAnswer: 183404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -685, -1368, -2053, -2740, -3429?\n\"Answer: -o**2 - 680*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v + 16. Suppose -5*x + 40 = 5*t, v*t + 0 + 4 = 5*x. Let r(h) = -h**3 + 6*h**2 - 3*h. What is the units digit of r(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5 + 15. Suppose -h*r + 183 + 122 = 0. Suppose -4*m = -9*m - 5*o + 230, -m + 2*o = -r. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -80*f + 81*f + 2*c, 41 = 2*f - c. Calculate the greatest common factor of f and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:24 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005193396 rounded to six decimal places?\nAnswer: 0.005193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-10)*(-9 + 460\/16) and -31\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 134222957 and 0.1.\nAnswer: 134222957.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794216071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4888\/(-1196) - (-2)\/23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69510 and 173775.\nAnswer: 347550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (132\/64)\/((-2)\/(-6)) and -29\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488021 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: What is the remainder when 143224 is divided by 35763?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 3. What is w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 365 = q + 5*v, 4*v = 0. What are the prime factors of q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 times 0.28492?\nAnswer: -0.01794996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 5*x**2 + 5*x**2 + (-x + 0*x - 2*x)*(2*x - 6*x - 2*x) to the form z + f*x + d*x**2 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(63\/2))\/(8\/(-14)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4199979*k**2 - 3*k + 2. Let o be h(1). Let f be o\/(-70) + 0 + (-4)\/(-14). What is f rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 617, 1286, 1941, 2582, 3209, 3822, 4421?\n\"Answer: -7*d**2 + 690*d - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = m + 3*z, 3 - 1117 = -4*m - 2*z. Let h(v) = 4*v + 0*v**2 - m*v**3 + 277*v**3 - 2*v**2 - 5. Let w be h(2). Solve -2 = q + w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/861, -437, -1\/6?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 994*a**2. Let x(h) = -48*h**2. Give x(n(g)).\nAnswer: -47425728*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - h - 97, 19*h - 15 = 14*h. What is the remainder when 152 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 - 49332572*s**2 + 98665156*s - 49332580 = 0. What is s?\nAnswer: -12333145, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107654 + 319380. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1073806, -2147619, -3221432, -4295245?\nAnswer: -5369058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 + 0 + 2*g**3 + 3 + g**3 - 4 - 2*g to v + f*g**3 + r*g**2 + z*g + x*g**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:38 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (6 - (2 - (-1 + -3 + 6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*j + 109*j + 5 - 7 + 5.\nAnswer: -11*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 10000*t - 67923805 = 0.\nAnswer: -2819, 4819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 - 18*f - 2. Let j(r) = 13*r**2 - 36*r - 5. What is 4*j(d) - 9*z(d)?\nAnswer: -2*d**2 + 18*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -709*i - 276. Let y(m) = -711*m - 282. Let r(c) = 5*h(c) - 6*y(c). Find the first derivative of r(t) wrt t.\nAnswer: 721","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(1375)\/sqrt(11)) + 1*sqrt(27) + 4.\nAnswer: 4 + 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 + 15*d**3 + 17*d**3 - 10*d**3.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27731\/39622545 - -4\/8055. Calculate the common denominator of x and -83\/10.\nAnswer: 49190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533057, -533061, -533067, -533075, -533085, -533097?\nAnswer: -533111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 + j + 10. Let l be a(-8). Let n = 0 + 0. Let q = l - n. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2199 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -3*a. Let r be (-8 + 1)*(3 - 20\/a). Suppose -r*y + 605 = -2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1761*x**2 - 1665?\nAnswer: 3522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 15*w**4 - 10*w**3 + 10*w**2 + 15*w + 5.\nAnswer: -5*(w - 1)*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5760 - -0.18\nAnswer: -5759.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4\/2 - 148125*f**3\/2 + 1829380311*f**2\/2 - 23752476099*f\/2 - 27411829245 = 0.\nAnswer: -2, 15, 24681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*c**4 + 3 + 4*c**2 - 1 - 39*c**4 - 2*c as n + k*c**2 + q*c**3 + w*c**4 + o*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 - u - 9. Let q be a(0). Let m(l) = -9*l - 4. Let t be m(q). Let s = -52 + t. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2 - 27*f + 137. What is the units digit of q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -0.3386842\nAnswer: -0.0613158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345 and 920.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 11) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(891))*6 - -6*(sqrt(891) + sqrt(891)*-3*-5).\nAnswer: 1134*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*v + 2*l + 27, 4*v - 3*l = 33. Let b(p) = -p**3 + 7*p**2 - 4*p + 2. What is the units digit of b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24265 and -0.31325.\nAnswer: -24265.31325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*k - 51 + 15, 3*s + 2*k + 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 - 2*h - 3. Let k(n) = -7*n**2 - 3*n - 5. Let p(v) = -3*k(v) + 5*x(v). Factor p(d).\nAnswer: d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9729 + -3104. What is the highest common factor of 125 and x?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/159 (b) 17 (c) 0 (d) 5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(2 - 2 - 2)*(-10 + 10 + 32*l).\nAnswer: -128*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-6) - -2*1. Let l = -0.07 - -0.37. What is the third biggest value in l, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 1090, 3221, 7210, 13675, 23234, 36505, 54106?\nAnswer: 76655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - ((1 - -5) + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 2\/5, 3, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(99) + 1 + sqrt(99) + sqrt(99) + sqrt(99))*1 + 2 + 3*sqrt(99))*1)**2.\nAnswer: 2016*sqrt(11) + 77760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -924587\/1644258 + -28\/10677. Find the common denominator of 45\/154 and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1) + (5 - 5). Let x = -1 + 0.9. Which is the nearest to x? (a) l (b) 3\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.5 - 1.5. Let m = j - -8.99. Do 0 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:46 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v*v*v**(-3\/8)*v)\/(v*(v*v**0)\/v*v\/(v*v**(5\/2))) assuming v is positive.\nAnswer: v**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/17)*y\/(y*y**(4\/9)) assuming y is positive.\nAnswer: y**(-95\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -449 in 0.2, 1\/6, 1, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0451548089 to 6 dps.\nAnswer: -0.045155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 24. Suppose k + 310 = q*t, -5*t - 2*k + 237 = -287. Let f = t + -52. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 3802*y**2 + 3799900*y - 349095000.\nAnswer: (y - 1850)**2*(y - 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 125 - -3716?\nAnswer: 3842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185 and 3330.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6119 + 6119 + 356*b**2.\nAnswer: 356*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*h*s**2 + 5*h + s**3 + 122 wrt s?\nAnswer: -148*h*s + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(153) + 5 - sqrt(85)\/(sqrt(15)\/(sqrt(12) + sqrt(3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.88 - -0.12. Let f = -108.7 - -117. Let z = f - q. What is the second biggest value in z, -2, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.1 - 0.1. Let x = 7 - w. What is the third smallest value in -4, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**2 + 36*t. Let g be m(4). Suppose g = -17*r + 22*r - 40. Solve 4*q = -u - 13, q + 0*q + 5*u + r = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - r**2 + r**2)*(-4*r + r + 2*r) + 24*r**3 - 20*r**3 + 15*r**3 in the form p*r**2 + v*r**3 + i + a*r and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 15*t - 2*t)*(-42 + 17 - 8 - 61)*(19*t**2 - 7*t**2 + 8*t**2) to y*t**3 + w*t + x + o*t**2 and give y.\nAnswer: -28200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (27 - (14 - -6))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1123 - 1479534916.\nAnswer: -1479534917.1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 123216*l - 246428. Calculate h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*s**2 + 12*s - 117*s**3 - 12*s + 55*s**2 wrt s.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16228, 32456, 48684?\n\"Answer: 16228*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, 1 n, and 1 c when four letters picked without replacement from qhggqgcgqhhgnqqnhqhn.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*q = -120*q - 3*s + 57, -5*s = -5*q + 155. Solve 12 = -2*w + 2, 4*j = -2*w - q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.1 minus -2?\nAnswer: 582.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i\/(i\/i**(-1\/5)))\/(i*i**4*i*i**(-3))*(i\/(((i**(-2\/15)\/i)\/i)\/i)*i**(2\/9))**(-1\/22) assuming i is positive.\nAnswer: i**(-3662\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 119*r**3. Let o be m(-1). Let n = o - -128. Let c(z) = -z**2 + 18*z. Let f be c(15). What is the greatest common divisor of f and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13741 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 666\/84 + 6\/84.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*v - 173250 = 27*v. What is the highest common divisor of 126 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 3*o - 3*o - 3*o**3 + (-2 + 2 + 2)*(2*o + 0 + 0)*(o**2 - 15*o**2 - 24*o**2) as j*o + i + a*o**3 + w*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 - 3\/1. Let o(m) = m**2 - m + 5. Let p be o(u). Solve -3*x + 4*l = -0*l + 14, 6 = -p*x - 2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110763*w**3 + 99*w**4 + 212*w + 110762*w**3 - 590*w + 223*w**4 wrt w.\nAnswer: 3864*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/((-20)\/15)*-16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 60557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(6 - (-15)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(1\/3)*f))**(-4\/37)\/((f\/(f\/f**(-1\/3)))\/(f*(((((f*f*f**2)\/f)\/f*f*f)\/f*f)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(485\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = f + 2*b - 97, -2*f - 3*b + 492 = 0. Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:13 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -737, 4, -2, 9 in increasing order.\nAnswer: -737, -70, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -84*s**2 - 37117*s. Let b(f) = -28*f. Determine b(z(k)).\nAnswer: 2352*k**2 + 1039276*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -319d3?\nAnswer: -319d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 3*d**2 + d + 3. What is q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from lhhshxlhhaahxhh.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**0))**29 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 9. Calculate a(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k + 1. Let t(h) = 18*h + 54. Let a(s) = -t(s) + 2*y(s). Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 1. Let w be (-2)\/(1 + 11\/j). Find the second derivative of 9 - 2*t**4 - w + t wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9023\/63 - 4\/18. Round s to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + 7*c**4\/4 + 11*c**3\/4 + 5*c**2\/4.\nAnswer: c**2*(c + 1)**2*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693*-59.3.\nAnswer: 41094.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3939185112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:49 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -6)\/((-3)\/4) - 4. Let j be 9\/(-1) + (i - -13). Let n(v) = -v**3 - 3*v**2 + 3*v - 2. Give n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-6))**(28\/5)\/((p**1)**(5\/7)\/(p\/(p**(-2\/7)*p*p*p))**42) assuming p is positive.\nAnswer: p**(-1369\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-12)\/(-16) - 6\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 3, h: 3, f: 5, d: 1, r: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 330*p**2 - 137*p - 63958. What is v(331)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 2.3. Let z = r - -1.8. Suppose 13*i - 11*i = 5*m + 5, -m - 1 = -5*i. Which is the second smallest value? (a) 4 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 8. Let j = -5 - 1. Let o(a) = 3*a + 3. Let p(z) = -5*z - 4. Let r(u) = -3*o(u) - 2*p(u). Determine j*r(d) - c(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 24*i - 19. Determine p(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f + 213. Let j be i(-34). Suppose -4*k + j*k - 5025 = 0. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41086250 and 6250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221038 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-1))\/(s\/s**(1\/4)))\/(s**(-2\/5)\/((s*s**(1\/2)*s)\/s*s)))**(-1\/3) assuming s is positive.\nAnswer: s**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6*a + 3. Let k be o(6). Suppose 4*p - 16 = -5*f, 5*f - p - 23 = 2*p. Suppose -4447 = -5*u + f*v, -3*v = k + 6. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53294 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-475)\/(-380))\/(2 - 33\/14)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17 = 23. Suppose -6*q - y = -10*q. Suppose -5*n = q*k - 4*n - 3, -4*n = 4*k. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125892000 to the nearest one million.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 8*h - 19. What is j(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/18 - 5*4\/(-90). Is (1\/(o - 1))\/(2\/(-3548)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/2 - (-21)\/2 and ((-8)\/12)\/((-2)\/12*1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 + -0.32\nAnswer: -0.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/3105 - -70381\/3105. Calculate the common denominator of o and (-112)\/336*20\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41931 by 13977.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiliilxa. Give prob of picking 1 a and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 3, v: 1}. Give prob of picking 1 b and 1 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0158082109 - -2.2708424809. Let m = l + -2.255. What is m rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:06 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 172*k**2 + 194*k + 4507. Give p(-173).\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186238 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550714, 550743, 550792, 550861?\nAnswer: 550950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10131 - -4?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19932 - 14341. What are the prime factors of y?\nAnswer: 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*u - 923200*q + 1053893*u with respect to u.\nAnswer: -q + 1053893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s + 67. Let k be q(-5). What is the smallest value in k, -6, 3\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 6*v + 18. Suppose -3*h - 13 = -4. Let l = 17 + h. What is the remainder when j(-7) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35169523 is divided by 225.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 3*b + 23. Let f be i(4). Sort 5, f, 3, -2.\nAnswer: f, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -7*o**3 - 114*o**2 - 137*o - 30 = 0.\nAnswer: -15, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -226 - -500616?\nAnswer: 500370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 540, 35, 10, -4 in descending order.\nAnswer: 540, 35, 10, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:31 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/13? (a) 17 (b) -2 (c) -0.5 (d) 22\/13 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*j + 26 = 0, 0*r - 5*r + 5*j + 115 = 0. Find the third derivative of r*k**4 - 3*k**2 - 7*k**4 - 13*k**4 wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {t: 3, y: 3, o: 3, e: 3, r: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/3 - -1)*-3. Let f be (-4)\/t - (-150)\/4. Calculate the greatest common factor of 95 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110010011100100101 (base 2) in base 5?\nAnswer: -342023344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from mmmmummmmrmqmumfmmm?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858030 + 2*d + 0*d + 858107 + 858098 - 2574235.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 45467.\nAnswer: 454670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 11 + 3)*(3*k**3 - 3*k**3 - k**4 + (-3 + 5 + 3)*(2*k**4 - 5*k**3 + 5*k**3)) as h + b*k**3 + y*k**2 + z*k + o*k**4 and give o.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 5. Let h be o(-3). Suppose 8*x - h = a + 9*x, -8 = -4*a + 4*x. Suppose -5*d + 3*g + 17 = 0, 0*d - 3*d - 2*g - 5 = a. Solve 1 = 2*s - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 4*s + 4*s + (-1 - s + 1)*(s - 3*s + 3*s) - s + s + 2*s**2 + 4*s**2 - 2*s**2 - 3*s**2 - 3*s**2 - 3*s**2 - s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 17*d. Let b(v) be the third derivative of -v**5\/20 - 16*v**2. Determine w(b(k)).\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177079059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from pzzczwc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15806, 44424, 92112, 158864, 244674, 349536, 473444?\n\"Answer: -q**3 + 9541*q**2 + 2*q + 6264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5, 3*y - 3 = -2*u - 2*u. Let h(p) be the first derivative of 1 + 2*p + 0*p**3 + u*p**2 + 1\/4*p**4. What is the derivative of h(m) wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*q - q + 40, -52 = -2*d - 3*q. Suppose -5*i = y - d, -4*i + 40 = i + 5*y. Solve 0 = -0*v - 3*v + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 1356*t - 2148543. Calculate v(-937).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 5, 2, -2, -2\/3007049?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-2) - (-12705)\/66. Which is greater: 191 or v?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -97d32024 - -2?\nAnswer: -97d32022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - (-1 + -2)) + 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Let r = -47639 - -47639. What is the smallest value in q, 1, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-3)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (246\/(-164))\/((-6)\/2*1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100602*g**2 - 202087*g**2 + 101486*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 8*i + 2*v + 8, -4*v = 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -51 - (1 + (-1 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2)*(k + 1 - 1) - 238*k + 5560 - 5560)*(5*k**2 - 2 + 2) + 2*k**3 + 8 - 8 - 7*k in the form f + p*k**2 + q*k**3 + l*k and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-18) - (-255)\/135. Which is bigger: h or 8\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7 + 3. Suppose -n*v - 2 = -3*t, 5*t + 4*v - 5 = 23. Solve -q - q + 6 = 3*k, 0 = -t*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16948, -4 in decreasing order.\nAnswer: 5, -4, -16948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3005.066 - -2899.2. Let t = -106 - w. Round t to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 17 - 16 = 0. Suppose -5*g - 5*d = -315, g - 63 = 6*d - 3*d. What is the remainder when g is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/6 + 2*s**2 + s. Let a be r(0). Let p(x) = a*x - x - x. Let t(m) = -4*m**2. Determine p(t(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = v - 1290. Let z = v - -131. Sort z, -3, -5, 0 in increasing order.\nAnswer: -5, -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*r - 468*r + 20 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -17. Suppose -h + 36 = w + 2*h, -4*w + 3*h = -69. Let r = -14 + w. Solve -3*p = -r + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:52 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 17. What are the prime factors of (-482)\/(-8) + s\/12?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 82 = 22*r + 145 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 10 (c) 1\/6 (d) -2\/17 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4234.117 + 4234. Is p equal to 3\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 14*r**2 - 52*r - 477. Calculate the remainder when y(-11) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -953 - -959. Is o equal to 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9402*b - 253064 = 53847 + 97375 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 12 = -4*r, 9433*z - 1 = 3*r + 9429*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*8*((-20655)\/30)\/81?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1138742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3110 = k, -5*o + 3894 = -4*k + 2*k. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 4*a - 3*a)*(0*a**4 + 0*a**4 + 2*a**4).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) 5 (c) 1\/13 (d) -75013 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 106\/14 + (-126 - -118) - 370\/(-798). What is the biggest value in u, 2\/3, -1\/2, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/5 + 19080074*x\/5 - 7632028 = 0 for x.\nAnswer: 2, 9540035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = 4*l - 5709. Round l to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23722 divided by 409.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4251 = -2*y, 4*y = 27*a - 31*a + 8496. Suppose 0 = -44*c + 47*c - y. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2. Let m(u) = 3*u**2. Let a be (1 - 6)*(0 - 1). Let i be (a\/4)\/((-1)\/(-4))*1. Calculate i*j(o) + 2*m(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**2 + 8*w**2 - 17*w**4 - w**4 + 0*w + 0*w + 2*w**4 - w**4 + w**4 + (-2*w - w + 2*w)*(0*w**3 - w**3 + 0*w**3).\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - -1 - (30 - (-21 - 16 - -59))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.422973 to two decimal places.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -2*h, 0 = z + 7*h - 6*h - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -33*o. What is a(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -4, 0, 16 in descending order.\nAnswer: 16, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3921*y**3 - 5*y**2 + y + 5. Let m be o(-5). Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 52. Let v be l(-17). Solve -8*n - v = 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 171618?\nAnswer: 171615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/20*((-136)\/(-2) - 3). Differentiate -d - 273*q + 273*q - 39*q**4 wrt q.\nAnswer: -156*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 15152.\nAnswer: 106064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 3)*(-3 - -4). Suppose t - 1 - 3 = 0. Suppose h - 7 = -p - t, 2*h + 5*p - 15 = 0. Solve 3 + 5 = 4*w - x, -2*w - g*x + 4 = h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/1300*26)\/((-1)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88359 is divided by 571?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6\/4057, 28, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.896527 millilitres to litres.\nAnswer: 0.003896527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-1)\/(-604))*(-54)\/(-90). Let y = q - 366. Let v = -8 + 3. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) 37\/8 (d) 3 (e) -0.4 (f) 2 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202202 + 211?\nAnswer: -10201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*v - 9. Suppose b - 4*b = -v. Suppose -2*a - b*a + 2750 = 0. What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657 < 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 4569896\/155 - (-8)\/10?\nAnswer: 5, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -506292 at least -506290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a kilometer in meters?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 134*x**3 + 523*x**2 + 390*x.\nAnswer: x*(x + 1)*(x + 3)*(x + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 4*n - 7, 5*x + 3 + 3 = n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-20)\/36)\/(-5)). Let c be (-30)\/o - (-4)\/6. Let b = c + 5. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5988074 divided by 6\nAnswer: -2994037\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2767 - -155. Suppose 2*b - 5317 = -5*u + j, -5*b = -4*u + 6611. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 1170064*w + 1170065.\nAnswer: -(w - 1)*(w + 1170065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, -3, -2\/4971 in descending order.\nAnswer: -2\/4971, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (-17 - 0) + 38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1203\/11 and -108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 3, r: 8, y: 1, n: 1, b: 5}. What is prob of sequence ze?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402816323 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136340 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -719.\nAnswer: -3\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1 - 5)*-1. Suppose i*f - f = 99. Suppose 3*c - 12 = 0, 5*u - f - 15 = 3*c. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3\/7, 5, -3, -0.7.\nAnswer: -15, -3, -0.7, -3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.1, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.195 * 118.17.\nAnswer: -23.04315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17433*a**2*u**3 + 1170*a**2*u**2 - 2*u**3 - 4 wrt u?\nAnswer: -104598*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49431713?\nAnswer: 433, 114161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 5:22 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3)\/k)**(-22) assuming k is positive.\nAnswer: k**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.95 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 9, 39695, -15.\nAnswer: -15, 9, 14, 39695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-37 - (-4 + 6))*-1. Let w be (-4 + u\/9)*6. Suppose -w*o - o - 2*a = 0, 0 = -2*o - 3*a. Put 1, -3, o in descending order.\nAnswer: 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.38. Let m = 0.38 - x. What is the fourth biggest value in 2\/3, -5, m, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -4 - (6 + (-8 - -13) + -18 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*b + 8*b + 45, -2*s + 2*b = -18. Let a(m) = -s*m - 2 + 0 + 11*m + 9. Determine a(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2806 + -2176. Suppose -n + 5*z + 79 + 5 = 0, 5*n - 5*z = 420. Calculate the greatest common divisor of n and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.287 + 363.713. Let p = u + -364.0442. Let r = p - -0.0975. Round r to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 2*u + 2. Let i(t) = t**3 + 4*t**2 + 2*t + 6. Let z be i(-4). Let y be q(z). Let x = y - -7. Solve -5*w + 1 = -x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 319056187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 3*g + 4*n, 3*n = -5*g + 6. Let p = 6 - g. Suppose p*i - 53 = 34. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8216 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-780)\/(-140) - 8\/14. Suppose 5*l - 284 = -0*l - w, 288 = d*l + 2*w. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (44 - 8) + -36\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38643, -38640, -38635, -38628, -38619, -38608, -38595?\nAnswer: -38580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = -2*y. Find the first derivative of -f**4 - 1 - y*f**2 + 4*f**2 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((8 - -2) + (-1 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4 + h**3 - 1\/2*h**2 + 6*h. Let i be v(-7). Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, q: 4, f: 1, a: 1, c: 1, k: 1}. What is prob of sequence ca?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 12389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + c - 395 = 0, -270 = -2*d + 3*c - 83. Calculate the common denominator of d\/70 + (-99)\/160 and 117\/(-20) - 4\/10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 75179 = 2*a, v - 6*a - 15040 = -7*a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2178 + 2178 + m**3 + 0*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305117.4 weeks in microseconds?\nAnswer: 184535003520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 2*v - 5*v)*(-8*v - v - 5*v) + (0 + 0 + 2)*(-2*v + 2*v + v**2) to the form h*v**2 + t*v + w and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.36 - -4506.68538.\nAnswer: 4529.04538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5 - (-5 + 2 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 a when three letters picked without replacement from eaennelenaene?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/5631655 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*j + 5\/3 + 5\/6*j**2.\nAnswer: 5*(j - 2)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 7*h**2 - 21*h - 24. Let r be x(-9). Solve 2*f - 4 - 14 = 2*q, 5*q + r*f + 5 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:39 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 1771360*b + 8856675.\nAnswer: 5*(b + 5)*(b + 354267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -36. Suppose 22 = -3*h + 3*w - 35, -2*h = -4*w + 48. What is the remainder when u is divided by ((-4)\/(-6))\/(h\/(-231))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3736753.\nAnswer: 17, 219809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 81 + 6 = 0. Which is the biggest value? (a) -5 (b) y (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*y + 49 = 0, 7 = 5*y - 3. Let p = 15 + r. Suppose -3*g - p*s + 2193 = 0, -g + 4*g - 2190 = -3*s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1, 6, 0, 547?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*x + 724854 = -63*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5)*-3*3 + sqrt(20)\/sqrt(16) + -5))**2.\nAnswer: 2125*sqrt(5) + 38625\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.052191 + -1.747809. Let g = 1 - 2. Sort g, 1\/5, t in descending order.\nAnswer: 1\/5, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12182, -24453, -36826, -49307, -61902?\n\"Answer: -s**3 - 45*s**2 - 12129*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*c + 5 = -0*c, 3*c - 9 = -5*p. Suppose p*t + 0*t - x = 67, 0 = -5*x + 25. What is the highest common factor of 216 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 + 9*s - 16. What is z(4)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.43 - 37. Let x = -58.57 - n. Let m = 58.067 + x. What is m rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1176)\/20)\/((-20)\/(-600)). Let q = j + 2646. Round q to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:33 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/(-4)) + 15 - 6. Let h(z) = 5*z**3 + 9*z**2 - z + 9. What is the tens digit of h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30\/8537 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*d + 25, -2*c = 2*c - 3*d - 29. Let s(v) = 4*v**2 - 9 - c*v**2 - 3*v + v + 13*v. Calculate the lowest common multiple of s(9) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 78. What is the closest to -36 in z, 0.1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140.8 - 141. Which is the biggest value? (a) w (b) -6\/7 (c) -1.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzzzezzzzzzzzz?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.7, 1, -5, 1\/4, 0.5, 4598 in descending order.\nAnswer: 4598, 3.7, 1, 0.5, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(117)*-4 + sqrt(117))**2 + -5 + 0).\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 243874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = 14*a - 19*a, 2*a = 3*y - 25. Let l(o) = 5*o**2 + 4*o - 9. Let b(s) = -2*s**2 - 2*s + 4. Calculate y*b(q) + 3*l(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Let o = m - 0.4. Let l = 29 + -29.2. Put -0.5, l, o in decreasing order.\nAnswer: l, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.74 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 6*d - 14. Let w be o(-8). Suppose -z + w = -0*z. Find the third derivative of 6*i**2 - 17*i**4 + 4*i**z - 14*i**2 wrt i.\nAnswer: -408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 14*g + 10. What is the remainder when (0 + 2)\/(1047\/174 + -6) is divided by p(-7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {v: 1, e: 2, p: 4, u: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5014, -4635, -4004, -3121, -1986?\n\"Answer: 126*u**2 + u - 5141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-6)\/180)\/((-1)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -939, -0.769, -9 in descending order.\nAnswer: -0.769, -9, -939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 10*u + 3. Let l be p(-10). Let r(k) = 1184*k**3 + 4*k**2 - 2*k + 2. Let g be r(l). What is g rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 561, 850, 1139?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*p - 77*p - 21. Let w be (140\/1750)\/(p\/5). Let j = -4\/3 - -3\/2. What is the closest to w in 0, j, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 6 + 5 + 17*i - 2*i.\nAnswer: 18*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-429)\/(-308) - (2\/(-8))\/(32 + -33)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -421.9366 - -422. Round t to 3 dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1332 divide 160711128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*((sqrt(468) - (sqrt(468) + 4)*3)*-6 + -1))*2*1)**2.\nAnswer: 1458432*sqrt(13) + 10416784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9939323*a**2 + 36723805*a - 3 wrt a.\nAnswer: -19878646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2378, -7, -8 in increasing order.\nAnswer: -2378, -8, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3269 (base 13) to base 3\nAnswer: 100121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 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: Four letters picked without replacement from iirilllpupqu. What is prob of sequence plpl?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 31 + 36 - 96 - 80*r**2.\nAnswer: -80*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8275, -5 in ascending order.\nAnswer: -5, -1, 8275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 60 = -4*g. Suppose 2*i = -3*i + g. Suppose i*l = 3*k - 264, k - 111 + 23 = 4*l. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67469, -67607, -67841, -68171, -68597, -69119?\nAnswer: -69737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209190.019 rounded to the nearest 100?\nAnswer: -1209200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160831 is divided by 621.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 0 + 1 - 2 - 2*p - 2*p + 6*p + (-2*p + 3*p - 3*p)*(-4 - 1 + 3) - p - p + p to the form z*p + m and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 = -28*p + 179 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5409900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 587*k = 211*k + 1464, -3*k + 3 = -3*b - 29 - 4 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**8)\/q*q*q\/(q*q*q**(-4\/7)))**(-3\/16) assuming q is positive.\nAnswer: q**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -37. Suppose -3*t - 5*j = -a - 976, -3*j = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-11 - (-14 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26788 at least -26763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 32. Sort -2\/11, -5\/6, f in ascending order.\nAnswer: f, -5\/6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12880)\/(-1400)*(-130)\/(-416).\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407107, -407077, -407047?\nAnswer: -407017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9177986 kilograms?\nAnswer: 917.7986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*c**2 + 302*c**2 + 174*c**2 as m*c + j + s*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 67 = -4*t - 4*u, 2*u = -4*t - 38. Let j(l) = 2*l + 12. Let h be j(t). What is the tens digit of (43\/5)\/(h\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*n + 892827 + 2413971 = 218*n. Is n a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-30260)\/(-2520) - 12)*-146 and 125\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72200352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 8}. What is prob of sequence sjss?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 245*(-10)\/(-300) - (-5)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/15*(-15)\/(-9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -9. Suppose d = -4*x + 193 + 239. Suppose 7*k = 3*k + x. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - 0\/4. Let w be (1 - 2)\/(m\/(-2)). Solve 3*n + 4*t + 0*t = -1, 2*n + 2*t = -w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -341749, -341765, -341785, -341809, -341837, -341869, -341905?\n\"Answer: -2*x**2 - 10*x - 341737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142120805 to the nearest integer?\nAnswer: 11921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303299617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.02 - 3. Let p = -0.0293 + -2.9507. Let r = i - p. Sort -0.2, 4, r in descending order.\nAnswer: 4, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11488\/24 + 30 - 8\/(-6) and 51?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -9. Let z(b) = -5*b + 55. Let v be z(g). What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (16 - 96) + (0 - -6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.036\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 21*p + 207. Let j be k(-11). Which is bigger: j or 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 + (-2 - -2). Let h = 190\/13 - 18987\/1300. Does h = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -919038120 rounded to the nearest one million?\nAnswer: -919000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10114168737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26198 = -42*z - 24602 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 385*m**2 - 385*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 20*i**2 - 16*i - 16. Let h(j) be the third derivative of j**5\/60 - j**4\/24 - j**3\/6 + 3*j**2. Give -16*h(y) + r(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 18. Let g be l(15). Suppose -g*h - 36 = -4*h. Suppose 0*v + h = 6*v. Calculate the remainder when 14 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*x - 4, -2*k + x + 2*x + 8 = 0. Suppose -2 = d - k. Solve z + d = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68170 is divided by 121.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 16*o - 5. Let k(n) = 3*n**2 - 2*n**2 - 79 + 0*n**2 + 78. Let f(d) = 5*k(d) - s(d). Factor f(b).\nAnswer: 4*b*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s - 67*s = -2954 + 767 + 15757 for s.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952138425 and 525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 19. Let r = j + -21. Let a = -6.99999945 - r. Round a to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c02 (base 14) in base 5?\nAnswer: -222332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 1. Let a(g) = -7*g**2 - 10*g + 5. Let w = 50 + -45. Let y(r) = w*v(r) + a(r). Suppose y(q) = 0. Calculate q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 193600 + 278*t**2 - 1760*t - 545*t**2 + 271*t**2 = 0.\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2, 3 in decreasing order.\nAnswer: 36, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 26. Let w = 2745 - 1833. Suppose 64 = 3*d + 2*q - 470, -4*q = -5*d + w. Calculate the highest common divisor of d and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 633158\/7 + -90451. Let p be (-2 + 1 - -3)\/(-37). Which is the biggest value? (a) 3 (b) -4 (c) p (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/83))*q**(-29))\/(q*(q**(22\/9)*q)\/q*q*q**18) assuming q is positive.\nAnswer: q**(-38447\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhiqqqiqidqqqi. Give prob of sequence qq.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 125 + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 2054.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123226756?\nAnswer: 2, 30806689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8891172 + -148180?\nAnswer: -9039352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1278444, -2556883, -3835322, -5113761, -6392200?\nAnswer: -7670639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(19)) + -3 + ((-1*sqrt(152))\/sqrt(8) - sqrt(19)))**2 + -3*((-2*sqrt(57))\/sqrt(3))**2.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2596 + 2657. Solve 18 = 43*s + r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/12372 and 79\/74232.\nAnswer: 74232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(8 - 6). Let c be (-13)\/65 - (h - -1). Let b be 0\/(5 + 0 + -3). Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*l - 6. Let w = l + 3. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 v when four letters picked without replacement from {m: 11, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11321 (base 6) in base 4?\nAnswer: 121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (64\/6)\/((-10)\/15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 4 + (-10 - ((15 - 3) + -26)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 w when four letters picked without replacement from {m: 5, a: 3, v: 6, w: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2*37 + (-1 - -4). Let t = 41 - r. Suppose 2*l + t = -2*c + 3, 2*l - 4*c = 14. Solve -o - 4 = -l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4 - 151321*a**3 + 353925*a**2 + 14*a + 2 wrt a?\nAnswer: 24*a - 907926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z + 2*z**2 + 2 + 4. Let v be y(4). Find the third derivative of -3*w**4 + 2*w**2 - w**2 - v*w**2 wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752\/4088*(-14)\/(-10)*-1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 390*l + 2306*l + 2177*l - 1343*l in the form h + x*l and give x.\nAnswer: 3530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-744)\/(-9) - (-4)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553088?\nAnswer: 2, 3, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0 + 10. Solve 3*m + 0*m - 7 = -k, 3*m = 4*k + q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (248\/(-1240))\/(1\/(-70)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.3. Let q = -38 + 38.2. Sort 1\/7, d, q in descending order.\nAnswer: q, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1229010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.306133nm to millimeters.\nAnswer: 0.000000306133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18308 and 16455708?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + o**4 + (o**4 - 3*o**4 + 0*o**4)*(1 - 3 - 2) + 8*o**4 - 13*o**4 - 28*o**4.\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grgr when four letters picked without replacement from {r: 2, g: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -4, 178613 in ascending order.\nAnswer: -4, 0.17, 178613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1253 = h - 1247, -4*h - m + 16 = 0. Let v = 272 - 138. Calculate the greatest common divisor of v and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-122)\/((-9150)\/(-1365))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 746\/5. Let u = -1\/97 - 289\/194. What is the nearest to 1\/3 in u, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 56. Let u = 23.3 + q. Are -2 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2430*q - 2496.\nAnswer: 2430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-90)*-18 + 1\/(-6)*-2. What is the closest to s in 1\/5, -8, 2\/15, 22\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, 0.3, 4.3, 4\/3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f**3 - 20*f**3 - 34*f**3 + 92*f**3 - 26*f**3.\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104699666*g**2 - 209399324*g**2 - 6*g**3 + 15*g**3 + 104699658*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/4*(-24)\/18. Let z = 5 - g. What is the tens digit of z\/(-2)*(-4 + -37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, q: 1, z: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 23*m + 12. Let q be j(5). Let z(w) be the third derivative of 0 + 1\/24*w**4 + q*w**2 + 0*w - 1\/60*w**5 + 0*w**3. Give z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 3. Let l be j(-8). Suppose l*s = -0*s. Suppose s*z = -4*z + 220. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5 - 15. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(6\/(-12)). Let m(h) be the first derivative of -h**3\/3 - 3*h**2\/2 + 2*h - 3. Let o be m(-3). Solve -l*n = n + 2*v - o, 2*n - 10 = 2*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4952\/8047*-1*(-52)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/36)\/((-1)\/(-15)). Find the first derivative of -s**2 - 1 - n + 6 + 3 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 44 - 6)*((2 + 1 - 4)*(0*n + 6*n - 4*n) - n - n + n)*(-4*n**2 + 3*n**2 + 3*n**2) in the form f*n**2 + p*n**3 + a + z*n and give p.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 22.8589?\nAnswer: 2.28589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-520)\/1170 - (-11)\/45. Which is the nearest to 2\/9? (a) 0.5 (b) 21\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64940*a**3*o**3*u**2 - a**3*o**2 - 2*a**3 - 2*a*o**3*u**2 - 6725*a*o**2*u - 4*o**2*u**2 wrt o?\nAnswer: -389640*a**3*u**2 - 12*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y + 3*y)*(-4*y**3 - 3*y**3 + y**3).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2356, 18050, 60646, 143596, 280352, 484366?\nAnswer: 769090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35163.\nAnswer: 3, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 40 - 959*v - 962*v + 1921*v.\nAnswer: v**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allat. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmmr. Give prob of sequence mrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428929 is divided by 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g - 8*g**2 + g**3 + 5*g**2. Give v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 3930924*d**2 + 965758252896*d + 965762183824.\nAnswer: 4*(d - 491366)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 914 + -900. Solve -y + 104 = -18*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 85 = 2*p, -5*y = 5*p - 205. Suppose -4*n + p = -2*o - 52, 0 = 2*o + 8. Let a = 49 - n. Calculate the highest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59 + 130?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 + -182. Let z = y + 1. Which is the smallest value? (a) -3 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = -12328*q - 12349*q + 24639*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -743, -1464, -2149, -2780, -3339, -3808?\nAnswer: -4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*d = -2 - 2, 2*y - d - 8 = 0. What is the highest common divisor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -757*v - 1053. What are the prime factors of h(-18)?\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38100?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 - 2*y - 1. Let h be g(1). Solve 3*b = -2*n + h*n + 3, 0 = 5*b + n - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1640 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 28. Let r be x(-5). Suppose 0 = -4*h + 2*l + 13 + 5, -5*l + r = 3*h. Solve -2*z = -5*m + 15, -m - 5 = -h*m + 4*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8988 and 39\/47936?\nAnswer: 143808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + -117.20303\nAnswer: -116.60303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30042, 30034, 30018, 29988, 29938, 29862?\nAnswer: 29754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233 + 1273 = 26*j + 1648 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6565 and 370?\nAnswer: 485810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448760070 rounded to the nearest 1000000?\nAnswer: 2449000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 3*j - 11. Let c be (-1)\/(-48)*12*-24. Let w(b) = 2*b**2 + 4*b + 12. What is c*i(d) - 5*w(d)?\nAnswer: 2*d**2 - 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89352252761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 3. Let y(p) = p - 1. Let r be y(5). Let g = -2 + r. Let h be n(g). Solve 0 = -3*t - h*z, -4*z = -7*z + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5 - 10 + 11 - 4*t - 4. Let s(u) = 3*u - 1. Determine -8*s(z) - 5*x(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 15. Give v(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 20*j**2 + 20*j + 26. Let y be w(-14). Is y != 924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 88153\/5 - 17629. Find m such that -2\/5*m**4 + 4\/5*m**2 - 18\/5 + d*m**3 - 24\/5*m = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17130632894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4 + 979*m**2 - 482*m**2 - 16 - 488*m**2. Let x(t) = -14*t**2 + 32. Let g(c) = -8*b(c) - 5*x(c). Let z(s) = -450*s**2. Calculate z(g(d)).\nAnswer: -1800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 1132?\nAnswer: -1118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4791470, -19165876, -43123220, -76663502, -119786722, -172492880?\n\"Answer: -4791469*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -308229\nAnswer: 10\/102743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 7*w - 3. Let f be s(6). Differentiate -2*g**f - 4 - g**2 - g**3 + g**2 with respect to g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 11*x + 10. Let o be q(10). Suppose 5 = 4*h + 1. Put o, 5, h in descending order.\nAnswer: 5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18152 (base 9) to base 3\nAnswer: -122011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 86 = 0, -3369*s = 3*h - 3364*s - 203 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 2 - (-8 + 37 + -31).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 14*l**2 - 27*l - 5. Give o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*g + 5*z + 5, -251*z = -247*z + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**2\/5 - 6466*v\/5 - 924\/5.\nAnswer: 2*(v - 462)*(7*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from mmaizzizmziizizzim.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b182 (base 13) to base 9.\nAnswer: 36467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 754504 or 754529?\nAnswer: 754529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*i - 2*g - 1156, 0 = 2*g - 8. Suppose -i = -4*h - 0*h + 4*n, 3*h = -3*n + 213. Let v = -29 + h. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 42, -383 in descending order.