diff --git "a/data/dm_maths/full_data_1/2419_11255.jsonl" "b/data/dm_maths/full_data_1/2419_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2419_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from {o: 2, m: 4, h: 3, p: 2}. What is prob of picking 1 h and 1 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z - 2*u + 792, -5*u = 4*z - 3186. Which is bigger: z or 812?\nAnswer: 812","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*z + 2*v = -140*z - 8, 3*v = -11*z - 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829 is divided by 227.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 10. Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(0 + 0 - h) - 663*h - 55023 + 55023.\nAnswer: -664*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990838 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/(-3058))\/(2\/(-4)). Let x = -968\/695 - c. Is -1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134990844.\nAnswer: 2, 3, 11249237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*t - 39, 2*m = 7*m - 5. What is the lowest common multiple of 4 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5170 (base 10) to base 15\nAnswer: -17ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 4141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24375 + -10558. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g + 943. Suppose -25*x - 5 = -w - 24*x, 0 = -4*w + x + 5. Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -10117\/583?\nAnswer: -10117\/583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16730 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 356537\/81 and 4402 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -711, -5729, -19343, -45849, -89543?\n\"Answer: -716*l**3 - 2*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -5*h + 955, 385 = 2*i + 5*h. Let r = i - 187. Solve -2 = -p + r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-3)\/6*25\/(-75). Suppose l + 9*c - 4*c + 3 = 0, -3*l - c + 5 = b. Solve y = -0*m + 2*m + 6, -2*m = -3*y - l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*r + r + 435, 4*r + l = 587. Suppose 141*q + 170 = r*q. Calculate the lowest common multiple of q and 9.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -488, -1016, -1554, -2108, -2684, -3288?\n\"Answer: -w**3 + w**2 - 524*w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 4035105211?\nAnswer: -4035105220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(6\/1600). Suppose 4 = 3*w - 11. Suppose 0 = -l + w*l - q. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18964484?\nAnswer: 2, 7, 11, 67, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2086 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106310 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/3)*((((y\/(y*((y**(-14)*y)\/y)\/y))\/y)\/y)\/y)\/y*y assuming y is positive.\nAnswer: y**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r + 4*r = -13*r + 2228 - 7622 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -102*z + 1227. Let u be p(12). Solve i + 4*i = -4*d - 36, -i - 16 = u*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007226 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/2 + 12*x**4 - 185*x**3\/2 + 305*x**2 - 432*x + 208 = 0.\nAnswer: 1, 2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 70, 50, 28, 4, -22?\n\"Answer: -s**2 - 15*s + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -5 (c) -19986\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73208.\nAnswer: 2, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668 + 666 - 1686*r**2 - 2*r - 1332.\nAnswer: -1686*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 1, -107, 4 in ascending order.\nAnswer: -107, 1, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3703 - 36*h - 3703 - 150*h.\nAnswer: -186*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6716 is divided by 104.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-5*o**2 + 4*o**2 - 3*o**2)*(0 + 5 + 5).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 287 - 287.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436\/(-1077)*(-1 - (4 + 0 + (-1445)\/(-20)))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 151, 176, 221, 292, 395, 536?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.526 - -0.144. Let l = 0.57 - p. Let u be (4\/(-8))\/(1\/10). Which is the closest to -1\/2? (a) -2 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*q + 37 + 11 = 0, 3*q = 12. Let p be 12\/10*80\/b. Suppose -132 = -6*o + p*o. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.42 + -38.42. Let f = 40.2 - 45. Let l = f - 0.2. Which is the nearest to o? (a) l (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37342+-10666.662\nAnswer: 26675.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = -10. Let f = v - 5. Suppose -f*u - 3*k + 112025 = 2*k, -2*k + 10 = 0. Round u to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 12*q**2 - 23*q + 41. Let p(f) = 8*f - 318. Let v be p(41). Let n be x(v). Solve -2*j = -2*u - 2 + 8, -4*u = -5*j - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 3*j + 2. Let f = 122 + -100. Suppose -5*m - 2*u + f = -5*u, 0 = 4*m + 2*u. Give a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4239 (c) -31691\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1638 = 5*w, 4*w - 3*w - k = -334. Which is greater: w or -331?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116006080.\nAnswer: 2, 5, 227, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 24315618.3 to the nearest 1000.\nAnswer: 24316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 67 = -4*z - 0*b, 2*b + 10 = 0. Let h = z - -15. Suppose -h*x + 26 = -x. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1787*k + 1940*k + 4570*k in the form v + o*k and give o.\nAnswer: 4723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -4\/5 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -167, -190, -213, -236, -259?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b - 4. Calculate the smallest common multiple of z(1) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a8477 (base 14) to base 2\nAnswer: 100000010100111011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.09 + -0.91. Let f = 0.269 - 0.579. Which is the second biggest value? (a) n (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37041237 to the power of 1\/2, to the nearest integer?\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l - 1. Let t(d) be the third derivative of -2*d**5\/15 - d**4\/8 + 2*d**3 - 2*d**2. Let y(a) = 3*h(a) + t(a). Differentiate y(c) wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -637, -355, 37?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k - 2. Let s be a(-2). Suppose -s*c = -c + 6. Let f be 2\/(4\/6)*148\/(-111). What is the closest to 2\/3 in f, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 2*w - 3. Let u(x) = -6*x**2 - 2*x + 4. Let k(i) = 5*f(i) + 4*u(i). Let c(y) = -y + 1. Let m be c(3). Give k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(17*z**3 + 74*z - 74*z) to the form q*z**3 + v*z + w*z**2 + n and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fciffzfzfzifcfc. Give prob of picking 3 z and 1 i.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 68 = -3*n. Let g = 12335 + -12334.4. Is g less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5075, -5080, -5097, -5132, -5191, -5280, -5405?\nAnswer: -5572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 4*g - 7. Let c(s) = -s - 2. Let d = -39 - -30. What is d*c(x) + 2*o(x)?\nAnswer: -2*x**2 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 1. Let r(f) = f**2 + 3*f + 4. Let x be r(-3). Let t(p) = -6*p + 1. Let h(s) = x*t(s) - 7*u(s). Differentiate h(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + r = -13, 5*r = -3*c + 31. Suppose 0 = c*h + 330330 - 40566. Is (h\/(-6))\/3 + (-9)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405014599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qltkkhtlqlss. What is prob of picking 1 s and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2394 = -5*m. Let c = 264 - m. Let d(p) = -p**3 + p. Give d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7789468 (base 10) in base 14?\nAnswer: -106aa28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 13*l**2 + 23*l - 6. Determine b(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215\/8 - -3209\/120. Which is the second biggest value? (a) -0.044 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7927 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(175)) + sqrt(175) - (sqrt(175) - -2*1*sqrt(175)))**2 - (2 + (sqrt(175) - (sqrt(175) - ((2*sqrt(175) - sqrt(175)) + 3)) - sqrt(175)))**2.\nAnswer: -350*sqrt(7) + 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 24, 428*a - 425*a + 3*u = 762. What is the least common multiple of a and 12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 2, b: 2, d: 4, k: 1}. Give prob of picking 1 d, 1 o, and 1 b.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166 - -136 - -17) + -1 + 144?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -10, -2, 2 in descending order.\nAnswer: 2, -1, -2, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g + 7*g + 1 - 22*g + 6*g. Let n(m) = 8*m + 12. Give 10*d(c) - n(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 30. Determine j(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 13*d**4\/12 + 2*d**3\/3 + 15*d**2\/2 + 6. Let q(t) be the second derivative of g(t). What are the prime factors of q(5)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 4*d + y, -5*y + 125 = -2*d + 6*d. Let i be 3\/12 + d\/8. Suppose 30 = i*c + c. Which is bigger: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3666876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2710087 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 45*n**2 + 13. Let m(p) = 21*p. Calculate m(r(h)).\nAnswer: 945*h**2 + 273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1548321 and 678459.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 14 (b) 18\/17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(2))\/sqrt(12) + 0 + (6*sqrt(50)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from ehkehkhhacahhhhcm.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 39142 * 0.2\nAnswer: 7828.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Let b be -4*i*4\/(-48). Let g(x) = x**2 - 4*x + 2. Let w(n) = n. Let t = 0 + 4. Determine b*g(s) + t*w(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 150*h**2.\nAnswer: 3*h**2*(h - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - 7\/(-21). Is 18\/11 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:25 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/12 - 25*c**4\/12 - 40*c**3\/3 + 111*c**2\/2 + 22*c - 3. Let g(t) be the first derivative of l(t). Factor g(m).\nAnswer: -5*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Let t = 4 - c. Let v(u) = u**3 + 5*u**2 + 4. Let j be v(-5). Solve t = -0*h - h - j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2434, 276 in decreasing order.\nAnswer: 276, -2, -2434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {q: 4, k: 6, s: 4, g: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 10*j - 6. Let z be -5*1\/(25\/45). What is the units digit of b(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 13*r + 15. Suppose -14 - 46 = 5*a. Let t be h(a). Solve t*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(2450) - (sqrt(2450) - (1 + sqrt(2450)))))**2 - ((sqrt(18))**2*-6 + -4).\nAnswer: 80*sqrt(2) + 3313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1795304 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168017*h**2*u**2 - 17*h*u**2 + 15*h*u - 12*h - 3*u**2 wrt h.\nAnswer: -336034*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from lccfcffffllll.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*k + 123 - 123 to the form p*k + d and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 24*j - 19*j - 25*j - 154 - 34, 3*u - 51 = -3*j for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 2*k**3 + 0*k**3 + (-k + 2 - 2)*(-3*k**2 + 3*k**2 - 6*k**2).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/12)\/(2*6\/24). What is the biggest value in 6\/7, m, 2\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376488295 to the nearest integer?\nAnswer: 19403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 29, -3, 16.\nAnswer: -3, 7, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 400*i - 36656 = 0. What is i?\nAnswer: -158, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531049444?\nAnswer: 2, 6221, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000201 (base 3) in base 14?\nAnswer: -b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8092 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/2 + 17*h**2 - h - 3356. Calculate d(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.76. Let s = m - -4.36. Let y = 13\/7 + -73\/28. Which is the third smallest value? (a) y (b) 0.5 (c) s (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69125826 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.991 + -2. Let g = h - 4.991. Which is the fourth smallest value? (a) -3 (b) -2 (c) g (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73.3 times -160\nAnswer: -11728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 80. Find the second derivative of -3*m**2 + l*m + m**2 - 62*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -3067 - ((-4 - -5) + 0). Suppose 5*b + w = 7*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 12*c + 66. Let q(x) = x**2 - 14*x - 68. Let b(d) = -4*i(d) - 3*q(d). Let p be b(-6). Solve 0*o - p = -4*t + 2*o, -2*t + 14 = -3*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14075*y**3 - 4*y**2 + 2*y + 428 wrt y.\nAnswer: 84450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7457 at least 3707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - 5*p**3\/3 + 3*p**2 - 2*p - 149. Let b = -19 - -11. Is 12 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3432*w = 101917 + 83411 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - (-1 - 0))*(-12)\/(-15). Solve 7*b = q + 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1192 times -0.04\nAnswer: 47.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00290803388 to seven dps.\nAnswer: -0.002908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-2 - 24\/(-9)). Let q be (6\/(-2))\/((-3)\/d). Let l be q\/(-5) - (-2)\/10. Sort -3, l, -2.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*n - 4*l + 64, 3*n - 28*l - 314 = 39*l - 1322 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 67*r**2 - 25*r - 7. Calculate m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 3*i + 5. Calculate the lowest common multiple of 1\/19 - (-4368)\/1482 and t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10891, 43586, 98079, 174370?\nAnswer: 272459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-4))\/(l*l**(-1)\/l))\/(l**(-2\/7)\/(l*l*l**6*l*l))*((l**(2\/5)\/l*l)**(7\/5))**(1\/12) assuming l is positive.\nAnswer: l**(18199\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 14 = -3*i + 6, 4*j + 20 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338399003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 + ((-247)\/(-780) - (-14)\/(-35))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1580800 divided by -130.\nAnswer: -12160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261334850 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 348783217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849062119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - s + 3*s + 196, -s + 67 = p. Calculate the remainder when 723 is divided by p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168012205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + 4 - 4)*((-2 - 2 + 2)*(-1 - d + 1) - 1757 + 91*d + 1757 + d - 1 - 4*d + d) in the form x*d + i*d**2 + a + k*d**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v = 150 + 98 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11166, 11161, 11154, 11145?\n\"Answer: -j**2 - 2*j + 11169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/((-21)\/35*1\/(-3)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:13 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*g + 7, 0 = 5*x + g + g - 26. Suppose 32 = -x*y + 6*y. Let t(q) = q**2 - q - 10. What is the remainder when t(-7) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(-1*sqrt(200)*-2 + sqrt(200)))\/(-5*sqrt(36)*-5).\nAnswer: -2*sqrt(2)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248419*t**2*v + t**2 - 96*t*v - 120991143*v wrt t?\nAnswer: -496838*t*v + 2*t - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308 + 10 - (6 + -6).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17)\/(l**(-1\/3)\/l))**(21\/2)*(((l\/(l\/(l\/(l**(-4\/5)*l))))\/l)\/(l\/(l\/(l\/l**(-5)))))\/(l**(2\/7)\/l**(1\/3)) assuming l is positive.\nAnswer: l**(11803\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 73 - 59. Calculate the highest common factor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q + 4. Let n(i) = 5*i**3 - i**2 - 5*i - 15. Determine -9*h(t) - 2*n(t).\nAnswer: -t**3 + 2*t**2 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - a**2 - a + 1. Let r(j) = -6*j**3 - 4*j**2 + 82*j + 4. What is -4*g(n) + r(n)?\nAnswer: 2*n**3 + 86*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10966*b + 76763. Calculate a(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6 and -1952977?\nAnswer: 7030717.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 102. Suppose -3*g + 2*g + 10766 = m*s, 2*s - g - 10766 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68.2 - 68.3. What is the nearest to c in 43, -0.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 8*q + 4. What is the units digit of o(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/25 - (-42920898)\/2875*-10. Round t to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Suppose -2*q - 1 = d - 6, -c*d + 25 = q. Suppose 2*z + a = -q*a - 14, -z - 14 = 4*a. Sort -0.5, z, 2 in decreasing order.\nAnswer: 2, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iavaianmniraaimi.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 28415*y**2 - 141980*y + 170340.\nAnswer: -5*(y - 5678)*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/24 + -201\/8. Let g = o - -26. What is the closest to 1 in 2\/7, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 + h**2 - h + 1. Let q(b) = b**2 + 5*b + 1. Let g be q(-5). Let t be o(g). Suppose 2*m = -m + t*k + 267, 0 = 2*m + 3*k - 178. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 - 20*u**2 + 36*u**2 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/(-3825)*(-1*10)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217\/4 + 54. Let z = -2.99024 - 0.00976. Which is the fourth biggest value? (a) z (b) 1\/3 (c) k (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.56 minus 0?\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*w - 31*w + 15*w)*(-41 - 12 + 26) to the form c*w + d and give c.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/3)\/1)\/((-81)\/(8262\/34))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f - 2*m + 20 = 0, 0 = -f + 5*m - 17. Suppose -4*a = -0*a - 4. Calculate the lowest common multiple of a and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-14))\/((-2)\/4 + 2). Let p be (-3)\/2*6\/(-27). What is the closest to p in l, -2\/13, 1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - p + 3 + 2*p. Let v be m(-13). Suppose 3*b - z = 10, z - v = -3*b + 4. Calculate the smallest common multiple of 7 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.814 take away 12775653?\nAnswer: -12775636.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52582847.\nAnswer: 52582847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 3*i**7\/70 - i**6\/20 - 151*i**4\/24 - 2*i**2 - 36*i. Find the second derivative of a(b) wrt b.\nAnswer: 108*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.290585 to 3 dps.\nAnswer: 16.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16414.87869ms in weeks?\nAnswer: 0.000027141003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/3*3\/2. Suppose -66 = z - m*z. Suppose -14 = 5*r - 44. Calculate the remainder when z is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 16810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.3 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*v**4 + v**4 + 15*v**4 - 66*v**3 - 5*v**4 - 237 - 7*v**4 wrt v.\nAnswer: -4*v**3 - 198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23252 is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*r + 433*r - 1680175 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - l + 24, -4*v - 4*l + 2*l = -24. Suppose 5*o = -3*y - 2*y - 520, -5*y = -4*o - 452. Let z = -107 - o. Sort -5, z, -32, v in increasing order.\nAnswer: -32, -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*z - 6, 2*m = -19*z + 17*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**4 - 126*n**2 + n + 136*n**2 + 0 - 1 - n**4 as a*n**3 + w + h*n**2 + p*n + s*n**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 968114 to the power of 1\/2, to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 14*a**2 - 29*a - 170. Calculate g(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 24, -2166*i = -2163*i - 5*k + 43 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1586153848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*s**3 - 118*s**2 - 1 wrt s.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. What is the first derivative of m*p**4 - p**4 + 0*p**4 + 2 wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/2)*p**(-2\/17) assuming p is positive.\nAnswer: p**(81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpmp. Give prob of sequence mm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*y - 4*u, -2*u = -32074*y + 32071*y - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let z(s) = 6*s - 1. Let f(c) = 14*v(c) - 2*z(c). Let r be f(2). Suppose 5*l + r*n = 2*n - 4, 2*l + 2 = -2*n. Solve l = -9*q + 8*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a + 463. Let u(d) = 11*d - 465. Give -2*u(m) - 3*v(m).\nAnswer: -m - 459","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 1. Let o be d(3). Suppose -20 = -5*x - 65. Let j be (-12)\/x + (-3)\/9. What is the greatest common divisor of j and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*i - 28638 = -120*i. What are the prime factors of i?\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let l(f) be the second derivative of -2*f**3\/3 + f. Determine p(l(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 50\/15*135\/75?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4267*c - 100301 - 108782 = 0 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331 - -3242144?\nAnswer: 3243030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:14 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, -12, -5, -642, 2 in decreasing order.\nAnswer: 5, 2, 0, -1, -5, -12, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/119*371\/(-318)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31881 and -386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7162.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -2, 2\/43, -0.21, 25, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -1400 - 393. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2241536 is divided by 315?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.04 (b) 2\/5 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.7 and -2320383.06?\nAnswer: 2320385.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1993, 1872, 1753, 1636, 1521, 1408?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**3 + 33*t**3 - 101*t**3 + 28*t**3.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -27*z - 318. Let p be n(-12). Let v(s) be the first derivative of 0*s - 1\/6*s**4 + 2\/9*s**p - 2\/15*s**5 + 0*s**3 - 7 + 0*s**2. Factor v(o).\nAnswer: 2*o**3*(o - 1)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3883, 4537, 5191, 5845, 6499?\nAnswer: 7153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34949.41 days in seconds?\nAnswer: 3019629024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485016 and 33663?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-92)\/(-115)*(-30)\/(-4). Suppose 5*p + 3*z - k*z = 922, 188 = p + 3*z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/4 + 1089*p**3\/2 - 53989*p**2\/4 + 88308*p - 75355 = 0.\nAnswer: 1, 10, 14, 2153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*i - 3*i + 10 = 0, -5*s - i = -9. Let x be ((-2)\/(-11) - 680\/110)\/s. Calculate the lowest common multiple of 24 and x - -17 - (-10)\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(6)*-6 + (sqrt(20)\/(sqrt(8)\/sqrt(2) + sqrt(4)) - sqrt(5))**2 - -1*3*(1 + sqrt(500) + sqrt(500)).\nAnswer: 17\/4 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -194*j - 10424. What is the hundreds digit of k(-76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbd when three letters picked without replacement from {f: 2, g: 2, w: 1, b: 1, c: 10, d: 2}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.007 + 0.047. What is the closest to 0 in 4, 5\/4, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4529 - -6611. What are the prime factors of c?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + f + 2 = 0, 5*d - 4 = f + f. Suppose 2*s - 5*k + 0*k + 8 = d, -26 = -s - 5*k. Factor -12 + s + 8*z - 3*z**2 + 4*z**2 - 3*z**2.\nAnswer: -2*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1987 is divided by 151.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1675\/(-3)*1593\/23895)\/(10\/(-12))\nAnswer: 134\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20903? (a) -0.1 (b) -0.22 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.8 + 12.7848. Let l = -0.0338 + p. Let c = 2 + -2. Is l <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = 15. Sort -2, -1, 13, u.\nAnswer: u, -2, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 123 - 141. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.5 (b) 1\/6 (c) 0.1 (d) 4 (e) -13\/5 (f) 1 (g) -7\/709\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -28. Let q = c + 52. Suppose 13 = -4*r + 3*r. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/4)\/u)*u*u**4*u**(1\/6)\/(u**(-3\/10)\/u*u))**(-2\/13) assuming u is positive.\nAnswer: u**(-433\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:55 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -2029*y**3\/3 - 1591*y**2 + 3295. Find the second derivative of f(u) wrt u.\nAnswer: -4058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 29938, -7, 3\/5, -0.1 in descending order.\nAnswer: 29938, 3\/5, -0.1, -0.2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.033 + -0.03061. What is f rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -a + 9, -3*a - 2*i = 2*i - 24. Suppose 0 = a*w - 7*w + 95500. Round w to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, -11 in descending order.\nAnswer: 2, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 551 and 754?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129021487 a multiple of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/3024 and -105\/46.\nAnswer: 69552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*h**2 - 24*h**2 - 153*h**2)*(0*h**3 + 5*h**3 + 0*h**3).\nAnswer: -1010*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 6, 2, -3, -16 in decreasing order.\nAnswer: 39, 6, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and ((-35)\/20)\/((1\/40*2)\/(-2))?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122010123 (base 4) in base 2?\nAnswer: 11010000100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/20 - 11*h**4\/12 - h**3\/3 - 7*h**2 - 8*h. What is the units digit of p(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/30 - -8)\/(1\/1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 6, 314 in ascending order.\nAnswer: -4, 4, 6, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 - -32322.\nAnswer: 32322.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*z. Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1d?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -105590000 to the nearest 1000000.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 9. Let k(w) = -88*w + 5. Let s be k(u). Let x = s - 148. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89\/12 - -83\/12. Let i(h) = h**3 + 6*h**2 - 6*h + 19. Let p be i(-7). What is the nearest to p in -6\/11, -0.4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1)**(9\/4))**(-11)*(q**(-1\/2)*q)**(15\/7)*(q\/q**(-2))**(7\/10) assuming q is positive.\nAnswer: q**(-3243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*4334\/1576?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {w: 2, p: 3, z: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*m + 39*m = -2 + 2. Sort m, -66, 9 in ascending order.\nAnswer: -66, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*j + 11. Factor j*z**2 - 4 + 10*z - z - z.\nAnswer: 4*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s - s + 0*s + 2 + 5*s - 8*s. Suppose -4*c = -3*i - c - 18, -c + 50 = -5*i. Let u(b) = 4*b + 4. What is i*z(l) + 6*u(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 886559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 101.06. Which is the nearest to 0.1? (a) 1 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o**2 - 2*o - 4. What is l(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 3)*1\/(-2). Suppose -3*c + 18 = -7*k + 4*k, 0 = -k - 2. Suppose 0*d + c*d - 88 = h. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 1, -4, 19, -3, 0 in increasing order.\nAnswer: -6, -4, -3, -2, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*w**5\/5 - 87*w**4\/5 - 519*w**3\/5 + 87*w**2\/5 + 90*w = 0. Calculate w.\nAnswer: -2, -1, 0, 1, 75\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 + g**5 - 2*g**5 + (2*g**3 + 2*g**3 - 2*g**3)*(-g**2 + 4*g**2 - 2*g**2) - 103*g**2 + 103*g**2 + 13*g**5.\nAnswer: 17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41033019 to the power of 1\/2, to the nearest integer?\nAnswer: 6406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194378, -389395, -584412, -779429, -974446?\nAnswer: -1169463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-27)\/(1755\/338))*1. Suppose 18\/5 - 19\/5*i + l*i**2 = 0. What is i?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.03 - -4. Let x = f + 0.43. Let u = -348 + 347.8. Which is the second biggest value? (a) u (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -0.027 (b) 5 (c) 9\/7 (d) -3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84240 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 12*l**2 - 94*l - 68. What is u(-17)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2*t**3\/21 + 16*t**2\/7 - 128*t\/7 + 18. Factor p(q).\nAnswer: -2*(q - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/(-1))\/((-2)\/(-2)). Suppose 0 = -a - 3*b - 9 + k, 4*a - 5*b - 160 = 0. Suppose -t + 6*t - a = 0. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175.47 - -172. Let v = -3.4326 - a. Round v to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xep when three letters picked without replacement from uehxuupeeeuheeeph.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let d(l) = l**3 - l**2 - 2*l - 2. Let o be d(0). Let q be (-2 + (-40)\/(-25))\/(o\/10). Solve h = q*j + 2 - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -12 + -2 + 5 - 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*o**3*y**2 + 211*o**3 - 3*o**2*y**2 - 2*o + 2*y**2 wrt y.\nAnswer: -34*o**3*y - 6*o**2*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e0 + 5?\nAnswer: 3e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56, -62, -76, -104, -152, -226, -332, -476?\n\"Answer: -s**3 + 2*s**2 - 5*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/4 or -40\/43?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/(-11)*5\/90*-8*-9?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/43)*d\/(d**11*d)*d assuming d is positive.\nAnswer: d**(-432\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 19*g - 23*g**2 - 2*g**4 - 11*g + 4*g**4 - 6*g + g to the form n*g**3 + r*g**4 + u + j*g**2 + d*g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/153 (b) -1 (c) 1 (d) -1\/5 (e) 0.07681 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-127)\/((-64008)\/864))\/((-3)\/28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdxh when four letters picked without replacement from hhhdhxdhdhhhd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2829908 is divided by 3377.\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/6)\/((-1)\/(-2)). Let m = y - -18. Let i = 491187 + -491187. Solve i*c + m = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*w - 2, -c + 0*w + w = -8. Suppose 4*f = c + 133. Let v = f + -22. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*5\/(-15) + (-5 - -32)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*m - 18 = n, 3*m - 14 = n. Let s(p) = 14*p. Let o be s(n). Calculate the greatest common divisor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**(1\/2)*p))**(1\/34))**42 assuming p is positive.\nAnswer: p**(21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 5, 1\/6, 0.2, 0, -137 in decreasing order.\nAnswer: 5, 0.2, 1\/6, 0, -91, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 169, 415, 739, 1141, 1621?\n\"Answer: 39*x**2 + 129*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k**2 - 4*k - 4. Let s(y) = -2146*y**2 + 259*y + 259. Determine -4*s(d) - 259*z(d).\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 - b**2 + b**2)*(-2*b**2 - 4*b + 4*b) + 10*b**4 - 19*b**2 + 19*b**2 + (-14*b**2 - 11*b**2 - 11*b**2)*(-b**2 + 2*b**2 + 0*b**2))*(-4*b + 3*b - b).\nAnswer: 48*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 20*n - 50. Let y(p) = 7*p - 17. Let i(h) = -5*u(h) + 14*y(h). Let b be i(5). Let o = 3 - -2. Put b, o, -1 in decreasing order.\nAnswer: o, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 1, k: 1, i: 2}. Give prob of picking 1 k, 1 i, and 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27218, 108869, 244956, 435479?\nAnswer: 680438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13123103112 (base 4) to base 3\nAnswer: -10122220120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198819960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092791 - 9*o + 1092791.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.6, 1, 176 in decreasing order.\nAnswer: 176, 1, 0.6, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18431+1096\nAnswer: -17335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 4\/9, -284 in descending order.\nAnswer: 4\/9, 0.14, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302713280 divided by -4.\nAnswer: 75678320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 20 = 0. Suppose -2*q - g = 2*q. Which is the closest to -1\/3? (a) -3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (335\/14)\/5 - 12\/42. Factor 9\/2*w + 3*w**2 + 3\/2 - 3\/2*w**5 - a*w**4 - 3*w**3.\nAnswer: -3*(w - 1)*(w + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*j + 18 + 13, 159 = 3*z + 2*j. Calculate the remainder when 635 is divided by z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 25 = 3*c, -5*d + d - 19 = -5*c. Suppose -2*f - 195 = -c*f. Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*c + 6. What is the units digit of (4 - 24)\/(2\/c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333*i = 1443*i + 440 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + 1*sqrt(720))*-6)**2 - (4 + (sqrt(40)\/sqrt(2))**2 - (1 + sqrt(20)*4)).\nAnswer: -8632*sqrt(5) + 53617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 divided by 3?\nAnswer: 488\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, -4, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/412 and -40\/103?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, and 2 v when four letters picked without replacement from pkkvkklvvllkplkcll.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7 and 7\/444.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 645, 5169, 17455, 41385, 80841, 139705, 221859?\n\"Answer: 647*r**3 - r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + o**2 + 0*o**2 + 15.\nAnswer: -5*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/2*(65 + -4).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqqwwqqqqqqqq. Give prob of sequence qq.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-1 - (-7 - -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 1481, 2310, 3179, 4094?\nAnswer: 5061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Suppose -2*l - 2*q - 4 = v, 2*l + l + 2*q = -3. Is 3\/l*(-97)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1001337 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i + i**2 - 9 + 4\/3*i**3 + 1\/4*i**4. Let g be q(-3). Solve 9 = g*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((138 - 136) + -10 + 0 - -10) + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195960 and 293940?\nAnswer: 587880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-12)*(4\/(-30) - (-78)\/990). Let u = 0 - 2. Put j, u, -1\/7 in increasing order.\nAnswer: u, -1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 3, u: 13}. What is prob of sequence ueuw?\nAnswer: 39\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-322)\/(-140))\/(-23)*-10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/2)*c*c*c*c*(c*c*c**(1\/18)\/c*c)\/c assuming c is positive.\nAnswer: c**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000214639821 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m + 6*m + 161*m + 118*m.\nAnswer: 320*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m - 20619. Let y(s) = -7*s. What is b(y(x))?\nAnswer: 98*x - 20619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -72363*o**2 + 144594*o**2 - 39*o - 72286*o**2 + (1 - 1 - 2)*(-3*o**2 + 6*o**2 - o**2) as u*o**2 + y*o + p and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*r + 27. Let v be (-2)\/(-6)*(-6)\/(-1). Let z(n) = -1 + 3 + v - 4*n - n**2. Calculate z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -22434*w + 67344. Calculate f(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3888510.32 to the nearest one thousand.\nAnswer: 3889000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.4. Sort -0.1, l, 1\/8 in decreasing order.\nAnswer: 1\/8, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 - 132180*d - 2183944050 = 0.\nAnswer: -33045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*-2*(sqrt(126)\/sqrt(2) + (sqrt(7) + -1*sqrt(7)*1)**2)*-5.\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + (9 - 8) - 21 - -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(10\/3)*j)\/j*j**25*j)**(-19\/3) assuming j is positive.\nAnswer: j**(-1672\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 41*h**2 - 495*h - 1863.\nAnswer: -(h + 9)**2*(h + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1463, 1524, 1585, 1646, 1707?\n\"Answer: 61*h + 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1202 = 4*q - 7*q, -3*i + 2*q = -902. Suppose -304*m - 53580000 = -i*m. Round m to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -2.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -46. Suppose 4*y = 2*s - 18, -2*y = -2*s - i + 17. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 20. Suppose -12*z - 92 = -17*z + 4*f, 5*f - 49 = -4*z. Calculate the remainder when o is divided by z\/40 - ((-54)\/15 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -220*t**2 + 8132*t + 294. Determine f(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135.\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8667 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, a: 8, s: 5}. Give prob of picking 1 g and 1 a.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b - 73. Let a be v(-6). Let h = 4 + a. Solve -3*z - 3 = h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -2726396\nAnswer: 13\/2726396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -38*f**2 - 5*f + 7. Let r be u(2). Let c = r - -256. Let o = c - 78. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 6*v**3 + v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4874.981 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-188 - 306 + 496 + 402*i)*(1 - 1 - i) as v*i + f + q*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 680 by -41.\nAnswer: -680\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2470\/21 + 364\/3. Which is the third smallest value? (a) 0 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*c = 1123 + 277, 5*p = 4*c + 1755. What is p rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1187.619g to kilograms.\nAnswer: 1.187619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20658)\/1252*12\/(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/8)\/((-1)\/(-2)). Calculate the highest common divisor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322.8 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 3}. Give prob of picking 3 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.456 - 1.456. What is the fourth smallest value in -4.6, a, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2548 - -2558. Solve 0 = 2*p + 4*n - x, 13*n - 18*n = -3*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**3\/2 - y**2\/2 + 42*y - 435. Suppose 2*t = 6*t - 12. Let z(v) = -4*v. Determine t*h(u) - 2*z(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1774.3 - 1774. Which is the fourth smallest value? (a) g (b) -1.4 (c) -1 (d) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -1, 62.5.\nAnswer: -5, -1, 0.5, 62.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-1) - 5)*-9. Let j be 9\/f + (-61)\/(-3). Solve -9*i = -j*i - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(396) + -2))**2*-6.\nAnswer: -288 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 71*v**2 - 68*v - 260. Calculate the remainder when 525 is divided by o(72).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from llqqllnyqllqlqnlyl.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905553 = -14*h - 53331. What are the prime factors of h?\nAnswer: 3, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*m**2 - 835*m**2 + 1683*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.796 - 42.996. Suppose 0 = 6*m - 2*m - 4. Suppose 4*v + 5 = 13. Which is the nearest to m? (a) t (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -6. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23092 + -346238\/15. Let c be (-88)\/6*(-6)\/(-10). Let p = x + c. What is the closest to 0 in -2\/13, -2\/7, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -94860, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21193191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14840 and 49630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2096 = -2*s + b, 5*b + 708 = -s - 351. Calculate the remainder when 1 + (-5)\/20 + s\/(-4) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*d - 414737 + 411254 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536.999778 rounded to the nearest ten?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -12 + 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -558\/7 (b) -129 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28652 - -28796. What is the remainder when 420 is divided by c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 474.935.\nAnswer: 468.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/17 + 328*b**3\/17 + 3744*b**2\/17 + 14720*b\/17 + 19456\/17 = 0.\nAnswer: -152, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n - 1. Let x(m) = -m. Let s(t) = -k(t) + x(t). List the prime factors of s(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atoeeeaaaaaae. What is prob of picking 1 t and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5176, 20687, 46540, 82735, 129272, 186151?\n\"Answer: 5171*l**2 - 2*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (13 - 119 - -26)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 + 16*d**2 - 5*d - 1. Let h(o) = -5*o**3 - 17*o**2 + 6*o + 1. Calculate 5*h(m) + 6*k(m).\nAnswer: -m**3 + 11*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111 + 10?\nAnswer: -10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-27))\/((-4)\/(-222)). Let w = g - -10063\/126. Calculate the common denominator of w and ((-1)\/(-24))\/(1\/242).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/719 or -6180?\nAnswer: 2\/719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71365465 rounded to the nearest one hundred thousand?\nAnswer: 71400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 51 = -22*r + 55 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(36\/8 + -3). Solve 0 = 3*l - r, -z - 3*l + 0 - 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*o = 13, 7 - 3 = -3*d + 2*o. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294982825 divided by 5\nAnswer: -58996565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 71805184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axcyacaacyyyyayta. What is prob of sequence cyxy?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y**2 - y + 153. Suppose 4*z + 4*s - 8 - 4 = 0, z = -3*s + 9. What is the tens digit of q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**3 - o**3 - 4*o**3)*(5 - 12 + 25) + 3 - o**3 + 20*o**2 - 20*o**2 - 2*o**3 - 7*o**3 + 3*o**3.\nAnswer: 11*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.605 + -47.055. Which is greater: d or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 48 + 13 = 0. Suppose -2*t - 2*a = -o*t + 5, -2*t - 2*a = -2. Calculate the least common multiple of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*l + 35, -2*l = -y - 3*y + 50. Let f(u) = y*u**3 + 2 + 12*u**2 - 5 + 3. Let x(k) = 4*k**3 + 5*k**2. Give -5*f(h) + 12*x(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*l + 192 = 3*l, -4*l + 52 = h. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 106 = -5*o, 3*o - 2*j + 51 = 125. Suppose -o*k + 566 + 1260 = 0. Calculate the remainder when k is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/5)\/q**(3\/13)*(q**(-3\/13)\/q)**(2\/81))**(-1) assuming q is positive.\nAnswer: q**(-8102\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u + 22. Calculate the lowest common multiple of 18 and b(0).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05734147 and 3?\nAnswer: 0.17202441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2598.2 - -2598. Which is the fourth smallest value? (a) 0.02 (b) 3 (c) -0.3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49979\/4 + -12459. Which is bigger: 35 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*l - 35, -2*l = -4 - 2. Let r be (-33)\/d*1 - -3. Let z be -1 - (2 - 2) - -1. Is r equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/(-299) - (-62170)\/26. Let f = l - 508. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -84, -295, -704, -1377, -2380, -3779?\nAnswer: -5640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 855*j - 64166 - 3831 + 9857 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 11*i**2 + 4*i + 60. Let k = -880 - -890. Let n be x(k). Which is greater: -16\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*k - 86 = -36, x + 3*k + 10 = 0. Let q be ((-8)\/x)\/((-2)\/(-15)). Solve 5 = c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) -0.3 (c) 4 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 211892*t + 9961133.\nAnswer: -(t - 211939)*(t + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -125, -123?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:35 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -198, -1173, -2726, -4851, -7542, -10793, -14598?\n\"Answer: h**3 - 295*h**2 - 97*h + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436804.\nAnswer: 2, 109201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/((-1)\/(-12)). Suppose -5*d = -d - t. Suppose 2*g + 4 = 2*h - 2*g, -5 = d*h + 5*g. Solve -6 = 2*s - 2*o, -19 = -3*s - h*s - 4*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43310 (base 5) to base 4\nAnswer: 232023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3225674 months in years?\nAnswer: 0.11021395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1065, 2173, 3281, 4389, 5497, 6605?\nAnswer: 7713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven twelths of a hour in seconds?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2112, 8437, 18980, 33741, 52720, 75917?\n\"Answer: 2109*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*f + 5 + 3, -5*a - 2*f = -26. Suppose -16 = -0*r - a*r. What is the units digit of r\/18 - (-305)\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 3 + -10 + (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 12*y + 22. Let j be u(10). Let z be -1*j*850\/17. Let b = z - -141. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -149\/4325 (c) -1\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, a: 4}. Give prob of picking 1 a and 1 h.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 6*p + 22. Let q(w) be the second derivative of w**3\/6 + w**2\/2 - 2503*w - 2. Calculate -f(o) + 6*q(o).\nAnswer: -2*o**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k - 19*k**2)*(-k**2 - 3*k**2 + k**2) + (2*k - 2*k - k)*(-k**3 + 2*k**3 - 2*k**3).\nAnswer: 58*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 22773 + 22821 = 6*l. Let u = 0.4 - -4.6. What is the closest to u in -1, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2083 is divided by 117?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -11 - 2 - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*h - 51 = -238*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754543255?\nAnswer: 5, 31, 137, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 2*y - 2. Determine z(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 59, 77, 99, 125, 155?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -154, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q - 24 = 4*o, 0 = 4*o + 4. Suppose -2*f = -3*v + 17, -v - 2*f + 7 = -4*f. Solve p - 16 = -v*m, m + 2*p = -0*m - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**3 - j**2. Let k be (-4*2\/(-12))\/((-4)\/6). Determine g(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7178038415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -5, 5 in descending order.\nAnswer: 181, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:26 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 4 (c) 4.8 (d) 17 (e) 1323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 322*n**2 - 16268*n\/5 - 5216.\nAnswer: 2*(n - 815)*(n + 2)*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11227983 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -3*p**2 - p + 4. What is the units digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 2)*18\/24*((-8 - 2) + -2)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/(2\/4). Let j(f) = -3*f**2 + f**3 + 2*f**2 + 2*f**2 - f + 4*f**3. Calculate j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88313519 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 48. Let r be -43*1*10\/(-10). Suppose -5*u + r - 23 = 0. Let j(w) = 5*w**2 - 11*w - 5. Let a(s) = -s**2 + 2*s + 1. What is g*a(q) + u*j(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 20, -9 in decreasing order.\nAnswer: 20, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33 (b) 48 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13656 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1535.7366\nAnswer: -767.8683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m**2 - 10*m**2 - 9*m**2 - 9*m**2 + 2*m as d*m**2 + u*m + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008116 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (0 - -2 - 4). Suppose v*k - 5*k = -550. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x = -49*x - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1262?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 15*z + 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 247 = 2*b, 491 = 3*b + b + 3*c. Suppose 4*q = -b + 33. Let a = 41 + q. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -71*r - 15. Let u = 110 - 126. Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-33)\/9)*15\/2. Solve k*i - 2*j - 3*j = -15, 3*i = -3*j + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14477 + -14476.99952803. What is r rounded to 6 dps?\nAnswer: 0.000472","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001760480571 rounded to 6 dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10277011 is divided by 10276980?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 4, f: 9}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37104 = 1658*x - 170146 for x.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -11*-1*1*(-6 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 117 - (-5 + 4). Let n(z) = 3*z**2 + 17*z - 30. Let g be n(-9). What is the highest common factor of g and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 - -252. What is the third smallest value in 81, -4, p?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 814.48 - 18.48. Let s = j + -795.9999619. Round s to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-5)\/(-180))\/(15\/18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 213.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-900) - (-1)\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r. Suppose 0 = -2*o - r*o. Let s be (o\/2)\/1 - 2. Put 1, 5, s in descending order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 89?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (4*(-4 + sqrt(13)) - sqrt(13) - (-5 + (sqrt(91)\/sqrt(7))**2 + sqrt(13) + sqrt(13))).\nAnswer: -22 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14633 is divided by 2912.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35101 - 35100.99960034. What is r rounded to six decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186087414+0.001225\nAnswer: 186087414.001225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 - y + 1 + 2*y**3 + y**2 + 4*y**3. Let l(n) = 8*n**3 + 24*n**2 + 22*n + 10. Let t(v) = -2*h(v) + l(v). Factor t(w).\nAnswer: 2*(w + 1)*(w + 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*r**4 + 15761*r**2 - 687584?\nAnswer: -16*r**3 + 31522*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/829, 4, -2\/11, -365?\nAnswer: 3\/829","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 308\/356739?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 60 = -36. Suppose u - 4*x = -4*u + j, 0 = -3*x - 6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11023 + 4?\nAnswer: -11014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1066410 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*u - 20, 0 = 3*l + 2*u - 12 - 0. Solve 5*i = 2*r + 15, 0 = -2*i - 3*r - 9 - l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p + 58. Let v be b(-10). Let n = 11 + -7. Let g = v + n. Solve 0 = 5*t + 5*x - 39 + 9, g*x + 3 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 52 + 98 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 184176680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1696 and 3371012?\nAnswer: 26968096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4195553 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:21 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144*j**3 - 157 with respect to j.\nAnswer: -432*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1314525 (base 7) to base 8\nAnswer: -520113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61780950 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(52)*2*-6)\/(-1*sqrt(64) + sqrt(4) + sqrt(12)\/(sqrt(3)*-1)))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from ahbbaav?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -14 + 23 + (-10226030)\/929637. Is d >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 13640*u - 9302480.\nAnswer: -5*(u + 1364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595 (base 13) in base 9?\nAnswer: 11327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -738, -643, -546, -447, -346?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15444*k**3 - 10*k**2 + 35*k - 9. Let v be i(7). Let q = v + 947546. Round q to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeyeeweeeeyeeeeyyy. What is prob of sequence yw?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -596 * -4819.3\nAnswer: 2872302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:09 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20136 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + 4*j)*(-2*j - 1 + 1)*(2 + 3 - 1)*(1 - 1 + 1).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*n**3*s**3 + 2*n**3*s**2 - 62*n**3*s - 5*s**3 wrt s?\nAnswer: 60*n**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u - 1. Let s(i) = 8*i**3 + 38*i**2 + 6*i + 6. What is -6*b(v) - s(v)?\nAnswer: -2*v**3 - 38*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297438782?\nAnswer: 2, 37, 137, 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 17 - 6 - 4 - 11 - q. Let f(i) = i + 17. Let t(n) = 0*n + 6*n - 4*n - 3*n - 34. Let v(x) = 7*f(x) + 3*t(x). What is 9*u(c) + 2*v(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 541, 4275, 14413, 34159, 66717, 115291, 183085, 273303?\n\"Answer: 534*u**3 - 2*u**2 + 2*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329*-0.004856.\nAnswer: 1.597624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 928*v**6 - 106*v**4 + 2*v**3 - 2161058*v**2?\nAnswer: 111360*v**3 - 2544*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -140.4. Let k = q - -6.4. Which is the third smallest value? (a) -20 (b) -5 (c) k (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = -5*o + 22. Let b = o - -34. Let v be 1*(1 + b - -3). What is the nearest to 1\/4 in -1\/7, -3\/2, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 179*q. Let m(z) = -17*z + 66. Let l(f) = -6*f + 24. Let j(c) = 11*l(c) - 4*m(c). Determine v(j(p)).\nAnswer: 358*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -32 + -4 + 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 121*n**6\/120 + 61*n**5\/60 - 89*n**2. Find the third derivative of c(h) wrt h.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + 3*r + 6. Let t(w) = -6*w**2 - 7*w - 13. What is -5*d(n) - 2*t(n)?\nAnswer: -3*n**2 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5690542379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -136074*l + 3129614. Determine c(23).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2. Let x(v) be the first derivative of -v**6\/360 - v**3\/3 - 1. Let u(j) be the third derivative of x(j). Give q(u(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75592415 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 221?\nAnswer: -221.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11745, 23519, 35293, 47067?\n\"Answer: 11774*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 2*h + 6. Let m be r(-4). Let y be 45\/6*m\/3. Let s = -3 - y. Solve s*i + 3 = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 6. Let y be j(4). Let t(p) = -5*p + 3. Let x be -2 + 2\/1 - -1. Let k(q) = x - q + 1 - 3*q. Calculate y*t(a) - 3*k(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 263335 + 306?\nAnswer: 263644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 14. Let i be (2 + -1)*(l - -222). Suppose 43 = -5*p + i. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:00 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8063 - -8333. What is the remainder when c is divided by (13\/(-4))\/(2\/(-24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132035829.\nAnswer: 3, 1231, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 10*g - 31. Let f(v) = -22*v + 5. Let b be f(1). Let d be l(b). What is the highest common divisor of 66 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -38. Suppose u + 7 = 2*w - l, u = w - 7. Solve 2*t + w*z = t + 6, 2*t = -2*z + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o**4 - o**5 + 0*o + 3*o**3 + 0*o**4 + o**4 + 2*o - 5*o**2 = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -213648 from -93023353.\nAnswer: -92809705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 5*p + 5. Let k(l) = l**2 + 6*l**2 + 4*l - 2*l**2 + 20 - 16 + l**2. What is 5*k(n) - 4*w(n)?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12842 is divided by 321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13)*u)**4*u**(-9\/5)\/u*((u\/u**(2\/35))\/u*u)\/u assuming u is positive.\nAnswer: u**(160\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooa when three letters picked without replacement from {a: 8, o: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 5*l + 1. Let h be o(7). Let c = h + 13. Factor 1\/4*z**5 + 0*z + 1\/4*z**2 + c + 3\/4*z**3 + 3\/4*z**4.\nAnswer: z**2*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*542.\nAnswer: -7588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 5 + 10*r - 6 - r**2 - 2. What is the tens digit of z(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 1 - 1)*(6 - 8 + 5)*(-3*o + o + 3*o)*(-2 + 4 + 0).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 + 334*o - 86. Is s(40) a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 5, z: 4, c: 1}. What is prob of sequence zchz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5388 - 4425. What is the lowest common multiple of x and 1605?\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2723 - 2826. Is i > -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 4*p + 51. Calculate f(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 - n + 5. Let s(c) = -c**2 + 1. Let v(y) be the first derivative of y**3\/3 - 4*y**2 - y - 141. Let a be v(8). What is a*z(k) + 6*s(k)?\nAnswer: k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*((g\/(g**11*g))\/g)\/g*g*g*g**(1\/5)*(g**(1\/3))**(9\/2) assuming g is positive.\nAnswer: g**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 15 + 3*c**3 + 4 - 4*c - 2*c**2 + 1 + 1 to o*c + y*c**3 + l + q*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7983353 and 3723.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 2*y - 96 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011110010101101 + -11?\nAnswer: 101011110010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100201003110311 - -10?\nAnswer: 100201003110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q. What is h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -429.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiujbbjbujgbjjjb. What is prob of picking 1 u and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 + 0*x**2)*(3 - 5 + 3 + (2 - 2 - 1)*(2 + 2 - 2) - 4 - 1 + 3 - 5 + 16 + 0).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:29 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**2. Let r(d) = -d**2. Let c(m) = -3 - 7*m**2 + 6*m**2 + 3. Let j(y) = -4*c(y) + 5*r(y). Determine o(j(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*y**3 - 4*c**3*y**2 + 129*c**3 - 10*c**2*y + 25*y**5 wrt y.\nAnswer: -12*c**3*y - 8*c**3 + 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1, t: 2, p: 1, r: 1}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(336) - (sqrt(336) + sqrt(336)*2)) - -1*sqrt(336)*-5)*-3)\/(3*(sqrt(343) - (1*(sqrt(343) + sqrt(343)*1) + sqrt(343) - sqrt(343)))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.35 - 2.32. Which is the nearest to 0? (a) u (b) 0.1 (c) 3\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 33*y + 1. What is t(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1. Let o(w) = 3*w**2 - 54*w + 90. Let r(u) = o(u) - 18*x(u). Factor r(b).\nAnswer: 3*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q - 4. Let o(f) be the third derivative of -f**4\/24 - 82*f**2. What is v(o(n))?\nAnswer: -12*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71c5ecc - 1?\nAnswer: -71c5ecd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**2 + 5*a - 19. Give x(4).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 168781284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 405410018?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {b: 11, r: 4, l: 4}.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 6, -2, -4, 40, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -45*i + 539. Determine m(10).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*n, s + 2 = 2*s. Let r = 0.53 + -0.03. Sort r, 0.13, n in descending order.\nAnswer: r, 0.13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -4, -0.03 in decreasing order.