\nAnswer: 42, -1, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 8*b**2 - 9*b - 6. Suppose 0*m - 5*m = 35. Suppose 0 = i - 5, -4*i + 11 = -5*z - 4. What is the smallest common multiple of z and k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.2 + 5. Let t = s - -1.2. Let i = 7\/9 + 5\/9. What is the closest to 1 in i, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3 - 3)*(-3 + 2 - 4) + n + 6 - 5 - 2 to the form h*n + r and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-30)*(2 - 8\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 34502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4698 and 870.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -35859\nAnswer: -4\/35859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 21. Put -15, 4, u in decreasing order.\nAnswer: 4, u, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/57 (b) -31 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9322880*p**4 - 2*p**3 - 116053146 wrt p?\nAnswer: -37291520*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 n when four letters picked without replacement from ynkkqqqfkqknqkq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, u: 16}. Give prob of sequence xx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-24))\/((-188)\/3008)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2278*o**2*v**3*w**2 + 24951*o**2*v*w**2 + 1347*o*v**3 + 38*o*v**2 + 40*o*v*w**2 + 2*v**3 wrt o.\nAnswer: 4556*v**3*w**2 + 49902*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than or equal to 295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 25 = 7*n, 42*c = 37*c + 27*n - 32*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 13)\/(-2*(-1)\/(-2)). Let d(w) = 4*w + 53. Let j be d(c). Let s be 1 - (15\/(-5))\/(j\/(-4)). Solve s*x + 5*a = x + 13, 4*x + 7 = -a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 80*t**2\/3 + 1223*t\/3 + 434.\nAnswer: -(t - 14)*(t + 1)*(t + 93)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l + 284. Give f(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = 0, -26 = 4*q - 5*u - 11. Solve -3*j + 5*w - 11 = 0, q = 10*j - 9*j + 2*w - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1 + (1 - 2 - 1)*(-4 + 3 + 0) + 0 + 3 - 5 - 1 - 8 - 76)*(-5*b + 2*b + 0*b)*(-b + 3*b + 3 - 6) in the form j*b + d + f*b**2 and give j.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -28. Suppose r = 6*x - 4*x. Suppose 3*l - l = 0. Solve -y = 2*p + 2, l = -y - y + 3*p + x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 8. Let a be v(8). Let o(s) = -7 - 9*s + s**2 + a + 16*s. Calculate o(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*v - 4*g + 2, 5*v + g = -27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -2\/3*y**3 - 14 - 1\/12*y**4 - 4*y - 2*y**2. Let u(v) = -9*v**2 - 33*v - 33. What is 33*h(p) - 4*u(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h - 3 + 3)*(-3*h + 2*h - h) + 10*h**2 + 4*h - 4*h + 4*h**2 - 2*h**2 - 3*h**2)*(2*h - 3 + 3).\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 1456?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1216, 1284, 1480, 1870, 2520, 3496, 4864?\nAnswer: 6690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.2508ns in hours?\nAnswer: 0.000000000140903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 + 3*j**2 + 11*j + 11. Determine z(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196705*i**2 - 393855*i - 890.\nAnswer: -5*(i + 2)*(39341*i + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + (-48)\/15. Let l = 8 + n. Suppose -3*m = -4*m + l. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**2 - 3. Let n(j) = -8*j**2 - 4. Let p(o) = -8*h(o) + 6*n(o). Let w(x) = -x**2. Let m(t) = p(t) + 6*w(t). Let v(c) = -4*c - 4. Calculate m(v(u)).\nAnswer: 32*u**2 + 64*u + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 70572.41 millimeters?\nAnswer: 70572410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*i**3 - 579*i**3 - 86*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2967720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let p(g) = 3*g**2 + 5*g**2 - g**2. Give p(v(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 7. Let p(q) = 3*q + 6. Let z be p(g). What is the closest to 0 in -2\/5, z, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, i: 6, h: 1, n: 3, g: 3}. Give prob of picking 1 l and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnoo when four letters picked without replacement from znnoooozzzzzozzoz?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = 84*i - 201*i + 86*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3301 + 10?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 + 11*u - 2. Calculate n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56950, -56967, -56984?\n\"Answer: -17*d - 56933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 11 = 3*y - 9, 4*y - 5*g = 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798031 = 118*p + 792013 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-10 - -7 - (-4 + 1)). Suppose n = -3*a - 2*i - i + 219, 5*i = a - 67. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 - 526013?\nAnswer: -525622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.76 from 0.01.\nAnswer: 13.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20710270.\nAnswer: 2, 5, 7, 295861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.192 and -12763.438.\nAnswer: -12763.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41487*b**3 - 250*b**2 - 333*b - 53232.\nAnswer: 248922*b - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 25 - 21*h - 27*h + 64*h. Determine q(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 10. Calculate the smallest common multiple of o and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-20104)\/6272 - 2\/(-14))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 7. Suppose 7*a = 3*a. Suppose -4*j - 3 = 5*f, 0 = -j - a*f - 3*f + 1. Let h be 30\/135 - j\/(-9). What is n(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.38 + -4.38. Let n = w + 4. Let b = 5.78 + -2.78. What is the nearest to n in -4, b, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.4 (b) 13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/132)\/((-3)\/90)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 16999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123748085.\nAnswer: 5, 271, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1173231.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 + y**2 + 2*y + 1. What is the units digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3203689790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 39219520 - 8*x**3 - 39219519 - 7*x**3.\nAnswer: -15*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -5*v. Suppose -3*n = -4*b, -n - 2*n = -12. Suppose -b*m + v = -5. Solve -4*a - 17 = -3*u, m*u = 4*a + 3 + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 17 = 2*z, -5*n - 371*z - 20 = -376*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 90412?\nAnswer: -90414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - (-1 + 3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -199233 and -0.07731265.\nAnswer: -199233.07731265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 2*u - u + (-2 + 3 - 5)*(3*u - 5*u + 3*u))*(-2*u**3 - 4*u**3 + 4*u**3) + (-4*u**2 + 3*u**2 - u**2)*(29*u - 5*u**2 - 29*u).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 2, -0.2, 2\/45, -1270?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374340?\nAnswer: 2, 3, 5, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -78. What is the remainder when 137 is divided by c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (-11 - -32 - 46) - -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 9. Suppose -9 = -3*o + 9. Let z be c(o). Calculate the greatest common divisor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/6)\/((-6)\/(-2)))\/(3 - 2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 603\/8911*-57*1\/(-18)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - h**2 - 3*h**2 + (2 + 2 - 6)*(h**2 + h**2 + 0*h**2) + 40806*h + 9642*h**2 - 40806*h - 3446*h**2 + 3116*h**2 as z*h**2 + u + l*h and give z.\nAnswer: 9306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30131 + -220?\nAnswer: -30401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t + 2*t)*(2*t + 2*t - 2*t) + t**2 + t**2 + 9*t**2 + (-2*t**2 - 2 + 2)*(-3 + 2 + 2).\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose 2*v = 3*h - 172, -2*h + h = u*v - 29. What is the units digit of (-12)\/(-9)*h\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.257+-0.3\nAnswer: 3.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 k when four letters picked without replacement from {g: 7, i: 4, k: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*s = -222*s - 90. Calculate the remainder when 1364 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*z + 6536 = -2*f, 2*z = -4*f + 13168. Calculate the remainder when f is divided by 193.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215 and 1.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166 is divided by 54?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/15*42\/(-308)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -18 - (13 + -2 + -16 + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130879, -130880, -130881, -130882, -130883?\nAnswer: -130884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2062300 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-315)*8\/204. Let u = f - -54629\/21420. Find the common denominator of (2\/6)\/((-6)\/(-549)) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 558.\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*k = 2, k = u + u + 1. Solve -2*z - 2*w + 6 = u, 3*z + 2*w + 1 - 11 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 8118 - 8118 + 0*t - t - 4*t**2. Let v(p) = -6*p**2 - 3*p - 4. Give v(r) - 4*w(r).\nAnswer: -2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 53.93. Let q = 53.79 + t. Let u = q + -1.79. What is the third biggest value in 0.7, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 55113.\nAnswer: -2\/18371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let v be h(-3). Suppose 3*z = -3*i - 2*i + 23, 0 = -2*z + 3*i + 9. Let j be (-4)\/z*36\/(-4). Solve -v*m - j - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) 0.4 (d) 1 (e) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (660\/715)\/((-4)\/26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*f**3*s**3 + 6*f**3*s**2 - 2*f**3 - 2*f**2*s**3 + 5*s**2 wrt s.\nAnswer: 180*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3811 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7657771.2 to the nearest ten thousand.\nAnswer: -7660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c - 81. What is k(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03462 rounded to three dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 5 - 45*w + 38*w as z + j*w and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15678 by -5226.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 742*h**3\/3 - 408*h + 362. Differentiate t(p) wrt p.\nAnswer: 1484*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292361.3t to kilograms.\nAnswer: 292361300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 220?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose -f*t = -0*t - 12. Suppose -3 = w, -3*z + t*w = 2*z - 79. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 plus -5416823.77395?\nAnswer: -5416590.77395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 89*o**6\/20 - 655*o**3\/6 + 359*o**2. Differentiate z(g) with respect to g.\nAnswer: 1602*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041561791, -1041561790, -1041561789, -1041561788?\nAnswer: -1041561787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228*v**2 + 6*v + 232*v**2 - 7*v + 30)*(0*v + v + 0*v).\nAnswer: 4*v**3 - v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 3*d + 3. Let r(o) = 3*o**2 + 8*o - 1. Suppose 35*s = 32*s - 9. Let y be r(s). Give g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 12. Let q be (y - -5) + 1 + 2. What is the derivative of -x - q - 3*x + 3*x wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309727837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25622644 + -13?\nAnswer: 25622631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/154*(-4 + 2 + 1). What is the biggest value in 1\/2, -2\/9, v, 19, -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(7\/2)*(u*u**(-16))\/u)\/((u*u\/((u\/u**(-6\/13))\/u*u))\/u*u*u*u**(6\/11)))**24 assuming u is positive.\nAnswer: u**(-50052\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -149*u + 115. Let s(k) = 100*k - 77. Let y(b) = -5*c(b) - 7*s(b). Let g be y(7). What is the greatest common divisor of 31 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309520 rounded to the nearest one thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1936000*b**2 + 12*b - 60. Let x be s(5). Round x to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4047 in -0.06, -1, 0.2, 0, 1\/25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92733*a**3*h**2 - 2*a**3*h + 162990*a**2*h**2 + 2*a**2 wrt a?\nAnswer: 556398*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h + 3. Let r = h + 1. Suppose 4*u + 4*y - 28 = r, -4*y = -3*u + 5*u - 14. Solve u = 3*w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, 1 x, and 1 m when four letters picked without replacement from xxxkmkxxxxxkxxkiixx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 6684*g**2 + 2*g - 6772*g**2.\nAnswer: -88*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 97.38156 kilometers?\nAnswer: 97381560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1\/10, -3, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13110131, 26220260, 39330389?\nAnswer: 52440518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.54 + -0.04. Let b = d - 4.5. What is the third biggest value in 3\/2, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -36 - (-605 - -574)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 173 - 605. Find the third derivative of 55*x**6 + u*x**6 + 64*x**2 - 23*x**2 + 45*x**2 wrt x.\nAnswer: 13080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*j**2 + 17300*j + 549754 = 0. Calculate j.\nAnswer: -31, 8867\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/5 - 1978*j\/5 - 1976\/5 = 0. What is j?\nAnswer: -988, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -683*z - 2. Let t(j) = -2*j - 36. Give t(k(o)).\nAnswer: 1366*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 2 k when four letters picked without replacement from {z: 1, k: 2, u: 3, y: 3, t: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64138571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.3, -623, 0.5, 1\/8, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70333?\nAnswer: 61, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - 9*k + 19*k**3 + 11*k**3 + 1 - 60*k.\nAnswer: 21*k**3 - 69*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 154. Let o = 118 - c. Let y be (-1)\/(-5) - 2\/o. Solve y*m = -3*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3612501153 and -0.042.\nAnswer: 3612501152.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7903c4 (base 13) to base 16\nAnswer: 2b973f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, z: 6}. What is prob of picking 3 g and 1 z?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*42\/(-224)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - 0.1. Let h(s) = -s**3 + 3*s + 3. Let f be h(-2). Sort -1, f, j.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/9, -1, -15.22, -11, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 35367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -937340 by 1.\nAnswer: -937340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*j = 2*j - 1081032, 0 = 2*y - j + 2162028. Let g = 561012 + y. What is g rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-20207.1.\nAnswer: -101035.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 4*r**2 - 4*r**2 + (-23729*r + 5394*r**2 + 23729*r)*(-1 + 1 + 2*r) to s*r + b*r**2 + o*r**3 + f and give o.\nAnswer: 10790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 29?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j**3 + 3*j**3 - 8*j**3 - 106*j**3 - 168*j**3.\nAnswer: -245*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1010411 + -45011?\nAnswer: -1055422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - -0.61. Let y = k - -0.05. Which is the biggest value? (a) -0.2 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 1 - 4*2\/4. Suppose -14 = -d*c - 5. Let f(y) = -5 - 5*y**2 + c*y + 5*y**2 + y - y**3 - 2*y**2. Give f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 111e13 - 0?\nAnswer: 111e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, 1 s, and 1 l when four letters picked without replacement from {h: 1, e: 3, g: 2, l: 2, v: 3, s: 3}.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -519*u**3 - 833*u**2 wrt u?\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)\/d**(-6)*d**(2\/5)*(d**(-3)*d)\/d)**(-20) assuming d is positive.\nAnswer: d**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0\/(-7))*2789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 0 - 1 - 56*z**3 + 58*z**3 - z - 2*z**2 as v*z + l*z**2 + t + u*z**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**6\/360 + a**5\/60 + a**4\/6 - a. Let i(s) be the third derivative of y(s). Find the first derivative of i(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0473 to 3 decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -0.5, 14, -2\/19, -6, 3 in increasing order.\nAnswer: -6, -0.5, -2\/19, 0.6, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2200941?\nAnswer: 3, 19, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 - a**5\/20 - a**4\/6 - a**3\/2 + 2*a**2. Let j be (-1)\/(-2) - 70\/(-20). Determine m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) 5\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v**2 + 13*v - 6. Determine r(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 280\/6311?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 56*q**2 + 1010*q + 37. Let k be g(-18). Let z(h) be the first derivative of h**3\/3 - 3*h**2\/2 - 2*h + 3. Let d(l) = l - 1. Give k*z(a) + 3*d(a).\nAnswer: a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001037499 rounded to 6 dps?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 2*i**2 + 3*i + 2. Let t be m(-1). Which is the closest to -1\/7? (a) t (b) -0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:34 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*x + 1 + 18, 5*x = -o + 29. Suppose r = o*r + 666. What is the common denominator of 85\/6 and (r\/(-16))\/((-27)\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247445*g**2 + 182234*g**2 - 402237*g**2.\nAnswer: -467448*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94.5 - 95. Let d be 2\/6*3 - -1. Suppose -h + 2 = -d*h. Which is the closest to h? (a) 2\/15 (b) -1\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a14 (base 15) to base 9\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 8. Let x = 23 - 10. Suppose -4*b = -5*i - 2*b + 43, 5*b = -i - x. What is the units digit of y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507135.\nAnswer: 3, 5, 33809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, d: 2}. What is prob of sequence dmd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 + 0 - 1\/8*r**4 - 1\/2*r + 3\/8*r**3.\nAnswer: -r*(r - 2)**2*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**10\/120960 + r**9\/60480 + 4*r**4\/3 - 2*r. Let u(v) be the third derivative of t(v). Suppose u(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 7. Let w be h(-5). Suppose -243 - 366 = -w*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 0*w + 55 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v - 260 - 400 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*h - 10896, 0 = -5*f - 4*h + 20545 + 6731. Let j = f + -3693. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + 3.5. Let h = l - 37. Let j = -30.1 - h. What is j rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216243 (base 10) to base 14\nAnswer: -58b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -105*p**3 + p**2\/2 - 7*p + 2. Let l(r) be the first derivative of o(r). Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -63. Suppose -4*w = 3*k - 2, -5*w = -n*k + 8 + 3. Let s = 166690\/87 - 1916. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54.31 + 56.01. What is the closest to -0.1 in d, 2, 1\/2, -32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143683369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1501304 divided by 323\nAnswer: -4648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-2*-6)\/(sqrt(15)\/(sqrt(363)*4)).\nAnswer: -1056*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7661 - -0.4?\nAnswer: 7661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058095550.\nAnswer: 2, 5, 21161911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.9922 micrometers in centimeters?\nAnswer: 0.07289922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 - -69. Let c = 127 + p. What is the remainder when c is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92220 and 292320?\nAnswer: 15492960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 152\/36 - 402\/(-2295). Let o = x - 142\/595. Let y be (-26)\/(-28) - (-1)\/(-2). Which is the third smallest value? (a) 1\/8 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.93 - -0.07. Let j be 195\/234*(-27)\/30. Which is the closest to p? (a) j (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -5, -14 in ascending order.\nAnswer: -14, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-294))\/((-3)\/(-4)). Let d be 184\/(-294) - (1 - 2). Let g = l + d. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -2 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, -5\/3, 8, -3 in increasing order.\nAnswer: -151, -3, -5\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 204 - 11 = 48*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 2*r**3\/3 + 284. Let m(l) = 3*l**2 - 3*l**2 - 3*l**2 + 4*l**2. Determine g(m(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2840 and 4.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -49*c - 35. What is r(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20486*q - 18311?\nAnswer: 20486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7970.3 + 7367. What is z rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3489809 and 25133?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 88 = -2*o - 3*m, 2*m = -2*o + 160. What is the remainder when o is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u. Suppose -s + 25 - 4 = u. Let i = 49 - s. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/13? (a) -9 (b) -0.2 (c) -4\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -18*w + 1. What is the closest to 1\/22 in -2\/5, 0, -4, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.39 and -2351?\nAnswer: 916.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 148*m**3 + 2\/3*m**5 + 0 + 0*m**2 + 0*m - 226\/3*m**4 = 0?\nAnswer: 0, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 29. Let r(g) = -g**2 - 9*g + 2. Let i be r(-10). Let w be t(i). Let j be (-51)\/(-3) - 25\/w. What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22\/67, 0.3, 3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 2*v**4 - 9*v**3 - v + 0*v + 335 - 337 to the form c*v + o + j*v**4 + k*v**3 + t*v**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 8*k + 3.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 5. Let x be t(6). Let j be (-6)\/10 + (-85)\/x. Is (-1042)\/j - 21\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16430*q**3 + 14244*q**2 - 2145*q + 73. Let b(m) = -115011*m**3 - 99726*m**2 + 15015*m - 510. Let y(k) = 2*b(k) + 15*w(k). Factor y(t).\nAnswer: 3*(t + 1)*(74*t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -10*i**2 - i - 19. Give r(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/3 (b) -2 (c) -5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 135*h + 130.\nAnswer: 5*(h - 26)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053448023 rounded to the nearest 1000000?\nAnswer: -1053000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - 0)*5\/((-75)\/6). Sort 7, 2, g, 1.\nAnswer: 1, 2, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 237\/43900?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - -211. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 25981.\nAnswer: 25984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/50)\/((-4)\/80*-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -3)\/(0 - -1). Let u(m) = -1 - 3*m - 1 + a*m + 2*m. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 2, t: 4}. Give prob of sequence vt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296808913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 453122127*i + 105729363 with respect to i.\nAnswer: 453122127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(102)\/(sqrt(6) - ((-2*sqrt(72))\/sqrt(12) + sqrt(6))))*4.\nAnswer: 2*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(209) + sqrt(209)*-1 - sqrt(209)) + sqrt(209)) - sqrt(209))\/(sqrt(132)\/(sqrt(12) - sqrt(60)\/sqrt(5) - sqrt(12))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -12*w**4 + 1029*w**3 + 5745*w**2 - 1029*w - 5733 = 0?\nAnswer: -21\/4, -1, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i - 0*i. Suppose 5*v = 2*o - 6*o - 271, -114 = 2*v - i*o. Let p = 102 - v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2937330*h - 5874671*h + 2937345*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8616.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, i: 5, c: 5, s: 4}. What is prob of sequence si?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 9 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2160\/(-576))\/((-10)\/(-48))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = r - 5*r. Let q(f) = f + 1. Let b be q(r). Suppose -2*y = -4, -b*m + 6*y = y - 35. 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 z(v) = 4*v - 15. What is z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 18*k - 3*k - k**2 - 10 - k + 0*k**2. Let u be a(13). Solve -r = 4*w - 12, 2*w + u*w - 15 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1972*q**6 - 3*q**2 + 76 wrt q?\nAnswer: 236640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 294*d = -292*d + 1, d = 3*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = t, 11*t = 9*t + v - 10. Sort -5, 101, t, 0 in decreasing order.\nAnswer: 101, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1772\/105 + -544\/35. Put d, 10, -5.8 in descending order.\nAnswer: 10, d, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575081 is divided by 3043?\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 100*g - 165. Is 109 a factor of u(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*t**3*v**3 - 3*t**3*v*x + 15*t**2*v**2*x*z + 97*t**2*x + 1303*v**3*x*z - v**3 + 3*v*z wrt v.\nAnswer: 252*t**3 + 7818*x*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 700 - 690. Solve -n*m + 4*m + 30 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 5*s**2 - s - 9. Give n(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and 44.28.\nAnswer: 50.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5084 + 5084. Factor -7\/8*h**2 + u + 1\/4*h.\nAnswer: -h*(7*h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 - p**4\/2 - 5*p**3 - 10*p**2 + p. Calculate y(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*c**2*l + b*c*l + 204838*b*l + 1352*c**2 + 91*l wrt b?\nAnswer: 2*c**2*l + c*l + 204838*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45024 divided by -2144?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7795 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -593 + 564?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*i - 54, -4*u - 2*i - 21 + 59 = 0. Let m be u - ((-3)\/3 - -4). Suppose 2 = m*l - 5*l. Which is the closest to -4\/3? (a) l (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = 33*r + 460. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i**2 - 5*i**2)*(-27*i - 35*i + 15*i).\nAnswer: 94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 - 10*b**2 + 4*b + 6. Let t(c) = 20*c**3 - 29*c**2 + 11*c + 17. Let y(p) = 2*p**2 - 12*p + 35. Let f be y(3). Give f*k(o) - 6*t(o).\nAnswer: -o**3 + 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17730 and 36.\nAnswer: 35460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -n - 3*q, 2*n + 30 = 3*q. Let c = n + 12. What is the nearest to -0.2 in -5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*p + 294 - 740 = 2634 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 39. Let z = -4 + 9. Suppose q + h = z*q. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from {j: 2, t: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-4)\/p))\/((p\/(p*p**(-12)*p))\/p))\/((p*p*p*p**(2\/29))\/p**(-14)) assuming p is positive.\nAnswer: p**(-611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -147, -511, -1217, -2379?\n\"Answer: -19*x**3 - 3*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*h + 40, 4*h = 5*w - 2*w + 27. Suppose h*g = -21 + 3. What is the tens digit of 1*(-3)\/g*38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 13624?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -22. Suppose 0 = 3*l - m*o + 24, 21 = -5*l + 4*o - 2*o. Let f(n) = -2*n + 3. Let z(j) = -3*j + 4. What is l*z(s) + 4*f(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from incmcmncmo. Give prob of sequence ccic.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89\/3, -0.3, 4989?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50933 minus 769099.69?\nAnswer: -820032.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a*a)**13)**(-5\/8)\/(((a**(1\/9)*a)\/(a*a*a\/a**(2\/11)*a))\/(a**0)**(-1\/6)) assuming a is positive.\nAnswer: a**(-4291\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -280 or -281?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 79663142?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*h + 5*h - h)*(1 - 1 - 2)*(4*h + 0*h - 2*h).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 22 = -h. Suppose -h*i + 16*i + 28 = 0. Calculate the remainder when 40 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.741 + -0.68. Let j = m + -0.079. Let b = j - -3.018. Put -0.3, 1\/6, b, -4 in increasing order.\nAnswer: -4, -0.3, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, -8, 3 in increasing order.\nAnswer: -8, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513131 - 513128.53981. Let c = 0.19171 + f. Let s = c - 2.64. Round s to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - -3) - (-1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**6\/240 + m**5\/30 + m**4\/12 - 3*m. Let c(s) be the third derivative of l(s). What is the first derivative of c(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8*m**3 - 164*m**2\/7 - 100*m\/7 + 8\/7 = 0.\nAnswer: -2, -1, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 3. Let q(c) = -2*c - 2. Let i be q(2). Let j be v(i). What is the highest common divisor of 30 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 9*v**2 + 10*v - 4. Let u = -2 + 36. What is the remainder when u is divided by i(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 2. Let a be m(-6). Suppose 0 = -u - a*u. Let i(c) = -c**3 + c**2 + 9. What are the prime factors of i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28280\/40*((-25)\/5)\/5*(-8)\/(-56)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -27 + 24 - (-16 - 0)) + -5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -179337*u. Let g(y) = -2*y. Determine r(g(s)).\nAnswer: 358674*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -2*r + 3*k, 0 = -24*r + 25*r - 5*k - 139. What is the remainder when r is divided by 72?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -m - 8, 4*t = 3*m + 16. Solve m = -5*k - 6 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**2 + 2*r**2 - 4*r**2)*(3 + 0 - 4) + (-r - 4*r - 4*r)*(2 - 3 + 6*r + 6*r) in the form y*r**2 + g + a*r and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(1\/4))*p**10)\/((p\/p**(-18\/7))\/((p\/(p\/p**20))\/p)) assuming p is positive.\nAnswer: p**(733\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 20*f**2 - 261*f - 62. Calculate u(10).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -412362, -824763, -1237270, -1649937, -2062818?\n\"Answer: -9*x**3 + x**2 - 412341*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 404 + -282. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 18. Let i = 13 - r. Let s = 7 + i. Sort 2\/17, s, -6 in descending order.\nAnswer: 2\/17, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 224*n - 1220.\nAnswer: 4*(n - 5)*(n + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cd1 + 5?\nAnswer: cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/f**14*f\/((f*f\/(f\/(f*f**(2\/15))))\/f)*f*f**(-7\/8))**(-1\/16) assuming f is positive.\nAnswer: f**(2641\/1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 3*x + 4*x + (0 + 4 - 5)*(x + x - x))*(-29*x**2 - 57*x**2 + 30*x**2).\nAnswer: 168*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*k + 1438*k + 120184182 - 120184182.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*u**2 - 240*u**2 + 6468*u + 5*u**3 - 131*u**2 - 6468*u - 2*u**3 + 0 + 0 + (-1 + 1 - 2*u**2)*(4*u - 5*u - u).\nAnswer: 7*u**3 - 352*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492130 by 1697.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -34. Let y be (-1)\/(0 - -3 - 4). Let o = 1.9 - 2. Sort h, o, y in decreasing order.\nAnswer: y, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 + 55 + 112 + 552 + 13)*(-3 - 1 - 2)*(2 - 4*k - 2).\nAnswer: 21504*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 + 3*g. Let y be r(-2). Let c = 28 - y. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174230 and 22610.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 178 and -2017?\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6152763*l - 2708286 wrt l.\nAnswer: -6152763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 5, a: 9}. Give prob of picking 1 v and 1 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = 2, -3*m = -2*j + 4. Let q(z) = 50 + m*z + z**2 - 28 + 6*z - 19. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/6413 + -43541\/1442925. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209\/4 - -52. Suppose 4*w = 24, -50*w = v - 52*w + 17. What is the closest to u in 1\/2, v, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2376 is divided by 773?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-436217 + 218113 + 218130 + 2*g)*(-g - 1 + 1).\nAnswer: -2*g**2 - 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 336*r**5 + r**4 - 37*r**2 + 3. Let x(y) = y**5 + y**4 - y**2 + 1. Let q(o) = -t(o) + x(o). Find the third derivative of q(z) wrt z.\nAnswer: -20100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p**3 - 3675*p + 1841*p + 1834*p.\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.626 - -5.6. Let f = -3.026 - w. Let b = -11 + 12.2. Sort f, 5, b in increasing order.\nAnswer: f, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 14 = 24. What is the remainder when z is divided by (-13)\/((-4 - -5) + 2 + -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*0.44.\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 (base 8) in base 5?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**3. Let n = -3359 + 3352. Let a(v) = 10*v**3. Let m = 6 + -12. What is m*a(g) + n*h(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85c7 - 419?\nAnswer: -8a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -399184 * 10\nAnswer: -3991840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3358*n**2 - 1102*n**2 - 1967*n**2 + 511*n**2.\nAnswer: -5916*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -28869.\nAnswer: 3\/9623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d + 90. Let s be f(-10). Suppose s = 19*p - 35*p + 2880. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = 4*n, 3*y + 4*n - 38 = -17. Suppose y*o + 192 = 3432. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152232 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 45*z - 40*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = 4*p, -4*k = -5*p + 3*p - 18. Let i(x) = -x**2 - x - 1. Let r(c) be the third derivative of c**4\/24 + c**3\/6 + c**2. Calculate p*r(y) - i(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(9 - 9 + 8*o)*(0 + 1 + 1).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbbmscvybmv. What is prob of sequence smyb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 141 = -6*p. What is the remainder when 83 is divided by 23 - (-6)\/4*p\/(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654*j + 19476 = 5*a + 656*j, 3*a - j - 11668 = 0. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*1*sqrt(147) + 1) + (-4*(sqrt(75) + 0) - ((sqrt(27)*-1)\/sqrt(9) - (sqrt(3) - (5*2*sqrt(3) + sqrt(3))))))**2.\nAnswer: 228*sqrt(3) + 9751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-13 + 3 - 8 - -10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p**2 - 8 + 8 - 2*p)*((3 - 3*p - 3)*(-1 - 2 + 5) + p - p - p).\nAnswer: -112*p**3 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 4\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56579.5 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16 = -2*v, -5*p + 2*v = v + 10. Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 122939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -5*w**3\/2 + 39*w**2 - 2667*w + 2. What is a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5 = 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 0.3. Let d = -0.4 + j. What is the third biggest value in d, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.05814*-0.06.\nAnswer: -0.5434884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 2 (c) 0 (d) 0.2 (e) 2\/389 (f) -129\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763160 is divided by 493.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -129*r**2 + 25*r + 8. Let k(t) = -47*t**2 + 9*t + 3. Let a(j) = 11*k(j) - 4*n(j). Let d(x) = -2*x**2 + 12*x - 12. What is 12*a(i) + d(i)?\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 3*x. Which is the closest to x? (a) 1\/5 (b) -9 (c) 1\/11 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/11? (a) 0.4 (b) -2\/5 (c) 4 (d) 1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d**2 - 10*d + 25. What is the units digit of g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -32. Suppose -4 - w = 5*y. List the prime factors of -2 - (-1)\/(y\/(-131)).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/7*24211\/37417.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(-4*(-1)\/(-3424)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3500655247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -11, -1, 25, 73, 149, 259?\n\"Answer: y**3 - y**2 - 4*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 10*j - 86. What is the lowest common multiple of g(-6) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 108070*k**2 + 108070*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81794050*k**4 + 111193319 wrt k.\nAnswer: -327176200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/70*-16*17\/(-204)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v**2 - 2*v**2 + 3*v**2)*(v - 96 + 96) - v + v**3 + v)*(-3 - 3 - 3)*(2*v - 5*v + v).\nAnswer: 54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 8. Give z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*l - 53, -2*l = 2*x - 0*x + 26. Let n = 18 + l. Put 0, n, 5 in descending order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3 - 78. Let r(f) = -4 + 33 + b*f + 0*f + 0*f. Is r(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*y**2 + 66*y**3 - 63*y**3 + 846*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -103173, -103172, -103169, -103164, -103157, -103148?\n\"Answer: g**2 - 2*g - 103172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 + 972 + 765 = 22*c. Calculate the greatest common divisor of c and 3834.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-7 + 13)) + -10 - (-5 + -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -99. Solve -2*x - 8 = -k, o*k + 7 = 5*k + x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 89 - (1\/(-7))\/(289\/12138)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3108, 6320, 9640, 13068, 16604, 20248, 24000?\n\"Answer: 54*l**2 + 3050*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/4 + (-36)\/(-48). Let q be -4*(-9)\/12 - j. What is the common denominator of -8 - -6 - (-117)\/q and 139\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 35 = -2*p, -3*p - 15 = -2596*t + 2594*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**3 + 15417*u**2 - 641958*u - 1345608 = 0.\nAnswer: -2, 44, 5097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2\/(-10))\/((-3)\/(-165)). Let y = b - 42. Find the third derivative of 24*h**4 + 15*h**y - 174*h + 174*h wrt h.\nAnswer: 576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d**3 + d**3)*(6*d + 0*d + 2*d) + d**4 + 3*d - 3*d.\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 12*w + 4*w - 7*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 608.\nAnswer: -607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*y - 11 + 3, 5*j = 3*y + 92. Suppose 16 = -15*w + j*w. What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -604 - -4234\/7. Factor 0*m**2 + 0 + 3\/7*m**3 + 3\/7*m**5 - v*m**4 + 0*m.\nAnswer: 3*m**3*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.239.\nAnswer: -0.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -24\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 30*b**2 + 16*b**2 - 97*b + 2 + 45*b + 46*b in the form j*b + p + s*b**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2431726 and -121\/42.\nAnswer: 51066246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/57 and -50\/59.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8281311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 0.36. Let n = 18.37 + x. Let u = -976 + 972. Which is the closest to 0? (a) u (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84827059 and 31349?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*w**2 + 557*w**2 - 183*w**2 - 193*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 8201.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + -7 - (1 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2038969?\nAnswer: 2\/2038969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*z**3 + 4*z**3 - 3*z**3 - 5*z**3 + (2*z - 2*z + z**2)*(-1 + 1 + z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.2 and 920.\nAnswer: 922.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*p**2 - 58*p**2 - 142*p**2.\nAnswer: -275*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 304?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/28*(-7)\/(-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-9))\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 15*g**5 + 141*g**4 + 204*g**3 - 480*g**2 - 1056*g - 336 = 0.\nAnswer: -7, -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310003230 (base 4) to base 8.\nAnswer: -1640354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 455*o - 15063. Give f(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4 - 3\/2. Let z be (-1)\/j*-1 + -1. Differentiate 1 + p**2 + z*p + 0*p with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 8 = 52841*c - 52839*c, 4*m = 5*c - 48 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127029901607235 - -3.\nAnswer: 127029901607238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 52c9a?\nAnswer: 52c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476*t + 1473*t = 3*m + 72, -75*m - 544 = -2*t + 1102 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 13*c**3 - 19*c**3 + c**2 + 3*c - 2*c + 8*c**3 to v*c**3 + p*c**2 + g + k*c and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*1\/(-5))\/((-2)\/500). Calculate the greatest common divisor of 12875 and x.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1310 = -5*c, 10 = 4*t - 10. What is the greatest common factor of c and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 24. Let y(b) = -b - 25. Let v(a) = -4*t(a) - 3*y(a). Let u be v(-6). Let f = -17 - u. Put f, 4, 3 in ascending order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -529\/622 less than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5007*p + 49934 = -485815 for p.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 83677.\nAnswer: 4\/83677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 85\/(-25))\/(60\/650)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/7 of a week in days?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1586, 1693, 1802, 1913?\n\"Answer: t**2 + 104*t + 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m**2 + 24*m**2 - 7*m**2 - 111*m**2 + 4*m**2.\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 223249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1342062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = 2*u, -3*u - v + 3*v = -5. Let b = 0.21 + 0.19. What is the biggest value in -5, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*g**2 - 2 + 252*g**2 - 5*g + 2 wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -8 (b) -0.91 (c) 3\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((-1)\/2*13\/(-494)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*i - 192 = -84*i. Are i and 192 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 11 + 27*j + 6*j - 14*j - 24. Give y(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*3\/18 + (-13)\/(-3). Calculate the lowest common multiple of 6\/a - 18\/(-36) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let r(w) = -41*w - 1. Let n(b) = 14*a(b) + 2*r(b). Let p(t) = -19*t - 3. Give 3*n(i) - 16*p(i).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 514284 divided by -128571\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 351462901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -49 + 4*q + 49. Let z(w) = 8*w**2. Give k(z(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/155 and -34\/1925?\nAnswer: 59675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 8, h: 8, z: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 27*p**6\/5 - 882*p**5\/25 + 218*p**4\/5 + 2728*p**3\/15 - 608*p**2 + 640*p + 4357. Determine g, given that d(g) = 0.\nAnswer: -2, 1, 2, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 10) to base 12\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4 = -z - 3*z, z + 4*s = -14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 152 + 37 = 0. List the prime factors of m + (-5 - -3) - -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 - 12*r**2 + 118*r - 350. What is q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1092 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.024 - 0.024. Let t = 12.9 - 36.98. Let i = f + t. What is i rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2540, -6, -3, -1, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -3, -6, -2540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/2 - 15*p**2\/2 - 9*p + 16 = 0.\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 3dfd?\nAnswer: -3e05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*k - 1 = 3, -4*r = -2*k + 4. Let p = r - -3. Suppose -282 = -p*f - 2*f. Round f to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s)\/((s**1\/s)\/s)*s**(-5\/4)*s\/(s\/(s*s**(2\/11)\/s*s)))**(-30) assuming s is positive.\nAnswer: s**(2025\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 - 20*d**3\/3 + 24*d**2 - 36*d + 18.\nAnswer: 2*(d - 3)**3*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -847*z**2 - 47*z + 1882. Let a(v) = -423*v**2 - 22*v + 942. Let t(y) = -13*a(y) + 6*g(y). Differentiate t(s) with respect to s.\nAnswer: 834*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 218*i - 6. Let m(s) = -2*s**2 - 219*s + 4. What is 2*c(d) + 3*m(d)?\nAnswer: -2*d**2 - 221*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*a**2 + 2*a - 3*a + 265*a**2.\nAnswer: 388*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c = -564235 + 565799 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + sqrt(243) + 2*sqrt(243) - sqrt(243) - sqrt(243) - (4 + -1 + sqrt(243) + sqrt(243)))**2.\nAnswer: 126*sqrt(3) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -867900957*j**3 + 294968503?\nAnswer: -2603702871*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6460, -11557, -20052, -31945, -47236, -65925, -88012?\n\"Answer: -1699*p**2 - 4761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 12. Let x be t(10). Let c(h) = -h**3 - 6*h**2. Let j be c(-6). Let n(k) = x*k + 3*k + j*k. Let v(q) = -2*q. What is n(v(m))?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65317 and 903?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) - 920\/(-22). Let m = h + -19. Suppose 5*i - 47 = m. Calculate the remainder when 41 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16528 + -16525. Sort p, -5, 13, -12.\nAnswer: -12, -5, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -740 divided by 4.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 + 27 = 3*u, 4*u - w = 55. Suppose u*r = 924 + 6707. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36258 - 36248. What is the highest common factor of 38 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, 1 in descending order.\nAnswer: 6, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 104066?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r**2 + 3*r + 4. Let c(j) = 3*j**2 - j - 1. Let y(z) = -7*c(z) - 2*o(z). Suppose 0 = -7*m + 12*m - 5. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 + -8185112?\nAnswer: -8185047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-42)\/(k**44*k))**(4\/19))**(-6\/29))**20 assuming k is positive.\nAnswer: k**(1440\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 11*s + 9120 = 0. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 + -476. Is -203 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 0.328133.\nAnswer: -3.28133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/27 + -2 + (-2)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6354 - 6348. Factor 2\/3*d**4 + 10\/3*d + 0 - x*d**2 + 2*d**3.\nAnswer: 2*d*(d - 1)**2*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v, -6*f - 4*v - 88 = -2*f. Let y = -25 - f. Solve 3*p - y = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 - 9*i - 3. What is h(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(((-34)\/(-741))\/17). Find the third derivative of -61*j**2 + 62247*j**4 - 62247*j**4 + 2 + h*j**5 wrt j.\nAnswer: 14820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1570906322.9999546 - -1570905881. Let t = h + 442. What is t rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -1444*c + 1448*c - 1, 0 = -c - d - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15605046?\nAnswer: 2, 3, 37, 23431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.6 + -14.2. Let l = 2.9 - f. Which is the smallest value? (a) -4 (b) l (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((15 + -5 - 12) + 0 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 67*v - 3262. Let x be b(61). What is the greatest common divisor of x and 3795?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*f - 2*f + 15, -3*d = -f + 3. Let b = -1012.3 - -1012. Sort b, 0.2, f in ascending order.\nAnswer: b, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4781.156nm to meters.\nAnswer: 0.000004781156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 927970543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/72 and -145\/108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 - -0.04. Let d = -0.67 - -0.97. What is the nearest to q in -0.4, 1\/7, d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2832\/13 - 218. Let z = 3129 - 3129.5. Let r = 0.1 - 0.3. Put n, z, r in decreasing order.\nAnswer: n, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-627)\/(-171) - (-4)\/3. Suppose 4*w - 4 = -4*z, 3*z - 17 = -2*z + w. Suppose z*s - 3 = -0*s. What is the greatest common divisor of s and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(-1\/29)))\/a*(a**(-11\/5)\/a)\/a)\/(a**(7\/4)\/a**(-2\/7)) assuming a is positive.