\nAnswer: 35, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 19. Let g = -0.1 - -3.1. What is the nearest to -0.1 in g, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2. Suppose -2*s + 4*t + 20 = 0, -s + 5*t + 22 = -0*t. Let u(i) = 1 - s - 4*i + 1. Give z(u(h)).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9285671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q - 3 + 0*q**2 + 1\/2*q**4 - 5\/3*q**3. Find the third derivative of x(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -10b11d6?\nAnswer: 10b11d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67\/3? (a) 0.2 (b) 0 (c) -167 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.2 - 652.8. Let s = r - -673. What is s rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, y: 3, z: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4*(-63)\/168*(-6)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 10*a**2 - a + 2. Let r be h(-10). Let s = r + 25. Suppose -27 = -4*l + s. Calculate the least common multiple of l and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k*k**1)\/(k**3\/((k\/(k\/(k**4*k*k*k)))\/k)) assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than 142.5254?\nAnswer: 142.6054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqfqqqf. What is prob of sequence qqf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 5*n + 112 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 3 = 2*c - 3*n, -c + 2*n - 8 = 0. Solve w = 1, -4*w + 2 + c = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -31516051.\nAnswer: 9454815.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820\/13370*(-1113)\/6?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40307 from 0.0483064521.\nAnswer: 40307.0483064521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10472239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 equal to 56\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 - 7*s - 3. Let c be o(2). Solve 2*a + c*a + 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10051488 by 4896.\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from hftbhtw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 5\/(190\/(-209)). Solve -3 - 9\/2*h**3 - q*h - 12*h**2 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3104449616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/7 and (-338)\/(-24) - 2\/(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55.21 and 0.08.\nAnswer: -4.4168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7484 - -7795. Calculate the remainder when 15548 is divided by x.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) - ((sqrt(4) - sqrt(40)\/(sqrt(70)\/sqrt(7) + sqrt(10))) + sqrt(4) + sqrt(4))).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 21. Let u be 1\/((-2)\/72 + 0). List the prime factors of u\/(-14)*h\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17678b (base 14) to base 15.\nAnswer: 11454a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 448144 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from kkdklkkkkdkkkdkdd.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - c - 239, 17*i = c + 351 + 476. Solve 47 = 16*f - i for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**17*g)*g\/((g*g**(-3\/4))\/g)*(g**(-1\/5))**27 assuming g is positive.\nAnswer: g**(-413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/3 - 8*l**3\/3 - 11*l**2. Differentiate p(s) wrt s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162125.\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -228 times -20\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 33 - (94 - (-3 + 89)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 35*w**2 + 3*w - 11. Let v(d) = -3*d**3 - 35*d**2 + 4*d - 12. Let r(b) = 5*a(b) - 4*v(b). What is the second derivative of r(i) wrt i?\nAnswer: 12*i - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -304, 3, -1, -2, -12 in descending order.\nAnswer: 3, -1, -2, -12, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -34*y + 1. Let q = 29 + -30. Is r(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from tffttfffffftwtt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16607936 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from ezaumarm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssktttwt. What is prob of picking 2 s, 1 t, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 122 + 307 = 0. What is the common denominator of 10\/((-5)\/(85\/8)) and 4\/(-18) - f\/(-45)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 98*i = 832 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 9 + 0*o + o - o**3 + o to m*o**3 + c*o + i + v*o**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 2. Let x = -2 + 6. Suppose -3*j = -0*j - 4*t + 4, -2*j - t = -1. Let i(r) = 0*r - r + j*r. What is x*i(p) - h(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1510 divided by 2\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.9 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -112 + -2?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(7\/(-168) + 3\/18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from {t: 19, y: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -4\/21*a**7 + 4\/3*a**4 + 0*a**5 + 0 + 0*a**2 + 0*a**3 + 0*a**6 - 15*a. What is the third derivative of d(r) wrt r?\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0161 * 109\nAnswer: 1.7549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*((2 + sqrt(128) + (sqrt(128)*-1 + -3 - sqrt(128)))**2 + 2*((sqrt(128) - (sqrt(128) + -1))*4 - sqrt(128))**2).\nAnswer: -448*sqrt(2) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -16 + 18*r + 1\/2*r**3 - 6*r**2 = 0. Calculate r.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 33*h + 60. Is t(-21) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14539, 14687, 14937, 15301, 15791, 16419?\nAnswer: 17197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200 - 4\/3*v**2 - 292\/3*v.\nAnswer: -4*(v - 2)*(v + 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -357, -1060, -2233, -3876, -5989, -8572?\n\"Answer: -235*z**2 + 2*z - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15095, -15465, -15835?\n\"Answer: -370*k - 14725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y\/(y**(-4)\/y)*y)\/(y**4*y**(-3)\/y)*(y*y**(-2\/5))**(26\/9)*(((y\/(y*y**(-2\/13)))\/y)\/y)\/(y*y**(2\/15)\/y) assuming y is positive.\nAnswer: y**(309\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15304504 is divided by 150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21498.\nAnswer: 2, 3, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -27*b**3 - 4*b**2 - 3*b - 5. Is t(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27428819 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q. Let k = 141 - 137. Let f(p) = k*p - 8*p + 9*p. Determine v(f(j)).\nAnswer: -65*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 9*k + 8. Is h(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11014.423 to the nearest ten.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0326089907 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 2*j + 1. Let o be z(-1). Is o != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 4)*(-59 + 59 + 29*l**3) + 478*l + 13*l**2 - 328*l + l**3 - 15*l**2 + 1 to c*l**3 + v + i*l + s*l**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1600*f**3 - f - 1072 wrt f.\nAnswer: -9600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*m**3 + 370*m**2 + 75*m = 0.\nAnswer: -15\/89, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -6*n + 9*n. Suppose 2*j = 1 - n. Let m(w) = 2*w**2 + 3*w - 1 - 3*w. Determine m(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11029 - 11005 = 12*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220.3 + -206. Let m = z + -14.2941. What is m rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67730000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 58*d - 162. Are d and 35\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8243 - -13415. List the prime factors of k.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = 72. Let c = -11 - w. Suppose 22 = -4*p + 5*h, 5*p + 5 = -c*h + 2*h. Is -3 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**2 + 2*t**2 + 3*t**2 - 5*t**2 - 2*t + 2*t + (t + 2*t**2 - t)*(-3 + 2 - 1) + 2*t**2 + 3 - 3.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.008 + 0.047. Let n = -32.7015858 + 32.7406. Let o = c - n. Round o to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 2*j)*(2 - 2 + 2*j**2) + (30*j**2 - 10*j + 10*j)*(-2*j + 3 - 3).\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325 by 3.\nAnswer: -325\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(19) + 2) - (sqrt(76)*-2 + sqrt(19))))**2.\nAnswer: -128*sqrt(19) + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33177*i*s - 76955*s with respect to i.\nAnswer: 33177*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 7*k**2 - 5*k - 7. Let b be v(6). Let g(z) = 6*z**2 + 2*z + 1. Let r be g(b). Solve -4*x + 3*x - r = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 5. Let q(p) = -9*p - 11. Let u(l) = 3*q(l) - 7*v(l). Determine u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7544 - -17275. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -14 - 5) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64\/24)\/(1\/(-6)). Let m(f) = 12*f + 209. Calculate the remainder when 381 is divided by m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:03 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 230*t**3 + 1520*t**2.\nAnswer: 5*t**2*(t + 8)*(t + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(660) + (sqrt(660) - -2*sqrt(660)))\/sqrt(12) - sqrt(55))\/(sqrt(45)*-2) + -5 + 4).\nAnswer: 1 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154515 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -229\/3. Which is greater: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174.3406875 milliseconds to weeks.\nAnswer: 0.00000028826171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y + 0*y**5 - 1\/35*y**7 - 1\/3*y**3 + 0*y**6 + 15*y**2 + 0*y**4 + 0. What is the first derivative of d(o) wrt o?\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6601*d + 6*d**2 - 6*d**2 - 5*d**3 + 6772*d to i + x*d + u*d**3 + j*d**2 and give x.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + 365\/(-15). Let k = b + 26. Suppose -2*m - 2 = -0*m, 2*a = k*m + 54. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 26 = 3*c + 2*j, -2*j = -4*c + 76. Let n(l) = 58*l**3 - 24*l**2 + l - 35. Let m be n(c). What is m rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 divided by -9?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w + 8*w**3 + 16*w**4 - 7*w**2 + 3*w + 0*w + 0*w**2.\nAnswer: w*(w + 1)*(4*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2 + 431*o + 6631. Calculate b(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**7))\/(i**(-6)*i))**(-1\/15) assuming i is positive.\nAnswer: i**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 1009 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15942 - 3606 = -4*u. What are the prime factors of u?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9445131 to the nearest integer?\nAnswer: 3073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*v + 0 - 6*v + (-2*v - 2*v - 3*v)*(-1 + 1 - 2) + 4*v - 3*v + 0*v - v - 5*v - v.\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*2*9\/(-9). Let a(c) = c**2 + c + 1. Let q(i) = 7*i**2 + 4*i + 4. Let k(o) = w*q(o) + 4*a(o). Let x(h) = 4 + 4*h - 4. What is x(k(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 7953280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 14*m - 1 + 9 - 3 + 3 in the form c + g*m and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4264649354?\nAnswer: 2, 7, 31, 9826381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose x*n - n = -2. Suppose -4*u + 35 = -r, -5*u + 3*u = -n*r - 10. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 9?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-2\/7) assuming i is positive.\nAnswer: i**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*z - 35, -49 - 84 = -5*n - z. Let j(s) = s - 101. What is j(n)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 25*w**2 - 2*w - 46. Let b be n(-25). Suppose -b*f + 177 + 171 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-12)\/8)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = 2, -10 = -j + 2*o. Put -1, -3, 4, j in decreasing order.\nAnswer: j, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -27 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 9. Suppose -5*d + 9 = -6*d. Let b be u(d). Suppose b = -o + 51 - 8. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1800 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -471143, 1 in descending order.\nAnswer: 1, -4, -471143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4714771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 103*x - 60. Let k be n(-20). Which is the nearest to k? (a) -2 (b) 1\/85 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -22. Let l be 0 - (28\/d - -2). What is the smallest value in 0.1, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7889967.\nAnswer: 4\/7889967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o = 5868 + 12282. Calculate the greatest common divisor of 99 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r + 2. Calculate d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3062 and 72.\nAnswer: 110232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 = -4, -a = -3*f - 5828. Let s = a + -3860. Suppose r - 745 = s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 18*t - 12. Calculate the remainder when l(-13) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 44\/389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 138*g**3 + 2*g**2 - 51*g + 179222.\nAnswer: 414*g**2 + 4*g - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.05 - 0.45. Let p = 25 + o. Suppose -2*m = i - 3, -4*m - 1 = -5*i - 0. What is the closest to -1 in p, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -9. Suppose -4*z - o + 27 = 0. Suppose 3*x = 2*b - z*b + 57, b - x = 9. What is the highest common factor of 126 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170042267 is divided by 313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/3*(-2)\/8. Let a be (-2)\/(2*d\/(-5)). Find the third derivative of r**5 - 2*r**2 - 5 + a wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**5 + 154*w**4 - 1000*w**3 - 2400*w**2 + 32000*w - 20000 = 0. What is w?\nAnswer: -5, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 + 1144680*q**3 + 3433990*q**2 - 1144680*q - 3433995 = 0. What is q?\nAnswer: -228933, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01392781 and -0.5.\nAnswer: -0.48607219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*r + 5 = 0, -a + 29 - 11 = 3*r. Suppose -s - 5 = 5*n, -3*s - 5 = a*n + 2*n. Let o = 0.4 - -0.1. What is the second smallest value in 2\/11, s, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*i - 28. Let n = i + -6. Let m be n\/2 - (-5)\/(-10). Round m to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/33 - 1230\/1320)*-8. Solve 49*v - 55*v = -w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36131568 rounded to three dps?\nAnswer: -0.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r + 3*r + 2*r)*(-37*r + 37*r + 3*r**3) - r**4 + 2*r**3 - 2*r**3)*(-13 - 9 - 49).\nAnswer: -142*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 5*r - 4. Let y be k(3). Suppose 0 = 5*q + 2*s - 207, 2*q - 54 = -y*s + 24. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -341b?\nAnswer: 341e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71886 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*f + m - 3*m, -5*f = -2*m + 90. Let l = f - -27. Let x = l - 6. Solve 2*b + 7 = 3*h, b = x*b - 4*h + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -5293.\nAnswer: -1058.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 5 + 5)*(4*k - 2*k + 0*k) + 5*k + 3*k - k)*(1 + 6 - 3) to h*k + p and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 1210297872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*o + 30, 5*n - 3*o - 100 = -32. Let g = 127 + -76. What is the remainder when g is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 4. Let w be q(5). Let m(r) = 3*r**2 - 3*r + 3. Let y be m(w). Suppose -3*b = 33 - y. Solve -i = 3*i + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660731508?\nAnswer: 2, 3, 571, 32143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/4 + 7*b**3\/6 - 42*b**2 + 44*b. What is the first derivative of l(h) wrt h?\nAnswer: 6*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4*m**2 + 169*m - 8 - 169*m - 2*m**2 to w*m + f*m**2 + n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8594202 divided by 554\nAnswer: 15513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100972*v**2*y**3 - v**2*y - 4*v**2 + 28*v*y**2 - 112*y**2 wrt y.\nAnswer: 605832*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-2*sqrt(16)) + -2.\nAnswer: -2 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 4) to base 10.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209840 and 1720?\nAnswer: 209840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.17 - -0.17. Let t = s + 8.2. Which is smaller: 2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 432, 2, -8, 0, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2218*k + 30 = 2212*k. Suppose -2*m + 24 = -6*m. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**8\/420 - a**4\/6 + a**3\/2 - 5*a. Let u(r) be the second derivative of w(r). Differentiate u(b) with respect to b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195\/(-6)*(-8)\/5 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4311 = -141. Let u = r - 4979\/6. What is the common denominator of 14\/(-231)*3\/2 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82007 (base 9) in base 16?\nAnswer: -d2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1411 + 0?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**2\/2 - 19*m = 0.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98666*f - 98672*f - 120 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 38791.\nAnswer: 387910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.6 - -127.3. Sort -0.1, -1\/6, -3, p in decreasing order.\nAnswer: -0.1, -1\/6, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 30*i**2 + 25*i - 19. Is b(-29) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9 + 75. Let t = i + -19. Is 16 - (-2 - (t - 4)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9. Let h be 12 + y*(-1)\/2. Suppose -n + 3 = -h. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 119 (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10*h - 20. Suppose -2*b = -h*b + 6. Suppose 2*v = 5*c - b, -10 = -2*c - 3*c - 5*v. Solve -4*u + 2*m = -10, 4*m + c = u - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/54)\/(((-7)\/27)\/(-7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -158161*o. Let k(p) = -3*p**2. Calculate k(t(g)).\nAnswer: -75044705763*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -118, -2, -5, 2, -49.\nAnswer: -118, -49, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -39*p**2 + 2*p. Let f = -14 - -12. Let q(d) = d**2 - d. Let x(s) = f*q(s) - v(s). Let c(w) = 2*w. Calculate c(x(a)).\nAnswer: 74*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p - 735 = -5*m, -720 = -5*m + p. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31328271851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*t + 229*t = -4295 - 3235 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24372 + 25476. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 100*d**2 + d + 56. Let m(x) = 4*x**3 - 101*x**2 - x - 56. Let b(p) = 3*l(p) + 2*m(p). Find the second derivative of b(r) wrt r.\nAnswer: 12*r + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22*x. Let b(i) = i**2 + i + 11. Let z(u) = -10*u**2 - 8*u - 88. Let j(o) = 24*b(o) + 3*z(o). What is j(y(k))?\nAnswer: -2904*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-8 + (-9 - -22) + (-2 - 5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -52 in descending order.\nAnswer: 1, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/(-3) + (-5)\/(-15). Let k = x - -43. What is the remainder when 109 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2449 or -2453?\nAnswer: -2449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p**2 - 222*p - 1052. Calculate f(32).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgfg when four letters picked without replacement from {f: 2, g: 9, b: 8}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21835000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12453235\/223 - -55844. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -4 (c) -1\/18 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3448214 - 2088214. What is y rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16954831549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, p: 1, h: 1, k: 3, y: 3, b: 1}. Give prob of picking 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45466, -90869, -136260, -181633, -226982, -272301, -317584?\nAnswer: -362825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(sqrt(152)*1*-1)\/(sqrt(8)*-1*3 + sqrt(8)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1981014 and -47\/13536929.\nAnswer: 81221574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -10. Let g = f + 0.8. Which is the second biggest value? (a) 5 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251398 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-15.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71738.\nAnswer: 2, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or -130?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89412946 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - 117 - 10) + 57?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7794351 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-347*s + 157*s + 84*s)*(35*s - s - 3*s).\nAnswer: -3286*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 27*h - 82. Let c be k(20). Put -2, 5, c in decreasing order.\nAnswer: c, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 100, -107, -428, -881, -1484, -2255, -3212?\nAnswer: -4373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 2*d + d)*(-1853 - 808 - 969 + 334 - 3665) in the form j*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -0.3307.\nAnswer: -0.3307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-39)*5)\/(4125\/(-3300)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 + 3 - 34) - (-2 + (-163 - -155)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 970 + -847. Suppose 0 = 120*y - n*y + 138. What is the greatest common factor of 299 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 508 = 1588. Suppose 2*k - 241 = -5*n + 392, 2*n + 5*k - l = 0. What is n rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48687 + 0.4.\nAnswer: 0.88687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2811, -5492, -8161, -10818, -13463, -16096, -18717?\nAnswer: -21326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 3*v - 3. Let h be g(3). Let r be ((-4)\/h)\/((-4)\/(-6)). Suppose 4*k = -4*w + 16 + 24, k - 13 = -r*w. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161.2 - -214. Round n to zero decimal places.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + v - 10 = -0*g, 5*v + 10 = -5*g. What are the prime factors of (-384)\/(-12) + g + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -30*a + a - 31 + 95 - 31 - 35. Let b(q) = -10*q - 1. What is 8*b(c) - 3*t(c)?\nAnswer: 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -55282?\nAnswer: -55273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 68.2 + 3316\nAnswer: 3384.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 11 = -f, -3*f - f = 3*c - 24. Solve f*v + 6 = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5\/3, -9, 288 in decreasing order.\nAnswer: 288, 18, 5\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:29 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 2. Let u be j(-5). Find the first derivative of 2144 - 2133 + 4*k**3 + 38*k**4 - 4*k**u wrt k.\nAnswer: 152*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:00 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -22. Let i(v) = -v**3 + 9*v**2 + v - 8. Let p be i(9). Sort p, 2, t in descending order.\nAnswer: 2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(10\/(-8) - -2). Let w be 29\/(-2 + (n - 0)). Suppose 17 - 5 = -3*h, -v + w = -5*h. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*r**5 - 13*r**2 - 3*r**2 - 2*r**5 wrt r.\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22024833 and 783?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 13*x + 12. Is 12 a factor of 27\/(-3 - x) + -3 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -14) + (-1 - 0 - (-13 + 28 + -21)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:11 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -100 + 24. Let y(q) = q + 13. What is the remainder when d is divided by y(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 50993805*b**2 - 130018432915800*b - 130018381922000.\nAnswer: -5*(b + 1)*(b + 5099380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9157*x**2 + 2448 wrt x?\nAnswer: -18314*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 5 + -6 + -9 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.48 (b) -0.1 (c) -5 (d) -7 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(32\/(-60))\/8?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*((a*a\/(a\/(a*a**(-15)*a))*a*a*a)\/a)\/a)\/(a**(-40))**(19\/2) assuming a is positive.\nAnswer: a**(1844\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457984 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 223*m**2 - 149*m + 33. What are the prime factors of f(7)?\nAnswer: 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 147. Let b(i) = 2711*i + 5. Give w(b(p)).\nAnswer: -29398084*p**2 - 108440*p + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350.369km in micrometers?\nAnswer: 8350369000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 10 + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19032 divided by 1.\nAnswer: -19032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 80*d**2 - 2513*d + 1767. What is w(104)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205300231?\nAnswer: 127, 9490553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 26*f**2 + 4. Let w be v(-26). Suppose 5*o = 3*i + 1, 0 = -4*o + 12 - w. Solve -i*t = -4*x + 20, 5*x + t + 2*t - 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4868*b + 9702*b - 4859*b - 133 + 137.\nAnswer: -25*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 10. Let b(h) be the second derivative of h**4\/6 + 5*h**2\/2 + 2*h. Let z(p) = -13*b(p) + 6*l(p). Differentiate z(o) with respect to o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-8 - -13) + 5 - (1 - -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35918908783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - 137382?\nAnswer: -137442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47 (b) 154 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 5, -5, 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 529 - 531. Let z = 4 + -1. Which is the nearest to -0.3? (a) z (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 6 + 2*y**2 - y**3 + 2*y**3. Let x be f(0). Put x, -1, -4 in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -56*x + 80. Let w be s(-26). Let z = w + -497. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -10*a**7\/21 + 95*a**6\/6 - 112*a**5 - 3415*a**4\/6 - 2470*a**3\/3 - 845*a**2\/2 + 4*a + 72. Solve o(m) = 0 for m.\nAnswer: -1, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-3 - 3)*3\/4. Suppose 560 = d*n - 124. Let q = n + -12. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 7 - 9. Suppose -2*k = -10, -4*v + k + 57 = 6*k. Let b(p) = -p**3 + 9*p**2 - p - 9. Calculate the remainder when b(v) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-3)*(-39)\/26. What is the second derivative of -5*k**2 + 7*k**u - k**2 + 5*k - 2*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21 - 126 - 175 + 6*m - 9*m + 8*m + 5*m**2 = 0. What is m?\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b - 20. Give g(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**3 + 26 - 26 + 0*y**3 - 5*y**4 - 5*y**2.\nAnswer: -5*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 886.03861 - 885.63860989. Let u = 4.4 - 4. Let f = u - i. Round f to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**2\/2 - q + 1. Suppose -w - 3*w = -20. Suppose 0 = -2*l + 1 - w. Give i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 - 17*h**2 + 3*h**2)*(-h + 1 + 4*h - 2*h) in the form p + n*h + o*h**2 + g*h**3 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2 + -12 + 14. Suppose -4*y = -m + 19 + 3, 2*m + 3*y + 11 = t. Factor 1\/3*k**m + 2\/3 + k.\nAnswer: (k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 64 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12259263, 12259261, 12259259?\n\"Answer: -2*a + 12259265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 3 + 1 - 111*b**4 + 23*b**4 + (b**3 - 3*b**2 + 3*b**2)*(17*b + 45*b + 14*b) in the form v + f*b + x*b**4 + q*b**2 + p*b**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -4*b**6\/15 - 27*b**5\/5 + 15*b**4 - 2*b**3\/3 - 30*b**2 - 444*b. Suppose y(o) = 0. Calculate o.\nAnswer: -15, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1156\/24043 - 3944447417\/480860. Let x = b + 8206. Find the common denominator of -41\/6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Let o(c) be the second derivative of -11*c**5\/60 + 31*c**3\/3 + 55*c. Let u(f) be the second derivative of o(f). Determine x(u(t)).\nAnswer: -484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 71 = 3*y, -5*y + 75 + 30 = -5*m. Calculate the remainder when 248 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0993 + 110.9007. Which is the second smallest value? (a) 2\/7 (b) 4 (c) g (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -52 (c) 0 (d) -0.127 (e) 0.1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32713 and 3?\nAnswer: 0.98139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2\/5 - 68076*m\/5 = 0. What is m?\nAnswer: 0, 22692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekt when three letters picked without replacement from {t: 1, e: 6, a: 4, b: 2, k: 2, q: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/13)*y)\/y)\/((y**(-1\/7)\/y)\/y))**(-33)\/((y**(1\/4)\/y)**(-18\/13)\/(y**(-2\/7)*((y*y**(-1\/4)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-5739\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-72)*(-16)\/((-32)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 69?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 - -90. Is (16\/(-6))\/(12\/p) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1547.2 - 1544.2. What is the biggest value in -1036, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11442, -22805, -34084, -45279?\nAnswer: -56390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 + 2\/(-1))*(132 - (-77 - -210))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a - 10. Let k(j) = -j. Let v(b) = -6*k(b) + p(b). Let s be v(-4). Solve 0*t + 5*t - s = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 = 7*n - 503 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4275065801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5005 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-8)\/14)\/1)\/((-52)\/182). Suppose -b*t + 1176 = 3*v, 3*t + 9*v = 10*v + 1786. Calculate the remainder when t is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 58*d + 130 + 527 + 883 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**5*z**2 + 515*y**3*z**2 - 2*y*z**2 + 798*y + 2*z wrt y?\nAnswer: -20*y**3*z**2 + 3090*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-276)\/(-3) + -3 + (145 - 144)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30537 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -983\/12 + 82. Is u > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.127021 equal to -0.0085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1986979586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j**2 - 580*j + 15. Determine o(58).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21111201 (base 3) in base 8?\nAnswer: 12541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = 13. Let u be 6 + q + 4\/(-3). Solve u*p - 2\/3*p**2 + 2\/3 - 2\/3*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56482560 is divided by 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780926558 + 33*o**2 - 780926558.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 4*o**5 - 4*o**4 + 8*o + 20*o**2 + 2*o**5 - o**5 + 12*o**3.\nAnswer: -4*o*(o - 2)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 934.76 from 0.\nAnswer: -934.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -50747*z + 1. Let t(v) = -v + 294. What is d(t(k))?\nAnswer: 50747*k - 14919617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -783*l**5\/5 - 43*l**3 + 3*l**2\/2 - 2*l - 2136. Find the third derivative of u(m) wrt m.\nAnswer: -18792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -42. What is the second smallest value in 5\/4, 0, -4, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/3 - -9\/7. Is 0 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1. Let f(c) = 35*c**3 + 7. Suppose 9*s + 3*u + 12 = 0, 5*s - 2*u + 13 = 10. Give s*f(q) + 7*d(q).\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8387690 or -31\/5?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2. Let n(q) = -5*q**2 - 3*q - 3. Let k(x) = -5*x + 16 + 26*x**2 + 12*x + 13*x - 4*x. Let w(h) = -3*k(h) - 16*n(h). What is w(g(a))?\nAnswer: 98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241798?\nAnswer: 2, 120899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * 15.6.\nAnswer: -920.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/4 of a tonne?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(675) + 0.\nAnswer: 1 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*p - 259*p = -131202. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 111630958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 273*i**2 + 111*i**2 + 259*i + 159*i - 6 + 347*i.\nAnswer: 3*(i + 2)*(128*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 268 = -1044. Suppose -6*w - 56 + t = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + (-195 + 102 - -47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.1 + 0.1. Which is the biggest value? (a) 3 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-76)\/(-4864)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9035*b - 2*b**3 + 9035*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 57647471?\nAnswer: 57647470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrxrryryyydxxyyr. Give prob of sequence dy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 1424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/35)\/(6 + 9 - 1192\/80)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -6*h + 4. Let r(k) = -115*k + 12. Let g be r(h). Suppose g = a - 136. List the prime factors of a.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 119. Suppose -3*j = 2*o - 326, -5*o + r = 3*j - 293. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66464760 and -0.03?\nAnswer: 1993942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 144. Are -5\/9 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3042 = -2*c - 2993, -8*c = -5*b - 31 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 177541053?\nAnswer: 177541060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31926, 63947, 95956, 127947, 159914?\nAnswer: 191851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 + 179. Calculate the common denominator of (-172)\/t*(18\/(-48) - -1) and 125\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 - 248.98. What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33961.4794 rounded to the nearest one hundred?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1717524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2004 and -83\/8350?\nAnswer: 50100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 8. Let s(d) be the third derivative of -d**4\/12 - 3*d**3\/2 - 4*d**2. Let z(q) = 5*o(q) + 4*s(q). Determine z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1135.9? (a) 1\/4 (b) 0.02 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + f = 20, -11*i + 2 = -9*i - 5*f. Solve -z - 5 = -i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 738\/30 - (-4)\/10. Let b = -1 + -17. Let c = l - b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*l + 296*f**2 - 2311*f*l wrt f?\nAnswer: -4*l + 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.693983 kilometers?\nAnswer: 9693983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loolccolllocl. Give prob of sequence cl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmdmmmmjmmjjmdm?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/149314957?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x**2 - 1. Let n be g(-3). Suppose 2*h + 3 = -5*d, -d - 4 = -3*h - 0*d. What is the highest common factor of h and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21311212 (base 7) in base 11?\nAnswer: -1031994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 21*i + 140. Calculate the smallest common multiple of 7 + -1 - 0*(-6)\/(-12) and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*b - 4*n, 5*b - 3*n = 2*n - 35. Let u = b + 11. Calculate the remainder when 13 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 80*z**4 + 581*z + 356. Differentiate b(g) wrt g.\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2539968 to three decimal places.\nAnswer: -6.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - af?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2010?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 6) to base 15\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + 0 + (sqrt(175) - (-1 + sqrt(175) - sqrt(175))) + -5*(4 + sqrt(175)*2) + -4)**2*1.\nAnswer: 2340*sqrt(7) + 14851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 209 + 106. Suppose 5*y = 2*y + z. What is the remainder when 24 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 204.16 (b) 1\/12 (c) -4 (d) -122\/19 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 136502 (base 8) to base 16\nAnswer: bd42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6613715, -6613719, -6613725, -6613733, -6613743?\nAnswer: -6613755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 18 = 5*g. Let f(a) = 11*a**3 - 10*a**2 - 19*a + 17. Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120210012 (base 3) to base 2.\nAnswer: 10110011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0143237 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66)\/sqrt(3) + sqrt(22))\/sqrt(2)*-6)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 142*j**2 - 1. Let k be a(-1). Suppose x = k - 17. Is x a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 360, 1004, 2130, 3864, 6332, 9660?\nAnswer: 13974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6083023\/232 + 26220. Find the common denominator of (-3 - -6) + (-812)\/72 and z.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -2.3. Let s = -1.1 + f. Let t = -0.2 - -5.2. Which is the closest to 0? (a) 1 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(12)\/(-3*sqrt(96)) + (-3*sqrt(2)*2 + sqrt(2) + sqrt(200) + 2)**2)*6.\nAnswer: 239*sqrt(2)\/2 + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 + 3*d**2 - 3. Let j = 0 - -1. Let n be 22 + (j - 3) + 4. Suppose -4*g = -n - 32. Let b(w) = -9*w**3 + 7*w**2 - 7. Give g*x(u) - 6*b(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131239076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - 9)*(-5)\/3. Suppose 14*n - 16*n = -10. What is the greatest common factor of n and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -h + 2*a + 16, 4*h + 4*a = -40. Let i(q) = -12*q**2 - 9*q. Let c(b) = 25*b**2 + 19*b. Determine h*c(w) - 13*i(w).\nAnswer: 6*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96768 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.144307 months to decades.\nAnswer: 0.042869225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 - 487*l**2 + 487*l**2 + 13*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -39*h**2. Let k(l) = -44*l**2. Give x(k(r)).\nAnswer: -75504*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(560) - sqrt(3500)*2)\/(((sqrt(40) - sqrt(160)\/(sqrt(16)\/sqrt(4))) + sqrt(40))\/(sqrt(64)\/sqrt(2))).\nAnswer: -64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29529\/4 or 7383?\nAnswer: 29529\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 + 255 + 423*t**4 - 134 + 44*t**2 - 123 wrt t?\nAnswer: -120*t**3 + 10152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518370000 rounded to the nearest 1000000?\nAnswer: 518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 11610.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 84*h**2 - 88*h.\nAnswer: 4*h*(h - 22)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**6\/240 + 4*z**4\/3 - 28*z**2. Let h(x) be the second derivative of n(x). Determine h(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 312, 2\/7, 106, 3\/88 in descending order.\nAnswer: 312, 106, 2\/7, 3\/88, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1088 + 22859\/21. Let i = -80\/9 + 314\/27. Find the common denominator of k and i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q. Let h(b) = b. Let n(p) = 5*h(p) - s(p). Let g(j) = 2. Let t(d) = -d + 5. Let i(w) = 5*g(w) - 2*t(w). Give i(n(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) 1 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.2 (c) -0.3 (d) 4\/296651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3147191, -3147190, -3147189, -3147188, -3147187, -3147186?\nAnswer: -3147185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 12*a**2 + 2*a - 2. Let w be t(12). Calculate the common denominator of 1468\/880 - (-4)\/w and -31\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 913666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + 3*c - 11. Give z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-16)\/h)\/h)**(-21) assuming h is positive.\nAnswer: h**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 10*w**2 + 13*w + 33. Let z be n(-14). Suppose -188*h = -187*h - z. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 206*p + 581. What is the tens digit of c(-129)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -59*y**2 + y - 273. Let f(p) = -104*p**2 + 2*p - 545. What is -4*f(h) + 7*o(h)?\nAnswer: 3*h**2 - h + 269","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.312 * 2.00082.\nAnswer: 2.62507584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 180.7765 times 0.06\nAnswer: 10.84659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353\/40 - 61\/8. Solve m*z**3 + 0 + 2\/5*z**2 + 2\/5*z**5 + 6\/5*z**4 + 0*z = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (2 - (11 - 1)) - (4 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885710.\nAnswer: 2, 5, 7, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7170*h - 156*h**3 + 3583*h + 3583*h + (h**2 - h**2 - 2*h**2)*(-3*h + 0*h + h) + 0 + 0 + h**3.\nAnswer: -151*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (3 + (-8 + 16 - 15))) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 5. Let k(o) = -3*o + 8. Let n(r) = -8*b(r) - 5*k(r). Let x(q) = -11*q - 5. Let i(w) = 2538*w + 1175. Let h(l) = i(l) + 235*x(l). Give h(n(u)).\nAnswer: 47*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89962\/9 + 9996. Which is the biggest value? (a) 0.1 (b) -340 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -51. Suppose 2*g = -3*n + 17, 4*g = n + p - 9. Suppose g*c = -0*c - k + 251, k = -1. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + 0*v - 5*v + (2 - 2 - v)*(1 - 4 + 5))*(0 + 2 + 4) + 0*v - 4*v - v to c + s*v and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/16 and 63\/92816438.\nAnswer: 742531504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-6))\/((-90)\/(-1134)). Solve f + 10 = 13*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 46 + 165. Suppose -s*c - 15 = -22*c. Solve 0 = -2*z + 1 - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -195526\nAnswer: 13686.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.663?\nAnswer: -0.3315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 497\nAnswer: -100\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*b - 4, -6*r + 4*r = -b + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/5 + 2455174*f**2\/5 + 12275849*f\/5 + 9820676\/5 = 0.\nAnswer: -2455169, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + -60717259096.\nAnswer: -60717259174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/21516 and 83\/326.\nAnswer: 21516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27.13 or -8\/11?\nAnswer: 27.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(288) + -2 + -1 - (sqrt(288) + -2*sqrt(288)*3)) + 3)**2*6*3.\nAnswer: 7776*sqrt(2) + 186786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 28 = 20*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -191, 3, -2, -3 in ascending order.\nAnswer: -191, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18a1 (base 12) to base 9\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4261, -4261, -4255, -4237, -4201, -4141?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r + 4\/9 + 2\/9*r**3 + 0*r**2.\nAnswer: 2*(r - 1)**2*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -0*s. Let p(a) = 3*a - s*a + a**2. Let m(l) = 2*l + l - l**2 - 3*l. Give m(p(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**2 - 16*h + 14. Let d be a(11). Let o = d + -920. Does 37 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552.1249ml to litres.\nAnswer: 0.5521249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0*y - 5\/6*y**3 + 1\/10*y**5 + 11*y**2 + 0 + 1\/12*y**4 + 1\/120*y**6. Does 5 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/8 - 21*r**3\/8 + 135*r**2\/8 - 351*r\/8 + 81\/2.\nAnswer: (r - 12)*(r - 3)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - 3\/(-12). Let k be (c - -1)*(7 + -2). Let h = -1.5 + -2.5. Put h, k, -3 in decreasing order.\nAnswer: k, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g - 4. Let f(d) = -3*d**3. Let w be f(-1). Let c be k(w). Is -51 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2 + 4984*i + 3546.\nAnswer: 2*i + 4984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 77\/12 (b) 4 (c) 14 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409\/4 - 97. What is the common denominator of -51\/148 and o?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1803 + 1803. Suppose -4*k = 8 + 4, -1 = 4*x + 3*k. Solve s*f + 2 = -x*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 2 in descending order.\nAnswer: 2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62123149 to the power of 1\/2, to the nearest integer?\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 124\/5. Let w be 208\/(-28) - 2\/1. Let o = 9 + w. Sort c, o, -3.\nAnswer: -3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - 30*r**2 - 10*r - 15. Let x be s(-10). Which is bigger: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -80, 309, 864, 1591, 2496?\nAnswer: 3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 263283*f**3 + 108*f**2 - 9478188*f = 0.\nAnswer: -6, 0, 6, 87761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/360 + z**5\/90 + z**4\/72 + 165*z**2. Determine o, given that v(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -181, -150, -85, 26, 195, 434?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = -2*b - 27*p - 4, -124 = 40*b - 4*p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + 188\/30*(0 + -1) and 125\/306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280184943?\nAnswer: 3, 521, 179261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4\/7*b**2 - 2\/7*b**4 + 1\/7*b**5 + 0*b + 0 - b**3 = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 3*h - 2. Let i be w(-3). Let z = 5 + i. Suppose v - z*v = -108. What is the highest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 1 + 8*k**2 + 0*k**3 + 4*k - 2*k**3 - 3*k. Is c(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 18*p**2 - 2037*p - 3805. What is q(115)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 4 - 3*h**2 - 17*h - h**4 + 11*h - h**3 + h in the form j + a*h**2 + z*h + p*h**4 + g*h**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 7*i**2 - 6*i**2. Let v(x) = -10*x. What is d(v(g))?\nAnswer: -1200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let i(u) be the first derivative of 0*u**4 - 2 + 0*u + 0*u**3 - 6*u**2 - 1\/30*u**5. Let p(y) be the second derivative of i(y). Give p(w(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/411, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 62*s**3 - 186*s**2 + 322*s - 86. Let i(g) = 20*g**3 - 62*g**2 + 107*g - 28. Let y(t) = -5*b(t) + 16*i(t). Suppose y(m) = 0. Calculate m.\nAnswer: 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199.628 - 201. Let w = k - -0.112. What is w rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 2*(1 + sqrt(272))**2.\nAnswer: 16*sqrt(17) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 74978a (base 13) to base 10\nAnswer: 2734365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 39.199.\nAnswer: 2.74393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-20)*444\/777?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2 - (-440)\/(-80). Let w(o) = 10*o**2 - o + 2. Let i(u) = -12*u**2 + u - 3. Let j(q) = a*i(q) - 5*w(q). Determine j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(1 - 5 + 1)*(-5*h - 5*h + 2*h).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -41. Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -1\/303?\nAnswer: -1\/303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b - 11. Let g = -4 + 6. Suppose g*n + 3*k + 33 = -3*n, -5*n - 61 = -4*k. Does 12 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 23*b**7\/210 - 29*b**4\/24 + 8*b**2. Find the second derivative of q(i) wrt i.\nAnswer: 276*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 + 4*h - 1. Let v be r(3). What is the remainder when (86*v\/8)\/(13\/26) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 7*y**2 - y - 1. Let q be p(7). Let r be (q\/(-12))\/(-2 + (-7)\/(-3)). Sort -4, 4, r in increasing order.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -22*f**2 + 5*f - 5. Let u(i) = i**2 + i - 1. Give -b(n) + 5*u(n).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 5*u**2 - 6*u + 3. What are the prime factors of x(-5)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1138*c + 38686. What is u(-34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 287578?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 16*x**5\/5 + 13382*x**4\/5 + 1086776*x**3\/5 - 1798052*x**2\/5 + 282168*x\/5 + 83142 = 0.\nAnswer: -745, -93, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, 2, 0, -4 in decreasing order.\nAnswer: 3, 2, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/2567907533?\nAnswer: 3\/2567907533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -297 at most -303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-15)\/(-6) - 1). Let c be (3\/x + 2)*-1. List the prime factors of (-1 - c) + 0 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48187595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 821, 820, 819, 818, 817?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -245, 0.4, 2, 5, 0.5.\nAnswer: -245, -5\/6, 0.4, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 11. Let w be b(-6). Let j = 27 - w. Let g = 35 - j. Solve 1 = 2*h + g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 6*j + j - 3. Let d be l(-2). Suppose d*f + 17000 = 4*f. Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 less than or equal to 230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 + 14*i**2 - 25*i**3 - 124*i**3 + 6*i**3 + 191*i**2 wrt i.\nAnswer: 180*i**2 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0\/(3\/(-1)). Let l = -5461 - -5474. Solve t*h + 11 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002697549754 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 565.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 188612051.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - -0.2. Which is the biggest value? (a) z (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-676)\/(-60))\/13.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29767 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z + 823. Let v be j(10). Let i = -701 + v. Find o, given that -7\/2 + 1\/2*o**i - 3*o = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*q - 14. Suppose -3*r - 5*o - 6 = 13, -q*r + 2*o = -20. Suppose 3*p - 248 = -3*c + 2*p, -5*c + r*p + 428 = 0. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1345957 + 1345957 - 102*t to the form r + i*t and give i.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 2*s**2 + 1\/24*s**6 + 0*s**3 + 5\/24*s**4 + 0*s + 0*s**5 + 0. What is the second derivative of m(c) wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 10. Let u(y) = -18*y**2 + 2*y + 42. Calculate 4*s(l) - u(l).\nAnswer: 22*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144884568?\nAnswer: 2, 3, 6036857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 6*h + 6. Let y be i(-4). Let o = 167 - y. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, y: 6, s: 3, o: 3}. What is prob of sequence so?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Suppose -5*k = c*m + 2, -4*m - 30 = -5*k + m. Suppose 55 = 5*s - 5*p, -k*p = -0*p + 8. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 20*r**2 - r + 52. Let f be m(-20). Suppose -f = -12*c + 36. Solve 0*b = -3*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4542)\/30 + 9)\/(5 + 3157\/(-630))?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120540 or -120413?\nAnswer: -120413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*v + 378, -3*v + 0*p + 2*p = -543. Suppose -2*h - v - 153 = 0. Let t = 43 - h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + q + 7. Let s = 73 + -79. Give c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let d(y) be the second derivative of -y**5\/30 - 3*y**2\/2 - y. Let g(v) be the first derivative of d(v). Give f(g(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 464 + -56143\/121. Let q be (-27912)\/(-44)*1\/440. Let z = q + n. Find the common denominator of -1\/12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -5. Let v be (-34)\/(0 + 1 + i). Suppose 14 = 4*x - v. Solve -2*z - 5*y = -6*z - 16, 3*z + 2*y = -x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1 + sqrt(180))*5 - (sqrt(180) - ((-1*sqrt(180) - sqrt(180)) + 4))) + -5 + -2)**2.\nAnswer: 144*sqrt(5) + 25921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1036 + 1064. Solve t*g - 32*g - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 4:16 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14989 + 31040. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 18*m. Let s be y(15). Find the second derivative of -68*n**3 - 16*n + 0*n**2 + s*n**3 + 0*n**2 wrt n.\nAnswer: -138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from yyckkkkjkdcdkyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 10. What is s(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 15*c**2 - 8*c - 29. Let s be (5\/15)\/(4\/(-120)). Is 18 a factor of j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040450 (base 6) to base 15.\nAnswer: -10629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 0.8?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4 - 2835*f**3 + 468800*f**2 - 20514240*f - 460180480 = 0.\nAnswer: -16, 136, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*k + i, -10*k + 2*i = -12*k - 8. What is the biggest value in 0, -2\/3, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*l**4 - 8*g*l**3 - 20*g*l + 5*l**5 + 10*l wrt l.\nAnswer: 24*g*l**2 - 48*g*l + 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, c: 10, m: 1}. Give prob of sequence vc.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-3)\/351). Let y = a - -130. What is the greatest common divisor of 130 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 136921, 136913, 136905, 136897?\n\"Answer: -8*h + 136929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1315531 (base 6) to base 16\nAnswer: -11b6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 409*r + 1296 wrt r?\nAnswer: 409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-81)\/87 + 1)\/(9\/63). Which is the nearest to 1? (a) 1 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 49*j - 52. What is l(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (26 - (-30 + 31))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 0.3. Let h = f - 0.3. Let y = 0.69999989 - h. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Suppose 4*i + 16 = 0, -m + 4*i + 16 = -3*m. Is n equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = -4*a - 6, -3*a = -3. Let q(p) = -p**2 - 2. Let h be q(0). Let i(y) = 2*y + 1. Let r be i(h). Is r < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 1 - 1)*(2 - 6 + 3)*(-3 + 4*x + 3).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 9 (c) -16 (d) 1\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.45 * -17.71\nAnswer: 25.6795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k + 21. Let w(m) = -35*m - 5 + 19 + 22*m. Let s(g) = -5*q(g) + 8*w(g). Find the first derivative of s(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/9 + 43718*z**3\/9 - 256073986*z**2\/9 + 184096528186*z\/9 + 61450881964\/3 = 0.\nAnswer: -1, 834, 10513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9783\/5 - 1957. What is the second biggest value in -21, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r*x**2 - 6*r + 48*x**4 + 3 wrt x.\nAnswer: -4*r*x + 192*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 716 - 702. Let g be 3842\/238 + (-16)\/p. Solve -n = 3*z - 17, 2*n = 7*n - 5*z + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k = 4*d - 73*k - 28, -5*k = -4*d + 28 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 - 0.6. Let k = 0.11 - 0.11. Let z = -67 - -133\/2. Which is the nearest to k? (a) z (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0c7 (base 16) in base 13?\nAnswer: 64179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 27*f**2 - 32*f - 116. Let y be u(-28). Let g(d) = -4*d**3 - 4*d**2 + 2*d - 7. Let s be g(y). What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 25, -0.318, 0.25?\nAnswer: -0.318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = -8*i + 100 - 390 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 179a808b + -3?\nAnswer: 179a8088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3247*r + 1642*r - 87 + 1671*r - 2*r**2 to the form s*r + q*r**2 + j and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5) + (7 - (-3 + 4 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*f*h**2 + 61920*f - 25*h**2 - 2*h wrt h?\nAnswer: 332*f - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11484502107 and 6.4.\nAnswer: 11484502113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9f (base 16) to base 12\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 46*b + 164 = -2*d, b + 4*d - 22 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.2, 17, 4\/5 in descending order.\nAnswer: 17, 4\/5, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 17*z + 22*z = -2*f - 2*f - 15, -4*z - 36 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 5*s**2 - 4. Let f be w(6). Suppose -3*z = z - f. Let y = -39 - -194. What is the highest common factor of y and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 22*n**2\/3 - 8*n\/3 - 2\/3.\nAnswer: -2*(n - 1)**2*(6*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + q + 34 = 0, -p - 14 - 20 = -10180*q + 10175*q for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-12) - 20\/6. Let l(r) = -3*r**3 - 5*r**2 - 10*r - 12. Let y be l(-3). Let f be (-312)\/y + c\/18 - -2. What is f rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22608958*t + 11*t**2 - 67826885*t + 22608964*t + 22608963*t.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-154)\/84 - (-1)\/(-6)) + 26. Let d(o) = -31*o + 7 - 16 + u*o. Let i(v) = -3*v - 4. What is 2*d(c) - 5*i(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 18. Let m be q(4). Let t(x) = 3*x**2 - 3. Let u be t(m). Suppose 3*r - u = -3*f, -4*r - 5*f = -3*r - 3. Sort 7, r, -3 in descending order.\nAnswer: 7, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3 + 1 + 8*d**2 - 3 + 6*d + 0. Suppose g = -4*n + 7 - 0, 0 = -g + 5*n - 38. Let a(j) = -17*j**2 - 13*j - 2. Give g*l(i) - 6*a(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 + (-28 - -19) - 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let c(g) = -4*g + 11*g + 0*g - 215*g**2 + g + 0 + 2. Let q(o) = 2796*o**2 - 108*o - 27. Let i(v) = -27*c(v) - 2*q(v). Calculate f(i(b)).\nAnswer: -45369*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 579 - 17 = 0. Let m = w - -207. What is the greatest common factor of m and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 950014.0589894\nAnswer: -950013.7589894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Suppose 0 = -4*m - 0*m + s + 36, 4*m = n*s + 28. Let r be (252\/m)\/((-5)\/(-25)). What is r rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, -19 in decreasing order.\nAnswer: 5, -19, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 + 92*t**2 - 29*t + 67. Give h(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*m + 40220 = -1780 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = -0. Let h = -275 - -1101\/4. Let s = -5 - -5.03. Which is the third biggest value? (a) h (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/219, 4, 379\/223 in ascending order.\nAnswer: -2\/219, 379\/223, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 15. Let z(v) = 3*v - 1306. What is o(z(r))?\nAnswer: 6*r - 2627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 bigger than 2279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21444115 a multiple of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6916 is divided by 381.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1166, 4\/31, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-20) - 1)\/((-1)\/(-170)). What is the greatest common divisor of i and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:28 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -411*m**4 - 889*m**4 + 1270753 - 1270797 wrt m.\nAnswer: -5200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 + k - 2. Let w be j(4). Let y(p) be the first derivative of -p**2\/2 + 4*p - 2852. Calculate y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4))**(-2\/3) assuming p is positive.\nAnswer: p**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxiwsw. Give prob of sequence wx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztz when three letters picked without replacement from zttthhzthhztt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((2 + -5*(sqrt(147) - (-2*sqrt(147) - sqrt(147))))**2 + ((2 + sqrt(147)*2 - sqrt(147)) + 0)**2) + 1.\nAnswer: -235817 + 2128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 20 = 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 - 3*d**2 - 4*d - 2. Let f be ((-3)\/1)\/1 + 1. Let g be r(f). Let j = 51 - g. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (25 - 3). Let u = 21 + m. Let w = 1 + u. Which is the second biggest value? (a) 2\/9 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -83, -144, -199, -242?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 + 2*v + 10. Let y = 1041 - 1035. Calculate t(y).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from ryyyyrrrryyy.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y - 35. Let q = y + -1. What is the remainder when 24 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 10) in base 6?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 6139.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 12. Suppose 0 = 4*u - 3*d + 47, -17 = 25*u - 21*u + 3*d. Let c be ((5 - 5)\/u)\/2. Put f, c, -9 in increasing order.\nAnswer: -9, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.76 + 4. Let m = b + -30.24. Let o = m - -30.00000085. What is o rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*g + 220*g - 71*g - 106*g.