\nAnswer: a**(-33297\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/1021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((sqrt(156) + (sqrt(156) - sqrt(156)*-1*6 - sqrt(156)))\/((sqrt(120) - (sqrt(120) - ((2*sqrt(120) - sqrt(120)) + sqrt(120))))\/sqrt(10)) + -1).\nAnswer: -4 + 35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1133.4149 to the nearest 10.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2 + 2 - 10 + s**2 - 1 - 9*s. Let f be a(11). Let c(v) = -v**2 + 13*v + 8. Is 10 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 - 430. Let g = f - -67.6. Round g to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 16*l**2 - 3*l + 19. Let j be q(8). Sort -1, -2, 6, j in descending order.\nAnswer: 6, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j. Let q(k) = k**2 + 3*k - 11. Let p be q(-5). Let t be h(p). Let d = t - -19. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-5 + 3)) + 2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 6*b - 6. Let v be r(5). Let a(j) = -5*j - 1. Let t be a(v). Does 21 divide (6 - t)\/(2\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33606 + -33608. Let x(s) = -11*s**2 + 2*s + 2. Determine x(g).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i - 8. Let l be s(-2). Let z = l + 58. Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 27225*t - 54430.\nAnswer: -5*(t - 5443)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -5. Let i = 2.96239 + 0.03761. What is the biggest value in i, -4, w, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 34135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (5 - 53)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t + 2. Let a = 0 - 0. Suppose 3*z - 6 = 0, 5*j - 32 = -a*j + 4*z. Let b(g) = g**2 - 8*g + 2. Let d be b(j). Calculate m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/6 + 3*t**2\/2 - 371*t. Suppose -l - 5*x - 16 = l, 0 = -3*l + x - 24. What is z(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 1752.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27434 and 66.\nAnswer: 82302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303585 days in seconds?\nAnswer: 26229.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 16 = 0. Suppose 3 = -f + c*d - 4, -3*f - 2*d + 7 = 0. Suppose -q = -f - 4. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 98 + 232. Let x be (1*2\/(-6))\/(2\/g). Let a = -30 + x. What is the greatest common divisor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 3*n + 2. Let t be q(-5). Suppose i = 4*i + t. Let x = i + 49. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 + 119. Let j(s) = s - 4. What is j(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-582)\/2456 - (-1)\/4. Let q = -42083\/1842 + o. Calculate the common denominator of 2 + -2 - (-210)\/77 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.697 + -3.303. Suppose -10 = 2*m - 4*m - 4*s, -2*s + 10 = 0. Which is the smallest value? (a) m (b) 0.21 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:50 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16570.9993193 - -16571. Round w to five decimal places.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381503, 381502, 381505, 381512, 381523, 381538?\nAnswer: 381557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 1\/30*k**5 + 0*k + 0 - 2\/3*k**3 + 22*k**2 + 1\/12*k**4. Factor h(z).\nAnswer: 2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a10a (base 12) in base 15?\nAnswer: -406dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 30*i**2 + 51*i - 18. What is s(28)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2.9, 5\/6, -0.2, 138.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:30 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + i - 8199638. Let g(w) = 2*w**2. Determine m(g(f)).\nAnswer: 8*f**4 + 2*f**2 - 8199638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21994248 and 7331416.\nAnswer: 21994248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 10. Let w be q(-8). Let i = w + 17. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j + 10. Let k be f(4). Suppose k = -t + 70. Suppose -2*a + 6 + 34 = -s, -5*s = a - t. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -17*k + 446. Give l(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1)*12\/36)\/(1\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*a + 7*a + 480 = 0, -3*a = 5*v - 637. Calculate the remainder when v is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -669*m**2 - 9062 - 9064 - 9068 + 27190 in the form f + d*m**2 + h*m and give d.\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voqqvnk. Give prob of picking 1 n and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11298677 + 2?\nAnswer: 11298679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4740 and 3476.\nAnswer: 52140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, e: 4, y: 6}. Give prob of sequence yyy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (-5 + 0 + sqrt(162))**2 + sqrt(162) + -2 - -1*(sqrt(162) + -6*1*sqrt(162)).\nAnswer: -117*sqrt(2) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-9) + (-15534)\/(-81). Let s = x - 84. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -3*o**3\/2 - 5*o**2\/2 + 6*o + 2. List the prime factors of i(-32).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 9) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:30 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.977225 + -3.622699. Let m = q + 6.6. Round m to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u + 10. What is the remainder when b(1) is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -26*t - 3343. Calculate d(-87).\nAnswer: -1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 - 145. Suppose v = 2*d + 2054. Is d\/(-8) + 6\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 2*t**2 - t + 3. Let f be j(2). Suppose -2*l - 5*m = -26, -3*l + f = -2*m - 0*m. Solve x = -l*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10284562403\/54 + -190462741. Let z = r + 7881. Calculate the common denominator of z and -143\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, 1 a, and 1 j when four letters picked without replacement from {j: 5, x: 2, v: 2, r: 4, a: 1, y: 1}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/5*((-36)\/3)\/(-24)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Let g be ((-78)\/234)\/((-1)\/117). Let t be (2\/9)\/(g\/(-234)). What is the nearest to c in t, 3\/4, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25544653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*u + 210 = -0*o, 4*o + 3*u - 222 = 0. Calculate the least common multiple of o and 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*s = 2*s + 1, -4*y = 2*s - 20. Let i be (-104)\/(-24) - 1\/3. Solve -6 = v + i*z, -y*v + 2*z + 0*z = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2550 by 8.\nAnswer: -1275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 smaller than 2337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 6:29 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184*o**3*y**2 - 2736*o**3*y - 12*o**2 - 17*y**4 wrt y.\nAnswer: -368*o**3 - 204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-160))\/(2\/(-70)*3)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:32 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16796028 to the nearest integer?\nAnswer: 4098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 2, 460, 3, -41 in descending order.\nAnswer: 460, 6, 3, 2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4482491, 8965026, 13447561?\n\"Answer: 4482535*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.32 - 0.32. Put 2\/11, -2\/17, 0.6, t in ascending order.\nAnswer: -2\/17, 2\/11, 0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(8470\/(-198)))\/(6*2\/8)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 440?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 2*h + 3*h + 1. Let n be p(2). Calculate the greatest common divisor of 99 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10*5\/9. Suppose 0 = -x + 5 - 3. Let a be (-9)\/(-6) + (-1)\/x. Is s less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227025390, -454050780, -681076170, -908101560, -1135126950?\nAnswer: -1362152340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/4 + 94714607*y\/2 + 8970856779164449\/4 = 0. What is y?\nAnswer: -94714607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3574*s**2*w**3 + 5456*s**2 - 13753282*w**3 wrt s.\nAnswer: 7148*s*w**3 + 10912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.5, 0.3, -1, 1\/4, 0.2, 16 in increasing order.\nAnswer: -9, -1, 0.2, 1\/4, 0.3, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -3663, 12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and -1231914.53258.\nAnswer: -1231898.53258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 20. Let h be x(-17). Suppose 3*a + 3*d = -0*d + 21, 2*d - 4 = 0. Suppose a*p = 5*q - 70, 5*p + 0*q + q = -94. Sort -1, p, h.\nAnswer: p, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349\/5 - -70. What is the nearest to s in -2\/13, 4, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-5))\/(15*26\/(-65))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1095.816 hours?\nAnswer: 45.659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 142 = 240 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**4\/12 + 2*h**2 + 123*h - 16. Let v(t) = -2251*t - 2. Determine v(d(r)).\nAnswer: -4502*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-2 + (-30)\/(-126)*8). Suppose 4*p - 108 = -0*p. Let h be 2 + (-84)\/p - -1. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2140 (base 7) to base 5\nAnswer: -11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/4 + 5*f**3\/3 + 7*f**2\/2 - 6*f + 3. Let b be y(6). Sort -3, 1, b in descending order.\nAnswer: 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -n + 2*z, 3*z = -z + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3631534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 12*r = 45. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58\/69 + 96\/23. Factor -4\/3 - 2*v**2 + 2\/3*v**4 + 2\/3*v**3 - w*v.\nAnswer: 2*(v - 2)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c - 3. Let a be y(-7). Suppose 3*g + 3*r = 15, 0 = -4*g + a*r - 2 - 2. Solve -g*w - 2 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511, -511, -513, -517, -523, -531?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(5*v**2 - 2*v**2 - 4*v**2)*((0*v**2 + 5*v**2 - 3*v**2)*(2 - 2 - 2*v) - v**3 - 23*v**3 - 28*v**3).\nAnswer: 112*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocoqexoqox. Give prob of picking 2 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 - (-8 + (58 - 106)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)*(3 - 8). Let n be (-36)\/(-10)*(0 + w). Let x = 6 + n. Round x to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67195 - -149078. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/4129, -4, 0.04 in decreasing order.\nAnswer: 0.04, -9\/4129, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12629723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 78\/263?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -15, -2\/3, -2\/13, 51\/8, -56?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2298644)\/47846 + (-18)\/(-423).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-75)\/(-10)*(-4)\/(-3) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -34*i + 4169. Calculate j(120).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 17, 43, 69, 89, 97, 87, 53?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t\/t**(-1))\/t)\/t)*t)\/t)**(-48)\/((t\/(t**(-3\/2)\/t))\/t)**(-1\/77) assuming t is positive.\nAnswer: t**(-7387\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 719 divide 2578401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 27001*r**3 - 1 + 13499*r**3 + 13487*r**3.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468195 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -201*w**2 + 615. Let a(c) = 41*c**2 - 123. Suppose 4 - 24 = -5*q. Let o(r) = q*x(r) + 21*a(r). What is the first derivative of o(m) wrt m?\nAnswer: 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*b = -0*b - 2, 0 = i - 2*b + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 0, 4*a - 28 = -3*j - 2. What is the second derivative of -3*i**5 - 11*i + 0*i**5 - 13*i**a wrt i?\nAnswer: -320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 80, 7, -5.\nAnswer: -5, 1, 7, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**5\/60 - 2*w**2 - 15. Let d(b) = 6*b. What is o(d(y))?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 80 = 3*n + n, 47 = t + 5*n. Let p = t + -20. Calculate the common denominator of p and 67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18051 is divided by 8658.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10\/11, 4\/3, -3\/4, -6\/11 in increasing order.\nAnswer: -3\/4, -6\/11, 10\/11, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7392326749 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88\/3? (a) 3\/17 (b) 7.66 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 113. Let i be -1 + (-35)\/j*-3. Factor -i + 0*h + 2\/5*h**2.\nAnswer: 2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 0. Let p be o\/(-3) - -6 - 2. Suppose 4 = 2*s - p, 5*w + 38015 = 3*s. What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -f + 3*f. Suppose -84*s + 13*s = 33*s - 312. Solve f*d - d = s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2787 - 191?\nAnswer: -2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/253 + -48\/253. Which is the third biggest value? (a) -0.4 (b) f (c) -4 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i**3 + 2*i**3 + 68*i**3)*(-4*i + 4*i + i).\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 3. Suppose -5*k - 2 = 8. Let w be y(k). Let b(s) = -s**2 + 12*s - 8. Let t be b(12). Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3662 divided by -2.\nAnswer: -1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 467*v**2 - 21*v + 211. Let x(a) = -267*a**2 + 11*a - 106. Let w(c) = -4*i(c) - 7*x(c). What is w(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u**3 + 2*u**3 - 14*u**3)*(4*u**2 + 3*u**2 - 3*u**2 + (3*u**2 - 3*u**2 + u**2)*(-2 - 2 + 3)).\nAnswer: -72*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c1ab1 - 4?\nAnswer: -c1ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36057 (base 9) to base 5.\nAnswer: 1232414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2. Let v(g) be the third derivative of 299*g**4\/24 + g**3\/3 - 6824*g**2. What is v(y(x))?\nAnswer: 897*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r + 4117 - 1477 = 0. What is the lowest common multiple of r and 688?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*f - 5. Suppose -q + 69 = f*b - 225, q + 2 = 0. What are the prime factors of b?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 381*i**4 - 943*i**2 + 943*i**2 + 21*i + 847*i**4 wrt i?\nAnswer: 14736*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpimmmrirrifmrrr. What is prob of sequence pm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Suppose s*z - 99 = 141. What is the highest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-454993)\/(-4389) + 4\/(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 17*h - 7. Let a(f) = -f**2 + 6*f - 6. Let m be a(3). Calculate the remainder when p(m) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 6, a: 2, o: 1, z: 2}. What is prob of sequence oz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 4:32 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25\/2? (a) 369 (b) -54\/7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 2*h**2 - 2*h - 1. Let t be 9*-1*(4 + -3). Let i be (t\/6)\/(3\/(-4)). Determine w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*15\/(-70)*275\/150\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -498 + 132*a + 498 to d + c*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2430004*y**4 + y**2 - 1731880.\nAnswer: 58320096*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205 and 943.\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-7 + 1))\/(2\/14). Let z = b + -102\/7. Calculate the common denominator of z and 39\/736.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, h: 2, j: 5, k: 1}. Give prob of picking 3 j and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:07 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 6, -99, 0.3 in ascending order.\nAnswer: -99, 0.3, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0 + 1\/160*m**6 - 1\/12*m**7 + 1\/12*m**5 + 0*m + 0*m**3 - 1\/24*m**4 - 7\/192*m**8 + 2*m**2. Find n such that l(n) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 2686292?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 607693 or 607680?\nAnswer: 607693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -453 + 465. Suppose 7*m = -w*m + 3705. What is the highest common divisor of 45 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (54 - 91 - 52)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03879*-0.0344.\nAnswer: -0.001334376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + 1)*-2 - sqrt(108)) + (sqrt(108) + -1 + sqrt(108))*5)**2.\nAnswer: -588*sqrt(3) + 5341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, p: 3, l: 7}. Give prob of picking 1 f and 1 l.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -870.6 + 871. Let u = -6 + 16. Which is the nearest to u? (a) -0.5 (b) -1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70.57 - -71. Let b = -0.09 + x. Let t = b + -0.04. What is the biggest value in t, -2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8243 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16281, 62904, 140609, 249396, 389265, 560216, 762249?\n\"Answer: 15541*d**2 + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72066487, -72066491, -72066497, -72066505, -72066515, -72066527, -72066541?\n\"Answer: -z**2 - z - 72066485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppcpppcpppc. What is prob of sequence pcc?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 + 0.7. Let i = z + 15.59. Let u = i + -16. Which is smaller: 3\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0, -7, 5 in decreasing order.\nAnswer: 5, 0, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.04079 minutes to microseconds.\nAnswer: 4562447400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -245*k + 8815. Determine p(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*a - 0 - 96 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6901*k + 6901*k - 1514*k**3.\nAnswer: -1514*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.778135l?\nAnswer: 4778.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2232000 = -2*b - 10*b. Round b to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 20*x**2 - 49*x + 79. Calculate the remainder when q(23) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1017 and 27496177?\nAnswer: 247465593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/70)\/(12\/84). Factor 2\/5*l**2 + 0*l**3 + 0*l + 0 - c*l**4.\nAnswer: -2*l**2*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 + 3*x**3\/2 - 17*x**2. Let f(c) be the first derivative of g(c). Let z(d) = -7*d**2. What is z(f(v))?\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, l: 4, o: 5, h: 4}. Give prob of sequence kl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d + 1713902 + 1713941 - 3427843.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-15\/7)\/b)\/b**4)\/(b*(b\/b**(2\/9))\/b*b*b*b\/b**(-20)*b*b*b*b) assuming b is positive.\nAnswer: b**(-2200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16373 from 16042238.\nAnswer: 16042238.16373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 4*r = 12*v - 2048, -v + 1018 = -5*r. Suppose -5*m + 1977 = 207. Let c = v - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 364.99405 + -365. Round v to 4 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2923602227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(5292\/(-808)) - ((-91)\/39 - (-28)\/28).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/6 + 2\/(-3). Let r = 682 + -1856. Is (9 - 7)*r\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1, x: 3, u: 4, s: 2}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-21*(2\/22)\/(282\/4653).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 + 60*f + 9. Let a be x(-10). Let w(q) = 4542*q - 5. Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/128*4)\/(1\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 14. Let j be q(-7). Let y be (8\/(-3) - -2)\/(j\/(-21)). Let b(u) = -2*u**2 - 2*u + 0*u**3 - 3*u**3 - 1 - 3*u**3. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*i - 91 + 2547 = -3302 - 2308 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278476833.\nAnswer: 2713, 471241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5175)\/5980)\/(12\/(-52))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 24. Does 26 divide ((-11)\/x)\/((-3)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52, 645, 1816, 3565?\n\"Answer: 289*c**2 - 274*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15749026*d**4*y**2 + 2*d**4 - 67*d**2 + 527*d*y**2 - 26*y**2 wrt d?\nAnswer: -377976624*d*y**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 17. Let d = g - 15. Which is the third smallest value? (a) d (b) -2\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 142*g + 24. Let f(n) = 571*n + 94. What is -4*f(m) + 15*x(m)?\nAnswer: -154*m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.2 (c) -1\/10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*h + 21*h - 21 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74716, -149404, -224092?\nAnswer: -298780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 531*m**2 + 17821*m + 36. Let x be n(-36). Solve 3\/2*p + x + 3\/4*p**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/4)\/(-1)*(-363)\/132?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*o**2 - 894*o**2 + 15*o**3 + 262*o**2 + 366*o**2.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 9.9, 2\/9, 9, 3.\nAnswer: 2\/17, 2\/9, 3, 9, 9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 3. Let f be (-10)\/j + (-18)\/(-5). Which is smaller: f or 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-1470)\/295 + 5). Let t = b + 71. Suppose -42 + t = -15*g. Solve 0 = s - 2, 7*s - g*s = 5*z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0192 times -0.09\nAnswer: 0.001728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17445 - 139559\/8. Let y(t) be the third derivative of 0 + 0*t**5 + 1\/21*t**7 + 0*t**3 - z*t**6 - 7*t**2 + 0*t + 5\/24*t**4. Factor y(r).\nAnswer: 5*r*(r - 1)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39146 divided by -1207.\nAnswer: -39146\/1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4\/13 (c) -0.04 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141.7109 micrometers to nanometers.\nAnswer: 141710.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7998 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 220*i + 3618. Is 34 a factor of h(87)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 8*w - 20. Let n be (36\/15)\/((-3)\/10). Let z be f(n). Let h = z - -105. Calculate the highest common factor of 231 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257.62 times -28.78\nAnswer: 7414.3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30*b + 2*b + 2*b**2 = 0. Calculate b.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4763.157 + 4763. Sort -1, 3, g, -1\/4.\nAnswer: -1, -1\/4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + f**2 - 2. Let z = -8 + 10. Let m be n(z). Is ((-88)\/12)\/((-4)\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 13\/2 (b) -1\/15 (c) -2\/15 (d) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 7*n**2 - 8*n - 7. Let a(q) = -q**3 + 6*q**2 + 4*q + 8. Let f be a(7). Let m = f + 7. Calculate the least common multiple of i(m) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - 2*c**4 + 10*c**2 - 10*c**2 wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/2 + 11*p**3\/6 - 2*p**2 + 294. Let l(u) = 6*u - 5. Give 5*l(o) + 2*z(o).\nAnswer: 6*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 17. Which is the second biggest value? (a) p (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let c be (2 + -1 - (-2 - 0)) + -1. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306359043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4075065 divided by 90557\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33130 + 3?\nAnswer: -33122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/116 and 16\/4553?\nAnswer: 18212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(-11) + (-2)\/(-11). Let m(g) = -5*g**2 + 6*g - 3. Let z(s) = s**2 - 6*s + 1 + 6*s. Let k(y) = a*m(y) - 6*z(y). Determine k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = -2*h, 3*h - 24 = 4*y - 2*h. Let p(a) = 4*a - 30. Let f(v) = 5*v - 31. Let o(u) = y*p(u) + 5*f(u). Determine o(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*x = -0*h + 75, 3*h = -4*x + 10. Solve 2*d - 10 = 4*m, 0 = 4*d - 5*m - h - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29134 - 29100. What is the least common multiple of 85 and y?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -117 + -114 + 126\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(125)*6)**2 - ((sqrt(125)*-3 - sqrt(125)) + 5))*-3 + -2.\nAnswer: -13487 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 15. Let l(q) = 5*q + 29. Let b(k) = -3*l(k) - 7*m(k). List the prime factors of b(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 16*x**2 + 21*x + 5. Give f(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10888*r - 10077. Give j(-1).\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 819432*w**5 + w**2 - 6*w + 622 wrt w?\nAnswer: 49165920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/65100 and 173\/60078.\nAnswer: 21027300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:48 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**8\/2352 - 3*f**7\/490 - f**6\/280 + 5*f**5\/84 + 3*f**4\/28 + 2*f**2 - 18. Solve y(w) = 0.\nAnswer: -1, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 2*s)*(-5 + 4 - 1)*(-4 + 5 + 6)*(1 + s - 1).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n + 5. Let p be a(-7). Let j = p + 47. Let b(i) = i + 1. Let q(k) = -k - 1. Let t(o) = 7*b(o) + 6*q(o). Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -15 - (26 - 3) - -13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -576121, -26.\nAnswer: -576121, -26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(358\/76*-19).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-12) - (-63)\/12. Let i = -60 - -61.96. Let l = -0.04 - i. Which is the closest to -1? (a) h (b) l (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24614 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.298072 < -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22321 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11552, -23063, -34574, -46085, -57596, -69107?\n\"Answer: -11511*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -112?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 27 (c) -655\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-9)\/(108\/208) - (-10)\/30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -500, -769, -1040, -1313?\nAnswer: -1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455 - 455.27. Let r = 22 - 22.17. Let z = r - y. Which is the nearest to 1? (a) z (b) 0.3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42636500.\nAnswer: 2, 5, 269, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 - 2*w - 1. Let p be f(-4). Let q = 8 + p. Let x = q + -89\/6. Are 0 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4318853, 4318855, 4318857?\nAnswer: 4318859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 0.2552454\nAnswer: 18.2552454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -22\/7*d**2 + 4\/3*d**3 - 1\/7*d**4 + 20\/7*d + 29. Factor t(l).\nAnswer: -4*(l - 5)*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 674724 divided by 5.\nAnswer: 674724\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x + 1. Let v(y) = 4*y**2 + 7*y + 3. Let f(i) = -3*m(i) + v(i). Suppose 5*j - 5*s - 17 = 3*j, 3*s + 35 = -5*j. Give f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.4, -3\/8, -1.006, 0.3?\nAnswer: -1.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 5*g - g**3 + 1 - 4*g**2 + 4*g. Let p be i(-3). Is 0 + p + 35 + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7022 to two decimal places.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 21*n + 6*n)*(-6*n + 20 + 3*n + n).\nAnswer: -52*n**2 + 520*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(396) + 2)*4*6*-3 - (-5 + (sqrt(396) - (sqrt(396) + 2 + -4 - sqrt(396))))*3).\nAnswer: -450*sqrt(11) - 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-30)\/(-4)))\/(((-13200)\/1600)\/((-385)\/56))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 124 = -3*a, -9*a = -7*a + o - 83. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4883221056?\nAnswer: 2, 3, 7, 3633349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 990, 1763, 2528, 3279, 4010?\n\"Answer: -f**3 + 2*f**2 + 774*f + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 47754*r - r**2 - 5 - 47745*r - 3*r**2 - 1. What is z(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (551 - 30*u - 551)*(4*u - 4*u - 2*u) + 244 - 244 + 25*u**2.\nAnswer: 85*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -7 (c) 2\/15 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 38*c + 15*c**2 + 16*c + 24*c + 1 to the form d*c + z*c**3 + s*c**2 + o and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 68 = 21*s. Find the common denominator of s - (70\/42 + (-184)\/33) and -42\/323.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/182 and 67\/312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 - 3*w - 2. What is r(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -10743 and -10813 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8 + u**3 - 4*u**3 + u as r + v*u**3 + y*u**2 + i*u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/(-25) + (-4)\/50. Which is the closest to l? (a) -1 (b) 4 (c) 5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -317 + 317. Solve 5*j - 4*j + 1 = u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 1*sqrt(1584) + -2 - (6*(-2*sqrt(396) + 1))**2).\nAnswer: -5256*sqrt(11) + 342378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*((sqrt(1300) + (sqrt(1300) - -5*-1*sqrt(1300)))*-3)**2.\nAnswer: -210602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49570636*o**2 - 88613132 wrt o?\nAnswer: 99141272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 21*d**2 - 5. Give z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19921 - 100152\/5. Let a = 109 + x. Let g = 11 + -15. What is the third biggest value in a, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:41 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/5*v**3 + 0*v - 1\/5*v**4 + 0 + 0*v**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 - -132. Let r = -213.12 + z. Round r to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652058 is divided by 162735?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**4\/4 + y**3\/3 + y**2. Let c(q) = q**3 + 11*q**2 + 9*q - 7. Let t be c(-10). Is 17 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*x**4 - 8\/5*x - 8\/5*x**3 + 12\/5*x**2 + 2\/5.\nAnswer: 2*(x - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 - 4*r**4 + 0*r**4 + (-4*r**3 + 0*r**3 + 3*r**3)*(-2 - 2*r + 2) + 0*r**4 + 12*r**4 - r**4 + (r + 2*r - 2*r)*(-4 - 2*r**3 + 4).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(-1 + 1). Suppose -29*k + 28*k + 2 = 0. Let x be ((-24)\/(-144))\/(k\/(-16)*1). Is x smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i - 15*i - 140 = -74*i. Which is the nearest to i? (a) 4 (b) 135 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17868 at most as big as -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0034 in -237, 3, -1\/4, -43?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -16*b - 17. Determine f(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61587, -123174, -184761?\n\"Answer: -61587*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-6 + 12 + -3 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1012? (a) -66 (b) 0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -100000110000100?\nAnswer: 100000101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by -90\nAnswer: -29\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 282 + -283. Let i be (21 - 16)*(-2 - o). Which is the nearest to 0.2? (a) i (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 13*y**2 - 22*y - 12. Let k be w(11). Sort 5, k, -2, -21 in descending order.\nAnswer: 5, -2, k, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/4 + 13*s**2\/4 + 15*s\/2 = 0.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-7) + (-3857)\/(-5880) and 27\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 + z**2 - 4. Let x(i) = -11*i**3 + 1464*i**2 + 16. Calculate 4*f(o) + x(o).\nAnswer: o**3 + 1468*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 14*b + 15. Let s be c(-13). Let 8*h**3 + 4\/7*h + 30\/7*h**s + 0 = 0. Calculate h.\nAnswer: -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ismmiissiiimimiihsie. Give prob of sequence eh.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.29513 centuries in years?\nAnswer: 7229.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200095063.\nAnswer: 7, 2083, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 28*p**2 - 113*p + 3. Determine z(-31).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77175*j*x**3 + 268*j*x**2 - 2*j*x - 19*x**2 wrt x.\nAnswer: 463050*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:16 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7301 = 5*i, 0 = 3*i - d + 984 - 5367. Is 86 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 4. What is n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -23. Let c = k + 37. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let a(x) = -5*x + 6. Let u(k) = -a(k) - 6*d(k). Suppose 4*f + 6 = -6. Let h be u(f). Do h and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9)*m\/(m*m*m*m**3)*m\/(m*(m\/((m*m*m**8\/m)\/m)*m)\/m)*m\/(m**11\/m) assuming m is positive.\nAnswer: m**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-14)*2\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 240793\nAnswer: 48158.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/220)\/(72\/(-396))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 0*h**2 + 2*h**2)*((3 + 0 - 2)*(4*h - 2*h + 2*h) + (2*h - 5*h - 8*h)*(-1 + 2 - 2)).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + u - 1. Let g be w(1). Let c(v) = -v - v + v**g + 3*v - 2*v. Suppose -4*i - 3*l + 13 = -9, -i + 5*l - 6 = 0. Calculate c(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65940, -65985, -66060, -66165?\n\"Answer: -15*u**2 - 65925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -4, -55153, 3\/7, -0.1 in descending order.\nAnswer: 5, 3\/7, -0.1, -0.4, -4, -55153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - (15\/(-10))\/(6\/18824) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 2. Let b(l) be the first derivative of -5*l + 11\/3*l**3 + 0*l**2 + 1. Let m(i) = -2*b(i) + 5*k(i). Let j(w) = 2*w. Give m(j(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(128) - (sqrt(128) + -1*(sqrt(128) + sqrt(128) + 0) + sqrt(128)) - (sqrt(128) + 0)*-2) + -3 + sqrt(128) + sqrt(128)*3 + -1)*3)**2.\nAnswer: -2016*sqrt(2) + 56484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 792.\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let r = -4 + k. Suppose 4*c - 2 = 2*n, 0 = -3*c + 7 - 4. Sort n, 0, r in increasing order.\nAnswer: r, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9501 + -113903\/12. Find the common denominator of (-2)\/(-21)*(-6390)\/120 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooaoaooo. What is prob of sequence aoo?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3658981 divided by 3\nAnswer: -3658981\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254914938.\nAnswer: 2, 3, 1573549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/(-90) + (-2)\/18. Put 2, 5, o in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/30 - 2*y**2. Let o(n) be the first derivative of 8\/3*n**3 + 0*n**2 + 2 + 0*n. Give w(o(m)).\nAnswer: -128*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 547251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1334 and 0.049 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23095 - -462011\/20. Let v = 1747 + -48905\/28. Calculate the common denominator of v and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -79, 5 in descending order.\nAnswer: 5, 2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqb when three letters picked without replacement from nuwqbwwwwwnbuuwun?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -0.3, 9\/5 in decreasing order.\nAnswer: 16, 4, 9\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 3. Let k be (3\/9)\/(2\/12). Suppose -k*q + 12 = -4. Let o be x(q). Put -1, 5, o in descending order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 17*m - 47. Let c be n(-19). Let g = 37 - 19. Let q = g + c. What is the greatest common divisor of 45 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, 313, 1312, 3255, 6454?\nAnswer: 11221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3104 divided by 6.\nAnswer: -1552\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*n - 198 = 158, 3*s + 4*n = 231. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13739 by -1161.\nAnswer: -13739\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(5 + (-594)\/120))\/(12\/30)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 214142857\/3867 + -55377. Let a = -104381\/54138 + n. Find the common denominator of a and 3 + ((-109)\/22 - 2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 20 - 5. Let i be 2\/l*-3 - -6. What is k in 3*k**2 - 5*k**2 - 12*k - 6*k**2 + i*k**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -85. Let z(o) = 3*o + 11. Let u be z(w). Solve -19 = -3*h - 5*k + 16, -u*h - 3*k + 22 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 3\/8, -2\/35, 0.4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oss when three letters picked without replacement from souuuuuuuusussssu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 - 7*n - 1. Let j be t(5). Suppose -2*g - 6 + j = 0. Differentiate -22*p + 22*p - g*p**4 - 2 with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 100*u - 16. Let o(y) = -y**2. Determine k(o(f)).\nAnswer: 3*f**4 - 100*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 10*f**2 + 3. Let a be d(10). Let p be (0 + (-18)\/8)*-4. Solve p - a = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78634 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -96*q**2. Let i(o) = 5*o. Determine i(s(p)).\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 13, 80, 183, 322, 497?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66685.42mm?\nAnswer: 0.06668542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fclc when four letters picked without replacement from cclcfcfcclc.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194144 and 37797410?\nAnswer: 604758560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/8)\/((-2)\/(-12)). Let n = -259\/2 - -130. Which is the smallest value? (a) n (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-43))**(-19) assuming p is positive.\nAnswer: p**(-817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j**(-3)*j*j))*j*j**(-2\/3)*(j*j\/(j\/(j**(-1)\/j)*j))\/j**(-6)*j\/(j*j**(-4)*j*j*j)*j**3*(j**(2\/3)\/j)**(-43) assuming j is positive.\nAnswer: j**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 46*c - 1364 - 264 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, -58, -365, -804, -1381, -2102, -2973?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 + 3*x - 4. Let r be t(-5). Suppose -2*n = -0*n - r. Does 26 divide n + -5 + 0 + 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 0.1, 4\/7, -1, 0.02, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 7*d**2 + d**2 + 3*d**2 + 5*d**2 - d**2 - 2*d**2 - 3*d**2 + 5*d**2 + 0*d**2 + (3 - 3 - 1)*(0*d**2 - 2*d**2 + d**2) to k*d + c + t*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 405857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13223103212 - 2111?\nAnswer: -13223111323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/3 + i**3\/6 + 7*i. Find the second derivative of t(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 15*p**2 + 13*p + 27. Let c be o(14). Suppose 290 = 18*u - c*u. Calculate the remainder when u is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/(-9)) - -3. Let r = k + -5. What are the prime factors of (-1)\/(r - 24\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**3\/6 - 2*l**2 - l. Differentiate d(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*t**3 + 171*t**3 - 154*t**3 + 292*t**3.\nAnswer: 656*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143786835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566703882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/65414283 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 387 - 190 - 241 - (-4 + 1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1216) + -2*(-1 + sqrt(1216) - sqrt(1216)) + sqrt(1216))**2.\nAnswer: 160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -7*f**6\/15 + 49*f**3\/6 - 48*f + 37. Let q(w) be the first derivative of t(w). Find the second derivative of q(z) wrt z.\nAnswer: -168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + y - 1. Let d(u) = 6*u**3 - 4*u**2 + 5*u - 16. Let o(x) = d(x) + 5*t(x). Let q be o(8). What is the nearest to -1 in 1\/2, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. 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: Let t = 48 + -29. Calculate the remainder when 74 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 23*r**4 - 20*r**2 - 896*r - 16. Let p(z) = 2*z**2 + z + 2. Let a(b) = g(b) + 7*p(b). Find the second derivative of a(o) wrt o.\nAnswer: 276*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -152*b**2 + 50*b - 62524 wrt b?\nAnswer: -304*b + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, b: 4, n: 5}. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8849096 is divided by 7776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Let y = 7 - z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2932 + -0.7068. What is the nearest to 4 in 5, -6, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 13. Let t be (-4)\/10 + 24\/(-15) + 4. Which is the closest to -2\/7? (a) y (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:50 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, e: 1, m: 2, j: 1, v: 1}. What is prob of sequence vjg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 33*v**2 + 77*v + 261. What is j(-35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1638)\/(-238) - 4\/(-34). Let c be (-40)\/(-16)*154\/k. What is the highest common divisor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 124\/(-5))\/(2\/15). Suppose -44*w + a = -40*w. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 2, p: 1, n: 5, x: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 0*r - 12*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24048000 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*v - 117 + 117 + (-1 - v + 1)*(2 - 3 - 3).\nAnswer: -110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 41. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(364\/7))\/((-4)\/(-2))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - 3)\/32)\/(6\/12). What is the nearest to w in -22, 0.02, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009381 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*15)\/((-1)\/(-17)). Let n = 2807\/11 + x. Let b be (2\/8)\/(4\/(-24)). Put b, n, -1 in decreasing order.\nAnswer: n, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 50 = -15*b. Suppose k - 3*w = 14, -3*k - b = -0*k + 4*w. Solve 1 = -3*h - k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 37 - (16 - 2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(14\/6 + -3). What is the first derivative of 3*n - v*n + n - 3*n - 1 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 181*s**3 - 8638*s + 8638*s + (2 - 1 + 4)*(-3*s**3 - 2*s**3 + 3*s**3).\nAnswer: 171*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1925, 3010, -4 in decreasing order.\nAnswer: 3010, 1925, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:16 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*t**2\/2 - 704696*t - 61278.\nAnswer: (t - 61278)*(23*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 766, 1150?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = -2*m - 16, m = 2*y + 32. Let a = y + 20. Find the first derivative of -229 + 225 + 5*t**4 - t**a wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + r - 1. Let w be x(1). Let o be (-3*w)\/((-6)\/(-8)). Let m = o - -18. What is the least common multiple of m and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/360 - 7*i**5\/60 - i**4\/24 + 4*i**3\/3 + 7*i**2. Let b(m) be the first derivative of h(m). Does 5 divide b(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*i**2*k - 2316*i**2 + 5*i*k - 150*i - k + 8 wrt i.\nAnswer: 162*k - 4632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464648\/9 + 1928\/9*t + 2\/9*t**2 = 0. Calculate t.\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from {r: 17, x: 3}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 103403.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49344 by 192.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/9)\/((-5901)\/1540161)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l**(-2\/25))\/((l\/l**(4\/7))\/(l\/(l*l**(-7)\/l))) assuming l is positive.\nAnswer: l**(3667\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/56*2\/(-5). What is the closest to f in -3\/5, -3, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*n - 95*n + 187*n + (3*n + 2*n - 4*n)*(1 + 1 - 3) to the form t + a*n and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 greater than or equal to 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 21. Let m = -44 - -26. Let s be j(m). What is the fourth smallest value in -2, -0.3, -4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120 divided by -40.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 5*x**2 + 3. Let h be r(-5). Suppose h*j - 3 = 2*j - 5*u, 3 = j - 3*u. What is the smallest common multiple of 8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3627 - 1347. Suppose -g = -4*n - n. Let c = n - 317. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/4)\/((96\/(-80))\/(3\/(-5)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/2 - 5911080*d + 3494086676640.\nAnswer: 5*(d - 1182216)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = -3*c + 1360466, 3*k + 6*c = 7*c + 204067. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-740)\/(-240) - 4\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.209 less than 18.8?\nAnswer: 25.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6*a + 4 = 7*a, -3*a + 7 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 0 (b) -32 (c) -0.04 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2128)\/(-665)*((3\/(-1))\/1)\/(-3)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {q: 6, y: 1, b: 3, w: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((((g\/(g*g\/(g**(1\/8)\/g)))\/g)\/g)\/g)\/g)**(11\/7)\/(g**(-7)\/g**4) assuming g is positive.\nAnswer: g**(187\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 4, h: 5, b: 1}. Give prob of picking 1 h, 1 u, and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/10)\/((-4)\/(-10)). Suppose 4*c - 8 = 2*o, -c - i*o - 9 = 7. Solve c = 2*q - 2, 3*b - 4 + 15 = -4*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1, -2, 4 in decreasing order.\nAnswer: 35, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5\/7 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 55492094 = -2*o. Let u = o - 29958907. Suppose -5*d + 33966813 + u = 0. What is d rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:09 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2*(-5)\/((-40)\/(-12)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 - 66*x + 66*x as t*x**2 + c*x + q and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -256, 2, -128 in decreasing order.\nAnswer: 12, 2, -128, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/1 + (434\/372 - 460\/(-552)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 - 215. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -318*d**3 - 7*d + 74*d**2 + 323*d**3 - 2 - 70*d**2 as t + a*d**2 + g*d + o*d**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-806)*(-8)\/(-36)*3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 5, -1.92, -576?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248513 is divided by 49638.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.025745 - -1561.\nAnswer: 1561.025745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 1. Suppose f - 6*f - 125 = 5*m, -15 = 5*m. Let g(n) = 8*n**3 + 1 + 8 + 11*n - 7*n**3 + 2. Determine f*d(y) - 2*g(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 148?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let w(v) = 79*v**3 + 2*v**2 - 9*v - 5. Let y(k) = -5*u(k) - w(k). List the prime factors of y(-1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291.999999396 + -292. What is j rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563222208 divided by -12.\nAnswer: -46935184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 + 2*d + 1. Let a be p(-1). Let m = -1 + a. What is the remainder when 2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51\/1237 - 52654\/166995. Calculate the common denominator of 41\/25 and x.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0635 - -551.9365. Let m = -557 + f. Let v = -0.08 - -0.23. Sort m, 0, v, 0.3 in decreasing order.\nAnswer: 0.3, v, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let t = -29\/39 - -1\/13. Do t and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 8667650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -3*r**2 + 2. Let a(c) = -5*c**2 - 4. Let d(j) = 4*j**2 + 3. Let w(i) = 3*a(i) + 4*d(i). Determine p(w(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 25 = 65. Let q(o) be the third derivative of -19\/6*o**w - 6*o**2 + 0 + 5\/12*o**4 + 0*o. What is the derivative of q(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*c - 5*x, 4217*c = 4218*c - 3*x - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 746521859 to the power of 1\/2, to the nearest integer?\nAnswer: 27323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + l - 10 + 10.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 5.2. Let u = -1016368\/205 + 4958. Let g = -12\/41 - u. Which is the nearest to 0.2? (a) 1\/5 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(1008) + 4 - sqrt(1008) - sqrt(1008)) + sqrt(1008))**2 + -3)*5 + -4.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:46 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/61028 and -21\/1168?\nAnswer: 244112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 148 = -2*b, 9*m - 4*m - b - 225 = 0. Let p = 14 + -12. Suppose -p*a + a = -69. What is the greatest common factor of a and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*q - 169 - 165 - 2*q**2 + 336)*(0 + 0 - 2*q - 4*q + 3*q + 3*q + (0 + 0 + 1)*(4*q - 3*q + q)).\nAnswer: -4*q**3 - 68*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 2.9. Let f = -2.4 + w. Is f at most as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 70 - 33)*(d - 1 + 1).\nAnswer: 81*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*f - 5*z, -140*z = -3*f - 139*z + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by -1375507.\nAnswer: 226\/1375507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, r: 3}. What is prob of sequence rr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7))\/s)**(2\/21)*s**0*s*s*(s*s**(-1)*s)\/s assuming s is positive.\nAnswer: s**(290\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 212395203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/2*0 - -47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672618 is divided by 398.