\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 370008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2473676 + 1611458. Let i = d - -292218. What is i rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:50 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {u: 5, r: 1, x: 5, e: 3, y: 5}?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 0*y**2 - y**2 + (2 + y - 2)*(0*y + y - 2*y) - 79*y**2 + 40*y**2 - 76*y**2.\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/11 (b) -2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -8448132\nAnswer: 2\/704011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3021319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37430 and 1988730.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 - o**3\/2 - 5*o**2\/2 - 2*o. What is the tens digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 697 = 841. Calculate the highest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.63 + 8.67. Let p = -9.3 + s. Which is the nearest to -1\/5? (a) p (b) 1 (c) -0.02 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-116)\/(-8))\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + (-16 - 23064\/434).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(3\/(117\/(-2))). Let v(b) = -2*b**3 - 53*b**2 + 142*b - 61. Let n be v(-29). What is the highest common factor of u and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r - 11*r**2 + 0*r**7 + 1\/6*r**4 + 0*r**3 + 0 + 1\/84*r**8 + 0*r**6 + 0*r**5. Find the second derivative of i(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2250 and 90?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78508906733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13015 - -24244?\nAnswer: 11227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c80 (base 13) to base 2.\nAnswer: -10001000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2941 = -152*s - 128*s + 107*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*(-75)\/60 + (-36)\/(-20)*-6. Let x be 2 + -2*32\/33. Sort x, o, -3 in ascending order.\nAnswer: -3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 6*y + 4*y)*(4*y**2 - 2*y**2 + 0*y**2)*(-2*y + 2*y + y).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28408 (b) 4\/3 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 262 - 146. What is the remainder when r is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31688642 a multiple of 1189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209733 is divided by 472.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 7, -5, -107 in descending order.\nAnswer: 7, 2, 0, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8729*c + 387. Let g(z) = -90*z + 4. What is -387*g(u) + 4*h(u)?\nAnswer: -86*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000202 + -1200?\nAnswer: 2222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7898451 millilitres in litres?\nAnswer: 0.0007898451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:09 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:32 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2, 1\/4, 295116, 5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4911705 divided by 5\nAnswer: 982341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7110343 rounded to two dps?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 4*w - 2*w)*(-2*w**2 + 2*w**2 + 2*w**2) - 3*w + 3*w - w**3 - 3*w**3 - 13*w + 13*w.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/43)*z*z*z\/(z*z*z**21)*z*z*z)**(1\/73) assuming z is positive.\nAnswer: z**(-690\/3139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 - x**5\/15 + x**4\/6 - 5*x**3\/6 + 4*x**2. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:10 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 0.5. Let x(c) = c**3 - c**2 - c - 1. Let j be x(-1). Let r = -6 - -3. What is the second biggest value in j, r, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let j = -24 + 31. Let y(z) = 6*z - j*z - z. Calculate y(q(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 7*q**2 - 7*q**2 + q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:46 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6de + -12b34?\nAnswer: -12456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 90 = -186. Let h(d) = 13*d**2 + 18 - i*d**2 - 8*d - 16*d. Give h(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -5 (c) 0.3 (d) -0.21 (e) 2\/13 (f) -0.2 (g) 7106\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x + 409. What is h(-22)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o**2\/7 + 11525756*o\/7 + 1440720\/7 = 0 for o.\nAnswer: -1\/8, 360180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/60 - 11*h**4\/24 + 25*h**3\/6 + 137*h**2. Let r be k(3). Let w(d) = 1. Let i(g) = -10*g - 50. Determine r*i(b) + 50*w(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = 5*g - 4, -3*f = -3*g + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 6 = 3*a, -5*a + n = -4*n + 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 5*x - x + 2*x - 3 + 3 + (-11 - 3*x + 11)*(0 + 0 - 1).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -706 + 715 + -1 + 0 + (3 - 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -519220\/7 + 74008. Let l = f - -30131\/182. Let w = 3\/13 + l. What is the second biggest value in -1\/5, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.247 + 18.147. What is the nearest to 2\/9 in 2\/31, y, -2\/45, -2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q - 9*q - 3*q**2 + (3*q + 0 + 0)*(2 - 2 - 4*q) - 17 + 17 + q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4007948434.999968 - -4007873362. Let q = 75066 + m. Let v = 7 + q. Round v to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9813\/17 - -577. What is the smallest value in n, 5, 3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112\/213 - 10\/71. Let q = -4\/33 + -17\/132. Which is the nearest to q? (a) -0.4 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25694?\nAnswer: 2, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 3*m + 2. Let j be h(-2). Suppose j*x = -x. Solve i + 5 = c, x*c = 4*c + 2*i - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/(-60))\/(30\/(-500)). Factor 45\/2*a - 5 + k*a**2.\nAnswer: 5*(a + 2)*(5*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154068.\nAnswer: 2, 3, 37, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 - 1672*d**2 + 339200*d + 4314624 = 0.\nAnswer: -12, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 197.\nAnswer: -13, -5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3319464771.\nAnswer: 3, 7, 653, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13038011813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 22*s - 21\/20*s**5 - 7\/2*s**2 + 0 + 0*s**4 + 0*s**3. Find the first derivative of a(t) wrt t.\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = l, 10*a + 5*l - 10 = 15*a. Solve a*g + 2*h = -8, -5*h = 2*g - 4*g + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -108.2, 2\/7, -0.09 in decreasing order.\nAnswer: 2\/7, 0.1, -0.09, -108.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 14*(-3)\/(-6). Let x(c) = 3*c - w*c + 3*c - c. Let g(s) = -9*s + 7. Let u(m) = 3*m - 2. Let k(t) = 2*g(t) + 7*u(t). Give k(x(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y**3 - 9*y**2 - 4*y - 8. Let s(h) = -23*h**3 - 24*h**2 - 11*h - 23. Calculate 8*p(m) - 3*s(m).\nAnswer: 5*m**3 + m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/19)*c**(-7)*(c**(-1\/3))**(-11) assuming c is positive.\nAnswer: c**(-184\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29b912 (base 12) to base 15\nAnswer: -ddb8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-4)\/17)\/(-2). Let m = 1.2 + -0.9. What is the nearest to 1 in k, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*f**2 - 64*f - 48 = 0. What is f?\nAnswer: -6\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 30650 - 16430. List the prime factors of v.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 15. Let h(b) = -34*b**2 - 577*b + 19. Let f be h(-17). Solve -n = -u*q - 5, -n = f*n - q + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 (base 9) in base 14?\nAnswer: 86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 6\/2*(-79)\/3?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ffssqvff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-21)\/(-12) + 0. Suppose 3*z - 25 = -10. Let h = 0.3 - 1.3. Which is the closest to v? (a) -3\/4 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 21. Let k be g(14). Let m = 19 - 15. Let t(c) = -11*c**3 + 5*c**2 - 4*c. Let y(w) = -6*w**3 + 3*w**2 - 2*w. Give k*y(s) + m*t(s).\nAnswer: -2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - n**3 + 7*n**2 + 1 + 0*n**3 + 2*n**3. What are the prime factors of z(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/581 and 32\/19837?\nAnswer: 138859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuuqgchhugrqg. Give prob of picking 1 c, 1 q, and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1943618868 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 19*c - 756. Let p = c - 32. Solve x + p + 0 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 56 = 21*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 26*a + 552. Let q be u(-21). Solve 82 = -q*p + 118 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 96?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215580*w + 215398*w + 3458 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23082, 23084, 23086, 23088?\n\"Answer: 2*f + 23080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*t**2 + 61*t**2 + 12*t**2 + 306*t**2 + 22*t**3 + 227*t**2.\nAnswer: 22*t**3 + 398*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051148 - 2102301 + 1051153 - 166*y + 131*y.\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - 490. Let h = m + 537. Which is the second smallest value? (a) h (b) -1.6 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107221 - 115*p**2 + 107219 - 214440.\nAnswer: -115*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168297 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 126 = 4*m, -m + q + 13 + 20 = 0. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -843 + 849. Let v be (-15)\/t*10\/5 - -9. Solve 4*n - 8 = v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r**3\/2 - 36201*r**2\/2 - 5570*r = 0. Calculate r.\nAnswer: -4\/13, 0, 2785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 6)*(8 - 8). Let w(k) = k**3 + 9. Determine w(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01849 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 682 - 730. Let j be (-40864)\/a - (-2)\/(-6). Calculate the highest common factor of 37 and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 + 405. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 158699 = -90801. Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*q - 53. Suppose 9 = 4*p + q, -3*s - 5*p - 14 = 0. Let l be (1 - (-9)\/(-3))\/s. Which is greater: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370000 and 15392?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466421, -466211, -465977, -465707, -465389, -465011, -464561, -464027?\nAnswer: -463397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 318520873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -1493, -3763, -6965, -11087, -16117, -22043, -28853?\nAnswer: -36535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*l + w + 19, -4*w - 15 = -l. Let o be (-2 - (2 - l - 19)) + -1. Calculate the greatest common divisor of o and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893242?\nAnswer: 2, 13, 72817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3446572 centuries in years?\nAnswer: 34.46572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -151*p - 691. What is the remainder when d(-9) is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896686411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 2. What is the smallest common multiple of 10 and y(10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 43*v**3 - 12257*v**2 + 207228*v - 9612 = 0.\nAnswer: 2\/43, 18, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*r + 15, 4*r + 2*o = -o - 7. Let m = -29\/3332 + -6345\/36652. Put 4\/7, -0.1, r, m in ascending order.\nAnswer: m, -0.1, 4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -6\/7, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afm when three letters picked without replacement from {m: 1, f: 8, a: 2, q: 2, i: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3271.7 to the nearest 10.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**2 - b - 7. Let r be o(-3). Suppose 3*x + 20 = r. Let w = x + -29. Solve w*p + 5*v = -10, 45 = 5*p - 2*v - 3*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:38 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93.16 + -4.34. Let z = q + 98. What is the third smallest value in z, -2\/3, -2, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - x + 30. Let c be a(-6). Suppose c = -3*h + 70 + 26. Let d = h + 45. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 11, -8, 0, -5, -4.\nAnswer: -298, -8, -5, -4, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 2 t when four letters picked without replacement from thhthhhhlttthhtottot?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-23)\/(-161) - (-776)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 42. Let h be ((-14)\/3)\/(((-17)\/6)\/(-17)). Let d be j(h). Let s = 0.1 - -0.1. What is the smallest value in d, s, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3660, -13008, -28588, -50400?\n\"Answer: -3116*g**2 - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 + 56523*s + 56526 = 0. What is s?\nAnswer: -1, 18842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 10\/3. Do c and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 665 and 45?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 3*x - 3 + 9, -2*x - 4 = -2*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 - -91\nAnswer: 90.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/53994 or -1?\nAnswer: 1\/53994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2332 (base 7) to base 12\nAnswer: -5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((350\/12)\/(-7)). Let w = l - -77\/100. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*63\/14. Suppose -4*j + 5*q + 354 = 0, 5*q - 267 = -p*j + 8*q. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:10 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132 - -26) + (94 - -45).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 517 to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3))\/a**4)\/(((a*(a\/((a\/a**(1\/2)*a)\/a))\/a*a)\/a)\/(a*a**2*a*a*a))*(a**(-1\/3))**36*a**5*a*a*(a*a*a**(2\/5)*a)\/a assuming a is positive.\nAnswer: a**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 12*z**2 + 21*z + 36. Let j be q(11). Suppose 2*v - 4*k + 8*k = 96, 5*k = -3*v + j. Calculate the remainder when v is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 2}. Give prob of sequence wwk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + ((sqrt(363) - (-2 + 3*sqrt(363))) + sqrt(363) - sqrt(363)) - (sqrt(363)*2 + 1).\nAnswer: -33*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*k + 5*s, k + 3*s = 2*s + 6. Suppose 3*v = -2*y - 2464, 0*v - k*v + y = 2467. Let p = -16393\/20 - v. Find the common denominator of -39\/14 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26 + -30 + -9*(1 - 2). Let d(u) = u + 4. Let f be d(-5). Let i = f + 11. Solve -a + i = -o*z, 1 + 17 = -z - 3*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389.283 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 39?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-20))\/((-40)\/100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 642049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-20) + 88\/5. Suppose 0*j + 3*j = v. Let g(u) = -u**3 + 6*u**2 + 4*u - 6. Let z be g(j). What is the highest common divisor of z and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1091, -2767, -5591, -9563?\nAnswer: -14683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11313 and 108102?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*w - 2 = 0, i + 4*w - 152 = -170 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23430973 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.7702 rounded to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2869*b - 312271. Calculate n(105).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 13 = -3*b, -19 = -3*g - g + 3*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 8*b**2 + 2*b + 3. Let d be p(8). What is the greatest common divisor of d and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6861099 and 306516.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + (1 - (-1739)\/(-222))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*o**5 + 54420*o**4 + 43584*o**3 + 8720*o**2.\nAnswer: -4*o**2*(o - 545)*(5*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2 + 11*j + 4 - 8 + 2 + 2. Give v(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 - 831483*x**2 - x**4 + 42*x**3 + 831484*x**2 + 2 as y*x**2 + n + z*x**4 + d*x + s*x**3 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4137026 rounded to the nearest 10000?\nAnswer: 4140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/10 - 32\/(-80). Does 13 divide 4\/(4\/61) - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(63 - 70) - (-1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, a: 5}. Give prob of sequence ax.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -368\/7, 3, -2\/7, -24\/5, 0, 43, 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 + 2*n + 1. Let l = -10 + 28. Let c = -14 + l. Let t be (9\/2 - c)*-2. Give o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1924 by -7.\nAnswer: 1924\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635036.7 decades to centuries.\nAnswer: 63503.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:32 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 82\/280 - (-6)\/(-15). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c**2 + 8513*c - 3983. Determine h(-568).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -5 (c) 2\/11 (d) -178 (e) -0.4 (f) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.963 + 1597.852?\nAnswer: 1594.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 4:17 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 2 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let w(o) = o. Let r(c) = 4*b(c) + 14*w(c). Let h(a) = 23*a. What is h(r(y))?\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 1) + (-72 - 33088\/(-572)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/((n\/(n*n\/(n*n**12\/n*n)*n))\/n)))*n)*n\/n**(1\/7))\/(n**(1\/6)*n*n\/(n\/(n**(-7\/5)*n))) assuming n is positive.\nAnswer: n**(1909\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/3 - 7141*c**3 + 85708*c**2\/3 = 0. What is c?\nAnswer: -21427, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -3\/5 (b) 2\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/110 and 69\/70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, 1\/174, 1\/5 in descending order.\nAnswer: 1\/4, 1\/5, 1\/174, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 0.13 (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15857 = -3*v - 5*u, -2*u - 1 - 9 = 0. Suppose 0 = 4*w - 2*w - v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*q = -9 - 39, -v + 5*q + 16 = 0. Suppose -4*x - v = 160. What is the common denominator of -21\/11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:20 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + 12. Suppose -4*v + 8 = 2*b - c, -2*b + 4*v + 30 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/33, 0.044, -1\/405?\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1409.95 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s*s**(-9\/5))\/s)*s*s\/s**(-19)*s*s*s*(s*s\/(s\/(s**15\/s)*s))\/(s*(s\/s**(1\/12))\/s*s*s) assuming s is positive.\nAnswer: s**(2213\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 - b. Let h(n) = -8*n**3 + 7*n**2 - 2*n - 6. Let y(m) = h(m) - 4*p(m). List the prime factors of y(-3).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 612 and 3240.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58 less than 3?\nAnswer: 4.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 925942141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k - 18858 = -60*k. Let r = k + -523. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*n - 24, -5*q + 35 = 3*n + 5. Let u be (36\/3)\/(q\/4). Let a be 14\/(-30) - u\/(-12). Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 10*c**2 - 3*c - 10. Let i = 3 - -2. Suppose i*l = -19 - 31. What are the prime factors of o(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 19. Let t(h) = -4*h**2 + 2*h - 1. Let l(n) = 9*n**2 - 4*n + 2. Let z(a) = r*t(a) + 3*l(a). Factor z(s).\nAnswer: -(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 less than 149549682424?\nAnswer: 149549682424.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 41*r**2 + 284*r + 53. Determine t(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 9*j + 7. Let p = -8 + 36. Suppose 3*g = p + 11. Is d(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -4*t**5\/25 + 408*t**4\/5 - 169696*t**3\/15 + 329664*t**2\/5 - 652864*t\/5 + 2016. Suppose b(r) = 0. What is r?\nAnswer: 2, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-175)\/441 + (1 - 10\/14). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -33. Let z = -5 + m. Let w be z\/(-10) - (-28)\/5. Solve 1 = -h + w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/52 - 6\/13. Let r = 15\/28 + k. Sort -5, 0.09, r in decreasing order.\nAnswer: r, 0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 0*d**3 + 0*d**2 - 2\/7*d**4 + 0 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24989915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 - 4*x**4 - 78*x**3 + 16*x**2 + 280*x = 0.\nAnswer: -5, -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 12*p - 2*p - 30, 6*m - 111 + 172 = -3*p + 94 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 8) to base 9\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -276 (c) 1 (d) -0.07 (e) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -173 in 2\/17, -1\/20, 0.05?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73272 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 167*y + 1123. Determine f(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 868 - 854. Let u be a\/(-12) + (-115)\/(-69) + -2. Sort 0, u, 16, 2\/7 in decreasing order.\nAnswer: 16, 2\/7, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.009 - 0.771. Let v = s + -0.238. What is the second biggest value in v, 0.5, -4\/7, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 3. Suppose 2*w + 3*k = 0, 2*k + 8 = -2*w - 3*k. What is c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 4*d + 42. Let w be o(9). Sort 3, -3\/4, w, -4.\nAnswer: -4, w, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/8 + 117*x**3\/4 + 13905*x**2\/8 + 2929*x - 25230.\nAnswer: (x - 3)*(x + 5)*(x + 116)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2 - w - 23. What is a(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 68*d - 286. What is h(-63)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d**3 + 137*d**2 + 17*d + 56. Let k(l) = 3*l**3 + 24*l**2 + 1. Let u(h) = -6*k(h) + r(h). Determine u(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27\/72 + (-14068)\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 461 or -0.2?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 7450904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 11097.6.\nAnswer: -11097.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*g + 864 = 158*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -25. Let l = -72 + 72.1. Which is the fourth smallest value? (a) 2\/33 (b) l (c) z (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 12*c**2 + c - 1. Let n(r) = -r**3 - 3*r**2 - 2*r - 4. Let f be n(-3). Suppose -3*j + 1 = -f. What is the remainder when 34 is divided by u(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2528040, 2528038, 2528036, 2528034, 2528032, 2528030?\nAnswer: 2528028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.993439 micrograms in tonnes?\nAnswer: 0.000000000007993439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from xbxbxxbxbxxxb?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/20*32\/(-6))\/(-2). Suppose -1 = 3*t - a. Let h be (1 + t)*(-8)\/((-32)\/6). Solve q - r = 1, h*q - 4*r + 3 = -7*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:08 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 2*v**3 - 2*v**3 + (-43 + 72 - 30 - v**2 - 7*v)*(-5*v**3 + 0*v**3 + v**3).\nAnswer: 5*v**5 + 28*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*k + 15, m - 10 - 7 = -4*k. Let b = k + -1. What is the third derivative of 4*v**3 + 3*v**2 + 4*v**3 - 4*v**b wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2 + 12*v + 88 wrt v.\nAnswer: 2*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 + 8 = 2*t, 0 = -4*t + y + 23. Let p be t\/15 - 18\/20. Let o = -4 - -3. What is the third biggest value in p, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 23\/38, -1\/6, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273\/2 + -136. Which is the closest to -0.7? (a) o (b) -0.02 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*d = -101*d - 18. Find the second derivative of -9180*p**3 - 154*p + 9088*p**3 + 0*p**2 + 0*p**d wrt p.\nAnswer: -552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 2 y when four letters picked without replacement from mylxy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 183?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 31295 = 34*n - 29*n, -4*c + 31305 = 5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.1 (b) -1\/16 (c) -0.077 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-906)\/(-4983) + (86\/11 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544 and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3856128, -3856123, -3856118, -3856113, -3856108?\n\"Answer: 5*x - 3856133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - s + 83 = 0, d + 6*s - 69 + 35 = 0 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h + 2. Let d(m) = 2*m**2 - 3*m + 5. What is 5*c(r) - 2*d(r)?\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 7:44 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -0.4, 98, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 27*t**2 + 2*t - 48. Determine i(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8417 + -4515. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(1\/4)\/s)\/s*s)*s**(1\/12))\/(s**(-4\/7))**(-7\/6) assuming s is positive.\nAnswer: s**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3286964*v**5 + 647660*v**2 - 1.\nAnswer: 197217840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1587 - -1656. Calculate the remainder when 1516 is divided by j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 30 - 32 + 6*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49978039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001100101 + 111100111111100?\nAnswer: 110001110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39.1? (a) -11\/4 (b) 1.086 (c) -0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 9*s**2 + 10*s - 8. Calculate u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 676984.7 weeks?\nAnswer: 4738892.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015222577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442 - 442 - 38*h**4 + 37*h wrt h?\nAnswer: -456*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146419 is divided by 441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 1\/3*y**3 + 6*y - 3*y**2 + 24. Let r be k(5). Solve -o + c = -8, -r = -4*o - 3*c - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 16 = -24*z. Let m be 5\/z*228\/190. Put -4, 15, m, -2 in descending order.\nAnswer: 15, m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*n + 65104 = 83794 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w**(1\/5)*w)\/(w**(2\/3)\/((w\/(((w\/w**(-6))\/w)\/w))\/w*w)) assuming w is positive.\nAnswer: w**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 8*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3928\/5 - 786. Is n at most -1\/631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/20)\/(1\/(-5)). Suppose -20 = -4*b - 2*m, b - k*b = 5*m + 13. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -511, -506, -499, -490, -479?\n\"Answer: j**2 + 2*j - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*q - 3 + 116*q + 74*q.\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3392024.2 - -0.1\nAnswer: 3392024.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4352 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 56. Suppose -2*h + 3 - z = 0. Is h at least as big as -7\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + (-168)\/(-32). Suppose -d*s = 4*v - s, s = -3*v. What is m in 1\/2*m**2 + m + v = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 + 4*a + 4. Let f(t) = -t**2 + 1. Let l(u) = 14*u**2 + 5*u + 1. Let x(r) = 4*f(r) + l(r). Give -5*g(y) + 4*x(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**2 + 0 - 2\/5*k**3 + 2\/5*k.\nAnswer: -2*k*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 6. Suppose -138 + 12 = -s*w. Suppose 2*j - 4 = 14. What is the highest common factor of w and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7 - 37. Let u be q\/(-4)*8\/5. Suppose 0 = n - u - 7. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -174, -288, -420, -576?\n\"Answer: -c**3 - 95*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 25. Let x = 10255 + -10254. Let m = -2\/45 - -17\/45. Which is the biggest value? (a) x (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -37 (b) 8\/3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -59, -120, -185, -242?\n\"Answer: 2*d**3 - 20*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + y + 2. Suppose -5*o - 4*m + 20 - 2 = 0, -o + 3*m = 4. Let n be p(o). Let l = 1 - 3. Which is the closest to 0? (a) n (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7115)\/(-4269))\/(740\/(-72)).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5*p - 16. Let w be o(3). Suppose -5 = -q - 2. Solve q*y + y + w = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/(54\/36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 5. Let b be 1 + 3 + 5 + -22. Let d be a(b). Suppose d*q = 11*q - 195. What are the prime factors of q?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 52*y**2 + 89*y - 690. Calculate l(-50).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 172397 divided by 11\nAnswer: 172397\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 3, o: 1, l: 5}. What is prob of sequence no?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071892 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4\/3 (b) 0.02 (c) 0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 1, c: 3}. What is prob of sequence cr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nbnbnnnbnbbbb.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 + 3252*i**3 - 6498*i**2 + 3248*i = 0. Calculate i.\nAnswer: 0, 1, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356.14 - 362. Let d = 0.14 - n. Let z = -5 + d. What is the closest to 2 in 2, -3\/5, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1658321, -3316854, -4975599, -6634556, -8293725, -9953106, -11612699?\n\"Answer: -106*j**2 - 1658215*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20228579 to the power of 1\/2, to the nearest integer?\nAnswer: 4498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 - 3*h**2 - 20*h + 42. Give n(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-9)*v*v**(-4))\/(v**(-1\/8)\/((v\/(v*v\/(v\/v**(2\/3))))\/v)) assuming v is positive.\nAnswer: v**(131\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9980 divided by 1996\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -107, -109, -109, -107, -103?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. What is the biggest value in -1\/4, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 6*s - 10*s + 20, -2*d = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/20, -59, 0, 2\/3, 1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -20 - 60*f - 165\/4*f**4 + 50*f**2 + 35\/4*f**5 + 40*f**3 = 0. Calculate f.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7985 + 7994. What is the closest to 2 in 1, l, 2\/19, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1210 + 2884 - 1028)*(a - a**2 - 2*a + 0*a).\nAnswer: -3066*a**2 - 3066*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644001844.\nAnswer: 2, 161000461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -217*c**2. Let m(g) = -9*g**2. Let o be (3 - 4)*3 + -1 + 53. Give o*m(w) - 2*b(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Let g be a + 42299 + (-1 - 0\/4). What is g rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3530 and -43\/11.\nAnswer: 38830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -519.425 + 519. Let h = n + 4.425. Is h less than or equal to -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3331715, -6663433, -9995161, -13326905, -16658671?\nAnswer: -19990465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*k - 23783 = -67*k - 334*k - 63693 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/30*(-4)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-6))\/(3\/6*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -91. Let c be 8\/(-20) + b\/10. What is the third derivative of 10*r**6 + 4 - 18*r**2 - c + 11*r**2 wrt r?\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1402.6 from 3.08258.\nAnswer: -1399.51742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*k = 1417, -3*k - 30 = -2*q + 541. Is 281 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/2 + 2*f - 71. Let t(i) be the first derivative of h(i). Let p(r) = -r**2. Give t(p(k)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 16. Let b be i(-5). Let r = b - -32. Let d(n) = -7*n - 7. What is the remainder when d(-4) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2 + 372*q - 756 = 0.\nAnswer: -126, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - 3. Let v = -14 + 12. Let w be m(v). Let z = -14 + w. Calculate the lowest common multiple of z and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5549 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406772479 - 70000.\nAnswer: 406702479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.86 - 0.86. Let q = -23.2 - -23. What is the nearest to x in -2, q, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 67. Suppose 250 = -4*s - 6*s. Let l be q(s). Let b(x) = x**2 - 7*x - 3. Calculate b(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnyanfaz. What is prob of sequence nfan?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - 1 - (16 + -23 + -18 + 37).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 13. Let n be (-4)\/4*5*v. Suppose -4*q = -q + 3*c + 9, -2*q = n*c + 21. Sort 0.3, q, 2\/7 in ascending order.\nAnswer: 2\/7, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 292?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + g - 13 + 14 + g.\nAnswer: 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**7\/315 - x**4 + 126*x - 2. Let t(j) be the third derivative of s(j). Let y(p) = 3*p - 5*p + 0*p + 0*p. Determine t(y(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-12)\/108). Suppose 6*m = s*m + 90. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/((-4)\/((-24)\/(-9))). Let b = 99 - z. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldlllbddplll. What is prob of sequence ddlb?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68073301?\nAnswer: 68073301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -28. Let y(k) = -11*k + 124. Calculate the remainder when y(9) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 - 1 = -2*a, 2*v + 9 = -a. Let c = 57 + -32. Calculate the smallest common multiple of 3 + a - (1 - c) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -5*p + 297. Suppose -3*u + p = 5*f - 21, 0 = -5*u + 3*f + 45. Find the common denominator of (-16)\/(-4) + 86\/u and -23\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-60)*4\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -11, -109, -269, -491, -775, -1121?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/78320 and 1\/242.\nAnswer: 861520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 247*i - 16*i + 5*i**2)*(3*i + 0 + 0).\nAnswer: 3*i**3 + 693*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + t**2 - 9*t - 1. Give w(3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 299 = 3*j - 22*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/(f\/(f\/((f**(-3)\/f*f)\/f)*f)))**(-33)\/((f*f**1)\/(f\/(f*f**(-3\/5)\/f))*(f**(-2\/7))**(-49)) assuming f is positive.\nAnswer: f**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*124\/(-8))\/(122\/(-9272)*38)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 214014 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 + 1 - (7 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -120130?\nAnswer: 120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*v + 4*k - 45, -4*k = 4*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 18986082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-22)\/(-10))\/((-321)\/2140)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48212, -48226, -48244, -48266, -48292, -48322, -48356?\n\"Answer: -2*a**2 - 8*a - 48202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*x - 2584 = -279*x. Calculate the remainder when (2\/4)\/((-5)\/(-1030)) is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(2 - 2 - 2*v) - 375 + 375 + 21*v.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05503 plus 0.06?\nAnswer: 0.00497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 + 769392*o - 11541555 = 0. Calculate o.\nAnswer: -256479, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*(sqrt(125) + 0 + 5) - (4*(2 + sqrt(125)) - ((-1*sqrt(125) - sqrt(125)) + sqrt(125) + -1)))*-2)**2.\nAnswer: 10440*sqrt(5) + 43864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79603.2 millennia to centuries.\nAnswer: 796032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/15 - (3 - (-42)\/(-6)). Factor -4\/5*r**3 - 2\/5*r**4 + o*r**2 + 4\/5*r + 2\/5.\nAnswer: -2*(r - 1)*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199*-0.12.\nAnswer: -23.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 - 380?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((352\/(-120))\/(-11))\/((10\/25)\/(2\/(-228))).\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.297511 + -0.907456. Let k = -154.61 + 154. Let p = k - t. Round p to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 6*w - 4. Let t be 16\/20 + 29\/(-5). Let d be n(t). Let z be (1 - -1)*(-2)\/(-30). Is d at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from jjjbjbjjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -276 + 281. Suppose 1 = x - 5. Solve 0 = z*y - 4 - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-4))\/t)\/t**(5\/2))**13 assuming t is positive.\nAnswer: t**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3 + 8 - 18 - 4*f + 4. What is the remainder when v(-5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 10) + (-1 - (4 - 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 0*u**2 - 6*u + u**3 + 3*u**2. Let i = 228 + -224. Suppose 0 = -i*f + 452 - 472. Calculate k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9803\/3065 - 1\/613. Let d = -218\/65 - l. Which is the smallest value? (a) 2 (b) 9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(4\/(-8)*-1). Let r(q) = -q + 8. Let h be r(w). Suppose 4*c - 4*i - 404 = 0, 0 = h*c - c + i - 93. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.737 and 68.\nAnswer: 81.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2 - 31 - 93 - 3928*b + 3896*b wrt b.\nAnswer: 2*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**5 + 212*m**4 + 568*m**3 - 816*m**2 - 2080*m - 896 = 0?\nAnswer: -14, -4, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 171*h**2 - 3103*h - 3109. Give a(-1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + ((-731)\/2193)\/((-41)\/42 + 1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11bb9 (base 16) to base 11.\nAnswer: -4a630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 350*g**3 - 9*g**2 + 53*g - 56. Let z(l) = 88*l**3 - 2*l**2 + 13*l - 14. Let o(x) = 2*h(x) - 9*z(x). Find the second derivative of o(u) wrt u.\nAnswer: -552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586 - 199 + 123*f - 194 - 122*f - 193.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -995\/2 + 498. Let a = -11.5 - -11. What is the second biggest value in -1, -5, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328988021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 275996607 divided by 91998869?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4106 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -5)\/((-2)\/((-330)\/3)). Let a(c) = -35*c + 4. Let n(k) = -2871*k + 330. Let s(g) = b*a(g) + 2*n(g). Let d(t) = 3*t**2. What is d(s(j))?\nAnswer: 3267*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-300)\/(-8)*(-10)\/(-15). Suppose -5*z + c = 0, 2*z + 257106 - 53916 = 4*i. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559 (base 10) to base 6\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, i: 1, r: 3, w: 5}. What is prob of sequence rr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjjt when four letters picked without replacement from lltukju.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 5. Let y(m) = 4 + 4*m**3 + 7*m - 6*m**2 - 3*m**3 - r. Determine y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/1595*-1)\/(6*1\/(-10)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 17*a**2 + 21*a - 38. Let k = 56 + -10. What is the remainder when k is divided by j(18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + 4 + -1*(sqrt(8)\/(4*sqrt(16))*-3)**2.\nAnswer: 183\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 9:26 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/424367 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/4 + 12*d**3 - 54*d**2 + 96*d - 60.\nAnswer: -3*(d - 10)*(d - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*s + 35*s**3 - 16*s**4 - 97*s - 23*s**3 + 2*s**2 in the form o*s**2 + f + i*s**4 + t*s**3 + x*s and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 186. Let h = u - -162. Solve -2*s + 4*p + 10 = -16, 14 = h*s - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*j = -234*j - 3378 + 9846 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = 3*k - z, -4*k - 348 = -2*k - 3*z. What is the remainder when ((-3)\/(-4))\/((-5)\/k) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**3 + 22*r**3 - 55*r**3 + 414 + 18*r**3 as t*r**2 + l*r + p + w*r**3 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(2*j**2 - 5*j**2 + 5*j**2) + (4*j + 2*j - 3*j)*(3*j - 2*j - 2*j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -35*a - 230. Let w be n(-50). What is the highest common divisor of 80 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (184\/12)\/((-2)\/9). Let q = 370 + z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -3 - 12) + (-270 - -294).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 3*y**2 + 5*y - 10. Let w be (15\/6)\/((-3)\/(-6)). Let j be x(w). Let l = 449 + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, 58, 363, 850, 1519, 2370?\n\"Answer: 91*u**2 - 150*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (1 + -20 - (8 + 9)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.2. Let h = z - 0.5. Let i = -0.5 - h. Put -0.1, -3, i in ascending order.\nAnswer: -3, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 590 and 16524.2.\nAnswer: 17114.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -102*k - 958. Determine z(-8).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let d be 2\/p - 160\/25. What is the tens digit of (-5)\/(-30) + (-59)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**2\/2 - a. Let q = -509 + 505. Let f(l) = l**2 - 3*l + 4. Calculate q*j(t) - f(t).\nAnswer: -t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z. Let a(j) = j + 2. Let u(y) be the first derivative of y**2 + 8*y - 107. Let b(c) = 12*a(c) - 3*u(c). Give b(p(d)).\nAnswer: 96*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 278, -1347, -2972, -4597?\nAnswer: -6222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*o - 2*o - 145, -3*b - o = 70. Let g = 90 - b. Suppose -5*i + 4*q - q + 107 = 0, -5*i + g = -5*q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 854 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138 - (161 - 295)) + 2 + -1 + -2 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9.09. Suppose -18*k - 5 = 3*v - 20*k, 4*v = -k - 25. What is the nearest to -0.1 in v, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18814101 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -103. Suppose -q*d - 16 = 5*d. Let x(y) = -2*y. Calculate x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:56 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 2. Let l(f) = -12*f + 87. Let y(n) = -l(n) - v(n). Let a be y(12). Which is greater: a or 29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27713477 to the power of 1\/2, to the nearest integer?\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, 181, 0, 1\/7, -0.064, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -27*d - 7. Let a(l) = 32*l + 13. Let h(i) = 3*a(i) + 5*q(i). Give h(2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h. Let q be o(2). Let i(u) = u**2 - 2*u + 2. Let t be i(q). Let g = t + 8. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 76*f**5\/5 - 401*f**4\/6 + 2*f + 665. What is the third derivative of j(x) wrt x?\nAnswer: 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 4*s - 1. Let g be l(-3). Suppose -g*c - 13 - 16 = -j, 2*j - 2*c = 48. Is j\/2 + (-9)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (54\/(-45))\/((-2)\/5). Let q(i) = i + 2. Determine q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v. Let t be -1 - (1 - 2) - v. Let m(c) = 4*c**3 - 4*c**3 + 6 + c**3 + c**2 + c. Give m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/9))**33*t**(7\/6)\/t**(3\/2) assuming t is positive.\nAnswer: t**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-15))\/(32\/406137). Let h = d - -8466. What is the common denominator of -33\/20 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235163 divided by -6.\nAnswer: -235163\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1494467, 1494460, 1494443, 1494410, 1494355, 1494272, 1494155, 1493998?\nAnswer: 1493795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.7701 tonnes to grams.\nAnswer: 119770100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*z**4 - 2*z - 2152 with respect to z.\nAnswer: -88*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 43*h - 372. Let w be z(-12). Solve w = 8*m - 36 + 36 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 - 3*n + 3. Let w = 12 + -9. What is the smallest common multiple of o(w) and (2 - -3) + -2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 * -1.8\nAnswer: 196.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, t: 4, m: 1, h: 3, d: 2, z: 2}. Give prob of picking 1 t and 1 z.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 834 = h. Let c = h - -61. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - y - 1. Let w(i) be the first derivative of 3 + 3*i**2 - 6*i - 1\/3*i**3. Let k be w(5). Give f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67378 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*-3*sqrt(3) - (sqrt(192)\/sqrt(4))**2).\nAnswer: -144 - 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -11\/3*y**3 + 0 + 2*y + 1\/2*y**2. Is f(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*t = 2, 2*t - 26 = -3*b - 2*t. Solve u - 4*u - 3*c - b = 0, 5*u + c + 18 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382*x + 753*x + 3 - 391*x to m + w*x and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-38))*x*((x\/(x**18*x))\/x*x)\/x*x assuming x is positive.\nAnswer: x**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -2*b**6\/3 - 4*b**5 - 9*b**4 - 28*b**3\/3 - 4*b**2 - 67. What is m in x(m) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/((-198)\/(-168))*(1 - -1850). Let s = -12321 - x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 15*u**2 - 28*u + 48. Let f be q(13). Solve 2*n - 2*w - 16 = 0, w - f = n - 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k - 334. Suppose -193 = -4*z + y - 0*y, -3*z + 141 = 3*y. Let c be b(z). Solve h = -3*p + 15, c*p + 4*h - 8 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + a = -3, 3*y + 478 = -2*a - 530 + 1002 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) 668 (c) -2 (d) 1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 19.\nAnswer: -3, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 935*f**2. Let u(i) be the second derivative of -7*i**4\/12 + 9897*i. Calculate u(v(l)).\nAnswer: -6119575*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = m + m + t, -5*t - 24 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/11 - 564522*t**2\/11 - 39855669030*t\/11 - 2826907461550\/11 = 0?\nAnswer: -141095, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 + 10 = 0. Solve -3*d - 22 = -y*d + 5*u, 4*d - u = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/7248 and -43\/31710?\nAnswer: 253680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -995303 (base 10) to base 9\nAnswer: -1776262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let x(p) = -2*p**2 + 0*p**2 - 6*p**2. Calculate m(x(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - 0.25. What is the closest to 2\/5 in -0.1, -1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218 + 309. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 379 and 6.\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 + 2*w - 1. Give x(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -27 (b) 1\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:26 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623955729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79\/17 in 2, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + c**2 - 2*c)*(-3 + 0 + 2) - 2*c**2 + 0 + 0 - 1 + 1 + 1290*c**2 - 874*c**2 to the form g*c**2 + a + x*c and give g.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-56))\/((-5)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j + 378 = -3*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -221 and -0.18?\nAnswer: 220.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n + 6. Let j be 5 + (303\/(-404) - 5\/4). Let z(g) = 6. What is j*z(a) - 2*h(a)?\nAnswer: -2*a**2 + 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 55005.76 to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 20*a - 53. Let n be t(3). Solve -5*k + n + 10 = -2*p, -2*k = 5*p - 30 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 278. Let a be (3 + 95\/15)*3. Suppose 3*h = 4*v - a + 96, -2*h + 60 = v. Calculate the highest common divisor of h and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1694 and -153\/16940.\nAnswer: 16940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + x**2 + 2)*(10 - 10 + x)*(-9*x + 5*x - 8*x) as i*x**3 + f + k*x + z*x**4 + p*x**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(0 - 6 + 0)*(3 - 3 + 1)*(-5*a**3 + 4*a**3 + 2*a**3) to the form i*a**3 + y + o*a + h*a**2 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 7:53 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*n + 299 = 318, -17 = -4*o - 3*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -2*m. Let w(y) = -y**3 - 14*y**2 - 38*y + 40. Let l be w(-10). Let s(r) = 108*r**2 - 107*r**2 + 4 - 15*r + l*r. Determine s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*u + 357 = -1130*u + 133644 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141728427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u + 66. Let g be n(-10). Suppose z = g*z - 20. Put z, -1, -3 in ascending order.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60176377 + -4?\nAnswer: 60176373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 9) to base 5.\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4946.939 millimeters to nanometers.\nAnswer: 4946939000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:44 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9257319*a**2*c + 3*a + 10185*c - 9 wrt a?\nAnswer: -18514638*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 0. Let c be (142\/h + 2)\/(33\/(-176)). Let l be (1 - 4)*4\/(-6). Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1. Let g(f) = 2*f**2 + 7*f + 17. Let t(p) = 5*d(p) + g(p). Give t(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let p be 1\/((-10)\/15)*(-9)\/(-18). Which is the closest to i? (a) -5 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -4, 32, 92, 176?\n\"Answer: 12*b**2 - 24*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 5. Let q be g(-3). What are the prime factors of (12\/(-18))\/(q\/78)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 217434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + a**3 - a**3)*(2 - 2 - a**2) + (a - a + a)*(a**4 + 3*a**3 - 3*a**3).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from nnnbnbknbnnknkkn.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823424 = 120*w + 822704 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1064 and 14744.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -1255.58\nAnswer: 753.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -4. What are the prime factors of w?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -35. Suppose 0 = 3*a + 4*z - 126, k*z + 84 + 62 = 4*a. Suppose -3*n + 72 = -2*b, -3*b - b = n - a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2*s - 13, -7*n + 42 - 54 = -s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -96.2*-601\nAnswer: 57816.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41.0627414 and 656791.\nAnswer: 656832.0627414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -30. Solve 0 = s + s + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = y. Is (y\/(-2) - 1) + 67 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*t - 4405643 - 2070893 = 1769184. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99353436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329205*w**2 - 329193*w**2 + 658401*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -94. Let r = b + 74. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199780 (base 12) to base 11.\nAnswer: -289751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150097 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -5 - (-666)\/(-1443)*(-76)\/6. Let g = -4.278 + -0.022. Put t, -3, g in decreasing order.\nAnswer: t, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let w(o) = o**3 - 5*o**2 + 4*o + 4. Let c be w(v). Solve -m + 2*y = 2, 2*m + c*y - y = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 11. Let o be m(6). Let k be 4\/2 + 8 + o. Suppose 3*s + 60 = k*q, -2*q + 5*q + s = 22. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*u**2*x**3 - 2*u**2*x + 25*u**2 + u*x**5 wrt x.\nAnswer: 90*u**2*x + 20*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.98 - 0.02. Let n = 145 + -139. Let b = h + n. What is the third smallest value in 1, -0.1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884751 is divided by 8584.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/127 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1)\/((-293)\/(-1172))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.57142229 and 2.\nAnswer: 2.57142229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 5*j + 30, -289*a = -291*a - 2*j + 20 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -317.6 smaller than -4897\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1550 + -1554. Let t = -3.41 - -3.3. Which is the smallest value? (a) -2\/5 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 34*x - 165. Let h be r(-6). Does h = 21\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 2173?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 4*n**2 + 9*n + 2. Let r(o) = -6*o**3 + 11*o**2 - 26*o - 7. Let c(f) = -8*i(f) - 3*r(f). What is c(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4959027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243*n**2*x**3 + 5555*n**2*x - 2*n**2 - 2752880*n + 2 with respect to x.\nAnswer: 729*n**2*x**2 + 5555*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 12*l + 120 = 0. Let v = l + -1. What is the remainder when 113 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1084\/6083 - 2\/553. Let y be 14\/756*18*-1. Sort 0.4, 0, y, t in descending order.\nAnswer: 0.4, 0, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -g - 30, 4*g = -2*r - 0*g + 90. Let p = r - -39. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/85 in 0.6219, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28188 and 323.\nAnswer: 28511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3392 - 3418. Put 3, n, -4, 0.3, -1 in descending order.\nAnswer: 3, 0.3, -1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355744*l - 1691 = 355833*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - 627129.\nAnswer: -627129.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 180. Let l(a) = -4*a**2 - 2*a + 5. Let n be l(0). Suppose 9*b - h = n*b. What is the highest common factor of 75 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*y + 152 - 43 + 351 = 0. Put -21, 4, y, 5 in ascending order.\nAnswer: -21, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -12493707?\nAnswer: -3\/4164569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z**2)*(-14*z**2 - 15*z**2 - 5*z**2)*(-10 - 11 + 5).\nAnswer: -544*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 2 (b) 0.3 (c) -3 (d) 1 (e) -353 (f) -0.409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -476bb (base 13) to base 3.\nAnswer: -20122102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -260079*z - 36411067. What is r(-140)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-100))\/(9\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31508\/3 or 10503?\nAnswer: 10503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 36)*(16492\/152 + -109)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1988*c**3*f*k**3 - 8*c**3*s - c*f*k**2 - 3*c*f*s + 26*c*k**3*s + 2*c*k*s - 2*f wrt k.\nAnswer: -11928*c**3*f + 156*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/44 and -5 + 0 - (-81)\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -170.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.2, 0.3, -0.23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h*z**4 + 90622*h*z**2 + 1286357*z**4 - 2*z + 24 wrt z?\nAnswer: 144*h*z + 30872568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-110)\/9 - (-13 + 1). Which is the third biggest value? (a) -3 (b) -5\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/52 + -1 - 282\/(-26). Which is smaller: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c - 4. Determine l(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45294 is divided by 647.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -20. Let c be ((-5)\/(-10))\/(o\/6). Are 2 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 138150 = -3*h, 5*h = -v + 23331 - 317. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(((-28)\/232)\/(-7)). Let x = 67 - f. What is the second derivative of 34*p + 33*p - 61*p + x*p**5 wrt p?\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -867?\nAnswer: -867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - d + 2*d - 7*d. Let s(q) = 10*q. Give v(s(n)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*h - 4, 3*r - 6*r = h - 3. Put 5, -46, r, -1 in descending order.\nAnswer: 5, r, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-1)\/((-59)\/(-12) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73857 or 73856?\nAnswer: 73856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.01 (b) 1\/552 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1316 divided by -14.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -58, -0.27, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*z**4 + 6*z**2 + 74*z**4 + 408*z**5 - 209*z**4 + 6 + 69*z**4 wrt z.\nAnswer: 24480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j + 928. Determine d(-51).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.260107ml?\nAnswer: 0.000260107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s + s)*(-1803*s**4 + 707*s**4 + 850*s**4).\nAnswer: -492*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 1 (c) 2.5 (d) -0.083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 6*z + 5*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/8, -177, -3\/8 in decreasing order.\nAnswer: -3\/8, -11\/8, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.97 - -0.03. Let g = 0 - j. Let l = g - -1.5. Which is the biggest value? (a) l (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -191*r + 24. Let c be (4\/6)\/(-2) - (-100)\/(-6). Is u(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 7) to base 9.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-2 - 4\/2). Suppose -j + 5 = a. Calculate the smallest common multiple of 4 and (-3 + a)*-8 - -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 - 3*h**3)*((0 + 1 - 2)*(4 - 2*h - 4) - 3*h - 4*h + 10*h - 3 - 11*h + 3).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*k - 17160 = 4*k - 618264. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26077 is divided by 322?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 6*d + 7. Let o be n(-7). Suppose -2*p + 80 = -o*p. Solve 4*l + 4*m - p = 0, 0 = -0*m - m + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-4) - (78155\/20)\/(-11).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 154616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-26)\/104 + (-5933)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166236 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*f + 27*f - 66*f)*(2*f - f + 0*f - 3*f + 2*f + 2*f - 1 + 2*f + 1 + (-4 + 2 + 3)*(f - 4*f + 4*f) + 3*f - 6*f + 2*f)*(-f**2 - f**2 - f**2).\nAnswer: 2040*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/1404*84\/(-98)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37996 is divided by 9498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16143001, 32285993, 48428985, 64571977?\nAnswer: 80714969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9692009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2)*(-28 - -25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -1. Let u be (10\/10)\/((-1)\/(-1)). Is u greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 + 400*a**3 + 132860*a**2 - 3900400*a + 27659520 = 0.\nAnswer: -144, 14, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 8) to base 3.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220403131 + 1121?\nAnswer: 220404302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*d**2 - 9995*d + 2000.\nAnswer: -5*(d + 400)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68160.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 7. Let c be w(-5). Suppose 8*u - 4*u - c = 0. Suppose -2*q - 5*t + 32 = 0, 3*t + 5 + u = 4*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:05 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 6. Let u be 0 + -5 - (-29 + 21). Let n(a) = 13*a + 11. What is u*n(k) - 5*p(k)?\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9243 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalmmaalaaylrayl. Give prob of sequence laym.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qce when three letters picked without replacement from eecqqcqqqqceeq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - -2 - 2*(-1)\/2. Let t be 8\/p + 1 + -7. Let u be (-2 - 16\/(-4))\/16. What is the third biggest value in t, -0.4, -0.3, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(32) + (sqrt(20)\/(sqrt(10)*-2) - sqrt(2)) + 4.\nAnswer: -19*sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 57. Let j be k(6). Let u be 18\/(-45) + 139986\/j. Suppose y - 5*y + u = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 12*o - 3*o + 9 to v + a*o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-95)\/(-152)*2\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13946482 is divided by 933?