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*g + 192 + 27, -4*b = -4*g + 456. Calculate the smallest common multiple of g and 1332.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/14127 - 9665\/3489369. Let a be (7\/(-10))\/(1482\/(-4652)). Let x = y - a. Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -5.3. Let v = i + 3.9. Which is the second smallest value? (a) v (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s + 1. Let l be x(1). Let o be (l - -2)*(1 - 2). Let m be o - ((-2)\/1 - 0). Solve m = 2*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 983 - c?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*o**3 + 19*o**2 + 78 + 68 + 103*o**3.\nAnswer: 386*o**3 + 19*o**2 + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 27*a - 48. Let x(b) = -4*b**a - 698 + 698. Suppose 0*m = -5*m + 4*y - 7, -3*m + 4*y - 9 = 0. Give x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25028158283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -156*t + 1407. Let v be o(9). Let w(h) be the first derivative of -15\/2*h**2 + 12*h + h**v - 20. Factor w(f).\nAnswer: 3*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 33. Suppose 2*w - 16 = -t*w. Suppose -2*o - w = -8. Solve 3*k - i - i + 18 = o, 3*k + 3*i = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4\/7 + 174*o**3\/7 + 24*o**2 - 174*o\/7 - 171\/7 = 0. Calculate o.\nAnswer: -57, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 308912394, 308912393, 308912392, 308912391, 308912390, 308912389?\n\"Answer: -t + 308912395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1101 divide 19434852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 484.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.329 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 11*f + 15 = 0, 0 = 3*n - 3*f + 21. Let k = 0 + -0.1. Put 5, k, n in decreasing order.\nAnswer: 5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u**4 - 1839*u**3 - 4071*u**2 - 2445*u - 258 = 0. What is u?\nAnswer: -1, -2\/15, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by 4.\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 - 10153*o + 91458 = 0. Calculate o.\nAnswer: -10162, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r + 12*r + 14*r. Let g(z) = -28*z**2. Give g(w(v)).\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30244 - -30256. Suppose -2*q + 5*p + 14 = 0, -2*p = -q - 1 + 9. What is the lowest common multiple of f and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-211)\/(-3))\/(-1*3). Let o = t + 5329\/225. What is the common denominator of o and 41\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.51727 minutes in weeks?\nAnswer: 0.0023330625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 44*p**2 - 6*p - 15. Calculate f(3).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 73 = o, -o + 19 = -g + 42. Suppose 3*c + c = 40. Let f = g - c. Calculate the greatest common factor of f and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -552, 275, -2, -4.\nAnswer: -552, -12, -4, -2, 3, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/6 - 2*r**4\/3 + 5*r**3\/2 + 5*r**2\/3 - 22*r\/3 + 4 = 0.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*f - 28 = 0, -36*a = -35*a + 2*f - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 29*z**2 + 2*z + 27*z**2 + 214*z**2.\nAnswer: 212*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6c - 1?\nAnswer: b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 3:06 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -315 - -336. Suppose -18*c = 5*r - l*c - 150, 3*c - 120 = -4*r. Calculate the least common multiple of r and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21592692 and 154638?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 13*q**2 - 22*q + 16. Let p be f(-11). Suppose -14*u = -10*u - p. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -5.2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 6\/5, -64765, -0.1, -2, 37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from wjjjwwjwww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 15*y**3 + 28)*(-3*y**2 + 2*y**2 + 3*y**2) - 2*y**5 + y - y.\nAnswer: 28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(162)*-2)\/(sqrt(6) - (sqrt(66) - (sqrt(66) + -3*sqrt(66)))\/sqrt(11))*-5)**2.\nAnswer: -3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2)*-2 + -2 - (6*(sqrt(2) + sqrt(32) + sqrt(2)))**2 - (2*sqrt(98)*2)**2).\nAnswer: 6*sqrt(2) + 12486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -71141 (base 10) to base 13\nAnswer: -264c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 35\/4. Let q = 4 + 153. Let n = q + -167. What is the third smallest value in 4\/5, n, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117468 at least as big as -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -h + 51. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/9*(0 - 21\/14). Let v(y) = y + 2. Calculate v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256163869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oob when three letters picked without replacement from {z: 5, o: 8, b: 2, f: 4}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6438091536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -341, -581\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*z)*(-198*z - 151*z + 116*z) as q*z**2 + y + c*z and give q.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3327334379 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10381\/3 - -124693\/36. Find the common denominator of p and -73\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1998 and 113\/17838?\nAnswer: 1980018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, f: 1, v: 4, b: 7}. What is prob of sequence vf?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*o = -4*i + 335, -657 = -4*i - 3*o. Let c = -8 + 4. Let g(s) = -4*s - 1. Let m be g(c). Calculate the greatest common divisor of m and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (4 + -2 + 0 - (67 - 63)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40618044 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-160)\/(-144))\/((-476)\/(-918)))\/((-5)\/105)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8 = 26. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**7\/168 - q**5\/20 + 14*q**3\/3 + 21. Let n(l) be the third derivative of h(l). What is the second derivative of n(j) wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107518 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7130.985 millennia?\nAnswer: 85571820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 7*k**5\/5 + 61*k**4\/3 - 12*k**3 - 2*k - 66. Suppose z(u) = 0. Calculate u.\nAnswer: -9, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 73*p**3 - 1903*p**2 - 4021*p - 2046.\nAnswer: (p - 22)*(p + 1)**2*(p + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*r - 55 = 0, -3*i + 27 - 2 = r. Suppose 3*b - 5*j + 47 = 217, b - 2*j = 58. Calculate the greatest common factor of b and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9*j**2 - 5*j - 5. Let o(k) = -4*k**2 - 2*k - 2. Let v(d) = d**3 - 4*d**2 + 2*d - 6. Let y be v(4). What is y*t(n) - 5*o(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11641*z. Let n(j) = -10*j - 3. Calculate k(n(f)).\nAnswer: -116410*f - 34923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.008 - -0.052. Round k to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180001848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 34*p**2 - 4*p + 39. Let s be m(17). Let g(q) = q**2 + 36*q + 207. Let t be g(s). Solve 6 = t*l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-194)\/873)\/((-14)\/189))\/((-29)\/(-2))?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 735711.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*j - 72 = 0, 5*m + 5*j = 118 + 2. Suppose m*c + 36 = 27*c. Solve 0 = -5*a - c + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267381 is divided by 225?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**7\/70 + 3*x**6\/160 - 21*x**5\/80 + 17*x**4\/32 - 3*x**3\/8 - x**2 - 15. Let q(n) = 0. What is n?\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(((-35)\/(-2))\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (0 + -12 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*a - 7, 0 = -87187*q + 87183*q - 28 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6946 - 6939 = -5*d + h, 17*d = 4*h - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - sqrt(90)*-4)\/sqrt(9) + -1*sqrt(1210))\/(5*(sqrt(5) - ((sqrt(55)*1)\/sqrt(11) - sqrt(5)) - 4*sqrt(20)\/sqrt(4))).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 975 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -96 + (-13 + -4 - (-112 - -71))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/27 - 126\/(-81). Find x, given that 2*x + 2\/3 + l*x**2 + 2\/3*x**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-three eighths of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-132)\/352 + 34\/48. Let k be ((-3)\/5)\/(1\/(-5)). Which is the second smallest value? (a) 4 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*x**2*z**5 + x**2*z**2 - 4*x**2*z + 20*x*z**2 - x*z - 189*z**5 wrt z.\nAnswer: -540*x**2*z**2 - 11340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*g + 17 = 3*b, b - 2*g - 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d + 7. Let h = 16 - d. Let m = h - 4. Solve 0 = -2*j - 7 + 3, -m*b - 4*j = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 + 0)) + -20 + 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127920?\nAnswer: 2, 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 11*i**2 - 6*i. Let f be h(10). Let d = 70 - f. Suppose z + z = d. Solve -3*j - a - 11 = 0, -5*j + 0*j - z = 5*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245 = 214*i - 219*i. Is 260 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215 or -25488\/119?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1458794 decades to centuries.\nAnswer: 0.01458794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -4, 2 in ascending order.\nAnswer: -4, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 11. Let i(o) = 3*o - 10. Let l(d) = -3*i(d) + 2*r(d). Let q be ((-15)\/6)\/((-31)\/((-8184)\/110)). Calculate l(q).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1561861)\/(-763))\/(115\/5).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i)**(-17)\/(i**(-1\/6))**(1\/7) assuming i is positive.\nAnswer: i**(2857\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70 + (-18 - 91) - -6\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 16. Which is greater: -9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 12*c - 6. Let x be s(12). Let q be (-24)\/10*4000\/x. What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, v: 1, x: 2, s: 2}. Give prob of sequence kskx.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.77 - 20.77. Suppose -2*v = 2*k + 4, -k + 6 = -5*v - 4. What is the closest to 3 in -4, w, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 1*(-1 + 2). Suppose j + y - 19 = -3*j, -4*y = -b*j. Let m(r) = 6*r - 110. What is the remainder when m(20) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32\/25 - -11\/50. Let -3\/2*o**2 - 3\/2*o + 3\/2 + f*o**3 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + 53 + (-20 - 87)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 746*a + 265 - 129 - 136 to the form d + w*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(9\/2)*t**(1\/12)*(t*t**(-10))\/t**(-16))**4 assuming t is positive.\nAnswer: t**(139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4*z)*(4 + 1 - 2)*(-10 + 3 + 128)*(-24 + 38 + 16) as n + j*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 120750549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - i + 12, 0*i = -3*a + 4*i + 28. Let o = 1 + a. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1959304, 1959302, 1959300?\nAnswer: 1959298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0438322 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 8. Let v(w) = -w**3 - 2*w**2 - 7*w - 6. Let z be v(-4). Calculate the greatest common divisor of z and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 302, 331, 408, 557, 802, 1167?\n\"Answer: 4*w**3 + w + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-358)\/(-14) + 40980\/(-420) + 98?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + ((sqrt(40)\/sqrt(128))**2 - (sqrt(5) + sqrt(5) + (sqrt(180) - sqrt(180)*2)**2)).\nAnswer: -2875\/16 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -38, -146, -360, -716?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.12 (c) 2\/15 (d) 1.88 (e) -1 (f) 4\/3 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/(3 - (-57)\/(-12) - -2). Calculate the remainder when 63 is divided by 3*(3 + x\/18).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -972711 or -16536068\/17?\nAnswer: -16536068\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = a - 3*g - 3, -4*a - 5 = -5*g. Suppose -2*b = -5*z + 180, 4*z - 5*b - 84 - 77 = 0. Suppose a*p = -p + z. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2387, 2433, 2479, 2525, 2571?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:37 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1215*t + 712*t + 912*t)*(-47 + 63 + 59 + t) to w*t + o*t**2 + v and give w.\nAnswer: 30675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by ((-6)\/(-3) - -15) + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.690913 plus -0.00764?\nAnswer: -0.698553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**38*n**3*n**(2\/3)\/n*n)\/(((n*n*n\/n**(-1))\/n)**(1\/66)\/(n*n**5*n**(-2\/5))) assuming n is positive.\nAnswer: n**(3089\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 4*s - s)*(-7*s - 4*s + 3*s)*(10*s**2 - 16*s**2 + 4*s**2).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let r(x) = -69*x**2. Calculate t(r(v)).\nAnswer: -9522*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.45. Put 6\/11, 4, i in decreasing order.\nAnswer: 4, 6\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 385\/26 in 12, 4, 38, 3, -2\/13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 b, and 1 f when four letters picked without replacement from sbvfbbssvvs.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -198, -201, -204, -207, -210?\n\"Answer: -3*g - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -6 + 0*v**3 - 1\/480*v**6 + 1\/80*v**5 + 0*v - 1\/48*v**4 - 3*v**2. Determine i, given that f(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3976542 is divided by 242.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-54) - (-21)\/216. Let n = 2.1 - 0.1. Which is the second smallest value? (a) n (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 4*f + 5. Suppose 15 = -u + 4*u. Let p be r(u). Let j = 3 + p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 19115462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 3\/12*4. Suppose -11 - 5 = 4*v. Which is the smallest value? (a) v (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)\/(4\/2). Suppose a + b*a - 105 = 5*p, 174 = 2*a + 2*p. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(40)\/sqrt(2) - (sqrt(20) - (sqrt(320) + 0)))**2 + ((sqrt(80) - (sqrt(80) + -2 + 0) - sqrt(80)) + sqrt(80) + -1 + 0)**2.\nAnswer: 64*sqrt(5) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 7*n - 3*n + (-n + n + n)*(0 - 2 + 4))*((-2 + 1 + 2)*(-1 + 0 + 0) + 5 + 1 - 5 - 4 + 1 + 5).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120558312 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0 + 2. Suppose -a + m = -16. Solve 0 = -3*r - y - a, -r + 5*y = -3*r - 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 370*j + 5. Let n be s(2). Let z be (3*-1)\/((-5)\/n). Let i = -234 + z. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*r + 2*r - 4*r)*(1 - 2 + 0) + 1 - r - 1)*((2 - 1 - 5)*(-5 - 20 - 8) + 3 + 1 - 1) to the form n + d*r and give d.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziiiiizqbiqzbqi. Give prob of sequence iqbz.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26405\/8 - 3307. Calculate the common denominator of m and 35\/1906.\nAnswer: 7624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 3\/3)\/(1\/(-2)). What is the derivative of 6*m**2 - 7*m**w + 20*m**2 + 14 wrt m?\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((-1 + sqrt(833))*-6)**2 + sqrt(833) - (sqrt(833) + sqrt(833)*4 + 4)) + 3)*-5.\nAnswer: -750515 + 13300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(-3 + 2 - 4) - 9*p - 13*p - 11*p.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - 3)*(t**2 - 2*t + 2*t)*(-4 + 2 + 1)*(5 - 4 - 5) as i + v*t**2 + b*t and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-62)\/(-279)*6\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075445 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178431589.\nAnswer: 7, 3641461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27379455 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-35 - 13 - -26) + 4378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000807 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58741 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1055, -1061, -1079, -1115, -1175, -1265, -1391, -1559?\n\"Answer: -b**3 + b - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37.1 and 5395645012.\nAnswer: 5395645049.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (-2 - 2 + 3)*(2 + 4 - 4))*(-2*o**2 - o**2 + o**2).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/168*-140*1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b1549 (base 12) to base 11.\nAnswer: 2a8229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 2. Let o(r) = -19*r**2. Determine o(l(q)).\nAnswer: -76*q**4 + 152*q**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 269 = 3*u, -3*u + 5*d - 332 = -61. Let m = u - -113. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Suppose 24 = 3*s - 5*k, -b*s = 3*k - 0*k - 3. Suppose -2*m = -s*m + 20. What is the greatest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*t + 298 = 0, -2*q + 5*t + 117 = -38. Suppose u - q = 6*u. Let s be ((-6)\/u)\/(1\/(-10)). Sort s, -3, -2 in ascending order.\nAnswer: s, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 614554?\nAnswer: -2458216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u. Suppose u*v + 10 = 5*v. Suppose 0 = -x + v. Which is smaller: 5\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 23 = -16*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 8*b - 11*b - 84 = 0, 12*b - 13*b - 178 = -10*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 + f + 3. Let l(z) = -z**3 + 9*z**2 - 16*z - 8. Let d be l(6). Calculate the remainder when 26 is divided by o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - w + 17 = w, -w = -2. Let j = z - 8. What is the smallest common multiple of j and 2\/6 - (-11)\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82472128.40000076 + 82472130. Let o = -6 - -7.6. Let d = o - h. What is d rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:09 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 22*p**2 - 12*p - 121. Let m be f(-11). Solve -10*v + 9 = -m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -413 - 11*s**3 + 21*s**2 + 33*s**3 - 7*s**3 + 9*s**2 + 117 wrt s?\nAnswer: 45*s**2 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 62, -2, 8, 2.\nAnswer: -2, -1, 2, 8, 18, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Let p be ((-70)\/(-12))\/7*6. Suppose -p = -o*f + 5. What is the remainder when 13 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 19 = s, 2*s + 1372 = 4*q + 1346 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s - 1. Let n(m) = m + 28. What is n(i(x))?\nAnswer: -13*x + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(((l\/(l*l**(-12)))\/l)\/l)\/l*l)\/(l**15*l))\/(l**17\/l**(-4)) assuming l is positive.\nAnswer: l**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4520.449 to the nearest ten.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - 10 - (-30 + 13 + 66)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 0.5, 146?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 325 = -16*c. Let o(p) = 12*p**2 - p. What is the remainder when c is divided by o(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkfytwwkww. What is prob of sequence ywf?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*o - 132, 5*o - 3*y + 149 = -2*y. Suppose -5*f = -3*u - 10793, -5*f + 10788 = -0*f + 2*u. Let i = f + -2186. Is o smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 568152.4 milliseconds?\nAnswer: 568152400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97815\/43 + -2275. Is t at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/8 - 11355*n.\nAnswer: n*(n - 90840)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + 0 + sqrt(684))**2 + 0 + 4 + -5.\nAnswer: -24*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (0 - -2)\/((-8)\/20). Solve x*d + 0 + 4 = 0, -3*i + 6 = -3*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, j: 3}. Give prob of picking 3 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6732572 divided by -77.\nAnswer: 87436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3 + 1 + 3*c**3 - 4*c**3 - 4*c - 4*c**2 - 10. Let d be l(-4). Let h(i) = 2*i - 8*i - i**2 + 4 + 4*i + d*i. What is h(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 401 - -b2?\nAnswer: 4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r**(-19)*r**(-18)*r*r**(-17) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/20 + v**4\/8 + v**3 + 23*v**2. Factor f(r).\nAnswer: -3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 6*g + 5. Let r = 6 - 2. Suppose -5*d = 10, r*x - x - 5*d - 37 = 0. Calculate the remainder when x is divided by b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -35, 1\/6, 2.52?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*m - 101 = 181, 856 = 3*i + 4*m. Let r be (i\/(-40))\/(3\/(-10)). List the prime factors of r\/(-10)*50\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 310068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -180d461 - b?\nAnswer: -180d46c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -463 + 460. Let o(s) = -3*s + 2. Let y(r) = 2 - 3 - r - r + 4. Give g*o(l) + 2*y(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3\/3 + 10*r**2 - 26*r - 1. Suppose -3*g = -5*y - 111, -1 = -y - 5*g - 12. Let i be a(y). Let d(h) = h + 7. What is d(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 3*w + 9. Determine f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78194, 78192, 78190, 78188, 78186?\n\"Answer: -2*c + 78196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccxyccxyyxyyycyyccx. Give prob of picking 1 x and 1 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16518 - -13424?\nAnswer: 31043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879*u**2 + 4856 - 254*u**2 - 4856.\nAnswer: -1133*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*q - 83*q = 50. Put q, -37, 0, 4 in descending order.\nAnswer: 4, q, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2242 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 17 = -3*l, -151 = 5*l - 74*j + 239 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 - -5.36. What is the nearest to -2\/5 in -3\/5, 1\/3, o, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 5*t**2 + 12*t + 7. Calculate the remainder when 100 is divided by i(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 3*sqrt(19))**2 + -2.\nAnswer: -30*sqrt(19) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102211443 (base 5) to base 3\nAnswer: -210210110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5025 + 8660. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-4) - ((-6125)\/140 + 44).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (92\/(-12))\/((-536)\/264 + 2) is divided by 1\/((-519)\/87 - -6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o + 5. Suppose -3*d - 11 = -4*w - o*d, 4*w = d + 17. Solve -3*t - 2*t - 5 = w*p, 0 = -5*t + 4*p + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 5, -14 in ascending order.\nAnswer: -14, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/1189965 and -38\/8556415?\nAnswer: 179684715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -405 - -403. Let i = 10.7 - -1.3. Which is the smallest value? (a) i (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**32)**14\/((m\/(m*m\/(((m\/m**(-23)*m*m)\/m)\/m))*m)\/m**5) assuming m is positive.\nAnswer: m**(-453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 223 - (-1 - -2). Let o be w\/8 - (-5)\/20. Suppose -9*m + 15 = -4*m. Solve -2*r = 3*j - 16 + 3, -m*r - o = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 18, 2 in decreasing order.\nAnswer: 18, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*j + 2*b + 24, 5*b + 110 = 5*j. Suppose 2*a + 4*y = 6*a - 20, -5*y - j = 0. Let m(o) = 30*o - 1. What are the prime factors of m(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 19*u + 15. Let w be h(12). Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, n: 7, d: 5}. Give prob of picking 2 d and 2 n.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2848 - 2810. Sort 1, o, -2, -8 in ascending order.\nAnswer: -8, -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4\/(-10) - (-744560)\/25 - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 43. Let s(q) = 38*q + t*q - 58*q. Let c(f) = -3*f + 2. Let n(m) = 7*m - 5. Let o(z) = 5*c(z) + 2*n(z). Calculate s(o(i)).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 256266, 256267, 256268, 256269, 256270, 256271?\n\"Answer: s + 256265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.3 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -56, -2, -5, -0.4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(-13*r**3 + 15*r**3 - 103*r**5 + 15 - 13).\nAnswer: 309*r**5 - 6*r**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -3 - (2 - (7 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250877*m + 3*m**2 + 125419*m + 125433*m)*(-4*m + 0 + 1 - 3).\nAnswer: -12*m**3 + 94*m**2 + 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2018.2 + -1830. What is i rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12547040717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(72)\/sqrt(6))\/sqrt(3)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (144\/135)\/(2\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.9 - -9.1. Sort 4, 0.3, s, -0.1 in decreasing order.\nAnswer: 4, 0.3, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*k - 13*k + 99 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -319, -469, -625, -793?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*(-52)\/(-4862))\/((-1)\/(-11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2206972 bigger than -19862752\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y + 7. Let u = -13063 - -13069. Calculate r(u).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r**3 - 12*r - 12. Let g(v) = v**3 - v - 1. What is 12*g(a) - o(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) 0.57 (c) 2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let o be (-1)\/3*2\/v. Let w = -239\/3 - -79. What is the nearest to w in 2\/7, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*t = -18, 86*t - 82*t = p + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -14) + (-312)\/24*(-14575 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {w: 3, s: 6, p: 1, k: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -26*o - 235. Calculate m(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -41. Let w(j) = j + 11. Let o be w(h). Let a(r) = 8*r - 30. What are the prime factors of a(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 29 = 64 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 22 (c) -3719 (d) -16\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*-1*0. Let y be (-3 - k - -3) + 21. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q. Let p(i) be the second derivative of 31*i**4\/12 + 11*i - 6. Determine l(p(j)).\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 6839*z**2\/3 - 27374*z + 82140.\nAnswer: (z - 6)**2*(z + 13690)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*-1*(-4)\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 151665463?\nAnswer: 151665461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*z + 4648*z - 77187 - 74337 = 67804 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 14 - 4. Let n(v) = 3*v + 9 + 3*v - v**i - v - 4. What is n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 44. Let j be (y\/(-10))\/((-3)\/2). Suppose -4*c + 5 = -5*l + c, 4*c = l + 13. Calculate the highest common factor of l and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 + 51 + 57)*(-4*r - 1 + 1) + 3*r + 0 + 7 - 4 as i + j*r and give j.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/585*(54 - 49). Let t be 14\/(-16) + (-1)\/(-2). Put x, t, 1\/5, -1\/18 in decreasing order.\nAnswer: 1\/5, -1\/18, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -176015, -352044, -528045, -704018?\n\"Answer: 14*h**2 - 176071*h + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 6468\/94063 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 12. Let l = -49 - y. Solve -3*t + 8 + 6 = s, -l*t + 18 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 5*o\/4 - 1.\nAnswer: -(o - 4)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -17?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*w**5 + 2192*w wrt w.\nAnswer: -2200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 0 (b) -1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(99)*2)**2 - (5*(sqrt(275) - sqrt(11)) + 3).\nAnswer: 4*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 5*w**2 + 2*w + 4. Let d = 1 + -5. Calculate the remainder when 23 is divided by j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 2*p**2 - 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1448845 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 2276166200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 + 9.74794947073.\nAnswer: -4.25205052927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133337 is divided by 89.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 18. Solve 4*n - 13 - k = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 5*k - 5. Let h(b) be the first derivative of -4*b + 5 + 1\/4*b**4 + 2*b**2 + 0*b**3. Give 5*h(o) - 4*z(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 - 898 + 253 + 323 - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/15)\/(6\/(-10)). Let w be (-5)\/(-25) + (-220)\/(-150). Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3.5. Let r = 0.5 - g. Which is greater: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1050 - 3107?\nAnswer: -4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*q - 2994 = 1160 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trtt. What is prob of sequence ttt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*r**3 - 14*r**3 - r**2 + 2*r**2 - 2*r**2 to p + w*r + h*r**2 + u*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(1 - 4) - 44. Let t be (77\/28)\/((-2)\/i). Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -1.7. Let j = z - 1. Let n = -19\/3 + 317\/51. What is the closest to -2 in n, 0, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1859940 greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 779483.2ml?\nAnswer: 779.4832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 134. Calculate m(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(9855\/(-70))\/73.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*(4*a**2 - 6*a**2 + 0*a**2) - 3*a**3 - 9*a**3 - 2*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-848)\/265*(-5)\/(-4). Let u(f) = -203*f. Let t(m) = -68*m. What is a*u(q) + 11*t(q)?\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 0*a + 5*a)*(-2 + 4 + 3)*(-6 - 1 - 10)*(-4*a + 5*a + 0*a).\nAnswer: 255*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4557*l**2 - 9051*l**2 + 4496*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, y: 1, k: 2, f: 1, m: 1}. Give prob of sequence eyme.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2 + (-65835)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/12 - 865*c**2\/2 + 748225*c + 283. What is d in i(d) = 0?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2058127.\nAnswer: 6174381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/30 - 28*b**2. Let c(d) = 2*d**2 - 2*d**2 + 3*d**2. Give c(o(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1831600 and 38000.\nAnswer: 9158000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgggcuy. What is prob of sequence cr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*c + 26 = 0, -3*u = -0*u + 3*c - 18. Let g be 34\/2 + (-6)\/u. Factor -4*s - 4*s**4 - 12*s**2 - 16*s**3 - 10*s**3 + g*s**3.\nAnswer: -4*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 25 = 5*f. Sort 0.3, -2, -3, f in ascending order.\nAnswer: f, -3, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 42*r + 28. What is i(11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/8 - 5*q**3\/2 + q**2. Let c be b(-7). Let j be (-8)\/c + 136\/36. Solve -3*n = 5*u + 25, j*u = 4*n + 2*u + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 times -131\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -6*(-2 + ((sqrt(425) + -1*sqrt(425) - sqrt(425)) + -5 + sqrt(425))*2))**2.\nAnswer: 4757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 14*x + 14. Let r(v) = -12*v - 12. Calculate 6*j(n) + 7*r(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53397548.\nAnswer: 2, 829, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Suppose -3*n = 5*d - 4, -3*n = -4*d - 3 + 17. Let s be k(d). Let a(o) = -5 + 4 + 5*o - s*o. Let z(m) = 6*m - 6. What is 16*a(x) - 3*z(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 51. Let b be -3 - (2 - i)*8\/(-20). Let z = 54 - b. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + w - 2*w + (1 - 1 - w)*(3 - 2 - 4)*(9 - 5 + 8))*(2*w + 2*w - 3*w) to t*w**2 + g + y*w and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/45 + -4\/9. Suppose -5*b + 4*b - 1 = 0. Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 3600, -4, 5, -5 in ascending order.\nAnswer: -7, -5, -4, -2, 5, 3600","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x**2 - 2*x**2 + (x + 0 + 0)*((-1 + 4 - 1)*(4*x + x - 3*x) + 6 + x - 6).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(22\/24 - 1). Let p be 82\/5 - 24\/(-40). Let z = d + p. Solve 0 = -7*q + 3*q + 5*w + 1, 0 = -3*q - 2*w - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-i**4 - 5*i**2 + 5*i**2) + i**4 + 0*i**4 - 2*i**4 + 1 - 4*i**4 - 3 + 5*i**4 - 2*i**4 + 3*i**4 + i**4.\nAnswer: i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3637810.\nAnswer: 2, 5, 11, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9)\/d**(-1\/8)*(((d**(2\/17)\/d)\/d*d)\/d)**0)**(7\/4) assuming d is positive.\nAnswer: d**(7\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 7*k**3 + 3*k**3 + k + 18*k**3 - 2*k**4 to t*k + n*k**4 + s + p*k**2 + h*k**3 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52b3 + 294?\nAnswer: -501d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218197070774342 - 0.2.\nAnswer: -218197070774342.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95322465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20b (base 15) to base 6\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59924 is divided by 666?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*r - 42 = 28, 3*r + 62 = -5*d. Let o = 25 + d. Let a = 25 + o. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-1 - (6 + -13) - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1\/3, -0.08 in decreasing order.\nAnswer: 5, 4, -0.08, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 456?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*i + 2. Suppose 4*y + n - 8 = 4, 2*y - i = -3*n. Suppose 0 = -4*q + 3*q + y. Solve -o = o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - k - 2. Let r be f(-2). Solve 0 = 6*j - j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -1, 3, -2\/31, -2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1238577 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16 and 0.3397?\nAnswer: 16.3397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*q + 4, g + 2 = -5*q - g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -24*p + 318. What is u(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1020\/945 + (2\/(210\/(-27)) - 24\/(-60)).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397159656 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 264 (base 15) to base 3\nAnswer: 202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by -78?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 8:58 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-40))\/(90\/(-240)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/14291966 and 46\/11543511?\nAnswer: 300131286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 163*y**4\/4 + 131*y**3\/3 - 115*y**2 - 4*y. Differentiate w(l) with respect to l.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58598 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 37*a**2 - 20*a + 1146. Determine l(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2 + 4*k - 2. Suppose 3*n + 271 = 4*z, 0*z + 207 = 3*z - n. Let g = z + -74. What is v(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 3*r - 11, 9 = -r + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 7*y)*(2*y - 3 + 3)*(2*y - 2*y**2 - 2*y + (-3 - 1 + 2)*(-15*y - 4*y**2 + 15*y) + y**2 + 5*y + y**2 - 3*y).\nAnswer: -112*y**4 - 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 1216 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/31 and (-5)\/6*9\/6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 400853 + 0?\nAnswer: 400853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/3 - 128*p**3\/3 - 2048*p**2 - 211*p. Suppose o(v) = 0. Calculate v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -2 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Let c = 7 - b. Let g(l) = l**2 - l**2 + l**c. Let s(v) = -2*v**2. Calculate g(s(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 1:52 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78415*m - 78420*m, -5*x = -5*m + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {s: 3, c: 5, x: 4, p: 1}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13388741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(20\/245)\/(7\/(245\/10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -7554\nAnswer: 1\/7554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/8, 3\/4, 4, -12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 480921 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -19. Let a be -4 + (-8)\/(-2) + 6. Suppose -8*m = -a*m - y. What is the highest common divisor of m and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/13 - (2 - 512\/52). Let a be -22*-2*(3 - 1). Calculate the greatest common divisor of l and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 785*n**2 - 673*n**2 + 4*n + 2 - 5*n as w + a*n**2 + u*n and give a.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*a - 82*a - 5*b - 33, -16*a + 2*b + 28 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgtgttgtgtggg. What is prob of picking 1 g and 2 t?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287 - -682. List the prime factors of z.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 21 = -158*g + 156*g, 3*t - 27 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.9 + 191.9. Let k = q + -151.6. What is k rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*76*7\/(-280)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 137 = -53. Let t(z) = 11*z - 184. Calculate the remainder when t(24) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/147 - h**6\/35 + 3*h**5\/35 + 5*h**4\/21 - h**3 + 9*h**2\/7 + 2*h - 42. Find n, given that a(n) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00982 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 2. Let j(o) = -o + 3. Let s(x) = 2*j(x) - 3*n(x). Let a be (4\/(-2))\/((-2)\/5). Let w be s(a). Solve 0 = -4*h + p + 17, p + 13 = w*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613378 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 y when four letters picked without replacement from {m: 1, q: 1, p: 2, h: 1, w: 1, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05241387 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 3014?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 52, -18 in decreasing order.\nAnswer: 52, 5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -1 - (872 + -800).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -4. Let f = 248 - 238. Calculate the remainder when 147\/4 - 1\/b is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(20)))\/((sqrt(162) - 2*sqrt(162))*-5)*-5.\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174102?\nAnswer: 2, 3, 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.46033.\nAnswer: -0.092066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2. Let l(v) = 13*v**3 + 11*v**2 - 6*v. Let p(m) = -l(m) + 2*s(m). Solve p(a) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, 1 q, and 1 z when four letters picked without replacement from {b: 1, z: 1, s: 1, q: 2, o: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -517176, -2068555, -4654186, -8274069, -12928204, -18616591, -25339230?\n\"Answer: -517126*m**2 - m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from yuuuyuyuyy?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1540 and 3197590.\nAnswer: 44766260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence absa when four letters picked without replacement from {a: 5, s: 2, b: 2}.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -5. Let u = 50 - k. Let r(v) = 85 - 85 - 28*v - u*v. Let i(b) = 2*b**2. Calculate r(i(s)).\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 4:33 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9888c20 - -2?\nAnswer: 9888c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 156\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 2820*g - 432518. Give z(747).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 6*r**2 - 32*r**2 + 250*r**2 - 166*r**2 - 29*r**2 - 29*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9762089 - -14341128. Let w = -21279039 + c. Round w to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*k + 3709 - 1425 = 167*k - 13232 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + -44 + 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 20*n**5 - 15*n**5 + 6*n**3 - 15*n**4.\nAnswer: 5*n**3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5\/7 - 3168*u**4\/7 + 1749609*u**3\/7 + 3508710*u**2\/7 + 250848*u = 0. Calculate u.\nAnswer: -1456, -1, 0, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 11}. What is prob of picking 1 t and 1 x?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 661986?\nAnswer: 1323972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 83 - 263 + b + 15*b**3 + 441 - 261.\nAnswer: 15*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 27 = j, 29*t - 2*j - 149 = 24*t. Calculate the lowest common multiple of t and 56.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12860 + 18*q - 38557 + 12846 + 12851.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-35) + 46\/10. Suppose -3*a - o*l = -22, 0 = -4*a + l + 3*l + 40. Solve 3*i = -a, 4*i + 9 = -k - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.350186 - 1.3354. Round s to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3987.351636 to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s - 132*s**2 + 1 - 21*s - 1 as g*s + u*s**2 + w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 53, 57, 61, 65, 69?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185692 is divided by 291?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let u(o) = o**3 + 19*o**2 - o - 20. Let t be u(-19). Let p(k) = -k + 2. Suppose x = -2*x + 5*q + 22, -25 = 5*q. Calculate t*d(n) + x*p(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1348 + 1410. Solve 9*d + p - 26 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 4130*g + 92345.\nAnswer: 5*(g - 803)*(g - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 7*j - 6. Let z(f) = f**3 + f + 1. Let c(k) = -o(k) - 3*z(k). What is c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -8*l**3\/3 - 25*l**2\/2 + 16*l + 2. Let u be j(-4). Calculate the highest common divisor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from wwowoow.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*i = -8 - 0, 1 = 2*u + 5*i. Let f = u - -10. Solve -f*j - j = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*n - 218, 5*n = -v + 4*n + 115. Find the third derivative of 10*a**2 + 17*a**2 - a**6 - v*a**3 + 121*a**3 - a**6 wrt a.\nAnswer: -240*a**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1176, -9668, -32778, -77814, -152084?\n\"Answer: -1218*d**3 - d**2 + 37*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*q + 19*q**2 - 17*q**2 + 46*q + 3 to the form w + l*q + s*q**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 947.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 41733952*h - 108857671846144 = 0. Calculate h.\nAnswer: 5216744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or -89?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide (-6 - -4) + (-13014)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2)\/(-3)*(-102)\/(-272)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmymydvmvmmymvy. What is prob of picking 1 m, 1 d, and 1 v?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-109)\/327*(-1 - 2). What is the nearest to 0.29 in 0.4, -1\/2, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.265 to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16013 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 64081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1342142224?\nAnswer: -1342142223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -3*p + 3*k, 3*p + 4*k - 61 = 42. Calculate the remainder when p is divided by (8\/(-4))\/(4\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 89921*h + 3327076. Calculate k(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.480683 rounded to three decimal places?\nAnswer: 0.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 15)\/3 - -3. Suppose -q = -0*q - h. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (2 + (-3 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Suppose -4*f = -9*f - 3*m + 559, c*f - m - 341 = 0. Suppose f + 67 = 5*s. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63722.7 or -5\/117?\nAnswer: -63722.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0 - 4. Suppose 0 = -4*d - y*s + 208, 5*d + 3*s - 2*s = 240. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641 is divided by 275?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/78 + -19*10\/65. Let z(j) = -3*j - 7. Determine z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k = -39*k - 23*k + 45007561. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 7*x - 4. Let o be y(8). Solve 3*a + 6 = 5*t - 0, -6 = -o*a + 2*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 2 f when four letters picked without replacement from ffffffjuujf.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 11 (b) -4\/19 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1006 times 215.9\nAnswer: 217195.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b - 32 + 38*b**3 + 6*b + 3*b**2 - 88*b**3 + 49*b**3. Let u be h(4). Solve -5 = u*y + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3399140021?\nAnswer: 17, 199949413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-4) + -1 + 15. Which is smaller: w or 68\/7?\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/w**(2\/7))\/w*w*w*((w\/w**(-2\/13))\/w*w)\/w)**(-29) assuming w is positive.\nAnswer: w**(-10208\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10000020 + -1431?\nAnswer: -10002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.639457 milliseconds?\nAnswer: 4639.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 = m + 5*l, 3*m + 2*l - 72 = 0. Calculate the greatest common divisor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 124, 108\/35, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1212 and 3646260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49844 + 93326. What is z rounded to the nearest one hundred?\nAnswer: 43500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6204 + 7393. What is the greatest common divisor of 369 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001621 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 0, -4, -98140, -5 in decreasing order.\nAnswer: 0, -4, -5, -111, -98140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*c**5*l**2 + 2469*c**3*l**2 - 16*c*l**2 + 3*c*l + 5*c + 62*l**2 - 5 wrt c.\nAnswer: -1740*c**3*l**2 + 14814*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1845\/13 and -142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2776 is divided by 392?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-21)\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 28?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 299981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535*-0.3.\nAnswer: 160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 42 = -4*p + 1123, 3*p = -h + 1079. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 974264 and 4871318\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -26441, 18 in descending order.\nAnswer: 56, 18, -26441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 235738, 471556, 707374, 943192?\n\"Answer: 235818*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 462\/(-693)*27\/12*76\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -13. Let k = w - 3. Is ((-2)\/k)\/((-2)\/(-133)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 * -72.9.\nAnswer: -5540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 154192?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89092 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(10*o - 27*o - 27*o) + (-3 - 1 + 6)*(3*o - 4*o + 2*o) + 8*o + 5*o - 6*o + 5*o - 4*o + 4*o to the form z*o + w and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**9)\/l**0*(l\/(l*l**(-10)))**(3\/19) assuming l is positive.\nAnswer: l**(220\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/12 + v**3\/6 + v**2\/2 + v - 11. Let m(o) = -5*o**3 - 5*o**2 + 10*o - 15. Let a(i) = 5*k(i) + m(i). Factor a(q).\nAnswer: -5*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 + a**2 - 2*a - 3. Let w be l(-1). Let r(d) = -5*d + 6 + 2*d + 4*d. Determine r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let v(m) be the third derivative of 1645*m**4\/6 + 2913*m**2. Give v(t(b)).\nAnswer: -6580*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 3*k + 7. What is t(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 at least 398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 900748081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmml when four letters picked without replacement from mzvlmzbp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 95267 = 3*l, -5*j - 3*l - 47629 = -7*j. Let y = j - 37729. What is y rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:34 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -8363*k**2\/2 + 7682*k + 4832. Differentiate x(a) with respect to a.\nAnswer: -8363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119540.5 minutes in days?\nAnswer: 1471.903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 51635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7166, -14971, -22704, -30329, -37810?\nAnswer: -45111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10742101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-10) - (-45)\/75. Let k = s - 3. Let v be (3 + 0)*(-40)\/k. Calculate the greatest common divisor of 90 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 618*g**2 - 7*g + 8. Let h be o(2). Suppose 0 = 18*c - 3600 - h. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16305*p**2 - 21519*p**2 - 3317*p**2.\nAnswer: -41141*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**5 + 24*k**4 + 37*k**3 + 20*k**2 + 4*k. Let o(b) = -17*b**5 + 121*b**4 + 183*b**3 + 100*b**2 + 22*b. Let q(h) = 33*i(h) - 6*o(h). Factor q(w).