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4348 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11244 (base 9) in base 7?\nAnswer: 30562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*v + 5*w - 16, 4*v = 5*w + 71. Let m = 8 - v. Let d be (-26)\/(-6) - (-2)\/m. Calculate the highest common divisor of 28 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - (0 - 0 - 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/32*(-48)\/396\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c9bd5 (base 14) to base 3\nAnswer: -220210110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193226\/171 or -1129?\nAnswer: -1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 45*u - 36. Let s(c) be the third derivative of 11*c**4\/24 - 3*c**3\/2 - 10*c**2. Let r(m) = 9*s(m) - 2*v(m). What is the derivative of r(y) wrt y?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 77*i - 47. What is r(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -24*v**2 - 15*v - 4. Let y(d) = -25*d**2 - 16*d - 3. Let n(j) = -3*g(j) + 4*y(j). Find the second derivative of n(q) wrt q.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12261 - -27964. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4\/3, 1, -4, 46613?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.03.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 212145443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 18 = -5*f - 30, 189 = 8*u - f. What is the remainder when u is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87182940 divided by 195.\nAnswer: 447092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**25\/s*(s*(s**(1\/8)\/s)\/s)\/s)**(-4\/11) assuming s is positive.\nAnswer: s**(-177\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lili when four letters picked without replacement from llillllllllilllill?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -1)\/((-4)\/4). Let d(h) be the first derivative of -6*h - 1\/3*h**3 + 4*h**2 + 98. Determine d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 99 = a, 2*x = -3*a - 0*a + 281. Let u = a - 115. Let y(o) = -3*o - 4. Let k(l) = -l - 1. Determine u*k(d) + 5*y(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 6 + -3 + 8 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -5, 19 in ascending order.\nAnswer: -18, -5, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2320\/(-33640)*(-290)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/35 and 2022\/(-85680) + (-38)\/(-323).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 93?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-826)\/(-6) + (-24)\/36 is divided by (-2)\/(-3) + (-103)\/(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qchc when four letters picked without replacement from {w: 3, h: 1, q: 1, c: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k**(18\/7))\/k)\/k)\/k**(2\/59))\/((k\/k**(-19))\/(k*k**(-20))) assuming k is positive.\nAnswer: k**(-15059\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/((-15)\/(-8280)). Find the common denominator of ((-5)\/10)\/(5 - 948\/z) and 79\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 540 = 14*v. Suppose -40*b = -v*b - 144. Calculate the lowest common multiple of b and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1\/4 (c) 0 (d) -0.1 (e) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j + 1. Let d = 34 - 36. Give u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 581209.776 seconds?\nAnswer: 0.960995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -40 - r - 2 + 29. What is d(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 132 (b) -5 (c) 1\/3 (d) 0.02277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4586, -4995, -5392, -5771, -6126, -6451?\nAnswer: -6740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24\/7)\/(k**18\/k*k*k*k) assuming k is positive.\nAnswer: k**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308714*o**3 - 24113*o**2 + o.\nAnswer: -1852284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.169, 2, -0.5, 0.3 in descending order.\nAnswer: 2, 0.3, -0.169, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 388*o + 28*o + 181*o + 13005 - 87*o + 5*o**2.\nAnswer: 5*(o + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37831, -75697, -113565, -151435, -189307, -227181, -265057?\nAnswer: -302935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243*q**3 - 426*q**2 - 13*q - 11636944.\nAnswer: 729*q**2 - 852*q - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/3)\/(12\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275 - -280. Let s(m) = m - 1. Let b(l) = -4*l + 3. Let u(h) = h - 3. Let o be u(2). Let n(k) = o*b(k) - 5*s(k). Calculate n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -42*i - 133 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0 + 1\/12*s**4 + 0*s**3 + 0*s + 5*s**2. Let y(k) = -k + 2*k - k + 2*k**2. Calculate c(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11690 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 6487.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -7 (c) -1 (d) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2497 (b) -22 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 1 + 21*x.\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b796 (base 12) in base 4?\nAnswer: 110012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - (-39)\/(-9). Let u = 19 - 16. Let k(o) = -2*o + 57 - 31 - 24 - 5*o**2 - o**u. Calculate k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 5) to base 14\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + (-1 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-2\/15)\/j)\/j)\/j)\/((j*j**6\/j)\/j) assuming j is positive.\nAnswer: j**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 49. Suppose 4*m - 60 = -5*z, -4*z + 51 + 33 = -4*m. Suppose 4*o - i = z. Calculate the highest common divisor of 143 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/8 + k**4 + 87*k**3\/8 + 125*k**2\/4 + 73*k\/2 + 15.\nAnswer: -(k - 15)*(k + 1)*(k + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 623*z - 95 - 85 + 10*z**2 - 2*z**2 - 677*z - 6*z**2.\nAnswer: 2*(z - 30)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -190 - (1 + -2 - 0). Let m be (-1 + 2)\/((-7)\/d). Suppose -2 = 5*h - m. Solve -h*b - 19 = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -13 - (0 - -62 - (-64 - -28))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7965 is divided by 341?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*o + 51589 + 883, 4*o + 52409 = 3*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472838?\nAnswer: 2, 17, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2\/13*z**2 - 8\/13 + 8\/13*z = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 10*z**2 + 12*z + 26. Calculate the remainder when k(11) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10598?\nAnswer: 2, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2 - 1\/(-3)). Suppose -2*r - r = -n*r. Solve r = 5*v + 5*h + 5, -2*v + h = -3*h + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 2*f**2 - 16*f - 11. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**0\/s)\/s)**(-2\/21))**13 assuming s is positive.\nAnswer: s**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 367*q - q**2 - 148890 - 148887 + 297778 as p*q + w*q**3 + r + z*q**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*f - 3 = 0, -4*j - 13*f + 12 = -9*f. Suppose 4*o - 1823 = -j*n, n - 452 = -o - n. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9 = w. Suppose -5*y + 17 + 33 = 0. What is the remainder when 1 - 18\/(2 - w) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t**2 - 33*t - 36*t - t**3 + 129*t**2 + 37*t + 34*t in the form h + g*t**2 + o*t + f*t**3 and give g.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**3 + 9*y**2 + 9. Let v(s) = -4*s**3 + 10*s**2 - 4. Let j(m) = m**3 - 3*m**2 + 1. Let t(a) = 14*j(a) + 4*v(a). Give -2*c(q) - 9*t(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 14598.\nAnswer: 160578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -55650 divided by -123\nAnswer: 18550\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 61. Solve 0 = 5*y + 4*u - 26, -4*y - 5*u = h - 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2110*u = -2*s - 1717*u + 1213, 5*u + 66 = 3*s - 0*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = z + 7, 3*w + 18 = 2*z + 43. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165109 is divided by 13759.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 832 - 4141\/5. Which is bigger: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/231718 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1973*t - 1405*t - 5 - 1401*t + 838*t + 5.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)\/(-2 - (78\/20 + -6)). Let d(p) = 87 - 2*p - 143 + 78. Determine d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + 4 + (5 - 18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 5*o**4 - 4*o**4 + 15 + 8*o**2 to l*o**2 + m*o + c*o**3 + s + w*o**4 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.72 + -0.3. Let h = -5.02 - c. What is the fourth smallest value in -7, -3\/5, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7450, -14923, -22438, -30001, -37618, -45295?\nAnswer: -53038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12082*r + 12087*r + 25, 4*d - r + 1 = 5*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2, -2021, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 4*c**2 + 7*c + 28. Let u be x(-3). Suppose 0 = -8*k + 44 + u. What is the least common multiple of 15 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 848 - 212. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 1. Let j(y) = 3*y**4 + 11*y**3 + 6*y**2 - 14*y - 10. Let n(t) = j(t) - 2*p(t). Factor n(x).\nAnswer: (x - 1)*(x + 2)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*u - 8*u**3 - 132*u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 26 = 19*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -284 * -0.2.\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 6*a + 12. Let f be v(-7). Is 6 a factor of 30*(-8 - -2)*f\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2584640, -2584636, -2584632, -2584628, -2584624?\n\"Answer: 4*q - 2584644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651 is divided by 102?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 82 - 50 = 0. Let m be 0 + 0 + -3 + (-3 - x). Solve -3*j - 2*j = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/3))**(1\/2)\/(o**0)**(-38)*((o\/(o*o**(-1\/5)))\/o*o)\/(o\/o**(1\/10))*((o\/((o\/(o*o\/(o*o**(3\/5))*o))\/o))\/o*o*o)\/o**(2\/5) assuming o is positive.\nAnswer: o**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9574176 divided by -29.\nAnswer: 330144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 6, k: 2, l: 2, n: 5}. What is prob of sequence nta?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (-44 + (-3 - -24) - -38).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -311755586 + 0.4?\nAnswer: -311755585.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 6. Determine r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006975 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/3 + 1064*j**3\/3 - 100040*j**2\/3 = 0. What is j?\nAnswer: 0, 122, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:44 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 45\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 56232*a - 170 + 80 + 83.\nAnswer: 56232*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 < -663\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 + -1.3. Let o = -3 - -2.9. Let p be 1*3\/7 - 0. Which is the third smallest value? (a) f (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -3891\nAnswer: -50583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 371472 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3 = -5*k, 434993*k = 434988*k - 4*i + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.061+-1064.56723\nAnswer: -1064.62823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105286, -420960, -947038, -1683526, -2630430, -3787756?\nAnswer: -5155510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1159727 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2842\/(-7) - 3\/(2 + 1). Let s = q + 743. Suppose s = 11*b - 511. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*(-8)\/(-50). Let u = 8.6 + -6.6. Let d(j) = -4*j - 81. Let f be d(-21). What is the closest to -0.1 in u, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4831*k + 483097. Calculate a(-100).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8726 rounded to the nearest 100?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41 + -0.09. What is the second biggest value in -2, c, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:28 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 + 0 - 1. Let d = 4186 - 4183. Solve -2*a + d*a + 4 = z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + 5. Calculate the remainder when v is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2883, 7387, 13517, 21273, 30655, 41663, 54297?\n\"Answer: 813*k**2 + 2065*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4029491 minus -2.3?\nAnswer: -0.1029491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568144 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -481107 and -481101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(675)*-5 + -5)**2.\nAnswer: 4500*sqrt(3) + 101400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-10))\/(4\/(-240)). Let y be 6 - -589 - (13 - (3 + -9)). What is the greatest common divisor of s and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2693*p - 5386*p + 2694*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152*96\/6840*3)\/(-1*1\/10)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, -8, -1, 10, 4, 3.\nAnswer: -140, -8, -1, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -192?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*s - 86, s = c + 4*s - 17. Suppose -3*b + c = 104. Let i = -16 - b. Calculate the least common multiple of 9 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100*-1669570\nAnswer: 166957000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.438*1.1.\nAnswer: -0.4818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in 3, -55, -0.3?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (2 + 918)*(-6)\/(-15). Let s = 15 + l. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*b + 25, -11 = k + 2*b - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 11 = s + 3*m, -4*s + 28 = 4*m. Suppose 4*b - 3 - 5 = 0. Is (2\/b - -2) + s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*c + 2 + 4, 2*c + 6 = 2*o. Let n be -2 - 8\/(-12)*-3. Let y be (19\/n + 7)*(-16)\/(-3). Solve 4*f - y = o*m, -m + f = -6*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7.88. Let q = -1 + z. What is q rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 (base 11) in base 10?\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4729514.\nAnswer: 2, 41, 137, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*g = -1920, 0 = 2*c + 2*c + 3*g - 1922. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0569 in 1\/282, -0.3, 0.4?\nAnswer: 1\/282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*n - 292*n**2 - 425*n**2 - 2 + 202*n**2.\nAnswer: -515*n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191011 and 279287.\nAnswer: 70101037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6 = -k, -k + 49*x - 47*x = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**6 + 391843*s**5 - 2*s**2 - 7*s + 11168.\nAnswer: 240*s**3 + 23510580*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33466872 and 10.\nAnswer: 167334360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.626 + 4.626. Let y = 2.5 - 2. Sort u, 0.2, y, 1\/4 in descending order.\nAnswer: u, y, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + q - q)*(-4 + 2 + 3) - 340*q + 904*q + 2 - 439*q to a + b*q and give b.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -480*d*h**2*z**3 + 7*d*h**2*z - 8*h*z**2 wrt z?\nAnswer: -2880*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 461.6215ng?\nAnswer: 0.0000000004616215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/9 - 1)*(5 + -6). Suppose z = 2*z - 2. Sort z, m, 1\/5.\nAnswer: m, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2470*l**4*y - 2*l**4 + 13*l**3*y - 2*l**3 - 23*l**2*y - 15*l*y + 17*l wrt l.\nAnswer: -59280*l*y - 48*l + 78*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 divided by 5?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2661\/2 + -1363. Let v = l - -32. Let r = 6 + -4. Which is the second biggest value? (a) v (b) 1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -15*j**5 + 1368*j**4 - 15243*j**3 - 755370*j**2 - 2686200*j = 0.\nAnswer: -74\/5, -4, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -462 + 596. What is the remainder when f is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.32 + 13. Let r = p + -0.08. What is the nearest to -2\/7 in 4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -730, -680, -450, 50, 910, 2220, 4070, 6550?\nAnswer: 9750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523694843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-2)*a)\/a*a)\/(a\/(a*a**(1\/8)*a)) assuming a is positive.\nAnswer: a**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (15 + (-19 - (-12 + -4))) - (-1 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-124 - -126) + (12 - (-2 + 0 - 3))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 7, e: 2, q: 2, c: 4}. What is prob of picking 2 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 8*g**3 - 4*g**3 - 5*g**3.\nAnswer: -g**3 - 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m. Let d(l) = -l - 20. Suppose 7 = 5*c + 87. Let r be d(c). Let f(o) = 16*o - 19. Let j(v) = r*u(v) + f(v). Find the first derivative of j(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -14 - 94. Calculate the greatest common factor of h and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 + 1?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702527519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457998?\nAnswer: 2, 3, 76333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12826 and 242.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 5077524.\nAnswer: 35542668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -131.5. Let d = f + -9.7. What is the closest to 3\/4 in -4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5614, 5590, 5550, 5494, 5422?\nAnswer: 5334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2266371 by -496.\nAnswer: 2266371\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 118.\nAnswer: 31\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*h - 4, 4*h = -3*w + h - 3. Let t be -2 + 1 - w\/3. Let r = -267\/7 - -6633\/175. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206398228?\nAnswer: 2, 23, 571, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2. Suppose 0*w + w = -1. What is the units digit of o(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*r - 83*r + 294*r - 144*r + 232*r.\nAnswer: 460*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 295 and 50.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 63 = 3*f. Let q = f + 51. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 4*w**2 + 0*w**3 + 0*w**4 + 1\/540*w**6 + 0*w + 0 + 1\/135*w**5. Factor z(x).\nAnswer: 2*x**2*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((-219)\/6570).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*m + 5 = 0, -3*s + 5 = 3*m + 2. Solve g = 3, 0*o - s*o + 5*g = 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:22 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(-140)\/(-294)*(-15)\/(-50).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + o + 1. Suppose 4*u - 10*u = -36. Let c(m) = 5*m**2 - 11*m**2 + 4*m + u*m**2 + m**3 + 3 - 3*m**2. What is -c(i) + 3*d(i)?\nAnswer: 2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, 9, 46, 119, 240, 421, 674, 1011?\n\"Answer: 2*z**3 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -4, -3, -636, 4 in descending order.\nAnswer: 6, 4, 2, -3, -4, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 5. Suppose -4*f - 4*j + 42 = j, 8 = 2*f - 4*j. Let b be k(f). Suppose 0 = -s + 3, -5*n - b*s = -205 + 56. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 9*o + 1. Let f be c(9). Suppose 0 = -2*y - 4*k + 834, 0 = -y - 5*k + f + 185. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 47 + 1\/21*s**3 - 3\/7*s**2 + 0*s. Find x such that c(x) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*c + 277*c = -165 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -a72e79?\nAnswer: -a72e78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:19 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/82, 2, 22\/5.\nAnswer: -5, 1\/82, 2, 22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -294, -4, -14 in decreasing order.\nAnswer: 2, -4, -14, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85 + 7*l**2 + 160 + 95*l**3 - 9*l**2 + 3*l**2 - 77 to the form n*l**3 + o*l**2 + t*l + x and give n.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/840 + q**6\/90 - q**5\/40 + q**4\/8 - 23*q**3\/6 + 14*q**2. Let z(i) be the first derivative of w(i). Give z(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*(g*(g**(-2)*g)\/g)\/g*g))**(-14\/5)*(g**2*g)**32)\/((g**(-1))**(1\/60)\/(g**(1\/2))**(-35)) assuming g is positive.\nAnswer: g**(875\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3*z + n**3 + 442*n**2*z + 47*n**2 - 130*n*z + 3*n - 10*z - 358141 wrt z.\nAnswer: 3*n**3 + 442*n**2 - 130*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/12)\/(2\/4). What is the third derivative of 3*q**2 + q**4 - k*q**3 + 3*q**3 - 4*q**4 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rarr when four letters picked without replacement from {a: 5, r: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2. Let g(s) = 351*s. Calculate g(m(l)).\nAnswer: -1053*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l - 42. List the prime factors of s(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 1025 - 1025 - 11*h**3 + 0*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20132360 (base 7) to base 6.\nAnswer: 55500335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2. Let n(c) = 2*c**2. Let z(b) = -4*a(b) + 5*n(b). Let p(x) = 71*x + 250. Let d(t) = 3*t + 10. Let u(j) = -150*d(j) + 6*p(j). Determine z(u(i)).\nAnswer: -1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253219740 to the power of 1\/2, to the nearest integer?\nAnswer: 15913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13212113 (base 4) to base 6.\nAnswer: 400035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 14. Suppose 1 - 3 = 2*w - 4*t, w + 5*t + s = 0. Let b be (2\/9)\/(10\/30). Put b, w, 0 in decreasing order.\nAnswer: b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 22*z + 1. Suppose -6*v = -85152 + 24048. Let y(r) = -r - v + 10184. What is n(y(k))?\nAnswer: -22*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**4 - j**3 - j**2 + 2. Let s(l) = -102*l**4 - 4*l**3 - 4*l**2 - 86. Let w(o) = 4*f(o) - s(o). Find the first derivative of w(t) wrt t.\nAnswer: 392*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -68*t - 53. Let p be y(-4). What is the third derivative of z**3 - p*z**2 - 3*z**3 - 50*z**4 + 113*z**2 wrt z?\nAnswer: -1200*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-8))\/(((-14715)\/(-900))\/(-109))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 + -850. Let z = 367 + t. What is the greatest common divisor of z and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Let z be 3\/l - (-41)\/4. Let m = z + -5. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 16 - (39 - (5 + 14) - 29).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1)*84813900\/300 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2629 + 7525. Let h = -3312 + j. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (423\/(-12))\/47*-20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -883 + 2173.\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183 and 33?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498536274 to the power of 1\/2, to the nearest integer?\nAnswer: 59148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**7\/1260 + 3*t**4\/8 - 8*t**2 - 20*t. Let z(r) be the second derivative of u(r). Let n(c) = 33*c**2. Give n(z(g)).\nAnswer: 132*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from ppjuppjup.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*b**2 - 93*b**2 - 43*b**3 + 44*b**2.\nAnswer: -43*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -18. Factor 6*g**2 - 3*g**4 - 3*g**5 - 3 + z*g**4 + 6*g**3 - 3*g + 0*g**3.\nAnswer: -3*(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 10 = 20. Is 30 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3816, 7672, 11464, 15192, 18856?\nAnswer: 22456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 3*q**2 + 9*q - 53. Does 24 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/76 and 10\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/7 - 6717*g**2 - 846634*g\/7 - 1505184\/7 = 0. Calculate g.\nAnswer: -16, -2, 47037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4214*y**2 - y + 4207*y**2 - 45 + 2*y. Let d be h(9). What is d rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + -0.3. Let g = -2.4 + 2.8. Which is the closest to 1\/4? (a) v (b) g (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:59 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-2 + 2 + 1)*(16*k**5 + 10*k**5 - 6*k**5).\nAnswer: 20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 1. Let f(m) = 150*m**2 + 8*m + 6. Give -f(s) - 6*v(s).\nAnswer: -150*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6079652?\nAnswer: 2, 1519913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*u**2 - 147*u**2 + 1 - 340*u**2 - 6574*u**3 + 6572*u**3 - 2*u in the form a*u + h*u**3 + v + n*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + -1. Let s = 13 + t. Which is the second smallest value? (a) -3 (b) -2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 374.\nAnswer: -75\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:06 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-137 - (-40 + -51))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 0. Let w(d) = -d**2 + d + 34. Let n be w(b). Suppose -3*g + n = -j - 2, -g + j + 14 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = 0, 6*j - 12 = p + j. Suppose 6*v - 101 = v - u, -2*v = 5*u - 45. Calculate the remainder when v is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 12\/13, 2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 21*j + 49. Let a be g(7). Suppose 7*d - 2*l = 4*d + 483, a = 5*l. Is d 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 7:03 PM and 5:37 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -0.66. Let h = -31 + -44. Let l = h + 77. Which is the nearest to j? (a) l (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - z - z**2. Let o be 2\/4 + 6\/4. Let b(j) = 0*j + 3*j - o*j. What is b(f(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4996455 to the nearest integer?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)*1*(-24)\/(-6). Let f be g\/(-5 + 1) - 4\/(-1). Suppose -2*z - 3*z = w - 158, 5*z = f*w - 640. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*h - 9*h + 211, 51 = l + 3*h. Suppose 4*w + u + 46 = 0, l = -4*w + u + 2*u. Let t = 13 + w. What is the least common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1047797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 9*d + 8. Let p be u(-9). Let o = p - 3. Suppose o*a + 5*y - 820 = 0, -y + 6*y - 5 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuhhhuhhhhhhhh. What is prob of sequence uhhu?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149367?\nAnswer: 19, 60493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 4*r - 13, 2*r + 8 = -4*p. Suppose 96 = -r*c + 126. Solve -c*m + 13*m = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 3885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1354 + -1326. What is the remainder when 153 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32755769 - -3?\nAnswer: -32755766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -851387 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34519 is divided by 8611.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70720 and 1376050?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1045 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 19*y**2 - 23*y - 47. Let p be j(-20). Suppose 4*z = 2*c - 12, p = -4*c + 5*z + 25. Which is smaller: c or -13\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14cd (base 16) to base 9\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*f - 36*q + 40*q, -f - 1 = -q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (34 - (12 + -19)) + (2 - (1 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457249 to the power of 1\/2, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1081*t + 26281 + 128*t - 26281 + 1621*t in the form s*t + v and give s.\nAnswer: 2830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - 12.71. Let d = 14.8 + b. What is d rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 - 19*t**2 + 3*t - 1. Let n be o(-10). Let s = n + 2148. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9528 minus 16849?\nAnswer: -26377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*s - 103, -136*s + 371 = 5*f - 135*s. Solve 0 = -f*k + 61*k - 48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n**4 - 1166*n**3 + 21742*n**2 - 18000*n - 2592 = 0. Calculate n.\nAnswer: -1\/8, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 10*t**2 + 11*t - 37. Let n be b(11). Calculate the highest common divisor of 41 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10546 + 552146?\nAnswer: 541300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2230.2802 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34640 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let r be 0 + 8\/2 - 7. Let f(g) = -2*g. Determine r*d(x) + 2*f(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23.3145*-0.08\nAnswer: -1.86516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 2*w + 5. Let p be r(3). Suppose p*b + 56 - 272 = 0. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/14)*z)\/((z\/(z*((z*z**(5\/4))\/z)\/z))\/z*z))**28\/((z**(-4\/5)\/z**(-1\/4))\/(z**(-2\/5))**(5\/7)) assuming z is positive.\nAnswer: z**(5217\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.78 - 0.434.\nAnswer: 3.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-4 + 7 + -4). Round k to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-48)*18\/10*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -121.22992 and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/4)\/3)\/(21\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11524 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 15*s**3 - 110*s**2 + 260*s - 200 = 0?\nAnswer: 2, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55135153 to the power of 1\/2, to the nearest integer?\nAnswer: 7425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037653927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 4, m: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, 50, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4958, 3, -2, 2 in increasing order.\nAnswer: -4958, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -78957704 divided by 14?\nAnswer: -5639836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26224028 is divided by 346?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1206, -2410, -3614, -4818, -6022, -7226?\n\"Answer: -1204*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521, 527, 543, 575, 629, 711, 827, 983?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257876 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3288 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -13 (b) 4 (c) -2 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 6:51 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573462 is divided by 1191130.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1156110 + -360?\nAnswer: -1156470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 63, 79\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(108)*-1 + -3 + (-4*((-2 + sqrt(108) - sqrt(108)) + sqrt(108)))**2.