\nAnswer: 3*w**2*(w + 1)**2*(w + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 10870632.\nAnswer: -1\/2717658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -26*t**2 - 31*t + 1. Let u(j) = -131*j**2 - 156*j + 6. Determine -11*k(b) + 2*u(b).\nAnswer: 24*b**2 + 29*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 24*g - 107. Calculate f(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -18 - (-3 + 4)) + 49 + -44.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-652)\/201305*-195*(-1)\/2*1?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + 5*1*sqrt(153)))\/sqrt(9))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 - 707 = -2*b. Let v(w) = 2*w - 5. Let p(u) = u - 2. Determine b*v(m) - 10*p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.175 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = r + 3, 0 = -5*o - 2*r - 10. Suppose o = -4*i + 83 + 41. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15421 + -8002. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.081 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 5*m - 26565, l = 4*m + 8848. Suppose -5*y - l = -4*t - y, -2 = -y. Suppose t = 2*a - 4321. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4537 divided by 1.\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164572 + -164570. Solve 34\/3*o - 289\/3 - 1\/3*o**k = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.327374355 - 196.327491955. Let w = -196 - v. Round w to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 53*s - 36. What is the hundreds digit of u(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, -3, -2\/19, 13, -0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62.2 times 33\nAnswer: -2052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2 - -1 - (-9)\/6. Suppose -5 = -3*p - 5*r - x, 9 = 4*p + 3*r. Which is the biggest value? (a) 2 (b) p (c) -2\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*z - 6, -4 = i - 2*z - 3. Suppose 0 = -3*k + 3*q + 3, -k - i*q - 5 = -2*k. Suppose 3*x - 156 + 6 = k. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*l - 907 + 1298 + 2513 = 0 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 506*s\/9 - 3920\/9.\nAnswer: -2*(s - 245)*(s - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3)*a)**(2\/125)*a\/((a*(a*(a*a**(-1\/9))\/a)\/a*a)\/a)*a**21)**24 assuming a is positive.\nAnswer: a**(190384\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)*z**(2\/57)*(z**(-2)\/z)**(-17\/2) assuming z is positive.\nAnswer: z**(14327\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 129. Let q be 11\/1 - 3\/(-6)*4. Suppose -5*m - 15 = 0, 3*u + q - 73 = 5*m. What is the remainder when w is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 7) to base 13.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30362\/4352659 + -32\/4443. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 676 + 4?\nAnswer: 67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76037\/5 or 15207?\nAnswer: 76037\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.119?\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.2, 7\/99 in descending order.\nAnswer: 16, 7\/99, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 - -1.1. Let p = h - 4.99995. Round p to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -182597879784 and 17?\nAnswer: 182597879801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -424625*g**5 + 11928*g**2 - 3*g + 1?\nAnswer: -25477500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + r + 45 = 0, 73*s - 2*r - 42 = 69*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -1\/8*n**4 - 1\/2*n**5 - 1\/120*n**6 + 0 + 38*n**2 + 0*n - 12*n**3. What is the units digit of o(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.096 + -0.096. What is the nearest to q in 2\/7, 5\/2, 4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4.5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - 3. Suppose -2*o + 6 = -2*d, 3 = o - 2*d - 0*d. What is the remainder when o is divided by (-1)\/(v\/(-4)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9)*225\/50)\/(264\/1276).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7142, -17431, -34578, -58583?\n\"Answer: -3429*y**2 - 2*y - 3711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 58*k**2 - 203*k - 70. Let l be f(-25). Which is the nearest to 2? (a) l (b) 2 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3195911424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177754 and 3294?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 4*2\/4. Suppose -3*l = -6*l + 2*a - 1, 0 = x*l - 3*a + 3. Solve -4*z = 20, 0 = 2*g - z - l*z - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 1120436.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/5 - i**5\/20 + i**4\/12 - i**3\/2 + 14*i**2. What are the prime factors of c(2)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.3205ng to milligrams.\nAnswer: 0.0009783205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/495)\/((-132)\/(-10))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45\/4 + 163\/28. Calculate the common denominator of d and (-6 - (-135)\/18) + 100\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245402661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*w = 20, -4*w - 3 = 9. Let i be (-18)\/10*a\/(-1). Solve 0 = -4*m - 5*o - i, -2*m + 2 = -0*m - 4*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**3\/6 - m**2\/2 - 2*m + 1. Let t(j) be the first derivative of x(j). Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*o = -2*o + 9, -3*o = 2*i - 3. Is 1 + i - -132 - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6. Let h = 9 + -2. Let z = h + -7.1. What is the nearest to x in -4, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.2 and 127699872.6?\nAnswer: 127699868.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-10) - (-3)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:08 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*t + 7 = 0, 3*t - 6 + 1 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295673 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 18*y + 2. Let n be u(-9). Suppose -160 = 2*r - 5*r - n*g, -r = 4*g - 50. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1605 - -1610. Solve -3*x - t = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-248))\/((1\/(-1))\/(-52)). Let p = r + -1993\/248. What is the common denominator of 27 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*h + 215 = 112*h - j, 0 = 3*h - j - 98 - 31 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21.95429kg?\nAnswer: 21954290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - (-464)\/18. Let p = 11 - h. Let l be p\/(-10) - (-2)\/2. What is the closest to -1 in -1, l, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45993*k - 28616 = -46577*k for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 5*u - 63. Let f(v) = -2*v**2 - 11*v + 128. Let r(t) = -5*f(t) - 9*m(t). Determine r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 - 6*x + 5. Give j(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**3 - 10*v - 3 + 5*v + 5*v in the form l*v + c*v**3 + x*v**2 + p and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*i**3*j**2*n - i**3*j*n**2 - 98*i**3*j + 2*i**2*j**2 - i**2*n**2 - 2*i*j**2*n**2 - 4*i*j**2*n + 28*n wrt i?\nAnswer: 222*j**2*n - 6*j*n**2 - 588*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -1 - (-3 - 7) - 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b5afe (base 16) in base 5?\nAnswer: 142303230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 - 4*j + 3. Calculate g(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*p - 44 - 24 - 50.\nAnswer: -1036*p - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from pccp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13*q - 8*q - q)*(1 - 3 + 0)*(1 - 4 + 1) + 1 - q - 1)*(q - 5*q + 3*q).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1021574\/3 bigger than -340525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -104, 11, 0.4, -5, 1\/2135?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2. Let b(z) = 3*z**2. Let q(t) = 6*b(t) - 5*w(t). Let c be (-318)\/(-42) - (-8)\/(-14). Let r(p) = -c*p - 9*p + 13*p. Calculate q(r(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 521308203 - 521308209.10000138. Let y = -6.1 - s. What is y rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/23 not equal to -0.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 733553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 5 + -1 + 1 + -44 + (-53 - -114)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2396 - 5?\nAnswer: -2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p**1*(p*p**3)\/p*p**0 assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuruuuuuuuruu. Give prob of sequence ruur.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 39*s + 2. Let h be v(-39). What are the prime factors of (428\/h)\/(63\/126)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.8 + 44. Which is the smallest value? (a) 2 (b) u (c) -0.09 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18\/21)\/((-12)\/(-105)) and 91\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13917.524 - 13941. Let p = r - 0.024. What is p rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*w**3 + 2823*w**3 + 116*w**3.\nAnswer: 3447*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 4*o**2 - 8*o - 12. What is the remainder when u(-5) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 767 = 22*v - 111, -2*v = 5*n + 43 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least -381154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29561*k**2 - 3056*k**2 + 6733*k**2 + 6820*k**2.\nAnswer: 40058*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-660)\/40)\/((-1)\/(-2))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8)\/(-12*3\/(-288))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1602, 1446, 1290, 1134, 978?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 = 21*a - 1758. What is the smallest common multiple of a and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 367.9226kg?\nAnswer: 367922600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 28 + 67 = 0. Let s = -16 + u. Suppose 3*m + 3 = -s. Sort 5, 7, m in decreasing order.\nAnswer: 7, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -4, 5, -20, -37\/447?\nAnswer: -37\/447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:04 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712202 is divided by 178043.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 1760082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3219853423966 - -0.5.\nAnswer: 3219853423966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 + -3997042260.316\nAnswer: -3997042260.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57749 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 be 3\/((-5)\/(-4) - 2). Let v = 9 + m. Let q = 39 + -24. Solve -3*g - 3 = -c, 0 = -v*c - g + 6*g + q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 722718.819 to the nearest one thousand.\nAnswer: 723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9571 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*r + 280, 252 = 3*q + q + 3*r. Calculate the highest common divisor of 12 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 47*u**2\/2 - 9*u - 5. Let f be n(3). Let y = f - 69. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58454099 greater than or equal to 58454099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 + 19?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) -5 (b) -0.3 (c) 3\/5 (d) -30 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 60*l**2 + 264*l + 272 = 0. What is l?\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*x**2 + 0*x**2 + 111*x**2.\nAnswer: 199*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1444303 - -130234?\nAnswer: 2130042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-38)*-2 - (-7 + 4 + -14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*sqrt(5) - ((sqrt(875) - sqrt(35))\/sqrt(7))**2.\nAnswer: -80 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*m - 180439, -37*a = 5*m - 35*a - 180441. What are the prime factors of m?\nAnswer: 151, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 367195?\nAnswer: -734390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -634301, -634260, -634215, -634166, -634113?\n\"Answer: 2*v**2 + 35*v - 634338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(1\/(-2)). Let q = 22 - i. Calculate the greatest common divisor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 - -2.13. Let y = g - -3. Let f = 0.6 + 0.4. Which is the second biggest value? (a) y (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 12. Let j be n(12). Suppose j = 5*s + 32 - 12, -s - 6004 = -a. Round a to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (4\/8)\/(7\/156506). Let d = 14787 + z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.2 - -7. Let g = s - -19. Let j = 1.8018 - g. What is j rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 895925743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4.048.\nAnswer: 16.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 11:09 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -23074360\nAnswer: 2999666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/2, -2\/11, 0.659?\nAnswer: 0.659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, s: 5, f: 2, q: 1, d: 5}. Give prob of picking 2 f and 1 q.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439418*b - 220345*b + 3 - 2*b**2 - 220026*b - 3.\nAnswer: -2*b**2 - 953*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 - -354. Is 44 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**2 - 4*r. Let g(d) = d**2 + d. Give -c(n) - 4*g(n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n - 77 + 1013 = -459 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/7*o**4 - 4050\/7 + 10260\/7*o - 912\/7*o**3 - 5778\/7*o**2.\nAnswer: -2*(o + 15)**2*(4*o - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 1. Let i be s(6). Suppose -j = 2*m - 38, -250 = -i*j + 3*m - 8. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -878? (a) 2 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -91 (b) 0 (c) -412577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581551.9 days to minutes.\nAnswer: 837434736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 34*a + 15*a - 531. Let s = -154 + 84. Let o = -18 - s. What is the remainder when o is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9554 * 43.\nAnswer: 410822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11728, 1\/317, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3058, -9610, -20500, -35704, -55198, -78958?\n\"Answer: 4*k**3 - 2193*k**2 - k - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45168551*y**3 - 51311007*y wrt y.\nAnswer: -271011306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 5*f - 4. Let j be c(3). Let y(s) be the third derivative of 0*s - s**j + 0 + 0*s**3 + 1\/150*s**5 - 1\/300*s**6 + 0*s**4. Factor y(n).\nAnswer: -2*n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 1. Let l be r(-1). What is the remainder when l\/(-10) + (-284)\/(-10) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, -2, 1625, 1.\nAnswer: -38, -2, -1, 1, 1625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122942876 or 122942877?\nAnswer: 122942876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -3, 8, 3 in descending order.\nAnswer: 8, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-173554)\/(-6) + 0 - 23*(-20)\/1380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1327.9529 - -1328. What is s rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10)*-1 + 6876\/10. Suppose 7*u - g = -u. List the prime factors of u.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -9.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 63*d**2 - 289*d - 57. Let v be z(58). Let g = -943\/117 - -125\/13. Is g at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.44 - 1.54. Which is the closest to l? (a) -4 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/103053130 and 37\/7826820?\nAnswer: 618318780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (335\/3)\/67*(-6)\/(-14)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9*8\/(-16))\/((-45)\/(-2700))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 730814633 and 10408.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 - 2*s - 2\/5*s**3 - 8\/5*s**2.\nAnswer: -2*(s + 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40*2*(0 + 1). Let h = 5 + 5. What is the highest common divisor of a and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.2, 0.1, 4\/9, -2, 5, 101 in decreasing order.\nAnswer: 101, 5, 4\/9, 0.1, -2, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - 15. Is 8\/a + (-520)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 2.7, 0.14, 204\/11, -0.4, -0.2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-336)\/(-105))\/((-2)\/(-25)). Suppose d = 4*b - 112. Does 38 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -258413 + -5?\nAnswer: -258418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31453408 to the power of 1\/2, to the nearest integer?\nAnswer: 5608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.000019 + -10. What is t rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 8490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 1, k: 2, l: 2, q: 2}. Give prob of picking 1 l, 2 q, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 25 - 2 = 2*x - 0, 2*h - 41 = -5*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**7*r)\/r*r)\/r**7)\/(r**7\/(r\/((r*r*r**(-1)*r)\/r*r)*r)))**(-50) assuming r is positive.\nAnswer: r**950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 33*k**2 + 36*k + 304. What is the hundreds digit of f(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345910770 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 31. Let v be 74\/6 - 3\/i. Let w be (51 + -1)*(v + -11). What is the highest common divisor of 20 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 + -181. Let t be (-187)\/(-27) + n\/162. Solve -t*y = -10*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y + 64*y = 32420. What are the prime factors of y?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**(-1\/11)\/(h**(2\/15)\/(h\/h**2))*(h**(-4)*h*h*(h*h**(1\/4)*h*h)\/h*h)**(-12) assuming h is positive.\nAnswer: h**(-2692\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1870\/(-600))\/((-8)\/40) - 16?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 0) + (94 - 49) - (11 + -1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 30 = -7*x. Let i(o) = o**2 - 6*o - 2. Let t be i(x). Suppose 3*s + 0*s + 3 = 0. Sort s, -5, t in ascending order.\nAnswer: -5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10932)\/544*(-4)\/(-18). Let q = k + -19\/17. Calculate the common denominator of q and -69\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5\/2))\/(n*n\/((n*n*n**(-1\/15)*n)\/n)*n) assuming n is positive.\nAnswer: n**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3568 - 3567.25. Let q = 428.27 - 427.5200416. Let v = s - q. Round v to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 247776, 247475, 247176, 246879, 246584?\n\"Answer: w**2 - 304*w + 248079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3632340 and 1200?\nAnswer: 72646800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvx when three letters picked without replacement from apvpxpmmmvmpxx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9227600 and 2583728.\nAnswer: 64593200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -726*y**3 + 61335450*y**2 - 11151891*y\/2 + 126726.\nAnswer: -3*(y - 84484)*(22*y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 70 - 0)\/1. Calculate the greatest common divisor of 365 and o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -9*d + 6. Let 50 + 48 - 34 - 32*j + 7*j**2 - d*j**2 = 0. What is j?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665530 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7617114 divided by 2?\nAnswer: 3808557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + s = -s + 8, 4*n - 3*s = -1. Suppose 51 = p + n*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose -2*l = g*f, 0 = 3*f + 2*f + 3*l - 1. Solve 6*x - 2*x = -n + 2, -4*x - f = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 s when four letters picked without replacement from {s: 7, v: 2, b: 5, f: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Suppose -k + 2*m = -10, -12 - 3 = 5*k + 3*m. Suppose k = -i - 10*i + 33. Calculate the remainder when j is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -4, -17 in increasing order.\nAnswer: -17, -9, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -7*u + 32*u. Solve u*i + 3 = 6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.1 and 0.3?\nAnswer: -5.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134830 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-25) + 1962\/5. Suppose -9*v - q = -13*v. Let s = -30 + v. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 10 = 5*o, o = 1463*i - 1460*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 2*z = -14. Sort z, -7, 5 in increasing order.\nAnswer: -7, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106646 and 1883.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 289.393 - 287.4. Let i = -2.2299 + b. Let t = i - -0.26. What is t rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -7)\/((-4)\/4)*-1. Let p(h) = 4*h + 13. Calculate p(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and -23927.8694?\nAnswer: 23927.9294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((18\/(-4))\/(-3)). Let k be (s*-1)\/((-5)\/10). What is the third derivative of 8*n**3 + k*n**2 + 3*n**5 - 5*n**5 - 8*n**3 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4861 - -4866. Solve 0 = 2*s + 4, 0 = h*t + 5*s - 4*s + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -13*v + 10*v. Let s(p) = 0*p + 16*p + v - 8*p + 3*p**3 - 3*p - 11*p**2. Is s(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 50*t = 30*t - 741 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67102 = -43*t + 12441 + 32343. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326704118?\nAnswer: 2, 257, 6472187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1303, -2051, -2799?\n\"Answer: -748*g - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*p - 59 + 16, -100 = 5*p - 4*g. Let l = p - -29. Suppose 3*f - l = 8. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.512424mm?\nAnswer: 0.4512424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1330801*h**3 - 755145*h**2.\nAnswer: 7984806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -399*r**4\/2 + 486*r - 870. Differentiate j(d) with respect to d.\nAnswer: -2394*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17198506 and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20457 divided by 3.\nAnswer: 6819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-3 + 2 + 2)*(-1 + 1 + 1))*(242 - 242 + 41*d)*(-2 + 3 + 0).\nAnswer: 123*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -79, -237, -457, -739, -1083?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 611089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28729 is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((400\/(-900))\/((-8)\/(-3)))\/(2\/(-44))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(320)*1 - sqrt(320)) + 4 - sqrt(320)) + sqrt(320))*4)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2 - (-52)\/8. Solve 3*t = -3*u + 12, 5*u - 15 = t - n*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -24. Let v = 0.08 + -1.08. Sort g, 3, v in descending order.\nAnswer: 3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10986191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 358 - 358. Let j(n) = -6*n - 9. Let d(w) = -w. Let g(t) = -5*d(t) + j(t). What is g(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12756375 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2437111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/3 + 20836*p**2\/3 + 9048032*p + 9041088.\nAnswer: 4*(p + 1)*(p + 2604)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.403264g to kilograms.\nAnswer: 0.000403264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 22*v + 90. What is x(14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1042 or 7290\/7?\nAnswer: 7290\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 = -24. Let c be 7\/(28\/36) + -4. Put r, c, 6, -2 in decreasing order.\nAnswer: 6, c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - 0.11. Suppose -l + 5*l - 4 = 0. Let o = -0.3 - -0.2. Sort o, x, l.\nAnswer: x, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 928?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*(-18)\/60.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -641*l - 4111. Is w(-64) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) -1\/5 (c) 5 (d) 1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610530 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 - 110219*t**3 + 4506*t - 1?\nAnswer: -40*t**3 - 661314*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -d + 15. Is d != -2\/1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/17 + 50912*r**2\/17 - 4906178*r\/17 - 4957088\/17 = 0 for r.\nAnswer: -25552, -1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**2\/4 + 25394569*y\/4 + 2821619\/2.\nAnswer: -(y - 2821619)*(9*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c**2 - 3*c**2 + 6*c**2 + (c + 1 - 1)*(-2*c - 3*c + 6*c) as h*c**2 + x + q*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - 103. Let v = 16 - y. Suppose 0 = -5*r + v + 977. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -359, -817, -1437, -2207?\nAnswer: -3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3024847685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 570\/25*10\/4. Let m = g + -52. Suppose -m*x = l - 549, x + x - 216 = -4*l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 120. Let s(r) = -32*r + 1 - 24*r + a*r. Let k(t) = -2*t**2 + 4*t + 2. Let n(c) = -c - 1. Let z(p) = k(p) - 6*n(p). Calculate 10*s(w) - z(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(((-1072)\/40)\/((-8)\/(-5)))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*u + w - 574 = -0*w, -27*u + 30*u = -2*w + 133 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9800 is divided by 203?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 3)*(5 + 1 - 1)*(4 - 37*v + 27*v + 0).\nAnswer: 350*v - 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(40\/(-5))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(102)\/sqrt(6) + 1 + 3))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 15*x**3.\nAnswer: 5*x**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(3*c + 12 - 12)*(5 + 0 - 1) to the form y*c + b and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 3*x**2 - 5*x. Let a be 90\/12*(-2 - -8). Let l = a + -41. Suppose -l*p + 12 = 0, 4*f = -p - 11 - 2. Calculate h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-72167*v + 72167*v - 983*v**2) as n*v + i*v**2 + f and give i.\nAnswer: 1966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-15)*(-1)\/(-3). What is the nearest to -0.1 in u, -1\/9, 0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002733 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 14*z**2 - 20*z - 98. Give q(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*u + 4*i, i - 10 = 5*u - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4) + (-15)\/10. Let m be ((-14)\/(-1484))\/(63\/42). Is p bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40277 (base 12) in base 16?\nAnswer: 1457b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(228)\/(sqrt(24)\/sqrt(2)*-3) + -3 - -6*(sqrt(76)*-4)**2*4).\nAnswer: -sqrt(19)\/3 + 29184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 29. Let s = 7 + -6. Let v(a) = -16*a**2 - 113*a - 7. Let h be v(-7). Solve s = d - r, -t*d + 0*r + r - 7 = h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-9)\/((-135)\/10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011001 + -1011101001011?\nAnswer: -1001011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089231434 to seven dps.\nAnswer: -0.0008923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 138\/(-4)*(-6)\/9. Let r = -16 + v. What is the smallest common multiple of 4 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + g + 5, -3*p = -g - 2 - 3. Suppose -2*j + 4*w + 16 = p, 6*w - w = 3*j - 21. Let i = 45 + j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3\/4, 0.8, 1, -38?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3420\/7 + 288\/7*v - 4\/7*v**2.\nAnswer: -4*(v - 57)*(v - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 27*u**3 - 6*u**2 + 3*u - 12. Let r be a(5). Suppose -5*s = -11*s + r. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -5, -458.\nAnswer: -458, -5, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2829, -5652, -8475, -11298?\n\"Answer: -2823*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/56 - 183\/280. Which is bigger: r or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 838 - 19955 = 0. Solve 672 - p = 15*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -4*j - 5*a, 3*j + 3*a + 54 = 24. Let z be (325\/(-75))\/(3\/j). Solve -4*g + 4*w - 8 = 4, 5*g = 4*w - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/11, 219, 0.5, -48 in ascending order.\nAnswer: -48, -2\/11, -2\/13, 0.5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1016034 or -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9438, 0.4, -5, -4, 4 in ascending order.\nAnswer: -9438, -5, -4, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 + 721 = -20*d - 27*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r*(r\/r**0*r*r)\/r))**25\/(r**(1\/3)\/r*r**(-1)))**(-4))**(2\/5) assuming r is positive.\nAnswer: r**(472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldaaaltaap. What is prob of sequence al?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/68763 + -41647417\/343815. Let l = -121 - h. What is the nearest to -1\/4 in l, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*l + 8, 2*c - 14 = 3*l - 0*l. Suppose -c*t = -9 + 1. Suppose o - 5*p = -3, -o = -2*o + t*p + 3. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74754730?\nAnswer: 2, 5, 7475473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5753\/10 - 576. Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 31. Suppose -i*a - 4*y + 5871 = 0, -1173 = a - 2*a - 2*y. Find the second derivative of 1175 + 6*l - a + 22*l**2 wrt l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 7*i - 19. Let m be n(-7). Suppose 0 = 4*j - 8*j + 260. Suppose -j = -3*q + 70. What is the greatest common factor of m and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from rzfwwzrrzzzrzryff?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-280))\/((-57)\/152)*-7?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 127 = -4*k, 101025*s - 139 = 101030*s - 2*k for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7541*o - 7506*o - 27300. What is the least common multiple of o and 1820?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 14*f**2 + 18 + 16*f + 9*f**3 - 13*f**3 + 3*f**3. Let k be p(15). Let y be (55\/k)\/(2\/24). What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.162 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -101221?\nAnswer: 101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:50 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gijigggrgijj. Give prob of sequence gjir.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 5*j**4\/3 + 5*j**3\/2 - 14*j. What is the second derivative of p(q) wrt q?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17963\/27839 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52941079 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19582, 19602, 19656, 19762, 19938, 20202?\n\"Answer: 3*r**3 - r**2 + 2*r + 19578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157705*r**2 + 2 - 3938267*r**2 - 2.\nAnswer: -3780562*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, -1\/4, 1.83853?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*t + 40 = -198*t. Suppose 11*f - t*f - 525 = 0. What is the remainder when f is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 440*g + 4 - 979*g.\nAnswer: -539*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6665 and 462375?\nAnswer: 616345875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -295? (a) -7 (b) 4 (c) 866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 254 + 79. What is the remainder when a is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1079*p**5\/20 + 273*p**2 + p - 157. What is the first derivative of y(z) wrt z?\nAnswer: -3237*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120311210 (base 4) in base 15?\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8543 - -8664. Calculate the remainder when 144 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:23 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*n**2 + 9096256\/3 - 6032\/3*n = 0 for n.\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4631 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osss when four letters picked without replacement from {o: 7, s: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2741*y - 70792 = -26936 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2 (b) -7 (c) -2 (d) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28297477\/244 - -115973. Find the common denominator of -13\/244 and l.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226010.2 rounded to the nearest 100?\nAnswer: -226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/36, 3, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - (sqrt(100)*3 - sqrt(100)))\/sqrt(10))\/((sqrt(20)*-1)\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217\/6 - -36. Let l = 621 - 621. Which is the closest to 6? (a) r (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12767*c**3*d**2 - 26*c**3*d + 3037106*c**2 - 2*d**2 wrt c.\nAnswer: 76602*d**2 - 156*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:51 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 6*r + 11008*r**2 - 3*r.\nAnswer: 11008*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 578 + -212. Suppose s = 3*v - v. List the prime factors of v.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102122022 (base 3) to base 4.\nAnswer: -12320021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5, 10*p - 5*p + 239 = 3*t. Let f = t + -15. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10223024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(891)*-6 - sqrt(891)) + sqrt(891) + (sqrt(891) - (-1*sqrt(891) + -1 + sqrt(891))**2).\nAnswer: -45*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7.2. Let o = -1900 + 1818.9. Let i = o + 81. Which is the closest to i? (a) 0.08 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*r + 13*n - 7*n + 10, 6 = -3*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002632772 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*k**3*w**3 + 4243*k**3*w**2 - k**3*w + 2*k**3 + 1617*k*w + 2*k - 13*w wrt w.\nAnswer: -204*k**3*w + 8486*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llzg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115375729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1240, 2558, 3872, 5182, 6488, 7790?\nAnswer: 9088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 2. Let c(x) = 11*x + 21. Let y(o) = c(o) - 2*r(o). Let g(l) = -4*l - 8. Calculate -5*g(v) - 2*y(v).\nAnswer: 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -s - 4*s. Suppose 0 = -6*u + 9*u - 129. Calculate the lowest common multiple of u and s.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -11.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -3479*c**4\/12 - 1579*c**2 - 5*c + 444. Differentiate a(v) wrt v.\nAnswer: -6958*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(931)*2 + 5)*4 + sqrt(931)*2*-5 + 1*sqrt(931)*5))**2*4.\nAnswer: 13440*sqrt(19) + 140464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from {d: 2, y: 8, j: 5, s: 3, e: 2}.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/2, -83.7, -1 in increasing order.\nAnswer: -83.7, -1, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00241837886 to five decimal places.\nAnswer: 0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37632 - 1467566\/39. What is the common denominator of b and (-6)\/(-15) - 903\/45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 106 - 14)*(-6*a + 3*a - 2*a)*(-5*a**2 + 6*a - 6*a) - a**2 - 2*a**3 + a**2 + (0*a - a - a)*(a**2 + a - a).\nAnswer: -4229*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1565276112 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607927 and 5.\nAnswer: 3039635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1207374 rounded to four dps?\nAnswer: 0.1207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*r = 2*t + 8, r + 11 = 4*t. Suppose -34 = o - w, 0 = -5*o - 7*w + t*w - 125. Let z = o + 125. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/100, -2\/5, 2\/15, 3024, -3\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.1. Let i(y) = y**2 + 3*y + 1. Let l be i(-2). Let j = -1.8 + 1.5. What is the closest to o in l, j, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*16\/(-120)*2\/(-8)*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 0*t**3 - t**3)*(1 + 0 + 0) + 0*t**3 + 3*t**3 - 5*t**3 + t**3 + 3*t**3 - 3*t**3 + 6*t**2 + 2*t**2 - 7*t**2 + 19*t**3.\nAnswer: 17*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 - 27*v - 7. Let s(m) = 3*m**2 + 13*m + 3. Determine -3*p(o) - 7*s(o).\nAnswer: -3*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*c + 341 - 85. Let s be (c + (-8 - 1))*0. Let h be 1 + ((-123)\/122)\/1. Is h at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 + 7*s + 8. Let w(x) = 1 + 3*x + 6*x - 4*x - 4*x - x**3. Calculate r(q) - 6*w(q).\nAnswer: 2*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 2*s + 5. Determine g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110021112220 (base 3) to base 10.\nAnswer: 773142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 43. Let x = 356 - 315. Suppose x*q - c = 40*q. Solve -q = -s, 2*n - 2*s + 15 = -1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - -4.61. Let d = -2.5 + j. Which is the nearest to 0? (a) d (b) -4 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*v + 2*v = 40, 3*n + 5*v - 5 = 0. Let u(y) = -y**2 + 10*y - 3. Let o be u(n). Let s(q) = -q + 2. Give s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*u, 3*u - 4*j = -2*u. Let p = 7935 - 7932. Solve u = 5*x - 4*n + p*n + 14, 2*x - n + 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1335, -1332, -1327, -1320, -1311, -1300?\n\"Answer: i**2 - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*s - 20, t + 5*s - 5 = 5*t. What is the greatest common divisor of 135 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00128997316 to seven dps.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -12. Suppose -4*x + q = x. Let k(u) = -2*u - 3*u**2 + 3*u - 7*u - 6 + 4*u**x. Give k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*y**4 - 176*y**3 - 744*y**2 - 1280*y - 784.\nAnswer: -(y + 2)**3*(13*y + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -719 + 304. Let j = -371 - f. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 38. Let q(v) = -v**3 + v. Let j be q(-2). Suppose -j = -i - 1. Calculate the highest common divisor of a and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535 * 2.73.\nAnswer: 1460.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x + 18 = 66*x. What is the third derivative of -2*v**5 - 1 + 53*v**x + 81*v**2 + 15 - 14 wrt v?\nAnswer: -120*v**2 + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0, -7\/6, -9, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 3*m + 0*m)*(-72*m + 49*m - 24*m) + (-2 - 1 + 4)*(-7*m**2 + 3*m**2 + m**2) + (-2*m - m + m)*(0 + 0 - m).\nAnswer: 93*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14140490 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748.251ng in grams?\nAnswer: 0.000002748251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + o - 76, 12*d = 7*d + 3*o + 95. Suppose -p + 5*g - 96 = -4*p, 49 = p - 4*g. Let y = p - d. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 + 11*g**3 - 24*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*j**2 + 116 - 899*j**2 - 117.\nAnswer: -1504*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34957 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.014 + -0.134. Is v not equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 81 = 21. Which is the nearest to k? (a) 0.1 (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 189852.57 months?\nAnswer: 1582.10475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*w + 11, -3*b - 5*w = -b + 11. Suppose 28 = 4*k + 3*l, -3*k + 37 = -b*l - 1. What is the least common multiple of k and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4175 = 14*c - 5547. Calculate the greatest common factor of 798 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 578*c**2*v**3 - 3*c**2 + 2*c*v**3 - 458*v**2 wrt v.\nAnswer: 3468*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -247055982 divided by 1?\nAnswer: -247055982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m. Let c(a) = 40*a. Determine 8*b(n) + 3*c(n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39318ad + 2?\nAnswer: 39318b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 50 + 57 - 81*l - 180 + 52. Let j(g) = 20*g + 5. What is 5*f(i) + 21*j(i)?\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12159 and 6130259.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2641 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 7*g**2 - 12*g - 2. Let d be h(-4). Let b be (d*(-3)\/18)\/(3\/279). Suppose 0 = 3*j - 8*j - 3*f - b, -1 = -j + 3*f. Which is greater: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -4*g + 80. Suppose -2*y = -2*v - 92, -y = v + 23 - g. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230893635 plus -869569?\nAnswer: 1230024066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.026, -7, 1, 0, 3\/7 in increasing order.\nAnswer: -7, -0.026, 0, 0.04, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(6 + -1 - 4). Let t(n) = -n**2 - 7*n + 2. What is t(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -20\/3*w**3 + 0 + 0*w**2 + 0*w + 2*w**4 + 2\/3*w**5 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*a**5 - 11*a**4 - 2*a**2 + 3*a - 549?\nAnswer: -14820*a**2 - 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 54*v - 922. Determine z(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - i. Let l be k(-2). Let c be (-16)\/(-40) - l\/(-5). Suppose -5*m + f + 334 = 0, -c*m + 4*f + 0*f + 264 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1080)\/252*(-3136)\/36960?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11139503 is divided by 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12551, -2251 in descending order.\nAnswer: -5, -2251, -12551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18315450.3 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166*v**2 + 23871*v - 23871*v)*(4*v + 3*v - 3*v) + (-3 - 1 + 6)*(3*v**3 - 3*v**2 + 3*v**2) to c*v + h*v**3 + l + k*v**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1457 or 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675612087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 divided by -15?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c - 36 = 0. Let x = 27 + c. Calculate the remainder when 15 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10594887 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*f + 780227, -162*f + 780263 = 5*u - 165*f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 5. Is 2 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 14850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let b(i) = 4*i. Let k = -2 + 0. Let x(l) = k*y(l) + b(l). Let t(z) = -2*z. Give t(x(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 22. Let q be s(-23). Let r be q\/((-15022)\/3004 - -4 - -1). Round r to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -13*r**4 + 892*r**5 - 10*r + 43*r**3 - 13*r**2 - 10*r**4 - 889*r**5 = 0?\nAnswer: -1\/3, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 55*i**2 + 92*i - 61. Is a(54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) 3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 39 - 1 = -5*m, -5*m = 3*a - 8. Let p be a\/10 + 76\/140. What is the third biggest value in 2, p, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4910 + 4910 - 47*t + (-3 + 3 - 5)*(2*t + t - t).\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 858.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - (-177 - (-4 - 61)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -133. Let f(l) = -l + 23. Let z be f(18). Solve -z*x = h - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 3*s**2 + 3*s**2 - 7*s**2. Let b(a) = a + 29. What is b(y(k))?\nAnswer: -k**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4 - 8 - 3 + 1 + 9*o. Let p(g) = g - 1. Let h(r) = 6*p(r) - z(r). Let c(d) = 13*d. Give 3*c(l) + 12*h(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383 - -380. Let z(p) = 4*p - 4. Calculate z(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -62*q**6\/15 - 125*q**2\/2 + 186*q + 136. Let h(i) be the first derivative of y(i). Differentiate h(v) wrt v.\nAnswer: -496*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752514 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 60*g**2 + 47*g + 143. Calculate c(-3).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*w - 0 - 11, 7 = -p + 4*w. Is (-1 + p)*(-40)\/10 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 4. Let s be l(-3). Let z(h) = h + 8. Let p be z(s). Factor 2\/7*y**2 - 2\/7*y + 2\/7*y**p - 2\/7.\nAnswer: 2*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1900, 7607, 17120, 30439, 47564?\nAnswer: 68495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (128361\/(-630))\/((-42)\/(-5)). Let u = -5\/882 - a. Find the common denominator of u and -15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*u = -27, -k - 15 = -2*k + u. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (6 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + 0.5. Let z = -8 + x. Let v = -2 - -1.5. Sort -0.4, v, z in descending order.\nAnswer: -0.4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**21\/g)\/g*g*g)**9)**(-3\/16))**(2\/31) assuming g is positive.\nAnswer: g**(-621\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 86 - 97)*(5 - 5 + 4*m)*(-2*m**2 + 2 - 2) + 2*m**3 - 3*m**3 - m**3.\nAnswer: 1054*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-504)\/(-35))\/9)\/1)\/(14\/10).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/((-2145)\/22) + (-1426)\/(-26). What is the greatest common divisor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/90 + (-12496)\/(-99). Solve 71*g = 92*g + x for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274134 and 7939638?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190535 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwmqqwmwem. Give prob of picking 2 q, 1 e, and 1 m.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 - w**4\/12 - 3*w**2 + 37*w. Let l be v(-2). Let z be l\/6 + (-80)\/(-15) + -7. Which is smaller: -2\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -3*p**2 + 0*p + 1\/24*p**4 + 1\/10*p**5 + 3\/40*p**6 + 0 + 0*p**3. Suppose b(l) = 0. What is l?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205740645 and 3190.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -14. Suppose -i + f = 3*i. Differentiate -5 + 3 + a**2 + a**i - 1 with respect to a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 2*d + 2. Let n be u(-5). What is the units digit of (-75)\/(-12) - n\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 9. Let t be m(-10). Let j = t - -15. Let l = -2 + j. Solve -l*d - 7 = 3, 4*x - d - 17 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-321)\/(-856)*(-20)\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 1632288.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 22 = 3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.136 and 480601.\nAnswer: 480600.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 6*h + 2. Suppose 6*t + 13 = -5. Let m be r(t). Suppose m*w + 49 - 409 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1414020 = -4*p, 2*p - 565610 = -22*z + 24*z. What is z rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:28 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 1, f: 5, v: 1, x: 5, w: 1}. Give prob of sequence yxf.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - (-3 - (-4 + 6))) + -22 + 7 + 3\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*i - 5*u + 39, 0 = 24*i - u + 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11180.\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 - 398*g**2 + 5750*g + 1593750 = 0?\nAnswer: -51, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142609 is divided by 2089?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*f + 3*f. Find the second derivative of -5*z**f + 0*z - 7*z - 2*z**2 wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -15. Suppose 3*u - 2*u = d. What is the highest common factor of u and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 5, 0.5, -1.4, 0, 2\/39?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*k - 1288 + 41*k**2 + 1288.\nAnswer: 41*k**2 + 104*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83299657717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*8)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -187688 + 437?\nAnswer: -187251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 6*x - 13. What is a(12)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 - 3) - -3. Let z(q) = -1 + 92*q**3 + 2*q + 3 - 3 + 0. Calculate the remainder when z(m) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4 - 2*d**3 + d**3 + 0 - 5*d**2 - 4*d. Let x be p(-4). Let z(q) = 232499*q + 4. Let f be z(x). What is f rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(1\/3)*o)\/o))**(31\/3))**(-17) assuming o is positive.\nAnswer: o**(-1054\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-1)\/(-2)). Let k = -23042 + 23042. Solve -s - 2 - f = k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 5:05 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f - 10*f - 2*q - 544 + 444, -645 = 3*f + 10*q + q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**5\/60 - 5*f**4\/24 + 2*f**3\/3 + 11. Let h(g) be the third derivative of t(g). Calculate h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-5))\/((-21)\/(-105)). Which is the biggest value? (a) 8 (b) u (c) 0.2 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-10 - -4)) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*u = 14, -p = -4*p + 3*u + 18. Suppose -3*k = -4*q + 80, 6*q - p*q = -5*k + 48. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527512?\nAnswer: 2, 233, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -138*p. Let v be 18*(-1)\/(-4) + (-15)\/(-10). Let q(x) = 31*x - 17. Let y(c) = 11*c - 6. Let z(j) = v*q(j) - 17*y(j). What is r(z(s))?\nAnswer: 138*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - u = -15*r, 0 = 3*r - u + 2. Calculate the lowest common multiple of 114 and (-186)\/(-18) - r\/(-6).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 + 2*j + 1. Let g(c) = 14*c**2 + 5*c + 4. Let t(r) = -2*r + 4. Let q be t(5). Let m(n) = q*g(n) + 17*p(n). What is the units digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 5:29 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-16) - 7\/(-4). Solve -2*a**2 - 7 - 4*a + 3 + c = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-10 + 3 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 15 = -6*n. Suppose i + 22 = -4*x, -i + 23 = -4*x + n. Let d(y) = 2*y + 6. Calculate d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 32*f**3 - 60*f**2 - 13*f - 6. Calculate j(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 15*i**2 + 18*i**2 - 92 - 20*i**2.\nAnswer: 13*i**2 - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/5, -4\/17, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73939 is divided by 1296.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*r**2 - 7 + 370*r**2 - 294*r**2 + 615*r**2 to c*r + i + k*r**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -710.2363 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 427*r + 427*r. Let f(q) = -19*q. What is f(k(d))?\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 2*u + (-1 - 2 + 2)*(-u + 3*u - 3*u)*(2 - 3 - 1)*(2 + 4 - 3).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:27 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2047 and 7387?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/3)*h*h)\/h*h*(h\/((h\/(h\/(h*h*h**(-13)\/h*h*h)))\/h*h))\/h)\/(h**(-1))**(-31) assuming h is positive.\nAnswer: h**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(756))\/(2*sqrt(192)).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1894 - -1899. Let d = 5 - 2. Let n(u) = u**2 - 4. Let v be n(d). Is l greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + 53*d**3 + 41 - 50*d**3 + 14 + d**2 to the form j + m*d + n*d**2 + p*d**3 and give j.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -265*(-51)\/12750*-50\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-2*2)\/sqrt(8).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 114*m + 8. Is 24 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.966 - -6.366. Let n = 0.5 - 0.3. Which is the nearest to w? (a) 0 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 30*j - 10*j to the form q*j + h and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h. Let g(q) = 180*q**3 - 165*q**2 - 165*q. Determine 330*b(x) + 2*g(x).\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 277056719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -396585*p**2. Let n(x) = 6*x. Calculate j(n(f)).\nAnswer: -14277060*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48814735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.96181 - 0.03819. Which is the second smallest value? (a) -0.3 (b) 41 (c) l (d) 0.05 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23153945?\nAnswer: 5, 4630789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 81460.\nAnswer: 81459.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 53175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 86 = -2*w, 163*j + 129 = 3*w + 162*j. Solve -33*i = -w*i + 90 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 6*k + 6. Determine q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779 = -2*b + 1545. What is the least common multiple of 111600\/6820 + 18\/11 and b?\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 964206 and 349554?\nAnswer: 143666694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**2\/2 - 2*d + 3. Let j(y) be the first derivative of 2\/3*y**3 + 0*y - 12 + 0*y**2. Calculate j(c(f)).\nAnswer: 2*f**2 - 8*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5092 - -35645\/7. What is the second biggest value in r, -117, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 552051.8 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d + 15*d + 20*d)*(2 - 5 + 5)*(-166 + 166 - 7*d).\nAnswer: -294*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -24*d**3 - d**2 - 5*d - 5. Let b be k(-1). Let z = 0 - -24. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 11. Let o be a(4). Let k(v) = -5*v**2 - 2*v - 3. Let t be k(o). Let w be 7\/t + 237\/18. Is w less than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:22 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264 + -173. What is the remainder when v is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + q - 65 = 0, 0 = -5*g - 4*q + q + 160. Let h = 2 - 1. Suppose g + h = 3*f. Solve 4*j + f = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 240?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -39058?\nAnswer: -39058.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*m + 11916 = -112*m. List the prime factors of m.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2227 - 765 + 22*y - 836 - 774.\nAnswer: 22*y - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:53 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(-33))\/(1\/3). Which is the nearest to t? (a) -0.4 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**(-13)*g))\/g*g))**(-46)*g**(2\/39)\/g**1)**32 assuming g is positive.\nAnswer: g**(687712\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 4*i**2 - 2*i**2)*(3*i + 0*i - 5*i) + (4*i - i - 4*i)*(-5*i + 5*i - 2*i**2).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/190739689 or 0?\nAnswer: 1\/190739689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (2*sqrt(475))**2 + ((sqrt(19) + 0)*-6 - sqrt(2299)*-1))*-4.\nAnswer: -22812 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42746350, 85492700, 128239050, 170985400, 213731750?\n\"Answer: 42746350*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwew when four letters picked without replacement from {w: 2, b: 14, e: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 1173, 2642, 4697, 7338, 10565?\nAnswer: 14378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -339a - -1?\nAnswer: -3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 - -191. Let w = -664 + m. Is w > -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169341 is divided by 17979?\nAnswer: 7530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose h*l = -3*l - 20. Let p be (-19)\/21 + 1\/3. Which is the biggest value? (a) p (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((16408\/1092 - 27) + (-12)\/(-1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -1012. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 1. Let t(j) = 16*j + 18. Let z(k) = 24*k + 36. Let i be z(15). Suppose -7*o + i = 4*o. Calculate o*u(c) + 2*t(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2486*v - 10694*v + 592179 = 10889*v - 1357410 for v.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x**(-1\/7)\/x*(x**0)**24)**13 assuming x is positive.\nAnswer: x**(-650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-18) + (-910)\/(-90). Let n(h) = -h**2 + 11*h - 10. Let k be n(r). Solve 2*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 46.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, h: 6, i: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 6*w**3 - 2*w**3 + (-1 - 2*w + 1)*(-2*w**2 - 2 + 2) - 6*w + 2 + w**3 - w + 5*w to the form j*w**3 + l*w**2 + x + o*w and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -172 + -d2?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 36*k**2 + 2*k + 170. What is a(-36)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1000011 (base 2) to base 8\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77572 (base 10) to base 6\nAnswer: 1355044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 - 403?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + d + 25 = 0, -4*n + d = 3*d - 34. Let y be ((-418)\/n)\/(48\/(-632)). Let h = 919 - y. What is the common denominator of 119\/10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 7*h**4\/24 - 2*h**3\/3 - 2*h**2 + 7*h. Let d(f) be the first derivative of t(f). What is the derivative of d(w) wrt w?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32833060 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -411*z + 2640*z + 5245*z to d*z + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/(-28) - -2)\/(1\/(-7)). What is the hundreds digit of -1 + -3 - (-187 + x\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 9 = 7*f + 2*t, -18 = -3*f - 5*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/30*-3*-5*(-32)\/760?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = 0. Let s = -52.1 + 3.6. Let b = s - -48. What is the third biggest value in b, g, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*24\/(-144)*(15\/4)\/(-5). Solve -31 = -5*z - x*i, 25*z - 22*z = -5*i + 11 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*m**4 + 45*m**3 - 32*m**2 + 4*m.\nAnswer: m*(m + 1)*(9*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 113*k + 188. What is i(-115)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 + 11*q**2 + 62*q - 121. Is f(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 5. Suppose 4*v = o*v. Suppose v = 4*z - 42 - 54. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(1612\/1066) - (-350)\/(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (1 - 1)\/(-1). Suppose -3*d = -a*d + 4*o - 24, -4*o + 44 = -2*d. Let r = d + 29. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17002*w**5 - 2*w**4 - w**3 + 41042*w**2 wrt w.\nAnswer: 1020120*w**2 - 48*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 0, -15, -46, -99, -180, -295?\n\"Answer: -d**3 + d**2 - d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -213*i + 2382. Calculate the smallest common multiple of 66 and u(6).\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*r - 9*n**3 - 2776*n**2*r + 14*n**2 + 48371*n*r + n + 4*r wrt n.\nAnswer: 6*n*r - 54*n - 5552*r + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + -2*sqrt(931) + sqrt(931) - ((sqrt(931) - (sqrt(931) + -2 + 2)) + 2).\nAnswer: -7*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227034864 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 699835203 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(((o**(-3)*o*o)\/o*o)\/o*o)\/o*o))**(1\/46)\/(o\/(o*(o*o\/(o*o**(-5\/3))*o)\/o)*o**(-3)) assuming o is positive.\nAnswer: o**(785\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2512037 and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:05 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4965 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 104600 to the nearest one thousand.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -564 + -914\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/3)*z**(-1\/4))\/((z\/(z\/(z*((((z*z**(-2\/21))\/z*z)\/z)\/z)\/z)))\/(z\/(z**(-2\/15)*z)*z)) assuming z is positive.\nAnswer: z**(1111\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 21. What is the remainder when (2\/f)\/((-7)\/1533) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3135)\/76)\/(-33))\/(825\/528).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -22.322.\nAnswer: -89.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Which is the third smallest value? (a) m (b) 6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002111 + -12?\nAnswer: -1002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d - 4*b + 20, -2*b = -10. Suppose f + 5*t = 18, d = -0*t + 3*t - 12. Let j = -2 - -1. Let z(p) = p**2 - p. Let h(i) = i. Give f*h(w) + j*z(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 1. Let g(f) be the first derivative of -3*f**4\/4 - f**3\/3 + f**2 + 4*f - 99. Calculate g(t) + 4*y(t).\nAnswer: t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4113 + -217995\/53. Let d(c) = 3*c**2 - 2*c - 6. Let y be d(-2). Suppose -y = -4*b - 5*t, 4*t = b + b + 8. Is z <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 2316 - 753 - 781 - 782.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b**2 + 7. Let y(j) = 6*j**2 - 5 + 1 + 2*j**2. What is -6*u(c) - 11*y(c)?\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**3 - 1150*t**2 + 918055*t - 53441700 = 0.\nAnswer: -579, 65, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3) + 2 - 1. Suppose b*r + r = 3. Suppose 140*z = 142*z - 8. Solve -r*g + z*g = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*y. Solve 2*r = -3*x + 4*r + y, r + 7 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 8)*(-3*g - g + 2*g)*(-g**4 + g**2 - g**4 - 2*g**2).\nAnswer: 52*g**5 + 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 116*a**2 + 230*a + 2517. Let x be s(118). Calculate the greatest common divisor of x and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802*a**2 - 369*a**2 - 429*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, 12, -129\/4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61 and -0.018.\nAnswer: -61.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -22 (b) -3 (c) -20\/3 (d) -0.01 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 4*g + 23, 5*x = -5*g - 60. Let w be 2 + 1*(g + 1). Suppose 20 = 5*k - 5. Sort k, w, -5.\nAnswer: -5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ca02 (base 15) to base 11\nAnswer: 2a136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -731545*s**3*u**3 - 68*s**3*u + 3*s**2*u**2 + 21842*s*u wrt u?\nAnswer: -4389270*s**3*u + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -31*g - 859. Calculate v(-23).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9835980 and 210.\nAnswer: 9835980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -126. Suppose 2*c + 13 = 5*f, 1706*c - 2*f = 1704*c + 8. What is the second derivative of 26*p**3 + 11 + v*p - 20*p - c wrt p?\nAnswer: 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*n + 24. Let l be 8\/(-28) + (-262)\/14. Let f = n - l. Which is greater: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 - a - 12. Let w be n(6). Let z(b) = -b**2 - 7*b + 2. Let p be z(-7). What is the highest common divisor of p and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26974079 is divided by 5057?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c - 1512 = 30*c. Let z = c + -122. Factor 0 - z*r**2 - 8\/3*r + 4\/3*r**4 + 0*r**3.\nAnswer: 4*r*(r - 2)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43627684 = -100*g - 16213184. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 29025844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -3, -2*r - 36 = -5*d. Suppose z + 4*u = -u + d, 5*z = u + 118. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21105*y. Let b(x) = -3*x - 1. Give b(n(u)).\nAnswer: 63315*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 4213.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/19)*o*o**(-2)\/o)\/(o\/o**0)**44*o**(2\/9)\/(((o\/o**(1\/2)*o*o*o)\/o)\/o)*o**2\/(o\/o**(-1)*o) assuming o is positive.\nAnswer: o**(-16133\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(7\/28). Suppose -4*q - 3*v - 577 = 0, -2*v = -q - j*q - 420. Let u = -92 - q. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5347 - -5367. Suppose 210 = 4*w + 3*r, -r + 3*r + 274 = 5*w. What is the remainder when w is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -28412.9?\nAnswer: -2841.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**10\/k)\/k)\/(k\/k**(-2\/37)))\/(k**(2\/13))**(-2\/9) assuming k is positive.\nAnswer: k**(34546\/4329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -20895360 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let x be z(2). Suppose -87*n + 92*n = -y + 3, 3*y - 9 = 0. Is 7 a factor of 39 - (-3)\/x - n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290\/21 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 33*y + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**2 + 12*s + 12. Let c(a) = -a - 1. Determine -60*c(n) - 5*q(n).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 5 + (75 - 98) + -25.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -84*k**2 + 3. Let g(a) = 2*a. Determine g(j(f)).\nAnswer: -168*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, 0.755, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -98*w + 65. Let t(l) = 1716*l - 1144. Let a(v) = 88*q(v) + 5*t(v). Let c(b) = -7*b**2. Give a(c(f)).\nAnswer: 308*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330*v**2 - 19321145*v - 1463725.\nAnswer: 5*(v - 58549)*(66*v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 96*n**2. Does 33 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1368 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -24*l**2. Let v(d) = 4*d - 57. Let o be v(15). Let x(m) = -129 + 129 - o*m - m. Calculate x(b(c)).\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-1560)\/(-1092)*(-4)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 2. Let c(v) = 2*v + 3. Let j(w) = -4*c(w) - 6*u(w). Let h(p) = -68*p. Let k(x) = 168*x. Let i(m) = -12*h(m) - 5*k(m). Give j(i(g)).\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11 - 3*z**2 + 4*z**2 - 2 - z. Suppose -5*o + 20 = -2*k, 3*k = -0*k + 5*o - 20. Let x be q(k). What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = 2*v. Suppose 0 = q + 2*j, 4*q + 2*j = -j + 20. Let r = 4 + q. What is the greatest common divisor of v and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 1 - 1)*(1 - 17*p + 6*p + 6*p).\nAnswer: -5*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.5*-156481.\nAnswer: 3990265.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-44) + (-1036)\/(-11) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + -16 - (0 + 96). Let d = f + 107. What is the highest common divisor of d and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1425)*-4 + sqrt(1425) + 5*(sqrt(1425)*1 + sqrt(1425)))\/((sqrt(294) + 2*sqrt(294) + sqrt(6))\/(sqrt(6)\/sqrt(3)*6)).\nAnswer: 285*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose a*k - 2 = 20. Suppose -2*w + 4*f + 170 = 0, 0 = 2*w - w + 3*f - 65. What is the highest common factor of w and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 7 (c) -2\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v - 34. Let g(p) = p + 1. What is -102*g(w) - 3*s(w)?\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 10, d: 6}. Give prob of sequence qq.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -47. Let l = d + 45. Solve -2*v + 2*a - l = -0*v, 0 = -4*v - 3*a - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1332 and 79\/888?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -168245 divided by -3\nAnswer: 168245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -91460 divided by 1345\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15\/1573 (b) -78 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:57 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/1186424?\nAnswer: 3\/1186424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5950145*q + 827140?\nAnswer: 5950145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1227)\/(-644) - 2\/7. Let t = s - -3\/23. What is the common denominator of -119\/20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4873693 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -125728645\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3303 + -5?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26438625 divided by 5287725?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-14)\/p)**37\/(p**(-25)\/(p*(p**(-6)\/p)\/p)) assuming p is positive.\nAnswer: p**(-537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*g**5 + 1040165*g**2 + 219089414*g wrt g.\nAnswer: -680*g**3 + 2080330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 2*a + 268 = 0, -a + 1 = 0. Suppose -51 = -11*u - 50 + 65. Calculate the highest common factor of u and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392 and 4350?\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -538.2896 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 2*w**2 + 3*w**3 - 4*w**3 + 5*w**4 + 14 as y*w**2 + x*w**3 + i*w**4 + l + b*w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 20. Solve n = 2*c - 3, n + 0*n + 9 = m*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/((-6)\/(-282)). What is the smallest value in 1, -3\/7, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3 - 15*l + 12*l to s*l + v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141364 is divided by 289?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 8 + 4*i**2 - 4 + 1.\nAnswer: 4*i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4647811.61 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from xxtxtlttl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/5)\/((-2)\/10). Let a(y) = -17*y + 2. Let q be a(-3). Suppose -p = 5*f - 3*c - 26, -q = -4*f - 5*c. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 - 2*m**2 + 5*m + 7. Determine n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(28\/7)\/(40\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**3 - 52*b**2 - 18*b.\nAnswer: 2*b*(b - 9)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(19\/19)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -141 in decreasing order.\nAnswer: 3, 2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((190\/(-6))\/5*-3).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 48*d = 53*d - 58, 3*c = -5*d + 62 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 15 + 2 + 9 + 62*o + 0.\nAnswer: 62*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 22*d - 3660. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/30 + h**4\/6 + h**3 - 59*h**2\/2 - 97*h. Let a(u) be the first derivative of y(u). Factor a(b).\nAnswer: -2*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13*s - 36 = 8*s, 3*s - 26 = -m. Let l(g) be the first derivative of -2*g**3\/3 + 11*g**2 + 8*g + 1. Let j be l(m). Which is bigger: 2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, j: 9}. Give prob of sequence jjjj.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 3*q - 3*q + (0*q + 4*q - 7*q)*(-4 + 4 + 2).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30368847 and 9554244.\nAnswer: 850327716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*z + 360 = 2*z, -3*z = 0. Factor -93 + 15*y**3 + 3*y**4 + 21*y - j + 27*y**2 + 189.\nAnswer: 3*(y + 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -13. Let y = 38 + h. What is the remainder when 56 is divided by 422\/y + (-4)\/22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/15 - (-33)\/36. Let x(p) = p**3 + 4*p**2 + 2*p. Let a be x(-2). Put c, 2, a in descending order.\nAnswer: a, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose 4*r + 4*v + 20 = 0, 4*r + 2*v - 5 = 5*r. Let d = r - -3. Sort s, -1\/3, d.\nAnswer: d, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 871 = 592 + 529 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 + -249. Let z be y\/(-6)*(-46)\/69*-1. Suppose -4*c - 8 = -3*f, f - 40 = -2*f - 4*c. Solve 0 = -z*k + 7*k + f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2*v**3\/3 + 4. Let m(r) = -9*r + 17. Let q(s) = -3*s + 6. Let o(g) = 6*m(g) - 17*q(g). Give n(o(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783*x = -784*x - 3. What is the fourth smallest value in 44\/5, x, 2, -1?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:51 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166837 at most as big as 166835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 98 = -12*h, -437*z = 454*z - 893*z - 4 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1586 and 23\/4758.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/787?\nAnswer: -3\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((6\/16)\/(-3)). Solve 0 = y*i - 23*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*d - 276 = 2*y, 0 = 3*y - d + 203. Let m = y - -71. Suppose -7*b + 6 = -8*b + m*r, -3*b - 4*r = -21. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -7*z**5\/20 - 10*z**3\/3 - 7*z**2. Differentiate a(u) wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -36 - (-2 + 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48669, -48661, -48679, -48735, -48841, -49009, -49251?\nAnswer: -49579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49766 divided by 298.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -252, -523, -796, -1071?\n\"Answer: -z**2 - 268*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*h - 1 = h, 2*h - 2 = 4*a. Let t = a - -7. Suppose t*l - 27 = 3*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -57*a**3 + 28*a**2 + 80*a + 18. Is h(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -52, 0, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43450 (base 6) to base 13\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l - 3 = 0. List the prime factors of 10*(l - (-42)\/4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, c: 2, b: 1, r: 4, u: 1}. Give prob of sequence cuc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 107*c**3 + 2*c**2 + 4*c. Let g(w) = w**3 + 2*w**2 - 7*w + 3. Let d be g(2). Is u(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (15 - 13 - 19) - (0 - 7)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -57295343.\nAnswer: -1\/57295343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*f**4 - f**3*m - 188*f**2*m + 27*f + 638*m wrt f?\nAnswer: -372*f**2 - 6*f*m - 376*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1 - (-26313)\/(-26297)). Let u = j - 3281. Calculate the common denominator of -29\/11 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 8594052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, k: 1, p: 1, o: 2, n: 3}. Give prob of sequence kknn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7514597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**4 - 1 + 1)*(0 - 1 + 3) - 4*g**4 + 9*g**4 + g**4 + 3 to d + h*g**2 + s*g**3 + b*g**4 + z*g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 17, 50, 107, 194, 317, 482?\n\"Answer: g**3 + 3*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 129, 286, 551, 960?\n\"Answer: 6*f**3 + 43*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -643 or -644?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 5*c - 63 = 0. Let b(o) = -71*o - 79*o + 3*o**2 + 151*o - c*o**2. Calculate b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8355700 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(-1 + 2 + -5 + sqrt(34)\/sqrt(2)) + -2 + 0)**2.\nAnswer: -60*sqrt(17) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29607713 - 29607713 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402435500?\nAnswer: 2, 5, 41, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/1794 + (2 - (-234)\/(-108)) and 53\/322?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(152))\/(6*sqrt(648)).\nAnswer: 5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17103 = 510*u - 4508 + 4768 + 6607 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/13 - 1204*g\/13 - 181202\/13 = 0. Calculate g.\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-23)\/(r**(-1\/34)\/r*r) assuming r is positive.\nAnswer: r**(-781\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14694.\nAnswer: 2, 3, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -7\/60*u**6 + 0*u - 1\/10*u**5 + 0*u**4 - 2\/105*u**7 - 114*u**2 + 0 + 0*u**3. Factor m(s).\nAnswer: -2*s**2*(s + 3)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(168))\/sqrt(12)*6)\/(sqrt(14)\/(sqrt(500)\/sqrt(10))).\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 174. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**7\/42 - 7*y**5\/20 + y**4\/2 - 69*y. Let t(a) = 0. What is a?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42434 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 59. Suppose 5*a = -6*h + 2*h + k, -4*a + 28 = 4*h. Let c = a + -4. Solve 5 = 4*u + 5*z, -2*u = c*u + 2*z - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.06 (c) 19.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1. Let a = 0.6 - 0.8. Sort 0.3, a, w in decreasing order.\nAnswer: 0.3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i**2 + 1. Let z(o) = -36 - 4*o**2 + 10*o**3 - 51 - o + 82. What is 5*v(p) + z(p)?\nAnswer: 5*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 + 5*k - 38)*(-3*k + 3*k + 2*k**2) + 17*k**3 - 26*k**3 - 32*k**3 + (-k + 3*k - k)*(2*k - k**2 - 2*k) as u*k**2 + h + j*k + t*k**3 and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + (-221)\/(13 - 26). Suppose 45 + 221 = 2*u. Let r = u - 91. What is the highest common factor of r and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15496.\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*y**4 + 3741*y**3 - 4392*y**2 - 8076*y - 192 = 0 for y.\nAnswer: -16, -1, -2\/83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -408948 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -404 + 1261. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*v = -521*v - 455 - 889 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1757657 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 278, 612, 1080, 1682, 2418, 3288?\nAnswer: 4292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 74*v - 1325. What is the least common multiple of a(18) and 118?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -6, -3*n + 3*q = q + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c**3 - 5*c**2 + 5*c**2 + 27*c**3 + 28*c**3.\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 3*c + 7*c**2 - 3*c - 8*c in the form r*c**2 + b + n*c and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 28. Let l be 3\/y + (-100)\/(-24). Let o(i) = 2*i - 3. What is o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 0, -4\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from tbtyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2517*m + 6030 = -70313 + 18452 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1340)\/60)\/(4\/6*18\/(-36)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 22. Let l be d(-24). Suppose l*g - 3*k = -17, 3*k - 45 = 5*g - 2*k. Is ((-2)\/(-4))\/(g\/(-50060)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**29)**(2\/25) assuming t is positive.\nAnswer: t**(116\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403702?\nAnswer: 2, 13, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*o + c, -23 = -0*o - 2*o - 5*c. Suppose 0 = 3*b + b - o. Solve 3*m + v + 0*v - b = 0, -2*m = 2*v - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -157*g - 14. Let q(p) = 236*p + 20. What is -5*q(h) - 7*z(h)?\nAnswer: -81*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 93708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 315?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 16 + 54 = 0. Suppose -b*k - 63668 = -163509. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5 + (-23)\/(-40))*(5 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(204)\/(sqrt(12) + (sqrt(24)\/sqrt(2) - sqrt(12))) + 0) - (0 + sqrt(2057) + 5)**2*6*-3.\nAnswer: 1986*sqrt(17) + 37446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2411, 2452, 2481, 2492, 2479, 2436?\n\"Answer: -d**3 + 48*d + 2364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2. Let v(h) be the first derivative of 0*h**2 - 2\/3*h**3 + 258 + 0*h. Determine -3*v(n) + 2*w(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 36 = -y, -8*y + 2*h + 207 = -3*y. Let u = -25 + y. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959228377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.961, -5, -4, -39, -2\/13 in decreasing order.\nAnswer: -2\/13, -1.961, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*r = -122*r - 8368. Is 39 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177002 > -177001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljfl when four letters picked without replacement from ljtfjtfytjlj?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9*g = -7*g - 38, -4*l - 4*g + 40 = 0. Solve p = l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-120))\/(-9*(-5)\/(-10125))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - 3175831516505.\nAnswer: -3175831516486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-2\/89)*((a*a\/a**(2\/5))\/a)**(-2\/17) assuming a is positive.\nAnswer: a**(-704\/7565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503223700.\nAnswer: 2, 5, 7, 383, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.056 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97.6 + -98. Sort 4, a, -2\/15, 2.\nAnswer: a, -2\/15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 95*s - 1425. What is v(-13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062*n**2 - 1062*n**2 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 109*r**2 - 2427*r - 638. Determine x(128).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-4*o + 4*o + 3*o) - 44 + 18 - o + 14 in the form u*o + l and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 286, 0, -1.\nAnswer: -29, -1, 0, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:13 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 771809373.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 443, 1432, 3329, 6428, 11023?\n\"Answer: 49*k**3 + 13*k**2 - 7*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 8*o**2 - 7*o - 8. Suppose -3*a + 3*t = -15, 0 = -7*a + 3*a + 2*t + 24. Determine c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -1484, -3341, -5952, -9323, -13460?\nAnswer: -18369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + k + 2. Let m be n(-1). Suppose -b - 2*x = -148994, -m*b + 4*x = -b - 298012. Round b to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2213808 minutes to seconds.\nAnswer: 13.282848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from voooohovxvq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*h**3)*(2*h + 3 - 3) to a*h + k + i*h**2 + w*h**3 + v*h**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3000\/144 - 2\/(-12). Let c = n + -33. Sort 3, c, -5 in increasing order.\nAnswer: c, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -24*y - 13. Let h = 82 + -79. Suppose 8 = 2*b - 2*z - 2*z, -15 = h*z. What is the hundreds digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = 103. Suppose 5*f - 65 - o = 0. Calculate the remainder when 61 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**(1\/48)\/(w*w\/(w*(w*w**(-2\/5)*w)\/w))**(5\/2)*(w**(1\/5)*w\/w**(3\/5)*w)\/(w**(-1\/4)*w)**(-33) assuming w is positive.\nAnswer: w**(507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u - 1638 = 54*u. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -3. Let o = -3496 - -10486\/3. Is q <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1042*((-3)\/10 + (-124)\/(-155)))\/(-1) is divided by 92.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 12 (c) -5 (d) 2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -28*x**3 - x**2 + x + 2. Let y be (-4 - 1) + -4 + (-16)\/(-2). Calculate c(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r + 8561 = -235*r + 25409 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12211200 - -324014?\nAnswer: 13040214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 c when three letters picked without replacement from {m: 1, c: 1, g: 1, y: 2, z: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 341 = 4*k, -2*k + g + 54 = -99. Suppose 3*c + 13 = -5*p + k, 66 = 3*c - 3*p. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*v + 29 + 835 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29806)\/(-3) + (-18)\/54. Suppose 2*q - 1987 = m, 3*q - 6*q = -5*m - g. Let b = m - -3548. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.21 - 28.21. Which is the nearest to -1? (a) j (b) 3075 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -413\/2 - -207. Let a(i) = -i - 2. Let t be a(0). What is the closest to -1\/4 in -2\/11, t, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = m. Suppose 4*v + 35 - 39 = m. What are the prime factors of (12 - 8) + 202*v?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.574163 rounded to two decimal places?\nAnswer: 342.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18288*v - 18265*v - 3*v**2 - 8*v**2 + 36553*v.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7546 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from gumggmrgr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -124.97. What is the fourth smallest value in -1\/5, t, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1489 and 5020908.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + (-21)\/28*12. Let r = a + 590. What is the highest common divisor of r and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.133 + 0.94. Let h = s + -1.18. Round h to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6738003 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22180 divided by -20.\nAnswer: -1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 181741967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 8*q + 24. Give s(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 8*a + 2. Let s be p(8). Let h be (s - 0) + -3 + 96. Calculate the greatest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 12) + (-130)\/(-40)*4. Solve 19*z = 23 - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317*r*w*z - 2*r*w + 4*r*z + 604*r - 2*w*z + w wrt z.\nAnswer: 317*r*w + 4*r - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -1.161 (c) -3 (d) 3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2)\/i)\/i**(-29) assuming i is positive.\nAnswer: i**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - ((-1)\/(-3))\/(1\/(-9)). Let n be (1 + (-10)\/x)*(-32 - 1775). Let g = -201 + n. Sort -1, g, 4.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 9 = 3*i + 4, 5*v = 5*i - 5. Let l(s) = 34*s**2 - 10*s - 4. Is l(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2071 = 4*l, -10*h + 12*h = l - 519. List the prime factors of l.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-312)\/(-14) - (-4)\/(-14). Suppose -734*l + 1716 = -682*l. Calculate the highest common factor of l and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:33 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/5*((-1080)\/(-6))\/(-36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15805455 to three dps.\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from okwooldwlolwdolodok?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 456*v - 449*v - 48 + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hmmmhmhmmmmhmm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 - 6*q + 1. Let y be a(4). Suppose -3*f - 2*f - 20 = 0. Let x be 3 - (-3 + f + -1). What is the greatest common factor of x and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5 - 39*u**4 + 58*u - 2 wrt u.\nAnswer: 60*u**3 - 468*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a**4 - 66*a - 7. Let p(v) = -5*v**4 + 22*v + 2. Let c(t) = -2*h(t) - 7*p(t). Find the second derivative of c(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 27*h = -31*h - 10, -l = 2*h + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (616\/(-144))\/11*28\/49?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/(-12)*(-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121537435 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 456 = -5*s, n - 92 = s + 2*n. Let g = 93 + s. Suppose -4*u - 370 = -2*i, -4*i - g*u + 592 = -168. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*6\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17550035.\nAnswer: 5, 17, 23, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = m - 8*m. Let o = -180 - -196. What is the least common multiple of m and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h + 206*h + 630*h - 34*h.\nAnswer: 879*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -754 in 108, 3\/7, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5623*l + 5642*l = 133 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11)\/x**(4\/7)*(x\/x**(-1\/4))**(-1\/7) assuming x is positive.\nAnswer: x**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 554 (c) -15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 1 = 3*o, -t = -2*o - 8. Let q(b) = 3*b - 2. Let k(w) = -w + 1. Suppose -8*h = 14*h + 66. Let l(u) = h*q(u) - 5*k(u). Give l(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 93 + 1 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 15*y + 42. Calculate the remainder when m(-18) is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 + 10 + -4 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 3895*u**3\/6 - 733*u**2 + u - 659. Find the first derivative of w(f) wrt f.\nAnswer: 3895","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -561*m**2 + 57*m - 15. Let x(k) = k**2 + 1. Let d(j) = -a(j) + x(j). Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 3. Let p be n(2). Let y be 2*p\/((-1)\/(-2)). Suppose y*t - 90 = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n + 162 = -65*n. Let b be (-6)\/4 + 1 - n\/(-12). Let x(h) = -6*h + 4. What is x(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75684\/(-1904))\/((-6)\/40 + 24\/(-40))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3 = 2*g, 4*u + u = -g - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 949969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyffmyfyyna. Give prob of sequence nyya.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86475725 divided by 5.\nAnswer: -17295145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 103. Let g = -28 - o. Let z be (116\/24 - 4)\/g. What is the third biggest value in z, -1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 2322670?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let o(q) = -q**3 + 4*q**2 + 7*q - 6. Let v be o(5). Let k = -2 + v. Let p(n) = n**2 - 4*n**2 + 4*n**k. Calculate p(m(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/30)\/((-1)\/15). Suppose -b*v - p = -19, v - 2 = -v + 2*p. Solve -26 = 3*o + 4*z, -v*o + 12 = -o - 4*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -26. Suppose g = -r*j + 156, 2*j = -5*g + 55 + 5. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/11683 and 29\/70.\nAnswer: 116830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(50) - 1*(sqrt(50)*-2)**2) + -2) + 5 + sqrt(200)\/(3*sqrt(324) + sqrt(324) + sqrt(4)).\nAnswer: -399 + 375*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**6\/45 - 9*z**4\/8 + 35*z**3\/3 + 27. Let n(j) be the third derivative of r(j). What is the first derivative of n(s) wrt s?\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gogg when four letters picked without replacement from {g: 6, o: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let u = 16 - 0. What is the units digit of (-30)\/(-4)*u\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 42 - 26 = 0. Let x = 11 - c. Does 18 divide (5 - -2)*(-18)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/23 - 77390*a\/23 - 3952092\/23.\nAnswer: 2*(a - 38746)*(a + 51)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 1534520679 + 11*d**2 + 1534520679.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 - s + 3. Calculate d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 5*t + 1. Let o(q) = -q**3 + 6*q**2 + 5. Let a be o(6). Calculate d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.03, 12 in increasing order.\nAnswer: 0, 0.03, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 2, g: 1, n: 10, w: 2, p: 1}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-294)\/14*(-30)\/(-45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2 - 1\/3*c**3 + 5*c**2 - 5*c. Calculate the remainder when f(6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239.97 and -2.\nAnswer: -479.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 230 - 20 = 0. What is the remainder when 247 is divided by j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssisrr. What is prob of picking 1 c and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1)*(-480)\/1400)\/(9\/14)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3579319610 - -0.4.\nAnswer: 3579319610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = 2*d. Suppose 19 = -d*f + 51. Let o = 46 - 30. What is the greatest common divisor of f and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/9 of a hour in seconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(5 + 153\/(-30)). Suppose -3*m + 4*m = 4*h - 146, l*h = -m + 178. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -373680 by 62.\nAnswer: -186840\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mysykkmksymkksmkm. Give prob of sequence mmyy.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times -6?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 8. Let b(q) = -q + 17*q**3 + 1 + 4*q**3 + 2*q**2 - q**2 + 2*q. Determine b(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvsvvsvsvbsvb. What is prob of picking 1 s and 2 v?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.1176 + -0.007. What is r rounded to one dp?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 + -2.70000035. What is l rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1954345, 1954364, 1954381, 1954396, 1954409, 1954420, 1954429?\n\"Answer: -r**2 + 22*r + 1954324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7271888767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528\/(-252) + ((-32)\/40)\/((546\/35)\/(-13)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 21. Let y be v(6). Put y, 1, 4 in descending order.\nAnswer: 4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 5, f: 3, d: 8, l: 3}. What is prob of picking 1 h and 3 f?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1020, -1059, -1152, -1323, -1596, -1995?\nAnswer: -2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 320057 = -4*q + 1183843, c = 5*q - 1079728. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 + -0.79. Which is the nearest to 0.1? (a) s (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3203.6 * -38\nAnswer: 121736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15507.4932ms in days?\nAnswer: 0.000179484875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4228968907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 234\/15 + 2\/5. Solve o = -h - 4*q, -2*h = q - 2*q - 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 2)*(-2 + 2 + 8*w).\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4 + 4 - 3. Let j(v) = -4*v - 19. Let t(y) be the first derivative of -y**2\/2 - 5*y + 2. Let h(n) = -2*j(n) + 9*t(n). Give -5*a(s) + 2*h(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l*t*v + 56*l*v - 2*t*v + 2*t + 2235*v + 2 wrt l?\nAnswer: 4*t*v + 56*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -436434.\nAnswer: -436421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -176, -350, -524, -698, -872, -1046?\n\"Answer: -174*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 4 + 8 - 33 + 21.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q. Let g(f) = -f**2 + 7*f - 1. Let x be g(6). Solve q = 4*s - 4*h, 3 = -2*h - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v + 6*v - 3 + 2 + v**2. Let j be w(6). Solve 3*k = -2*k - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 9*m**2 - m + 6. Let s be q(6). Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 383 + 255*j - 256*j)*(-j**2 + 0*j**2 + 2*j**2).\nAnswer: -j**3 + 484*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1474 and 201?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 418161911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 0*n**2 + 2*n**2 + (3*n - 3*n - 2*n)*(n - 2*n + 0*n) + 3*n**2 - 5*n**2 + 0*n**2 - 2*n**2 + 2*n**2 + 3*n**2 as o*n**2 + q + l*n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 7*o - 7. Suppose 0*v + 4*v - s = 26, -3*s - 12 = -v. What is the smallest common multiple of r(6) and v?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, -n - 4*z = -2 + 8. Suppose 2*o - n*q = 12, 16 = 4*o + q - 3*q. Sort o, -2, 0 in decreasing order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -1\/5 (c) -338091 (d) 1 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1786*16.394\nAnswer: -29279.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-120)\/(-2) - (3 + (1 - 4)). Let f = o - 51. Let y be -3 + (6\/f)\/(3\/12). Which is the closest to y? (a) -4 (b) -0.07 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dc (base 14) to base 16\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 68 - 104 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 430526*n - 13*n**2 - 430526*n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2, 23, 1, 5 in descending order.\nAnswer: 23, 5, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 220655623?\nAnswer: -220655626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v + 686. Let g be b(41). Is g <= 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084134554 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 9*q - 679. Let d be g(-31). Let n(w) = -w**3 - 5*w**2 - 2*w - 6. Let h be n(-5). Factor u**4 - 2*u**d - 3*u**h + u**4 + u**3.\nAnswer: -u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -367 and -38414470.\nAnswer: -38414837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let k be -3 + (-1 + n - -2603). What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1101*y**3 + 2207*y**3 - 1107*y**3 - 525*y**2 to the form i*y**2 + c*y**3 + d + x*y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*w**2 + 0 + 0*w**2)*(125494 - 1525*w - 125494) in the form p*w + x + a*w**3 + l*w**2 and give p.\nAnswer: -3050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8656863.\nAnswer: 3, 41, 70381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 4507.\nAnswer: -6\/4507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 12) to base 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 761953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*t + 491 + 454, n - 1575 = -5*t. Let j = t + 6. What are the prime factors of j?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 - 3*m - 7. Let i be u(3). Let h(p) = -p**3 + 4*p**2 - 3*p + 2. Determine h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*12\/(-18))\/(36 + -37). Which is the nearest to 1\/60? (a) 4 (b) p (c) 4\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/13 - 8*m**2\/13 + 42*m\/13.\nAnswer: -2*m*(m - 3)*(m + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**4 + y**4 - 4*y**3 + y**4)*((3*y - 3*y - y)*(-3 - 3 + 4) + 4 - 4 - y).\nAnswer: -y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113463*h**4 + 2457540*h**2 wrt h?\nAnswer: -2723112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2239990 + 258*x + 2239990.\nAnswer: 258*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 64\/21 (b) -1058 (c) 4 (d) 1 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-64 - -57 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u - 49. Let l be c(-4). What is the first derivative of 3*b**2 - l*b**2 + 116 + 49735*b - 104*b**4 - 49735*b wrt b?\nAnswer: -416*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gllllllggl. Give prob of sequence gggl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -762, -2577, -6102, -11907?\nAnswer: -20562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (1 + 0 + sqrt(128) - 5*(0 + sqrt(128))) + 1)**2*4.\nAnswer: -41460 + 6400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 1452*x + 4392.\nAnswer: -4*(x - 3)*(x + 366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (4 - -1)) + -25. Let k be (-2)\/8 - (2 + g\/(-8)). Let n(c) be the first derivative of c**3\/3 + 3*c**2 + 4*c - 5. Give n(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -366108, -732190, -1098272, -1464354?\n\"Answer: -366082*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + n - 28*n + (-n - 2*n + n)*(-3 + 3 + 2) + 5*n - n - 2*n - 2*n + 1 - 1 - 3*n - 3*n - n in the form w*n + z and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 - 404937840*h**2 + 404937837*h = 0. Calculate h.\nAnswer: 0, 1, 134979279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:38 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17721668 by 37.\nAnswer: 478964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 2, h: 2}. Give prob of sequence zs.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 2.8.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/(-45) + -5)\/1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1339492581+63125\nAnswer: 1339555706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813644 is divided by 406701?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-9) + 1)*(103 + -106). Which is the third biggest value? (a) 0.3 (b) u (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 343*f = 347*f + 16, -2*f = -5*g - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18937 - 18982 = -15*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001 + -11111110101111000?\nAnswer: -11111111001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5)*100\/90. Let n = 0.08 + -0.48. What is the closest to n in -5\/4, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b - 19 - 8*b - 10*b**4 - 43 + 61 - 4*b**2 as l*b + d*b**2 + k*b**4 + i + h*b**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -13) + 11 + -18 - 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**2 - 6*m**5 + 10*m**5 + 4*m**2 wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 1824598*v**2 - 7298400*v.\nAnswer: v*(v - 3649200)*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f + 0*f**2 - 1\/3*f**3 + 2. Let u(b) be the third derivative of -b**4\/24 + 8*b**2. Calculate u(s(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 700057 <= 700058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 187575780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 0, -5*s + s + 4 = -2*m. Let n = 140 - 136. What is the second derivative of -734*g**n - 2 - 37*g + 698*g**m + 2 wrt g?\nAnswer: -432*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2 + i + 9. Let y(g) = -g**2 + 5*g + 3. Let z be y(6). Is j(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:19 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777262226 to the power of 1\/2, to the nearest integer?\nAnswer: 42158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 9*l**2 - 8*l + 5. Suppose 0 = -5*y - v + 34, 2*y + 3*y - v - 36 = 0. What are the prime factors of c(y)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {c: 4, u: 3, o: 1, y: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1161, 568, -463, -1932?\n\"Answer: -219*q**2 + 64*q + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1473 - 1675 + 3964)*(i + 0*i - 2*i).\nAnswer: -816*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 - 3*d + 25. Let s(c) = -2*c**2 - c + 9. Let r(y) = -6*q(y) + 17*s(y). Calculate r(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48 + 3290403*o**3 - 3290403*o**3 + 1399*o**4 wrt o.\nAnswer: 5596*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -13) + -6 - -20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let r be ((-8)\/(-6))\/(18\/27). Suppose q*v + r*v = 0. Solve -8*o + 3*o - 20 = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -34, -118, -242, -400?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, -2, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1657*f**3 + f + 4871 - 9786 + 4915.\nAnswer: -1657*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -337.381 + 0.381. Let j = -410.4 - b. What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.048? (a) -4 (b) -3 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1195618*1.\nAnswer: 1195618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(11\/(-55))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let h(v) = -3*v. Let c(l) = -10*d(l) + 4*h(l). Let m(g) be the first derivative of -7*g**3 - 3*g - 6118. Give m(c(r)).\nAnswer: -84*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/3 (b) 8\/39 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 0*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let o(x) = 4*x**2 + 7. Let s(v) = 25*v**2 + 2*v + 43. Let w(i) = 13*o(i) - 2*s(i). What is -10*m(l) - 2*w(l)?\nAnswer: -4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:22 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -669.0816 rounded to one decimal place?\nAnswer: -669.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 + 11*c - 2580. Calculate b(-24).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*g + 44 = 2*g, 19 = -s + 5*g. Let o = 6 - 0. Let c = o - 4. Solve 25 = 2*p - s*p + 5*h, -c*h + 10 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/(12\/8). Let j = 4.96939 + 0.03061. What is the nearest to n in 0.3, j, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3352 and -1038.5.\nAnswer: 2313.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 969735*v - 35873350.\nAnswer: -5*(v - 193910)*(v - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -5*p**3\/6 - p**2\/2 + 12*p. Calculate c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11154 divided by -4\nAnswer: -5577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (909 - 944)\/(10\/(-6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-72))\/(25\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6\/5, -16, -4, -206.4 in increasing order.\nAnswer: -206.4, -16, -4, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:11 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, 20, 94, 208, 368?\n\"Answer: y**3 + 11*y**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/30 and -56\/335.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 14 - (-1 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100374.9ml to litres.\nAnswer: 100.3749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222801267?\nAnswer: 3, 13, 257, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 369234 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*p**5 + 2*p**4 - 4*p**3 - 5711*p?\nAnswer: 420*p**3 + 24*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 324, 488, 652, 816?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - f + 50 = 211, 0 = -151*m + 152*m - f - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 11*o**2 + 5*o + 1. Let n be r(9). What is the greatest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:10 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344741651*n**4 - 30473772*n?\nAnswer: 4136899812*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -32. Let q(d) = 2*d - 1. Let t be q(l). What is the common denominator of 43\/6 and t + -2*(-59)\/32?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563192 >= 1563198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9672850 divided by 215?\nAnswer: -44990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4797 by 41.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.95 times -93.1?\nAnswer: 3626.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + (-778)\/(-4). Let o = 14761\/36190 - -2\/1645. Find the common denominator of f\/224*4\/2 and o.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -12850433.\nAnswer: -5140173.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2*v**3\/3 - 5. Let q(u) = -2*u + 0 + 0 + 4*u. Calculate q(t(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9071738 + -11?\nAnswer: -9071749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3832348211?\nAnswer: 43, 89124377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91.4 - -92. Let w = r + -1.1. Put 2\/47, 0.3, w in descending order.\nAnswer: 0.3, 2\/47, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 103*b - 877. Let p be r(9). Calculate the greatest common factor of 725 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 23\/(-7)) + 84\/(896\/(-32))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 4) + -3 + -1. Let o = i - -7. Is o*233*(-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1175*q**3 - 4*q**2 + 7*q + 6. Let s(l) = -1763*l**3 + 6*l**2 - 10*l - 9. Let j(i) = 5*s(i) + 7*y(i). List the prime factors of j(-1).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247*j + 1035*j + 44870 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 3*b + 6*b + 3 - 5 - 10*b - 4*b**4 + 6 as n + h*b**2 + j*b + c*b**3 + a*b**4 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**4*y)*y**(2\/47) assuming y is positive.\nAnswer: y**(-186\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -602 + 613. Solve 24 = -d*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/28*-1*((-3906)\/(-62))\/315?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 20*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*a - 45 = 0, -36*y + a - 23 = -39*y. What is the remainder when 97 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-210)\/49 + 9)\/((-3)\/(-21)) is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -778*c**3 + 3*c**2 - 1. Let n be i(-1). What is the highest common factor of 78 and n?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310435 (base 6) in base 11?\nAnswer: 17698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -11170?\nAnswer: 11158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -14 (c) 2\/11 (d) 0.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 2. Let r(i) = -i**2 - i + 5. Let v be r(0). Let m = v - n. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2376318 and 3654?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 3*f**2 + 6*f + 7. Calculate the remainder when 179 is divided by k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 2256 = 0. Suppose -k = -5*g + g + 4*h, h = 3*g - 423. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*c*o**4 + 30*c*o**2 + 2*c*o - 1025*c + 4*o wrt o.\nAnswer: -804*c*o**2 + 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 - -60 - (-215 + 243)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145632 (base 7) to base 9.\nAnswer: 43013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4018656 + 9218753. Suppose u = v - 6749903. Round v to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/6 (b) -5 (c) -0.22 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97908971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - (8 - (4 + -1)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628*b + 396375 = -275585. Calculate the remainder when b is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3082296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5372 is divided by 1135.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(24) + sqrt(6)))\/(2*sqrt(98) + sqrt(98)))**2.\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 111*k**4 - 339*k**3 + 18*k**2 + 444*k - 24 = 0.\nAnswer: -1, 2\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i + 19. Calculate m(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 10*w + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q + 5*q = 0. Solve q = -r - 4*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 5*r + 6 - 6*r + (6*r + r - 5*r)*(-2 - 1 + 1).\nAnswer: -15*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d - 24. Suppose -2*q + d*q = 420. Calculate the greatest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/20 + r**4\/12 + 11*r**3\/3 - 84*r**2 - 20*r. Determine z(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 247, 380, 511, 640, 767?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -4*o. Let a be 2 - (o\/(-2) + 2). Suppose -3*j = 5*t - 61, 4*t - 55 = -a*j - 5. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = -1. Suppose -d*h = -5*h. Suppose h*l = -l + 8. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13914 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: Suppose 3*i + 13 = 2*o - 3*o, 0 = -3*i - 2*o - 11. Let b = 7 + i. Suppose 0 = 5*y + x - 7649, -1953 = -b*y + x + 1108. Round y to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2686 divide 34480182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n + 5\/6*n**3 + 1\/120*n**6 + 6*n**2 + 7\/60*n**5 + 1\/3*n**4 + 0. Determine o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - (4 + 1 + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2068*i*w**2 + 4*i*w + i + w**2 - 2*w wrt w.\nAnswer: -4136*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54094747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9719262 is divided by 1905.\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:00 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1640 or 1384?\nAnswer: 1384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7083666 by -45.\nAnswer: 787074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 23 - 0)\/(0 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149692\/5 or -29939?\nAnswer: -149692\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -989, -999, -1009, -1013, -1005, -979, -929?\n\"Answer: i**3 - 6*i**2 + i - 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 11 = o, 4*b = 5*o - 10*o - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4272 + 0.0728. Let z be 1 + (-2 - (-1 - 1)). Which is the closest to 3? (a) -0.4 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * -2686.\nAnswer: -115498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/2367 - -168050\/16569. Let l = 1051\/105 - f. Which is the biggest value? (a) -0.4 (b) l (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-368)\/(-18) + (-56)\/126. Solve -k + 24 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + 17*i**2 - 10*i**2)*(8*i + 2*i**2 + 7*i**2 - 9*i - 2*i**2 + 0*i + 0*i + (3*i + 2*i - 3*i)*(2*i - 2*i - 2*i)).\nAnswer: 51*i**4 - 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3) + -2 + 4. Suppose -v*n = -n. Let o(r) = r**3 + r + 15. Let u be o(n). Calculate the greatest common factor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(0 + sqrt(405)) + sqrt(15)\/(-6*sqrt(12)))**2.\nAnswer: 59405\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-155532)\/(-162) + 10\/(-135).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-4)\/176*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 + 99. Suppose -11 = n*y - 19. Let g be 3 - ((-1)\/1 + 1). Let m(r) = -4*r. Let a(l) = 5*l. Give g*a(z) + y*m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 3) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 40*n**2 + 32*n + 30. Give t(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from hbfsfssbussfbbfb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39020 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*j**4 - 40*j**4 - 50*j**4 + (0*j**3 + 6*j**3 - 4*j**3)*(1 + j - 1).\nAnswer: -55*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 18*h**2 + 610*h - 10738. Calculate m(18).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u + 50. Let y be r(-6). Suppose 24 - 142 = -y*c. Calculate the remainder when 227 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.24 + 179.76. Let u = -175 + o. Which is the second biggest value? (a) u (b) 1 (c) 5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47, -91, -135, -179, -223?\n\"Answer: -44*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + w - 13 + 23 = 0, -3*i - 4*w = -35. Let x be (6\/9)\/(4\/(-12)). Let l = x + 5. Solve 0 = 3*n - 2*h - l, -3*h - 4 = -i*n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 6*s - 12. Which is greater: s or -17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/65)\/((-1)\/(-35)). Suppose 46 = 3*c - u. Suppose -6*l + c = -l. Solve 2*z - l*d + 7*d = 8, -4*z - d = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9877 + -20193\/2. Let w = q + 219. Which is smaller: 9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + sqrt(153)*3))*3)\/(sqrt(27)\/(sqrt(9)\/sqrt(3))) - ((sqrt(1088) - (sqrt(1088) + -1)*3)**2 + (-5 + (sqrt(153)*-2)\/sqrt(9))**2).\nAnswer: -4454 + 67*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14\/13, -4, 3639\/7, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 12 = -4*q, -t - 3784 + 3789 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 7. Let k be m(10). Suppose -18 = -t + 2*c, t = k*t - 5*c - 40. Calculate the smallest common multiple of t and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983*y**3 - 1970*y**3 + 989*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16. Let v = -2\/9171 - -972140\/64197. Let o = 177\/14 - v. Which is the nearest to u? (a) 5\/3 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 93. Let f(a) = a**2. What is f(b(m))?\nAnswer: 25*m**2 + 930*m + 8649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 627*b**5\/20 + 5*b**3\/6 - 27*b**2 + 2*b. What is the second derivative of y(j) wrt j?\nAnswer: 3762*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 3*n**5 + 4*n**5 + (3*n**3 + n**3 + 2*n**3)*(-n**2 + 2*n**2 + 0*n**2) - 2*n**5 - 2*n + 2*n.\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.5 + 27. Let m = -7 - -13. Which is the smallest value? (a) -1\/7 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 6. Let j = z + 0. Let a = -1 - j. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-163264)\/(-107142).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3741 and 1469267.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -16*s + 1. Let y be m(-1). Let h be 3\/(-2)*22\/(-33). List the prime factors of y + (3 - 4)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*v**3 + 32*v**3 - 414*v**3)*(3 + v - 5*v + 2*v).\nAnswer: 878*v**4 - 1317*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by (-2758)\/(-112) + 5\/40*3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204972.\nAnswer: 2, 3, 19, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16646 - -46077?\nAnswer: 63734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -75, -2, -9, -4, 1\/4?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49167.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35363820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -1. Which is the fourth biggest value? (a) 3 (b) 0.1 (c) -3\/4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 5:16 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 + 77 = -14*s. Let d = s + 46. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000618106004 to 7 dps.\nAnswer: 0.0000618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/5 + 6*o + 32\/5 = 0. Calculate o.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**6 + 13*n**5 - 147952*n**3 + 281417058*n**2.\nAnswer: 480*n**3 + 780*n**2 - 887712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*o - 40. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.1 + -16.2. Let o = 3.4 + c. What is the third smallest value in o, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 7393*q + 7393*q - 2*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 + -217. Which is the second smallest value? (a) 2\/13 (b) 3\/52 (c) 3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460759905 divided by -1.\nAnswer: 460759905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f + 12, -50 = -5*p + 5*f. Let o be 43\/(-6) - 4\/(-24). What is the remainder when p is divided by 1*o*(-3)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-6 - -22)) + 20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/21, 2, -10.\nAnswer: -10, -4\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3728711 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 66*h - 123. Let g be d(16). Let v = g - 87. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4 + 2*s**3 + 494532*s**2 + 22819989*s?\nAnswer: -24*s**2 + 12*s + 989064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -574, -2006, -4400, -7762, -12098, -17414, -23716?\n\"Answer: -v**3 - 475*v**2 - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1907645128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10596 is divided by 2118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/4 - n**4\/2 - 15*n**3\/4 - n**2 + 5*n.\nAnswer: n*(n - 5)*(n - 1)*(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752814, -752894, -752974, -753054?\nAnswer: -753134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 5a?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 45. Let d = 48 - c. Suppose -d*b + w + 26 = 0, 3*b + 0*w + 4*w - 11 = 0. Solve -v + b*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -129*r - 1. Let k(y) = 11*y**2 - 208*y + 7. What is the remainder when s(-2) is divided by k(19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 = -3*q, 5*q - 35 = 2*k - 7*k. Suppose 5*g - b - 325 = 0, k = -b - 3. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10\/w)**(-41\/5)\/(w\/w**(2\/7)*w)**(18\/13) assuming w is positive.\nAnswer: w**(-34659\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-6\/5)\/c))\/(c**(-2\/11)\/c)*(c\/((c*c\/(((c\/(c*(c*c**(-2\/35)*c)\/c)*c)\/c)\/c*c))\/c))\/(c\/(c**(2\/7)*c)) assuming c is positive.\nAnswer: c**(1434\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7739906 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-4)\/(-42))\/(14*(-18)\/(-441)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11214817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 - (44\/(-11))\/4. What is the third biggest value in -2, 1, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 11137*n - 11137*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-5)*(w*w**(6\/7)*w)\/w*(w**(1\/5))**(-9\/5) assuming w is positive.\nAnswer: w**(1312\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 766*j\/3 - 61640\/3.\nAnswer: -2*(j + 115)*(j + 268)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u + 5*u = -176 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21011 (base 3) to base 8.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605853208 rounded to the nearest 100000?\nAnswer: -1605900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + 3*o**5 - 4*o**5 + 2*o**5 + 20 - 20 + (0*o + 2*o - 4*o)*(-5 - 2*o**4 + 5).\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -138*l. Let v(c) = -276*c. What is 5*k(h) - 3*v(h)?\nAnswer: 138*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-30)*84*216\/378 - -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 0 - (-10 + 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/3 - 9*y**2\/2 + 1301. Let k(i) = -3*i**2. Calculate q(k(d)).\nAnswer: -9*d**4 + 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 669, 1340, 2011, 2682, 3353, 4024?\n\"Answer: 671*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4\/3 (c) 61 (d) -2 (e) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*h + 3*a**3*m**2 - 2*a**3*m - 607*a**2 - 365903*a*h*m**3 + a*h*m**2 - m**3 + 171*m wrt h.\nAnswer: -a**3 - 365903*a*m**3 + a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -10 - -3) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*u = -u + 4, 0 = 3*g - 2*u - 8. Suppose 4*w + 0*w - 28 = g. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z**4 - 9*z**3 - 9*z - 15. Let w(a) = -a**4 - a**3 - a. Let h(g) = o(g) - 9*w(g). Differentiate h(b) with respect to b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 7:31 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -679 and 24?\nAnswer: -16296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17b6 + 280?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*x + 18421 + 5863, -2*w + 12136 = -4*x. What is the greatest common divisor of 264 and w?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/5 - 24*g**3\/5 - 18*g**2 - 20*g = 0. What is g?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 5. Let c = -16 + 9. List the prime factors of h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 3*a**2 + 8*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 27*y - 25*y. Suppose 2*v - y = -88. Which is the third biggest value? (a) -2\/3 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**4 - g**3 + g + 1. Let q(f) = 5*f**4 + f**3 - f + 1. Let w(n) = 3*a(n) - q(n). Let w(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 60 = -12. Suppose -26 = -4*d - 7*a + 8*a, 2*d + a = 10. Suppose d*h - 165 = h. What is the remainder when h is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4819104 by 18.\nAnswer: 267728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -532\/17 + 3758\/119. Let d(a) = -a**3 + 8*a**2 + 3*a + 9. Let v be d(8). What is the fourth smallest value in v, 5, g, -4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*f**3 - 236*f**3 - 626*f**3 - 722*f**3.\nAnswer: -1461*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30461 is divided by 150.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Suppose -b*o + 51 = -o. Does 11 divide o - (2\/1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 64649*q + 7240724. Determine y(-112).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 668.9365 * -0.5.\nAnswer: -334.46825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -658.4 or -3349?\nAnswer: -658.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74173175 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33\/47093 + 1318462919\/282558. Let q = x - 4681. What is the common denominator of q and -55\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 58*k - 11. Let l be s(18). Suppose -30*i + 26352 = -3*i. Calculate the greatest common divisor of i and l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b + 2*j + 24 = 24*b, 3*j = b + 28. Which is smaller: -101\/6 or b?\nAnswer: -101\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7193 divided by -9368\nAnswer: 7193\/9368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12921263 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -2, -3, 19.\nAnswer: -5, -3, -2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2. Let t(w) = 11*w - 45*w + 8*w + 17*w. What is t(q(p))?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1282 and -99\/10?\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6224.02 to the nearest 10.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + 2 + 2 - (sqrt(7) - (-4 + (sqrt(28)\/sqrt(4))**2) - (sqrt(77)\/sqrt(176) + sqrt(7))).\nAnswer: 5*sqrt(7)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19766*m + 988329. Give f(-50).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/(-18))\/(-5) + 1718\/(-36) and -23\/89.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 232 = -b - 3*b, -3*b + 6 = 0. Let c = 251 + i. What is the highest common divisor of 209 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**26*f\/f**(-2))\/((f*f**(-2\/5)*f)\/f**(-4\/9)) assuming f is positive.\nAnswer: f**(1213\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -160\/61?\nAnswer: -160\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 2, j: 4, y: 3, t: 2, r: 1}. Give prob of sequence syj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minus 0.2334?\nAnswer: 16.7666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3894903 is divided by 225.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2362681240 to the nearest integer?\nAnswer: 48607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 2. Let t be c(7). Let o = t - 5. Let u = 32 - 18. What is the lowest common multiple of u and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5184 and 3770496.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - (-3)\/(-48)*-14 and 43\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((5\/(-2))\/(-5))\/1. What is the nearest to g in -1, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/60 - 5*i**4\/24 + 5*i**3\/6 - 5*i**2. Let f be ((144\/6)\/(-6) - -3)*-3. Let b(v) = 3*v - 3. What is f*j(z) + 5*b(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2. Let l(w) be the second derivative of -w**4\/12 - 5*w**3\/6 - w. Let c be l(-5). Let g(k) = c*k**2 + k**2 + k**2. What is f(g(u))?\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssisssisssss?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/(2\/12). Find the third derivative of -2*n**5 - 9*n**5 - 14*n**a + 12*n**5 wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8347, 4186, 21, -4148, -8321, -12498, -16679?\n\"Answer: -2*z**2 - 4155*z + 12504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 + 3*m**2 - 170*m - 18516 wrt m?\nAnswer: -6*m**2 + 6*m - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*m + 10, -2*m - 560*i = -558*i + 34 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 - 7 = -o, -3*o + 2*w = 11. Let r(u) = -u**3 - 7*u**2 - u + 2. Let a be r(o). Suppose 4*v = 3*v + a. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28136, -7.\nAnswer: -28136, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3154264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120422612 - 0?\nAnswer: 120422612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -200221 (base 5) in base 4?\nAnswer: -1202213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 4*r + r. Suppose 0*g - r = g + 2*l, -l - 184 = 5*g. Does 6 divide ((-2)\/6)\/(1\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 333 = 93. Calculate the remainder when 1366\/8 - (-45)\/j is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 0)\/((-1)\/4). Let s be (-12)\/10*(-10)\/4. Suppose 3*p + 6 = s*b, 8*b - 5*b - 2*p = 6. Solve 6 = -3*d, d = b*i - 4*d - o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 350376053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 21*t + 121 = 0, 0 = g + 2344*t - 2345*t + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 63 - 82 = s, -3*s = 3*c + 87. Calculate the common denominator of 23\/3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*g**2 - 19*g**2 - g**3 - 11*g**2 - g**3 - g**4 as f*g**4 + l*g**2 + k + a*g**3 + w*g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -90*h**2 - 70*h. Let w(v) = -5*v**2 - 4*v. Let o(p) = -2*d(p) + 35*w(p). Let t(b) = 28*b. What is t(o(q))?\nAnswer: 140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) - (-456)\/30. What is the greatest common factor of s and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-15)*z)**(-2\/67) assuming z is positive.\nAnswer: z**(28\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72\/29 - 969\/145. Let t = 3010 - -428. Let a = -24106\/7 + t. Calculate the common denominator of n and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 39*x**2 + 4*x + 348. What is b(-39)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.07, -0.1, 3\/4, 1, -1\/5?\nAnswer: -3.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -9*i + 15*i - 2*i**2 + 0*i**2 - i**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (2 - 8 - (17 + -31))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*a + 19. Suppose -4*k - 5*t = -41, a*k = -0*k - 4*t + 28. Solve -3*w + k = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6705296*h**4 - h**2 + 3070008*h.\nAnswer: 160927104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-147)\/39)*2\/(-3). Let y = -3402.7 + 3403. Which is the nearest to j? (a) 0.4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.12 - -15.32. Sort -16, 3, x in ascending order.\nAnswer: -16, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5*o - 1. Let h(w) = -6*w**2 - 17*w - 28. What is h(a) - 5*n(a)?\nAnswer: -a**2 + 8*a - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**2 - 23888955*o - 5972240.\nAnswer: 5*(o - 1194448)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 3, f: 5, b: 1, z: 1}. What is prob of picking 1 b and 1 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(5*f + 23 - 23 + 24*f).\nAnswer: -87*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (544\/160)\/(-7 + 142\/20 + 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**3 + 8*g**3 - 15*g**2 - 5*g**4 - 4*g**4 wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 + d**2 + 7 + 2*d**3 - 3*d**4 + 0*d**3 + 0*d**3 to p*d**4 + z*d**3 + k*d + g + a*d**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53 - 0.229.\nAnswer: -0.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 180 = -8*t + 17*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 745668 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -836661375 or -836661374?\nAnswer: -836661374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 455.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 35 - 27 - 32 - 2*o + 119.\nAnswer: -2*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 35926*y**2 + 753604*y + 717680.\nAnswer: 2*(y + 1)*(y + 20)*(y + 17942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or 18\/27995?\nAnswer: 18\/27995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:16 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1121012101011 (base 3) to base 13\nAnswer: 23a03a","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Is 46113 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (140 - 0) + 4 - (0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454874244 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59804056 and 559?\nAnswer: 59804056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 11 = t. What is the remainder when 2 + 5 + 4 + 3 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5 - 606*l**4 - 4938*l**3 - 11794*l**2 - 7464*l = 0?\nAnswer: -4, -3, -1, 0, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 - 0 - (-11 + 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.3, 701, -8.5, -1, 12 in decreasing order.\nAnswer: 701, 12, 0.3, -2\/5, -1, -8.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23381.958841 - -23382. Round p to four decimal places.\nAnswer: 0.0412","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2\/2 - 132879*o = 0.\nAnswer: 0, 88586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuunuuuuununuuuuuuun. What is prob of sequence unun?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15201443 - 1136163.\nAnswer: -16337606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + 0 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 3*d + 2403. List the prime factors of d.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 35. Let v be (-346)\/a + (-3)\/(-27)*3. Let m = -21 - v. Calculate the remainder when m is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127512581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870202119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 17\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -31*n + 10. Suppose -b - 192 = n*b. Find the common denominator of (-12)\/3 - b\/17 and -68\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + (14 - (-100 - -130))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*l = -36. Let h(p) = -p**2 + 10*p + 9. Give h(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118.921 - -0.079. Let j = l - 121. Let n = -0.3 + 0.3. Which is the closest to 1? (a) j (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3)*n)\/(n*n*(n\/(n\/n**6*n))\/n)*(((n\/n**(3\/7))\/n)\/n)\/n*n**(-1\/2)\/n*(n*n**(3\/4)*n*n*n*n**(1\/6))\/(n**1)**(17\/6) assuming n is positive.\nAnswer: n**(-239\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i + 2. Let n be h(1). Let o be (1\/(-2))\/(n\/(-5740)). Suppose 433 + o = 5*u - 3*j, -u - 5*j + 122 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1429, 1440, 1463, 1504, 1569, 1664?\n\"Answer: p**3 + 4*p + 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 942.6817136 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19270*a**3 - 3*a + 3*a + 19298*a**3 + 0*a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + x)*((2*x - 2*x + x**2)*(-1 + 1 - 1) + 165*x - 165*x - 75*x**2).\nAnswer: -152*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n - 2. Suppose -8 = -2*j - 0. Suppose j = k - 5*k. What is the tens digit of v(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.555 + 9.055. Which is the third smallest value? (a) h (b) 0.02 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d + 0*d)*(-3 - 2 + 3) + d - 4*d - 7*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -138. What is the remainder when 772 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744 divided by -236408.\nAnswer: -93\/29551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20932135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2042*j**4 - 9*j**2 - 571908*j.\nAnswer: -24504*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 35*m - 690. Give h(4).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/90)\/(-1))\/(56\/(33152\/148))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-5 + 7)\/696) + 2. Let z(m) = p - m**2 - 350. Let n(g) = 291*g**2. What is n(z(a))?\nAnswer: 291*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -1. Suppose 0 = t - d - d - u, t - d = 31. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r - 6. Let d be n(-5). Suppose -33 = -6*v - 3. Solve 0 = -3*y + d*y - v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3\/3 + 4*m**2 - 4*m + 1. Let i(t) = 2*t**3 - 3*t**2 + t. Let z be i(2). What is the lowest common multiple of p(z) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/((-28)\/70). Suppose x*j - 9 = -5*p, p + j + 18 = 6*p. Let h(z) = -z + 4. Let n(r) = -7 + 3*r - 2 - 2. Give p*n(s) + 8*h(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*k - 89*k + 175028. List the prime factors of k.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6*l - 3*l - 6 = 0, -7*l = -11*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041092331?\nAnswer: 3, 16693, 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1\/27 (b) 48 (c) -9 (d) -3\/2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 0.5, -5, -1\/4, 2, 308\/131, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1189?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 2 + 2)*(-5*n + n + 2*n) - 1 + 6*n**2 + 8*n**2 - 17*n**2 - 3*n**2 + 7*n**2 - 2*n**2 in the form q*n + o + p*n**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39275\/(-405) - -95 - (2 + -4)\/1?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160*0.7.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 + 8*b**2 + 13*b - 3. Let f(q) = q**3 - q**2. Let r(p) = 3*f(p) - k(p). What are the prime factors of r(-6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*x + 6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2. Let n(k) = 5*k + 9*k - 30*k + 9*k. Give q(n(u)).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*u - 10 = 0, d - 2*u = 3*u - 25. Suppose -4*o - 4*n + n + 1062 = 0, -5*o - 5*n + 1325 = d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let f(q) = -22*q - 15. Let g(i) = -12*i - 8. Let n(l) = 3*f(l) - 7*g(l). Let s(v) = -18*v - 9. Let c(o) = 4*n(o) + 5*s(o). Calculate c(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2053661726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 684\/136951 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340044859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(-5 + 4 + -4 + sqrt(833) + sqrt(833) + 2*(sqrt(833) + -2)))**2.\nAnswer: -2413620 + 90720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 505, 422, 285, 88, -175, -510, -923?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1423617246 and 0.0921.\nAnswer: -1423617245.9079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 7:15 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 511137701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20139156*a - 15128990 wrt a.\nAnswer: -20139156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 6*z**2 + 5*z + 4. Let h(w) = -w**2 + 31*w - 155. Let n be h(25). Let r be p(n). Solve -5 + 9 = r*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, 4, 2\/19, -0.5, -13.867, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -3*a**4\/2 + 7*a**3 - 3*a**2 - 9*a - 5192. Factor b(y).\nAnswer: -3*(y - 3)*(y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-140)*-5 + (-39)\/91. Is 4 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 9424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 3*s**2 + 5*s + 4. Let t be 6\/33 - (-652)\/44 - 3. Suppose 7*x - t*x = 20. Give n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -4*r**3\/3 - 2. Let t(v) be the second derivative of -1\/2*v**3 - 14*v + 0 + 0*v**2. Determine n(t(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -351, -526?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 5.2. Which is smaller: -16 or h?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.9291g in tonnes?\nAnswer: 0.0004859291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 3 - (5 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2. Let a(h) = -55286 - 17*h + 55286. Give w(a(j)).\nAnswer: -867*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.71, 5, -1.78, -136 in increasing order.\nAnswer: -136, -3, -1.78, -1.71, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 r when three letters picked without replacement from {r: 2, y: 1, f: 1, b: 2, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. What is the remainder when u is divided by (72\/16 + -3)\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3))**(-3\/8)*(m*m*m*m*m**(-1\/4)*m*m*m)**31)**(1\/10) assuming m is positive.\nAnswer: m**(1683\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31735.736 from -0.02.\nAnswer: 31735.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39035 rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18492 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:13 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 354*v - 2. Let n = 33 + -32. List the prime factors of f(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - s - 14. Let k be t(0). Round k to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + 1035. Suppose 0 = -p + k - 620. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(1200))\/(sqrt(96)*1 - 1*sqrt(726)))**2.\nAnswer: 20000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-9 + 6 + 11 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 1377408832895\nAnswer: -1377408832894.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*k - 91. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 4*n**2 - 9*n + 7. Let j(i) = i**3 - 5*i**2 - 6*i + 7. Let l = 10 + -4. Let g be j(l). Is r(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-2)\/6)\/((-43)\/(-516)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.753413 millilitres?\nAnswer: 0.002753413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/21 + (-1632)\/(-21) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1134)\/(-336) - 3\/8. Solve -p*x + 0*h = 2*h - 5, 4*x = 3*h - 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Suppose -5*p + 11 = -3*u - 20, 4*u + 47 = p. Let c be u\/9*(-1)\/(-6). Sort i, 0, c in descending order.\nAnswer: i, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + (-4 + 1 + sqrt(5) - sqrt(5)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (-32)\/(38\/20 + (-224)\/(-2240))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 185*w**2 + 15*w + 2804. What is a(-185)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197 + 529. What is the remainder when m is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k + 3. Suppose x - 16*n = -13*n - 13, 0 = -4*n + 20. Calculate the greatest common divisor of x and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29619 - 3?\nAnswer: -2961c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -13 + 16 + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(24\/(-3))*(-64)\/136\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*w + 20, -w + 3*r - 14 = -r. Let m(s) = 50*s + 5. Does 23 divide m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13940 - -13940.000029474. What is a rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/9 - 18\/27. Let s(k) = -k**3 - 3*k**2 + 7*k + 5. Give s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -1, 3\/2, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((850\/(-340))\/(2\/16))\/(25\/(-50)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, 1, -0.0475, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 - 3*d**2\/10 - 5*d\/2 - 21\/10.\nAnswer: (d - 7)*(d + 1)*(d + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 61*v**7\/210 - 575*v**3\/6 + 4*v**2 - 109. Find the first derivative of t(q) wrt q.\nAnswer: 244*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 125. Let p = -81 - i. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4372160424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5797 divided by -1888.\nAnswer: -5797\/1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -145*u**2. Let t(x) = 27*x**2 - x - 2. Calculate t(l(w)).\nAnswer: 567675*w**4 + 145*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z - 12. Let m be c(8). Let o = m - 46. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i**2 + i - 6. Give r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 19, -0.5, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-1 - -3 - 9). Let h(t) = -t**2 + 9*t. Let d be h(5). Suppose u*y = y + d. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 4*h + 12. Let l = -18 + 26. What is the tens digit of g(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -141704, -283409, -425114, -566819, -708524?\n\"Answer: -141705*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(4\/7)*j\/(j*j**(2\/9)\/j*j)*j*j*j\/(j*j\/(j*(j**(-1\/3)*j*j)\/j*j)))**(1\/8) assuming j is positive.\nAnswer: j**(1591\/3528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 4:23 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10.5+-17\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.39 + -1.3. Let g(l) = 11*l - 9. Let h be g(2). Suppose -47 + 8 = -h*k. What is the smallest value in 1\/11, k, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 6*n**2 - 6*n + 7. Let i(x) = -2*x**3 - 7*x**2 - 7*x + 8. Calculate 7*a(m) - 6*i(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/(-12)*-4 - 6. Solve q*n - 2 = 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1909, -1 in descending order.\nAnswer: 1909, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 26) + (1 - 6) - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1176\/60)\/(-49) - (-117)\/280?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322186 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10167 divided by 321.\nAnswer: -3389\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Suppose -6 - 84 = -u*l. Calculate the lowest common multiple of l and 2\/(-8) - 66\/(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 - 2*f - 4. Let s be o(4). Let k be -1*6\/(-3)*2\/s. Let j(m) = -2*m - 1. Let n be j(-1). Does k = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 0*s**2 - 1\/12*s**4 + 0*s**3 + 0 - 2*s. Let q(g) = 6*g. What is a(q(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*j**5 + 2 + ((-9 + 9 - 11*j**2)*(-j**2 + 2*j - 2*j) + 31*j**4 - 20*j**3 + 20*j**3)*(-3*j + j - 3*j).\nAnswer: -208*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + -50 + 96 + (0 - -2) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1157, 2474, 3801, 5144, 6509, 7902, 9329?\nAnswer: 10796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 + 300. Suppose -9 = 3*a, 0*i + i = 2*a + 8. Suppose 5*y - 67 = -i*b, -4*b = -5*y + 1 + 60. Calculate the highest common divisor of y and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 34*z**2 - 15*z + 3. Let t(n) = -n**3 - 6*n**2 + 15*n + 4. Let u be t(-8). What are the prime factors of r(u)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5968263 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 2*z - 5. Let d(w) = -7*w**2 - 8*w + 14. What is 2*d(o) + 5*m(o)?\nAnswer: o**2 - 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 8*r**2 - 138809*r**3 - 138717*r**3 + 277598*r**3.\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32587*s - 16202 wrt s.\nAnswer: -32587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 1:19 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Is 3\/2*106\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 21 = -3*i + 3*v, -3*i - 2*v + 6 = 0. Let r(n) = -n + 2. Give r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8003 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2989 - 207278?\nAnswer: -210267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -117.\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 + 8*d + 7)*(-2 + 6 - 1).\nAnswer: 24*d + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - 5\/15)*3)\/(-28). Let t = 22 + -16. Let c be (-15)\/(-55)*(-4)\/t. Put -2, 4, c, z in ascending order.\nAnswer: -2, c, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -51*x - 3. Let s(m) = 17*m. Let f(w) = 7*w. Let u(p) = 10*f(p) - 4*s(p). Calculate a(u(l)).\nAnswer: -102*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8653 + 4524 = -17*q + 5986. What is the greatest common factor of q and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2844 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*(-6)\/(-9). Let o = -1 + 2. Which is the closest to w? (a) 0.1 (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q, -27*q + 225 = -y - 22*q. Sort y, -1, 0.03, 0.\nAnswer: y, -1, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1557*l**4 - 2*l**2 + l + 26 wrt l?\nAnswer: 18684*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*j - 13, 3*j = 6*j - 15. Let g = u - 18. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*x + 87 = -3*w, 2*x + 219 = 3*w. Suppose 4*s - s - w = 0. Let v = 14389 - 14364. What is the highest common divisor of s and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 7*w**3 - 4*w**3 - 5*w + 4*w - 2 + 2*w. Give x(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 13\/3)*(14 + -11). Solve -w - 5 = -2*z, z + 3 = -w + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 178*s**2 + 9*s - 23. Is 13 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 507\/(-3) - (-3 + 6). Find the common denominator of 2\/g*2806\/69 and 11\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-2))\/3)\/((-1086)\/(-5792))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 13*q**3 - 10*q**3 + 17*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 8*j**2 + 1\/2*j**3 + 0*j - 1\/12*j**4 + 0. Let u(a) = -3*a + 5. Determine -6*u(x) + 10*y(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 612*j - 18842. Give t(28).\nAnswer: -1706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -99564?\nAnswer: 1\/33188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.2, -3\/4, 0.1, -24.\nAnswer: -24, -3\/4, 0.02, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4097829\/69220 + 1\/13844. Let a = -4982\/85 - i. Factor 22\/17*z + 14\/17*z**2 + a + 2\/17*z**3.\nAnswer: 2*(z + 1)**2*(z + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 885*v - 3*v**3 - 49*v**2 + 7*v**2 - 984*v.\nAnswer: -3*v*(v + 3)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3932, 3, -8 in descending order.\nAnswer: 3932, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 8372?\nAnswer: 242788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18408507?\nAnswer: 3, 13, 317, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21733948 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + (-65)\/(-25). Suppose 6 = 3*h - p. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 6. Let d(t) be the first derivative of -t**2 + 141. Calculate z(d(w)).\nAnswer: 12*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + o = -33 - 109, c = -5*o + 18. Let h = 17 + 27. Calculate the lowest common multiple of c and h.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, y: 2, k: 2}. Give prob of picking 2 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106303 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1699 = g, -l + 293 = -2*g - 134. Suppose -151 = -k + v, k + 2*k = -4*v + l. Suppose -4*w = -173 - k. Round w to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -449? (a) -63 (b) -1\/5 (c) -4 (d) 5 (e) 1.1 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.2 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100101 - -10?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36605 is divided by 1046?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4.9. Let h = u + 12.9. Let l = 13 - h. Sort 0.1, l, 0.4 in increasing order.\nAnswer: l, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1478244 divided by -2\nAnswer: -739122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87230070 is divided by 224.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = -18*p + 58. Let l(x) = x**3 + 14*x**2 - 26*x - 25. Does 28 divide l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5*b - 3 + (-35*b - 52*b - 40*b)*(88 + 55 - 34) as d*b + m and give d.\nAnswer: -13848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-546))\/(5\/(-180)*105).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(104)*2)\/(4*sqrt(72)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 9303 = -u - 9306, -3*g = 5*u + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -245*b**2 - 1264*b + 47. What is a(-5)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/88 + -1\/8. What is the nearest to -0.1 in -3, -5\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/152 and 6\/81263.\nAnswer: 650104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -2336451?\nAnswer: -2336438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**4 - 17315*v**3 + 276180*v**2 - 1448460*v + 2481840 = 0?\nAnswer: 4, 6, 3447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 276*q - 9. Let p be c(3). Let o = p - 14731\/18. Find the common denominator of o and 113\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329449?\nAnswer: 73, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9080445?\nAnswer: 3, 5, 11, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(-70) + (-5764)\/(-40)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 4029.\nAnswer: 173247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 + -6 + 18 + 1 + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -0.0376.\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 34.2, 1\/3, -6.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.1 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10960 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3860 = -19*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1925, 3893, 5903, 7955, 10049, 12185, 14363?\nAnswer: 16583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*2*6\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2792176575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 631077727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2862 by -1431.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/66 - (-29800)\/164021. Let p = -1028887\/208754 - y. What is the common denominator of p and -69\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -4104, -2 in increasing order.\nAnswer: -4104, -44, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/8))**34*((t\/(t\/t**9))\/t)**(2\/27))**(-35) assuming t is positive.\nAnswer: t**(-18305\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*z + 340*z = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjxw. What is prob of picking 1 w and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 261487, 524931, 788373, 1051813?\n\"Answer: -f**2 + 263447*f - 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -220*o**3 - 164 + 3*o + 2466 - o + 21 wrt o.\nAnswer: -660*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349734?\nAnswer: 2, 3, 7, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 8 = -5*c, -i - 9 = 2*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22607, -45216, -67825, -90434, -113043?\nAnswer: -135652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3*q**3 + 2*j**3 - 338*j**2 - j*q + 244*j - 4878*q**2 - 19*q - 26 wrt q.\nAnswer: -9*j**3*q**2 - j - 9756*q - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 41 - 4. Suppose -449 + 234 = -w*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -5 (c) 20 (d) 0.1 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 + p**2\/2 - p - 140. Let b(n) = -2*n**3 + 4*n - 5. Give -b(c) + 4*x(c).\nAnswer: -2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 12. Let r = 2203.86 + -2232. Let w = n + r. Round w to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 49746135.\nAnswer: 49746135.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400.647 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 + 8*g - 19. Let p be c(2). Calculate the smallest common multiple of (-108)\/(-21)*p\/(-20)*2 and 356.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-26)\/y**32)**50)**(-1\/41))**47 assuming y is positive.\nAnswer: y**(136300\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*m - 12, -59 = -m - 55 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*n - n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 1 + 25. Let x be -12*(c + (-904)\/(-112)). Suppose 3*u = 2*p - 6, -5*p = 6*u - u - 15. Is x bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (-12159)\/(-36) + 3\/(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(288) - ((sqrt(288) - (-1 + sqrt(288) + sqrt(288))) + -2)) + (sqrt(288) + 1)*-2)*-5)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 62*i + 116.\nAnswer: 2*(i + 2)*(i + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 - -1023\/5. Let x = -0.02 + -0.18. Let v = 0 + x. Which is the smallest value? (a) -2\/3 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 y when three letters picked without replacement from {y: 3, t: 1, c: 5, v: 7, s: 2, k: 2}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(90) + sqrt(90))\/sqrt(9))\/(sqrt(2) - (sqrt(18) - sqrt(72)\/sqrt(4) - sqrt(2))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7136784m to centimeters.\nAnswer: 71.36784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -551.64 + 541. Let j = n + 10. Round j to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5386, -43076, -145376, -344590, -673022, -1162976, -1846756, -2756666?\nAnswer: -3925010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 419342090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1487 - 4?\nAnswer: -148b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1870.3837 - -0.3837. Let f = 1870.000771 + p. Round f to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-4) + (-38)\/2. Let j = 22 + c. Solve j*o - 6*o - a = 25, 0 = 5*o + 4*a + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913416 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 177, 5, -34?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509427262.\nAnswer: 2, 254713631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuuwu. What is prob of sequence wuwu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.5, 0.5, -128, 5, 3.\nAnswer: -128, -0.5, 0.5, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 885466651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(405))*6 + -4*sqrt(405)*-1*4 + 0)**2 + 0.\nAnswer: 196020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 10. Suppose 0*u = -u - 7. Let f = -11 - u. Let b be a(f). Solve -2 = -2*v - b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3628*y - 14 = 2*f - 3624*y, 4*f = 2*y - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3396.9 or 130.9?\nAnswer: 130.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89636310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5784397 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2161.81 and 0.0892.\nAnswer: 2161.8992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -26120.\nAnswer: -26119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 136*w**2 + 320*w - 13895. Determine j(-139).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + a + 746 = 239, -3*n + a = 758. Let y = n + 2785\/11. Let i(f) = -2*f**3 + 10*f**2 - f - 3. Let o be i(5). Which is bigger: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163727633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1637*y**2 - y - 733 wrt y?\nAnswer: -3274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/11 and 38\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.9876 tonnes to nanograms.\nAnswer: 31987600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7791174776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q**3 - 12*q**2 + 17*q + 20. What is the units digit of c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2, -1\/2, -18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d24a0a (base 15) in base 3?\nAnswer: 200210111011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1432, 2866, 4300, 5734?\n\"Answer: 1434*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:40 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1438*t - 14184. Let h be s(15). Which is smaller: 7388 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -104, -232, -412, -644?\n\"Answer: -26*d**2 + 2*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 242, 269, 298, 329, 362, 397, 434?\n\"Answer: j**2 + 24*j + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q + 139 = -161. Let j(f) = 2*f**3 + 8*f**2 + f - 3. Let s(x) = -x**3 - x**2 - x. Let r(o) = -j(o) - 3*s(o). What is r(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137064010?\nAnswer: 2, 5, 13706401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2456 (base 15) in base 13?\nAnswer: -3699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36000510 (base 7) to base 12.\nAnswer: -10924b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1772 + -3585\/72652. Suppose -3*q + 17 + 1 = 2*s, -5*s = -2*q - 7. Suppose 4*y = 5*m + 14, -2*y + 3*y + q*m = -7. Which is greater: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3198 and 2218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167162 (base 11) to base 3.\nAnswer: 111010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -516266\/21 or -24583?\nAnswer: -516266\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (184\/(-644))\/((-4)\/10) + (-15010)\/(-7). What is the greatest common divisor of o and 495?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-21)\/(-49)*(-3)\/18.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4120 and 1030.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(-4*(sqrt(108) + 0))**2.\nAnswer: -62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t**3 - t)*(t + 2 - 2) - 5*t**2 - 2*t**4 + 5*t**2 + t - t - 2*t**4 - 3*t**4 + 12 - 12 + (t + 0 + 0)*(0 + 0 + 4*t**3).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28701 + -17575. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/4 - 319107*b\/2 + 319108 = 0. What is b?\nAnswer: -638216, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/x**2)\/(x**(2\/7))**29)\/((x*x**3)\/x*(x\/x**(-1\/6)*x)\/x*((x**0\/x)\/x)**(-1\/15)) assuming x is positive.\nAnswer: x**(-1021\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 + -5. Let o be -3 + (-30)\/7 - -7. Which is the closest to o? (a) n (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 192 - -83) + 14?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 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: Which is the second biggest value? (a) 0.02 (b) 2 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b1 - -3?\nAnswer: 9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:45 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2174 is divided by 79.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-84)\/105 + 2\/(-10). List the prime factors of (6348\/46)\/(0\/2 - s).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e08 (base 15) to base 2.\nAnswer: 110001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 532.2 to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3634*g + 20. Let x be z(-1). Suppose -4*f + 4872 = 4*m, -3*m + 14*f - 12*f + x = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let g(x) = -5*x + 1. Let z(d) = -g(d) + 6*v(d). Let s be z(-10). Solve -4*b - 3 + s = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*u - 10*u. Solve 2*t + u = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9984 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c13 (base 13) in base 4?\nAnswer: 2012323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/210 and 11\/4976.\nAnswer: 522480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*z + 24*z + 25*z + 155 + 21*z.\nAnswer: z + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23637465 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 16*x**3 + 116*x**2 - x - 12. Determine t(-7).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28760*l*q**2 + 5*l - 6527322*q**2 wrt l.\nAnswer: -28760*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 7.3233.\nAnswer: -10.3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:08 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10003.\nAnswer: 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 - 210*r + 245*r + 5*r**2 + 30.\nAnswer: 5*(r + 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/60 - w**5\/12 - w**4\/6 - w**3\/3 + 2*w**2. Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51057 is divided by 8491?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237850145*r**2 - 365805335*r wrt r?\nAnswer: -475700290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 + 2 - 2*i**3 + 7*i**4 wrt i?\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l - 2. Does 1\/3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*j*m**3 + 3*j*m**2 - 45*j*m wrt m?\nAnswer: -426*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utzpttruzttu. What is prob of sequence uuzu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/3)*v*v\/((v\/(v*v**(-1\/8)*v))\/v*v))\/(v**(3\/5)*v**2) assuming v is positive.\nAnswer: v**(233\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22464, -33605, -44750, -55899, -67052, -78209?\n\"Answer: -2*y**2 - 11135*y - 11327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*g + 30. Let k be 2 - (2\/2 - 2). Suppose g = k*j + 2*j. Solve 2*w + 2 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-3)\/(-801)). Let j = x + -130. Let r = 367\/9 + j. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5408235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-230)\/90 - -1)*(1 + (-95)\/(-133))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -510 and -1518.\nAnswer: 774180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 + 270. Let h(c) = 2*c**2 + 3*c + 112. Let g(m) = -m**4 - 3*m**2 - 2*m - 113. Let w(v) = z*h(v) + 2*g(v). Find the first derivative of w(t) wrt t.\nAnswer: -8*t**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -5.537 (c) -6 (d) -25 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/20 + -73 + (-16856)\/(-224)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*(s\/s**(-5))\/s*s*s)\/s*(s\/(s*(s**1*s*s)\/s))\/s)\/((s*s**1)\/s)**(-18))\/(((s*(s\/s**(-1\/3))\/s*s)\/s)**(-6))**44 assuming s is positive.\nAnswer: s**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/81 - 6\/27. Suppose q = -3*m + 403 - 118. What is the remainder when m is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.236 - -0.064. Which is the second biggest value? (a) -2 (b) r (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 5*t - 2. Let k be q(3). Let a = 10 - 6. Solve o + 11 = -5*x, k*x - x + 25 = a*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1675*l**3 + 470*l**2 + 5*l - 10. Let o(b) = 839*b**3 - 235*b**2 - 3*b + 6. Let j(w) = 5*o(w) + 3*r(w). What is the third derivative of j(m) wrt m?\nAnswer: -4980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979864513 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 6, w: 1}. Give prob of sequence jj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + n - 2. Let f be s(-2). Suppose -5*o + 2*o = -2*d + 6, 3*o - 5*d - 3 = 0. What is the units digit of o\/(-2)*5 - f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-3 + 8 - 3). Suppose -75 = p*m + 60. Let a(i) = -9*i + 35. Let d be a(7). Is m not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -292*h**3 - h. What is the units digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 3 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -0.3 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78, -230, -382, -534?\n\"Answer: -152*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/2))**(-4)\/(n**(-2\/5)*n*n\/n**3)*(n\/n**1*n*n)**(-1\/2)*(n\/(n**(-1\/2)*n))\/n**2 assuming n is positive.\nAnswer: n**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 - 361 - d**4 + d**2 + 361 + d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -46) + (0 - -1) + (14 - 42).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12\/77 + -8\/11. Let k = 2 + 0. Let w = -43 - -43. What is the closest to w in x, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/16 - v**3\/2 + 15*v**2\/8 - v + 2. Factor t(q).\nAnswer: -3*(q - 1)*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*h - 630*h + 37900 = 232*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 28*p**2 + 220*p + 148. Determine d(-16).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/30 - 11*h**4\/12 + 26*h**3\/3 + 53*h**2 - 7*h. Solve p(x) = 0 for x.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*r**2*z**2 - 70*h*z**2 + 47*r**2*z**2 + 3*r**2*z - 10*r*z**2 wrt r?\nAnswer: 2*h*z**2 + 94*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 469721.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-3 - -8 - 9) - -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/36 - 17\/36. Let m = 316\/3 - 1577\/15. Which is the third biggest value? (a) -0.09 (b) p (c) -3\/2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 989, -42.\nAnswer: -42, 4, 989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5379.\nAnswer: 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 17*h**2 - 16*h - 32. What is the remainder when 154 is divided by q(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691 - 772 - 1285 = 169*q + 831 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -21.991. Let z = f - 4.509. Round z to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7 - 27 = -4*d, 0 = d + 2*l - 5. Suppose 4*n = d*n - 32. What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (2 - 6\/5). Suppose 0*g + g + 1 = 0. What is the closest to g in n, 1\/4, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -i. Let x = i - -22. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 89*g = -86*g + 3, 4*g + 4 = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 19. What is the remainder when 7 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -3\/7, -0.4, 579.37, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-9) - 2)\/(128\/80448). Is s at least as big as 422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27257273227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07325233803 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 19*t - 6*t. What is the tens digit of ((-136)\/(-8) + 0)\/(t + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73 - -0.13. Let r = y - -0.7. Let i be (8 + -2)*(-7)\/(-21). Put 2\/11, i, r in descending order.\nAnswer: i, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*n - 17 = 0, 2606315*g - 2606312*g - 3*n - 18 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:51 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 123*k**3 + 12*k**2 + 13*k + 11. Let v(g) = 61*g**3 + 6*g**2 + 6*g + 5. Let z(r) = 6*c(r) - 13*v(r). What is the third derivative of z(b) wrt b?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1390578, -1390570, -1390556, -1390536, -1390510, -1390478, -1390440?\nAnswer: -1390396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -4, 0, -1189, 448 in decreasing order.\nAnswer: 448, 0, -4, -37, -1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*1)\/((-112)\/280). Find the second derivative of -37*b**s - 20*b**5 - 19*b - 11*b + 8*b**5 - 42*b wrt b.\nAnswer: -980*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 12}. Give prob of picking 1 j and 3 t.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*2\/(-1)*1. Let j = 9 + t. What is the closest to 0 in 2\/9, j, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 59*k - 1. Let z be p(-1). Let j be 3\/(6\/(-4)) + (100 - -5). Let b = z + j. Calculate the remainder when b is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 11\/20*c**5 + 0*c**2 + 12*c + 0 + 14\/3*c**3 + 0*c**4. What is the second derivative of d(x) wrt x?\nAnswer: 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -29 (b) 4\/31 (c) 0.5 (d) -2\/9 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 71, 155, 281, 455?\n\"Answer: i**3 + 12*i**2 + 5*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -53d?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*b**2 - 77*b**2 + 172*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5705?\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 85\/(-30) + (1*-3)\/3. Let s = d - -4. Let 1\/6*j**2 + 0*j + 0*j**3 - s*j**4 + 0 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.017 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/4 - 90003*t**4\/4 - 89979*t**3\/2 + 539961*t**2\/2 - 1259943*t\/4 + 449985\/4 = 0 for t.\nAnswer: -29999, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60804?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 6*p**2 + p - 9. Let u be a(-5). Let y = 23 - u. Calculate the greatest common divisor of 120 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**4*o + 34*k**4 + 200*k**2*o - k wrt k?\nAnswer: -24*k*o + 816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9502511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 14*w + (-2 + 2 + 2*w)*(4 - 1 - 2) + (0*w + 0*w + w + (2 - 2*w - 2)*(2 + 2 + 2))*(0 - 1 + 23) as p + f*w and give f.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 391*v**3 - 11808?\nAnswer: 1173*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfzz when four letters picked without replacement from {f: 2, z: 14, j: 1, l: 2}.\nAnswer: 91\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + 2 - 2 + (-5*c + 4*c + 3*c)*(-2*c**2 - c**2 - 9*c**2 + (c - 3*c + c)*(c + 3*c + 2*c)) to the form q*c**2 + b*c**3 + k + a*c and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19310372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 106*y**2 - 7*y - 14. Does 20 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:26 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuunuuuuuuunuun. Give prob of sequence un.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 328217\/(-12154))\/((-2)\/8).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*w - 268 + 7028 = 0 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 6*g**2 - 7*g. Let m be h(7). Suppose m*t = -3*t + 30. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.50353ml in litres?\nAnswer: 0.06450353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -826530 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d + 3. Let l(q) = q**2 - 4*q - 17. Let m be l(7). Suppose m*r + r = -3*c + 36, -r = 2*c - 10. Is h(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717157400 rounded to the nearest 1000000?\nAnswer: -717000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4346162 and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 81)\/(-7)*(-2)\/32. Which is the second smallest value? (a) 0 (b) u (c) 2\/25 (d) -5\/9 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 2337\/148 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -23. Let g be (-2 + -4)*(t + -2 - -26). Let q = g + 148. Put -1, 7, q in descending order.\nAnswer: 7, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-12) - 52\/624.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01826 + 218.01826. Which is smaller: p or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from hahfh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/5)\/(1\/5). Is 1546\/6 + (-4)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*v - j, -2*v - 3 = -5*j + 4. Let y(g) be the first derivative of 1 - g**6 + 16\/5*g**5 + 0*g**3 + 0*g + g**2 - 3*g**v. Factor y(k).\nAnswer: -2*k*(k - 1)**3*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11458\/18673 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7203232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -51098 rounded to the nearest one thousand?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8989064 - -218.\nAnswer: -8988846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87a - 5?\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 458\/16 + -1 + 33\/88?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-140))\/((-10)\/7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*o**3*w**3 - 280*o**3*w - o**3 + 4779*o**2*w**3 + o**2*w - 3*o*w - 2*w**3 - 25*w**2 wrt w?\nAnswer: -288*o**3 + 28674*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + d - 3*d. Let i(w) = 5*w**2. Determine i(b(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 3*w - 3. Let b be g(2). Sort b, 2, 1 in descending order.\nAnswer: b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -629 + 664. Solve -f = s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -782584 - 677778. Let d = -1980185 - c. Let f be 10\/5 + (3 + d - 1). What is f rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25450)\/20*(-36)\/(-45). Is w <= -1017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*k - 2 - 2, 3 = -3*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225 (base 8) in base 4?\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, m: 9}. Give prob of picking 4 m.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 9. Determine s(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*x**2 + 2*f**3*x + 33110*f**3 + 163*f**2*x**2 - 109*f*x**3 - f*x wrt x?\nAnswer: -4*f**3 + 326*f**2 - 654*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -45. Let b = -18 + p. Let k be (-2 + 0\/1)\/(-1). Solve b = -k*c - 2*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.093 - -0.307. Let m = -4.05 + 0.05. What is the second smallest value in w, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -22169*t + 545*t**4 - 8316*t**3 + 2096*t**3 + 7360 + 2708*t**2 + 249*t + 15*t**5 + 17512*t**2 = 0?\nAnswer: -46, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*t, -4238*r - 4 = -4243*r + 4*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*((-3)\/3 + 0). Suppose -m + 2*m = u + 7, 3*u - 43 = -r*m. Calculate the least common multiple of 4 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 4) + (180 - 143)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/14)\/(1\/7). Let i be 4\/a + 1\/(-2). Let j be 9\/6*4\/6. Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293681 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 4*c**3 - 6*c**3 + 9*c**2 - 5*c - 2 - c**4 to b*c**2 + m*c + r*c**4 + o*c**3 + z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10 = r. Suppose 0 = -r*p + 7 - 3. Suppose -5*i + 324 = l, -5*l + p*l - 263 = -4*i. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 15. Let h be c(7). Let j = 36 - h. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43477 divided by 7?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 703 - 300. Let p = t - 97. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26631206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234236400.\nAnswer: 2, 3, 5, 195197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 43*w + 44)*(37*w**2 - 18*w**2 - 17*w**2 + 39).\nAnswer: 86*w**3 + 1677*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/14 - (-4)\/14. Let d = 3 + p. Let a(f) = 77*f**3 - f**2 + 1. Is a(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 4, -0.1133, 1\/3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g. Suppose g = 4*k + 5*x + 12, 5*k - x = -2*x - 15. What is the units digit of -1*(k + -15 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = j - 4*u - 379, -2*u - 400 = -j. Suppose -2*i = 3*i - 30. Calculate the greatest common divisor of j and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4433\/186 - (-9)\/54. Solve 0 = y*x - 74 - 70 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/14 + 18\/63. Let w = s + -2. Let b = 3 + w. Solve 4*r - 1 = -g - 6, -3*g = 3*r + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/270 + m**4\/27 + 4*m**3\/27 + 7*m**2. Factor h(k).\nAnswer: 2*(k + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31200 and 31200?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 + o - 1. Let d(i) = -5*i**3 + 4*i**2 + 4*i - 3. Give 6*b(h) - 2*d(h).\nAnswer: 4*h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 (base 9) in base 16?\nAnswer: 17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/(-99)*12\/72. Sort 2, -1\/3, x in decreasing order.\nAnswer: 2, x, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04785 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 8*l - 4*l - l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31725975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 3*g**3 + 3*g**3 + (656 + 247 - 62)*(-3 + 0 + 3 - 21*g**3) in the form c*g**2 + w + l*g**3 + f*g and give l.\nAnswer: -17660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -471 - -466. Is 217 - ((-2)\/b)\/((-13)\/(-65)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20628813*g**5 + 669037*g**2 + 4*g - 3?\nAnswer: 1237728780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*l - 378*l**2 + 1102*l**2 - 6*l**4 - 390*l**2 + 1055*l - 391*l**2 wrt l.\nAnswer: -72*l**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-150) - (-110)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1099 - 1099 - 24*q**2 + 133*q**2 to the form i*q + l + u*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 4*g**3\/3 + 2*g**2 - 6*g + 539. What is p(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*o**3 - 179*o**3 - 81*o**3 - 53*o**3 + 70*o**3.\nAnswer: -440*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/((-88)\/4))\/1. What is the second biggest value in 0.4, k, -2\/131?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 25 = 5*l, -4*k - 173*l - 53 = -136*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - -5377) + 1\/(-3)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - 4*x + 5. Let t(b) = b**3 - 5*b**2 - 5*b + 4. What is 5*s(k) - 4*t(k)?\nAnswer: k**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 - 428*t + 694. Give l(84).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103489, 206976, 310463, 413950, 517437, 620924?\n\"Answer: 103487*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2352)\/77)\/(53\/(-1166)). What is the highest common divisor of 1776 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 0*o**2 + 23 - 26 to g*o + z + t*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 31 = -9. Is ((-2)\/o + 15\/(-12))*-983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15115 - -1?\nAnswer: 15116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 2395*x - 2396*x - 9, 3*x = 4*a - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*m**3 + 110 - 55*m**3 - 61*m**3 - 335 - 55*m**3 as p + b*m + j*m**3 + n*m**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-15))\/(1\/(-20)). Let r(k) = k**3 + 9*k**2 + 5*k - 3. Let s be r(x). Suppose 3*d = -3*l - 0*l + s, -4*d = -5*l - 1. Solve -l = -4*q - 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + (4 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34879?\nAnswer: 13, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*p + 5*d, 0*p - d = -3*p + 16. Solve 0 = p*u + 1 + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + 66 = 0. Suppose 5*o - 2*u - 5 + 56 = 0, 3 = -o + 4*u. Let l = t + o. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179554710?\nAnswer: 2, 3, 5, 37, 161761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85382039 + 85382052.0000073. Let i = 25 - 38. Let a = t + i. What is a rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1, 16, 6, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 + 2*l + 1. Suppose -2*u = -4*o - 4, -u - u - 3*o = 3. Suppose 3*t - 2*t = u. Suppose 3*q + 5 - 2 = t. What is x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -14 + 46 - 18 - 2*n. What is the tens digit of w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 39*y**2 + 93*y - 705. What is p(37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 124.466362?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 21 = q + 4*t, 0 = 4*q - 5*t + 15. Let s(j) = j**2 + 7. Let k(l) = l**2 + l + 1. Let v(r) = 2*k(r) - s(r). Does 10 divide v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide (-7 - 7\/14)\/(4\/(-344))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 3. Suppose 0 = x + 4*b + 24 - 0, -x + 3*b + 4 = 0. Let i be s(x). Let g be (-3 - i\/6)*2. Solve -g = d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -2, 10, 0, 27 in decreasing order.\nAnswer: 27, 10, 6, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*k**3 - 187*k**3 + 567*k**3 - 188*k**3 + 286 to the form q + t*k**2 + f*k**3 + u*k and give q.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b = 27*b + 215. Let t(z) be the third derivative of 0*z**4 - 5*z**2 - 1\/6*z**3 + 0 + 0*z - 1\/6*z**b. Differentiate t(k) with respect to k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + y + 14. Calculate the remainder when 0\/((-6)\/(-2)) + 39 is divided by k(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -5a1?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -4.269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/4)\/3 + 238\/952. Suppose 5*n + 44 - 132 = -x, 5*n - 304 = -u*x. What is the least common multiple of x and 156?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.2 - 25. Let i = b + -3.2. Let f = 224.8 + -225. What is the nearest to 3\/4 in 0, f, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/4)\/(15\/(-40)). Let m be 12\/9*(p - -3). Is -2 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**3 - 31*q**2 + 15*q + 299. Determine i(-3).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 595 - 315. What is the highest common divisor of d and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 4, b: 2, j: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*u + 10*u - 7*u)*(0*u + 5*u - 3*u)*(4 - u - 4) in the form p*u + c*u**3 + q*u**2 + g and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 10) to base 13\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.694 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 29.236?\nAnswer: 28.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*p - 13. Let d = -5 - p. Suppose -d*i - 20 = -25*i. Solve i*j = 2 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 313680 by -15.\nAnswer: -20912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.4 + 1860.8.\nAnswer: 1885.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/8 + 905*g**4\/4 - 3617*g**3\/8 + 226*g**2.\nAnswer: -g**2*(g - 1808)*(g - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45\/212 + 2\/53. Sort u, -2\/9, -4.\nAnswer: -4, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 860\/40)\/((2 + -23)\/84)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3058 - 1388. Let w = b + -65119\/39. What is the common denominator of w and (-130)\/48 + 209\/190 + 3\/(-5)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 8 - -5 - (-1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-11 - -5) + 5)\/((-4)\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495960 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -25. Let u(y) = -y**3 + 7*y**2 + y + 13. Let n be u(6). Calculate the greatest common divisor of n and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxlqlxllxqllxlxl. Give prob of sequence xqx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x - 122*x + 81 + 309 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9*i = -824. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 - -3) + (-5 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1)\/1*-4. Let c be (-6)\/(-1)*r\/6. Solve z - 14 = 4*j, 3*j + z + 4 = -c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629690 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890276 is divided by 283?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2391*n**2 - 30630*n**2 + 3*n - 3*n.\nAnswer: -33021*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/45? (a) -7 (b) 0.4 (c) -1\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 7}. What is prob of picking 3 u?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89\/46 - -10\/23. Let m = -10 - -10. Which is the nearest to 1? (a) 0.5 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -13. Suppose -2*v = -q - 5, -4*v + w = 7*q - 2*q. Suppose 13 = v*z - 14. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 9*p - 11. Let r(w) = w**2 - 9*w + 12. Let z(f) = -3*q(f) - 2*r(f). Let b be z(8). Let l = b - 1. Solve l = c - 4*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*v*w - 221559*v + 139798*w - 1 wrt v.\nAnswer: 7*w - 221559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v. Let r(d) = 6*d**3 + 9*d**2 + 9*d. Calculate 9*f(k) + r(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7700*p - 5063*p + 6086*p to z + y*p and give y.\nAnswer: -6677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1983408.\nAnswer: 2, 3, 7, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {t: 1, d: 8, e: 2, m: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 380892.8 days in nanoseconds?\nAnswer: 32909137920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/5)\/(2\/(-5)). What are the prime factors of -3 + 110 + (f - 0) + 1?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 = -11*b + 609 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:25 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71725586 divided by -2?\nAnswer: -35862793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/3 - 22\/33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 756 + -435. Suppose 3*p - 252 = -2*k - 37, -3*k = 4*p - d. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = u - 5*p - 1, 3*p - 1 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -56. What is the highest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1420781 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2.8 (b) -120 (c) -5 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**4 + 2987*g**3*n**3 + 704*g*n**3 - 4*g*n - 2*n**3 wrt g?\nAnswer: -60*g**2 + 17922*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -445205375\/863 - -515881. Let n = -142829\/25890 - k. Calculate the common denominator of 37\/8 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12134.9 - 12134. Let t be (-6)\/9 - (-40)\/42. Which is the closest to t? (a) 5 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 + 0*g + 0*g**4 + 1\/60*g**5 - 14*g**2 + 0*g**3. Let v(b) = 3*b + 3. Calculate p(v(h)).\nAnswer: 9*h**2 + 18*h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmmdddddmdmddddddd. What is prob of picking 2 d?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**2 - 4*h + 6. Let s = 619 + -621. Determine j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30. Let f(l) = l + 8. Let n be f(-6). What is the second derivative of -x - 2*x**2 + q*x**n + x**2 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141975702.\nAnswer: 2, 3, 11, 41, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 10. Let v be g(5). Suppose v*c - 3 - 32 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (912\/(-24) - -35)*9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 0 (c) -5 (d) -8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1927 - -0.7206.\nAnswer: 1927.7206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 + 3 + 1. Let f be (-28)\/(-126) - m\/9. Let x(v) = -v**2 - 2*v + 10. Calculate the remainder when x(f) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 2*g**2 - 5*g + 4. Let m be d(4). Suppose -891 = -15*a - 111. What is the greatest common divisor of m and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 271, 260, 235, 190, 119?\n\"Answer: -z**3 - z**2 - z + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 4.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, -0.1, 6\/13.\nAnswer: -0.1, 6\/13, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**7\/105 - 7*d**6\/2 + 49*d**5\/15 + 1338*d**2. What is the third derivative of u(m) wrt m?\nAnswer: 48*m - 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/(-192)*12612)\/((-28)\/(-29) - 1).\nAnswer: 29, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, v: 2, c: 1, o: 1, h: 1}. Give prob of sequence vhw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 55, 15, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30116, -29515, -28914, -28313?\n\"Answer: 601*t - 30717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 18*q = -16*q + 6, -3*c - 15 = -2*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let d(c) be the third derivative of c**5\/15 - 26*c**2. Give d(k(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:31 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8166 and 51\/20.\nAnswer: 81660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lctyelaey. Give prob of picking 1 a, 1 y, and 1 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 21*h + 134. Calculate m(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f**2 + 532*f - 1032. Calculate z(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, -17, -4, -2 in descending order.\nAnswer: 6\/13, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 47*l - 19. Let b be t(24). Solve 0 = b*x - 16 - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j - 10. Suppose 2*x = 7*x + 10. Let k = x + 8. What is the least common multiple of i(2) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 + 46\/6. Let c be (-1)\/(-2) + 10 + (-42)\/4. Solve c = 3*p + 9, t*l + 3 = 6*l - p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -169, -169, -13, 299, 767, 1391?\n\"Answer: 78*m**2 - 234*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/72)\/(39\/(-104)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -32, -31, -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 5305 = 22*g. What are the prime factors of g?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 8611.\nAnswer: -3\/8611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03302 or -16036?\nAnswer: -0.03302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, 107, 119, 145, 191, 263, 367?\n\"Answer: n**3 - 2*n**2 + 3*n + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 18. Give x(15).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3*u + 2. Let a be (-34)\/51*(-1)\/(4\/(-18)). Let l be x(a). Solve l*t + 2*p = 0, -3*p + 16 = -0*t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*1\/12)\/((-19)\/(380\/25))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0826 in 3, -4, -96, -4\/3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from sssssssrsrs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 17 + 37 + 770*r - 75*r as x*r + d and give x.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35889159 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.21 (b) -3 (c) 4 (d) -5 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*o + 7, 5*h + 16 = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r + 85*r + 2644 - 31*r - 29*r as u + d*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 35080.\nAnswer: 70160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10)\/(-30)*(3\/3 - -749) is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -489236?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 8*t**2 + 5*t - 14. Let y be p(-7). Let m(i) = i**2 - i + 2. Let s be m(4). Suppose a = -y*a + s. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96, -193, -294, -399, -508?\n\"Answer: -2*z**2 - 91*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 9*h**2 + 10*h. Let w be g(8). Suppose 2*y + 294 = 5*y. Suppose -3*i + y = -238. Calculate the greatest common factor of w and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(100\/(-30)))\/(9\/(-228))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -4132?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 10*u**2 - u + 11. Let h be k(10). Solve 4*p**2 + h + 8 - 2*p - p**2 - 10*p = 0 for p.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 62*k**2. Let d be p(1). Let r be -3 + d*(-3)\/(-6). What is the tens digit of 455\/r - 2\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 2098872?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = -68. Let a = p - -46. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 - 10 + 2558*f**2 - 1249*f**2 + 10 - 1309*f**2.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9191, -18472, -27753, -37034?\n\"Answer: -9281*r + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aattaaataatata. Give prob of sequence aa.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 88. Solve 2*m - m = z - n, 0 = 2*m + 5*z + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19329.000004311 - 19329. What is k rounded to 7 decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -f - 2*a + 3, -a = 0. Suppose 5*k + 23 = y, -4*y - y - f*k = -87. Solve -3*v - y = -r - 7*v, -4*r - 2*v = -16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9006 divided by -3002?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26863 (base 14) in base 9?\nAnswer: 154221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let j(y) = -y**2 + y - 3. Let k be j(0). Let o = -3 - -1. What is the closest to d in -0.1, k, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -969 + 970. Let q = 2.04 + -0.04. Let f = o - q. Sort 0.5, 2, f in descending order.\nAnswer: 2, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2 + 16 = 4*w, w - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 50. Suppose -i*u = -30*u + 40. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 114966 and 114958 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + n + 0*n = 163, 0 = n + 1. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429493213 minus 1243?\nAnswer: -429494456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6413 divide 489615440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9311\/537 - 1\/179. What is the common denominator of 2 - 0 - 71\/6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 1, f: 1, b: 1, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2479 + -2475. Let y(s) = 3*s + 1. Let h(q) = 2*q + 1. What is t*h(x) - 3*y(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 10:12 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*n + 71 = 0, h - 3*h = 4*n - 130. What is the remainder when h is divided by 20 - 1*(4 - 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -3521*f**4\/6 - 2*f**3\/3 - 6*f**2 + 20*f. Let u be w(4). Round u to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*h - 8, 104*w - 102*w + 7 = 3*h. Let d(u) = u**3 + 3*u**2 - 2*u - 10. Calculate d(w).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214684 and 6064823?\nAnswer: 24259292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 41?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2105 - 1785. What is the least common multiple of q and 280?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2400 - -2430032?\nAnswer: 2432432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(216)*6) + sqrt(24) - sqrt(24) - sqrt(24))\/(sqrt(48)*1).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = -2*c. Suppose 6*l = c*l + 4. Suppose 4*i = -l*o + 1328, -1013 = -2*o - 3*i + 318. Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53019 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2905*z - 20330. Give j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**6\/6 + 12*j**4 - 5*j**3\/3 - 47*j**2\/2 - 37*j + 5686. What is the second derivative of d(w) wrt w?\nAnswer: -20*w**3 + 288*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 244 = k + 44 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-1)\/(-2))\/(7\/(-56)). Differentiate -7*x**2 - 12*x**2 - 21*x**2 - m - 30 wrt x.\nAnswer: -80*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*f - 4*c, 4*f = -5*c - 3 + 1. Solve f*d + 2 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18002 - 12430. What are the prime factors of f?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/941484?\nAnswer: 1\/941484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 7*t**5 + (341*t**2 + 340*t**2 - 698*t**2)*(2*t**3 + 3*t**3 - 7*t**3).\nAnswer: 41*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**3 + 57*m**2 + 40*m + 67. Let d(z) = 11*z**3 - 62*z**2 - 39*z - 66. Let c(x) = -3*d(x) - 4*r(x). Calculate c(-41).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/((-7)\/(-14)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 30 = -4*i. Suppose -2*a = 3*a - i. Suppose a*v = -2*f + 28, 2*f + 5 = 2*v - 3. What is the greatest common divisor of 72 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-2) + 1\/2. Differentiate 2*x**2 + b - 2 + x**2 with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -312.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.496? (a) -3 (b) 18\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0406431 - 0.04141. What is d rounded to five decimal places?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 + 8*j**3 - 32*j**2 = 0. What is j?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obttttxoxpx. What is prob of picking 3 x and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m**2 + 7*m + 63. Let x be g(13). Round x to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/((-28)\/(-539)*11)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 33*n**7\/7 + 2*n**3 + n**2\/2 - 66. What is the third derivative of t(z) wrt z?\nAnswer: 3960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -80. Let w be 64\/p + 14\/21. Solve 4*r - 8 = 5*l + w, 3*r + 5*l = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(3\/(-18)*-3). Let t = -14 + v. Let i(l) = -l**2 + l - 1. Determine i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 38783014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*t - 22 = 10, 32 = -4*i + 3*t. Let r = -180781 - -180783. Put i, -1, -9, r in increasing order.\nAnswer: -9, i, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -u + 5 + 8, u - 15 = 2*t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -33 - 3*m - 5 - 28 - 9. Calculate the remainder when 100 is divided by t(-37).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 329 in -5, 31\/6, 11\/7?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/12611525?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**4 + 3584*s**3 + 209730*s**2 - 70308*s = 0. What is s?\nAnswer: -54, 0, 1\/3, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 42*m**2 + 20*m**2 - 68*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005782376 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8816131 is divided by 284390.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**4 + 25*u**3 - 30*u**2 - 45*u.\nAnswer: 5*u*(u + 1)*(u + 3)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-3*(sqrt(440)*2 + sqrt(440) - sqrt(440)) - sqrt(440)) + sqrt(440))\/sqrt(8))\/(-1*sqrt(275)*4*3).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 t when three letters picked without replacement from rugtutjtgjhgu?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-1)\/((-4)\/8). Suppose -j*p = -12 + 2. Suppose -h = p*m - 6, 2*m + 18 = 3*h - 2*m. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2\/4 - 6201*z\/4 = 0.\nAnswer: -2067, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -174*t**3 + 47*t**2 - 16*t + 6. Let z(q) = 35*q**3 - 9*q**2 + 3*q - 1. Calculate 2*x(u) + 11*z(u).\nAnswer: 37*u**3 - 5*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1406 (base 12) to base 9.\nAnswer: -3146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/7 + 736*f**2\/7 + 1987*f\/7 - 744\/7.\nAnswer: -(f - 248)*(f + 3)*(3*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0793 minus -7?\nAnswer: 7.0793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*m**2 + 41949*m**3 - 5603*m**3 - 262*m**2.\nAnswer: 36346*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1364 and 3100?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 3*n + 26*n)*(3 - 1 - 3)*(-1 + 4 - 1).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2.1, 0.5, 57, 18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4920*v + 4918*v - 4102 - 1646 + (0*v + 2*v - 4*v)*(-5 + 4 + 2) in the form d*v + s and give s.\nAnswer: -5748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7127713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**7\/28 - 11*w**5\/60 - 5*w**3\/3 + 16. Let a(o) be the third derivative of h(o). What is the second derivative of a(n) wrt n?\nAnswer: 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -781\/65 at most 9249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -22. Suppose s*x + 19 = 10*x. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 897*r - 501446. What is t(559)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51829\/20 or -2592?\nAnswer: -51829\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.746903 millilitres?\nAnswer: 0.005746903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1797, -3593, -5389?\n\"Answer: -1796*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:08 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + 4*j - 2. Let c be b(2). Solve 8 = 4*y - 2*y - f, 3*y - c = -f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**44*(y*y*y\/(((y**13*y)\/y*y)\/y))\/(y*y\/y**4) assuming y is positive.\nAnswer: y**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -27.2. Let w = 0.75 - 0.85. Let p = 5.94 - -0.06. Which is the nearest to w? (a) -4 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from ccshsssos.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 22*h - 80. Let t be -6 - ((-5 - -5) + -31). Let k be p(t). What is the second smallest value in 3\/8, 1, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Let h(b) = 1 - 5*b**2 + 16*b**2 - 3*b + n + 2*b. What is h(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*i - 10*i - 24*i)*(3*i**3 - i**3 + 2*i**3)*(-i + 2*i - 3*i).\nAnswer: -104*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 145, 146\/27, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*a = 5*a - 46, -25 = -s - a. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**4 - 4*u**4 + 2*u**4)*(21*u + 69*u - 5*u).\nAnswer: -680*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 2353888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 41, 154, 375, 740, 1285?\n\"Answer: 6*w**3 - w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70934 + 141979 - 25*u - 71045.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 17 - (-17 - -8) - 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 315 + 5. What is the remainder when y is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1011332 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:56 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 72 = 11*b. Solve 1 - b = g - c, 2*g + 3*c - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 10*h**2 - 7*h - 13. Let z be n(9). Suppose 4*f = 2*g - 2, g + 6 = z*f + 1. Solve o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.271494ug in kilograms?\nAnswer: 0.000000001271494","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}