\nAnswer: -384*sqrt(3) + 1789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 30*o - 23. Let g be 27*14\/(-21) + 1\/(3\/6). Give v(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6843*g - 6815*g = -728 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y + 169. Let m be g(-10). Suppose 4*d + l = 13, -4*l + m = 4*d - 19. Solve -2*u = 3*s - 5, -d*u + 1 = 2*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7050 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -15. Suppose 5*m + 8 = -p. Sort m, 0.1, -2 in decreasing order.\nAnswer: 0.1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/16)\/(-6 - 148\/(-24)). Suppose 3*p - 21 + 6 = 0. Solve -4*n + 5*o + 29 = -5*n, p*o + c = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4346 - -2772. Let i = o - -1428.1. What is i rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63980402?\nAnswer: 2, 233, 251, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 10, l: 2}. Give prob of sequence lak.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Let m(k) = -k**2 - 10*k + 2. Calculate the least common multiple of m(-9) and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 2*k - k + (2 - 2 - 3*k)*(0 + 0 - 1))*(70 - k + 3*k**3 + 4*k**2 + 3*k**3 - 73) to a*k**3 + n + r*k**2 + u*k**4 + p*k and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-2)*(-2)\/(-12). Let o = 104.71 + -105. Let a = -0.11 + o. What is the biggest value in r, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/8 - 3 - (-262)\/(-4). Let b be (-766)\/(-8) - (a\/20 - -3). Suppose -b = -n - 5*c, 5*n = n + 5*c + 284. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212217 divided by -10\nAnswer: 212217\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**7\/105 + 22*a**5\/3 + 29*a**4\/3 + 3*a**2 - 20*a. Find the second derivative of b(v) wrt v.\nAnswer: 24*v**2 + 880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2320.\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782568695 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 94*b - 93*b + 12, 0 = 3*z + 2*z - 2*z + b + 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 6*s**2 - 10*s + 8. Let h be x(6). Suppose 0 = 7*j + 3*u - 496 + 5, 2*u = j - 75. Let v = h + j. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-8)))\/t**(-2\/61)*(t\/t**16*t*t*t)\/(t\/t**6*t) assuming t is positive.\nAnswer: t**(-974\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 572*b - 568*b = 4, -3*b = 5*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-28 + 4)*(-11)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 20 + 13 = 0. Let v = 35 + j. What is the third derivative of -19*t**v + 6*t**6 - 11*t**2 + 1712*t - 1712*t wrt t?\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 7:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/2 - 8*v**3 + 19*v**2 - 33*v\/2 + 5 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 32. What is the lowest common multiple of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -760.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -56\/5. Sort 3, -2\/3, m in increasing order.\nAnswer: -2\/3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 91 + 43 = -337. What is the remainder when f is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*z - 376*z + 48706 = 0. Solve -437 = 10*d - z for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015443 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384492011 to the power of 1\/3, to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:13 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 354353012, 354353016, 354353020?\n\"Answer: 4*a + 354353008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 938*k*r**2 + 126342542*k - 47164*r**2 wrt r.\nAnswer: 1876*k*r - 94328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237 (base 12) in base 13?\nAnswer: -c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqqq when four letters picked without replacement from aaqaaaqqaqqqqa?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/4858?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/20 + 5*o**4\/3 + 20*o**3\/3 - 5*o**2 + o + 38. What is the tens digit of c(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5460 and 480.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y + 20 + 42 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 k when three letters picked without replacement from kdfd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*f**5 - 207*f**3 + 1767*f**2 - 22*f - 4169853.\nAnswer: 1600*f**3 - 1242*f + 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2304*p + 167*p**5 + 158*p**5 - 297*p**2 + 2302*p wrt p.\nAnswer: 19500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862710 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*a + 13*a - 9*a - 16*a in the form z*a + y and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036953 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47095849 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003186996 to 7 decimal places.\nAnswer: 0.0003187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -201\/7?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (49\/7)\/7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*t**2 + 159*t**2 + 2*t + 203 - 285*t**2 - 16*t**4 - 3*t wrt t?\nAnswer: -192*t**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/5))\/(b\/(b*(b*b**3*b)\/b*b*b))*b\/(b**(-2\/11)\/b)*b*b*b**(-1\/4)\/b*b)**(-26))**19 assuming b is positive.\nAnswer: b**(-572299\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 + 154. Suppose 12*s = 7*s + 4*r + 4529, 1811 = u*s - r. List the prime factors of s.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/336 and -83\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5, o - 15 = -0*o + 3*n. Suppose o = 2*g + 3*z + 175 + 150, -5*z = 15. List the prime factors of 0 + (1 - g) + 1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(2\/15)*i\/(i\/(i\/(i**(1\/7)\/i))*i))**(-20)\/(i**(-2\/3)*i\/(((i*(i*i**5)\/i*i)\/i)\/i))**(-2) assuming i is positive.\nAnswer: i**(-1760\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 14*k - 30*k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.20385 decades in centuries?\nAnswer: 2.120385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3697245 divided by -537?\nAnswer: 6885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1041 + -977. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84659 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n**(-1\/3))\/n)\/n)\/n*n)**(7\/6))**(-14\/3)*((n\/n**(-2))\/n**(-4\/3))**27 assuming n is positive.\nAnswer: n**(3355\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10478 and 42532?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2549 divided by 45.\nAnswer: -2549\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150180 by -1.\nAnswer: 150180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdqvbbqxuqvuxq. Give prob of sequence uvud.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + f + 507, 5*x - 5*f + 3*f + 1281 = 0. Let a be x\/25 - (-1)\/5. Let v = a - -51\/5. What is the closest to -2 in -5, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by ((-231)\/(-28))\/((-3)\/(-8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*p - j, -3*j = -3*p + j + 71. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)\/v**(-6))**15 assuming v is positive.\nAnswer: v**(1020\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2116*u**5\/15 + 1564*u**4\/3 - 275*u**3\/9 + u**2\/2 + 2678. Factor p(w).\nAnswer: w*(w + 3)*(46*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and -67?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 15*p**2 + 20*p - 6. What is the remainder when f(14) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 - 347 - (-27 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1134126a3 - 5?\nAnswer: 113412699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dateuauutdeue. What is prob of picking 2 d and 1 e?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = -142. Let p = j + 48. Let r = -22 - p. Calculate the lowest common multiple of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-20)*-453*-20 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 4*f**2 + 13*f + 12. Let k(v) = v**3 + v**2 - v. Let r(p) = 2*k(p) + y(p). Is 15 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-4*y - 2*y + 4*y) + 2*y - y - 2*y)*((-2*y + 2*y - 2*y)*(4 - 5 - 1) + y + 0*y + y + 206*y + 82*y - 59*y).\nAnswer: -705*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 36. Suppose -v*l + 11*l = 164. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473.2*0.2.\nAnswer: -94.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 8*c - 407 + 0*c.\nAnswer: -11*c - 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -571, -549, -503, -427, -315, -161, 41, 297?\n\"Answer: k**3 + 6*k**2 - 3*k - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**3 - 2*z**3 - 4*z**3)*(4 - 1 - 2) + 1 - 1 - z**3 + z - z + 4*z**3 as k*z**3 + j + l*z**2 + u*z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680321281 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52, 14, -26, -68, -112?\n\"Answer: -n**2 - 35*n + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**19\/p*p**13 assuming p is positive.\nAnswer: p**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**3\/5 - 14842*s**2 - 1149262*s\/5 + 593184\/5 = 0.\nAnswer: -18537, -16, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 11:06 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*11*8\/6. Let o = w + -93. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14*7\/(-7). Suppose -25 = 15*k - 10*k, -d - 11 = 3*k. Sort d, l, 12\/11 in ascending order.\nAnswer: l, 12\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.16, 0.5, 453?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 6 = -d - u, 0 = -u. What is the remainder when d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1500696585 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**3 - 3*z**2 + 5*z + 4. Let l be i(-2). What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/3? (a) -0.3 (b) 0.2 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.44 + 4.54. Let g = 0.1 + 0.4. Put o, g, -4 in ascending order.\nAnswer: -4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -4)\/(3\/(-5)). Sort 4, 5, -3, i in ascending order.\nAnswer: -3, 4, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4207 and 5?\nAnswer: -21035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -6*d - 28, -6*d + 7*d - i + 810 - 806 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -2, 9\/1783 in increasing order.\nAnswer: -2, -2\/21, 9\/1783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-2)\/16). Let s = a - -1. What is the second derivative of 2*c**s - 4*c + 5*c - 3*c wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36511718 greater than 36511716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 29, 121\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28251 and 1752?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r - 2. Let p be l(0). Calculate the remainder when p\/10 + (-408)\/(-15) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gugouzgmuug. What is prob of picking 1 u and 1 z?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -7696. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:33 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144671192 - -144671244.9999762. Let i = r + -53. Round i to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212076, -424093, -636100, -848097, -1060084, -1272061, -1484028?\nAnswer: -1695985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 245 + 262 = 2*x, 5*x + 5 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = 3*n, 4*n - 3*n = -3*k + 15. Suppose 3*x = -3*q + 6*q + 75, n*x - 4*q = 78. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 554 + -231. Let i = t - 308. What is the remainder when 116 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166.0710881 + 0.0416881. Let l = b + 166. Round l to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/((g\/g**3)\/g)))\/g*g**(-1\/5)\/g)\/(g**(-2\/5)\/g)**(-6) assuming g is positive.\nAnswer: g**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13\/5 of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3562.0000003168 + -3562. Round c to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8972 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((20\/(-32))\/5). Sort g, 4, 1.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 4*c + 64. Is 1*517 - (c + -18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2253474, -2253687, -2253900, -2254113, -2254326?\nAnswer: -2254539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 8:19 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*j, j = -4*q + 39 - 38 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33256761583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31171635 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2019\/4 - -502. What is the common denominator of l and (-645)\/84*8\/20?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2189 and 80738479?\nAnswer: 888123269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, o: 1, r: 3}. Give prob of sequence ru.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20849 or 83393\/4?\nAnswer: 83393\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*s**4 + 12*s**5 - 24*s**4 + (-2 + 2*s + 2)*(6*s**3 - 8*s**3 - 2*s**3)*(1 + s - 1 - 2*s + 2*s + s + (2*s - s - 3*s)*(-3 + 3 - 2)).\nAnswer: -36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:39 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 289367403 to the power of 1\/2, to the nearest integer?\nAnswer: 17011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-57.301.\nAnswer: -286.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295a2 (base 13) in base 8?\nAnswer: 230060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 7. Let u be ((-3)\/2)\/(n - 0). Let t = 0.75 - 0.75. Which is the fourth smallest value? (a) -4 (b) t (c) u (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005793 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -66. Let s = 56.98 + l. Let t = 2.02 + s. Which is the second biggest value? (a) -0.4 (b) t (c) 2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5028 (base 11) to base 4\nAnswer: -1220131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1453, -3.5, -4, 9, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/4 + (3 - 0). Suppose -3*v + 5*w + 1034 = 0, 3*v - 998 = 3*w - t*w. Suppose -v = -3*l + 2*s + 97, -282 = -2*l + 4*s. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 15*d = -10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -58688 in ascending order.\nAnswer: -58688, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhqhxxhhxhqxnhhqhd. What is prob of picking 1 d and 2 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 161 = 11*k - 196 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1394 - 1264. Solve 0 = -6*f - n + 124 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 + 77. What is the highest common factor of p and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 - 3450*q**4 + 323685*q**3 - 8362960*q**2 + 52496400*q + 241776000 = 0 for q.\nAnswer: -3, 20, 69, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3106164\/79 greater than -39318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.62, 3960\/29.\nAnswer: 0.62, 3, 3960\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**3 - 33*q**3 + 58*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.136 (b) -3\/4 (c) 2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4004 + -1.3004. Let u = -0.05 - 0.25. Sort 4, n, u, 5 in ascending order.\nAnswer: u, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -33*p**3 - 5*p**2 + 3*p + 5. Let c(i) = 17*i**3 + 2*i**2 - i - 2. Let x(m) = -2*a(m) - 5*c(m). Let l be (-35)\/(-98)*2\/(-5)*(2 - 9). Calculate x(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 46. Calculate j(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 553, 0.1, -0.4, 0.13, 3, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -62. Which is the smallest value? (a) -0.4 (b) h (c) 4 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 + -305. Solve 1 = -y - b, 5 = -2*p + 3*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 1278. Let u(l) = -3*l. What is v(u(a))?\nAnswer: 6*a + 1278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573123367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -796 and 1.\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 165. Let c = -97 - z. Let s = -28.15 - c. What is s rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*u + 15, 2*p + 3*u - 9 = -p. Suppose -3*a + p*a = -3*k - 336, 4*k = -4*a + 432. Suppose 2*l - a = -3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.12. Let h = 0.06 + c. What is the nearest to 0 in h, -0.1, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-9) + 17288\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.96 - -1. Let g = 0.0401 - k. Round g to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392194 and 213924?\nAnswer: 2353164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/85 + -2\/85. Which is the biggest value? (a) 4 (b) 11 (c) t (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*p + 14 = -1543*p + 3*u, 3*p = -5*u + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 - 45 = 0. Let l(s) = -s**3 - 7*s**2 - s - 15. Let z be l(-7). What are the prime factors of x\/88 - 313\/z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60868399?\nAnswer: 3709, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -w + 12, -m = 5*w - 49 - 27. Let q be (16 - w)\/((-1)\/(-6)). Let u be (2 - q) + 871\/221. Is 1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 4*l**2 - l + 1. Let b(s) = 10*s**3 + 16*s**2 + 1099*s - 4. Determine b(j) + 4*h(j).\nAnswer: 2*j**3 + 1095*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12. Suppose -5*o = -2*y - 4*o + 6, 3*o + 6 = h. Determine g, given that 2\/5*g**y - 2\/5*g**4 + 0 - 2\/5*g**3 + 2\/5*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 1. Let s(m) = 2*m - 1. Calculate 3*f(t) - s(t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 540\/8 + 3\/(-2). What is the highest common divisor of i and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:41 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5\/2 (b) -1 (c) 1 (d) -4.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212 (base 3) to base 6.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 - 15)*(-5*f - f + 5*f) - 1 + 3*f + 3*f - 4*f)*(-2 - 1 + 8)*(-6*f + 15*f - 6*f).\nAnswer: 285*f**2 - 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -521*-0.4.\nAnswer: 208.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43306 - 0.2.\nAnswer: 43305.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*h + 467 + 72 + 127 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 20344458*t + 2*t**4 - 8288410*t + 161368*t**2 + 1088*t**3 + 36284*t**2 + 11859482 = 0. Calculate t.\nAnswer: -181, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = -16*g - 58. Sort 4, -3, g in decreasing order.\nAnswer: 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 10) to base 5\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 0*p + 0*p + 7*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 216.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3097 + -3080 - (0 + (12 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ette. What is prob of sequence ee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 81. Let o(b) = 2*b - 6. Give o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022190596 rounded to four decimal places?\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2635 = 3*w + w, -2605 = -4*w + 3*k. Suppose -p = -a - 597, 0 = -p + 4*a + w - 70. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + 209*(-11)\/(-4). Let w = v - 4651\/8. Find the common denominator of ((-1)\/(-4))\/(8\/(-18)) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from yyytyty?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3\/3 + 7*m**2\/2 + 9*m - 13. Let z be f(-6). Differentiate -6*l**3 - 6*l**3 - 4 + 5*l**z with respect to l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/3 - 32*a**2\/3 + 34*a\/3 = 0 for a.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -1.4. Let w = -3.3 - t. Let u = -0.331 + -1.669. Sort 0.4, w, u in decreasing order.\nAnswer: 0.4, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3219 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**4\/8 + 2*o**2 + 123*o. Let n(z) = -40*z. Let q(h) = -8*h. Let j(k) = 3*n(k) - 16*q(k). Determine j(s(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71444700 and 1522800.\nAnswer: 857336400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -39, -1 in increasing order.\nAnswer: -39, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*w + 16 + 21, 0 = f - 3*w + 11. Let v = -60 + 36. Let b = 41 + v. Solve -f*c - 3 = b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 48*c**2. Let b = 59998 + -36287. Let p(a) = 4*a**2 - b + 23711. What is p(t(n))?\nAnswer: 9216*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11373116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/39 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/51)\/(t*t**44\/t*t) assuming t is positive.\nAnswer: t**(-2297\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19573\/224 + -2787\/32. Let g be (-15)\/(-4) + (-1)\/(-4). Suppose -p + 4*o = g*p + 11, 9 = -3*p + 3*o. Which is the biggest value? (a) p (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -d - 2*f - 590, 5*d + 3*f + 2950 = 0. What is the hundreds digit of (-21)\/(-7)*d\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223 + 13877349.88.\nAnswer: 13877126.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:52 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(1\/2)\/y)\/y*y)**(-2\/15)\/(y**6\/(y*y**6))*(y*y**(2\/7))**(-1\/21)*(y*(y**(-2\/5)*y*y)\/y*y)**(1\/23) assuming y is positive.\nAnswer: y**(960\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and -95099368981707.\nAnswer: -95099368981706.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*w - 6*w. Suppose 683 = w*p - k - 2*k, -p + 5*k + 345 = 0. What are the prime factors of p?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/(7\/(-7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**3 + 4*n**2 + 4*n - 2. What is the least common multiple of r(2) and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*q + 54*q + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/42 + 3\/6. Let g(v) be the third derivative of 0 + t*v**3 - 4*v**2 + 0*v - 1\/24*v**4. Determine g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 0.408.\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*f = 3*w - 17, w + 5*f + 17 = 0. Let m = w - 14. Let r be (-5)\/15 - 2\/m. Solve 4*l + r = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4*i - 8*i - 13)*(-2 - 2*i + 5*i + i).\nAnswer: -8*i**2 - 48*i + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -114, -116, -118, -120, -122?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 33*a - 76 = 0. Solve 0 = -a*f + 32*f - 180 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.9, 4, 5, 1301.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2588, 5178, 7770, 10364?\n\"Answer: f**2 + 2587*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3\/5 + 398352*x**2\/5 + 73989684*x\/5 + 3438911592\/5 = 0. What is x?\nAnswer: -99402, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 51\/20*z**5 - 1\/12*z**4 - 9 + 125\/2*z**2 + 9*z + 0*z**3. What is the first derivative of j(u) wrt u?\nAnswer: 153*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c - 7. Let h = 8 + c. Suppose -3*w + 207 = h*w. Which is greater: 22 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/((sqrt(8) + (sqrt(32) - sqrt(8)))*-6)*-2 - (sqrt(2448) - -2*sqrt(2448) - (sqrt(17) + (sqrt(17) - (sqrt(17) + sqrt(1700) + 1)))))*4.\nAnswer: -538*sqrt(17)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24680 and 57880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*c + 1 + 29 - 18 to o + f*c and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29120*g**3 - 152252*g**3 - 9*g**2 + 9*g**2.\nAnswer: -123132*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 36 + 12 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - 4*sqrt(2299)*1) + ((-1 + sqrt(2299))*-2)**2 + -2.\nAnswer: -121*sqrt(19) + 9198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**5\/120 + i**4\/8 - 4*i**3\/3 + 3. Let p(g) be the third derivative of m(g). What is the tens digit of p(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 19*l**2 - 5*l - 3. Let y(h) = 15*h**2 + 4*h - 13. Let p(c) = -c**2 - c + 2. Let i(t) = -6*p(t) - y(t). Calculate -5*i(w) - 2*k(w).\nAnswer: 7*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -720 (base 11) to base 7\nAnswer: -2351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 3 (b) 0.15761 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18334\/3? (a) 5 (b) -1 (c) -0.4 (d) 3\/2 (e) -19 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19490867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/27)\/(((-900)\/81 - -3) + 8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 2, i: 8}. What is prob of sequence ipp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26*p**2 + 6373*p - 11978. What is l(-247)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 4898?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, x: 2}. Give prob of picking 2 x and 1 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*f = 21, -3*w = -2*w + 4*f + 6. Solve 0 = -14*g + 11*g + w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 0, -1202, -17, 1 in ascending order.\nAnswer: -1202, -17, 0, 1, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 33 + 1 = 4*y, 8 = 4*f. Suppose -4*x - y = -2*t - x, -7 = -2*t - x. Solve 4*n + r = 23, 0 = t*n + 3*r - 8*r - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122312800 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 + 6*y**2 + 8*y - 1. Let j(d) = -3*d**3 + 4*d**2 + 5*d - 1. Suppose 0 = -52*g + 79 + 181. Give g*c(z) - 8*j(z).\nAnswer: -z**3 - 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24128, -24141, -24176, -24245, -24360, -24533?\n\"Answer: -2*a**3 + a**2 - 2*a - 24125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1519, -2702, -4515, -6958, -10031?\nAnswer: -13734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -389*d**5 + 6*d**2 - 37*d - 15. Let z(f) = 779*f**5 - 13*f**2 + 79*f + 31. Let q(b) = -13*r(b) - 6*z(b). Find the second derivative of q(w) wrt w.\nAnswer: 7660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350 + 4*d + 811 - 2*d - d.\nAnswer: d + 1161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*j - 191 + 77, 2*j = -4*d + 90. Suppose 0*m + v - 27 = -2*m, 3*m + 5*v = 51. Suppose y = d - m. Are y and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.455 plus -14408?\nAnswer: -14405.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2. Let f(r) = 2*r**2 - 6*r. Let l(d) = -4*d**2 + 13*d. Let a(o) = 13*f(o) + 6*l(o). What is a(q(j))?\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - m + 2. Let f(p) = -9*p**2 + 2*p - 3. Determine 3*f(n) + 5*q(n).\nAnswer: -7*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80310044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1877 divided by -60\nAnswer: -1877\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*a - 3*s - 151, 3*a = 5*s + 333. Let j = -180 + a. Let d = j - -150. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -106\/5. Let c(s) be the second derivative of -1\/12*s**6 - n*s**5 + 0 + 0*s**2 + 1\/6*s**3 - 1\/24*s**4 + 5*s. Let c(w) = 0. Calculate w.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-468)\/52 - 6\/1. Let o be 12\/p*(-3300)\/40. Calculate the highest common factor of o and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000072947 to 7 decimal places.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 - 4*y**4 - 2*y**4 + (0 - 2*y + 0)*(2*y**3 - 4*y**3 + 3*y**3) + 2*y**4 + 4*y**4 - 10*y**4.\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(77)\/(sqrt(21)\/sqrt(3)) - sqrt(11)) + -2 - ((-1*sqrt(132) - sqrt(132))*2)\/sqrt(12))**2.\nAnswer: -16*sqrt(11) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126239, 55, 2, -3 in increasing order.\nAnswer: -3, 2, 55, 126239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6222, 6225, 6228, 6231, 6234?\n\"Answer: 3*x + 6219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16510 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 560.174 to 0 dps.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -35, -5, 1, 24 in decreasing order.\nAnswer: 24, 3, 1, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -643710 (base 8) to base 11.\nAnswer: -137580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((6\/(-9))\/2). Find the third derivative of -c**2 + c**2 + 0*c**2 - 2*c**2 + c**a wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1356 = 6*o - 9*o, 0 = -5*d - 3*o + 1698. Calculate the greatest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 51*r - 520. What is g(25)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 - 4*p + 2. Let y be s(-3). Let m = y - 19. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/3 - 186*n**2 - 332887*n\/3 - 440852 = 0.\nAnswer: -359, -4, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 65661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q + 24 = 0. Let w = 0 - q. Let x = 8 + w. Let u(r) = -2*r + 3. What is u(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.447465683 to 3 dps.\nAnswer: 24.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2)*(-8)\/(-10). Which is the nearest to 2? (a) -2\/5 (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 11*s**2 - 12*s + 2. Let x be q(12). Let o be 13\/(x\/40*4). Let z be (-221002)\/(-13) + (-10)\/o. Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 542 + -941. Let g = j + 3587\/9. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -1, 5, 0 in decreasing order.\nAnswer: 5, 0, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/2079*(-6)\/(-12)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, p: 1, w: 1, y: 7}. Give prob of sequence yr.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 56557602.2 and -4.\nAnswer: 56557598.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0\/(-2))*7\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o = 30*o - 125*o + 217*o - 17442 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/3, 3, -10, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 31. Let h(b) = -b**2 + 9*b + 5. Let a be h(9). Suppose 3*n - 2*n - 10 = 5*z, 10 = -3*n - a*z. Solve 5*y + r + 1 = n, -8 = -3*y + 4*r - i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6670285.29 to the nearest one thousand.\nAnswer: 6670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:52 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55*10\/(-660))\/((-25)\/3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.104 + 0.09. What is q rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 417*z**3 + 430*z**3 - z**4 - 854*z**3 - z**2 - 13 in the form t*z**2 + l*z**3 + h + u*z + d*z**4 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 + g + 7. Let y be o(9). Let c(f) = -y*f + 295*f + 289*f. Let v(d) = -2 + 3 - 1 - 14*d**2. What is c(v(l))?\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 291*t = -296*t - 10, -260 = -l - 85*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1414917 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -4 (c) -36 (d) 0.5 (e) -291\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7 + 2\/7*z**2 + 16\/7*z.\nAnswer: 2*(z + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgg when four letters picked without replacement from {c: 7, g: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -452976388 divided by -4?\nAnswer: 113244097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45238*0.03.\nAnswer: -0.0135714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3262193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0202 + 0.023648. Round a to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309.6492 + -3.9532. Let b = o - 320.69614. Let k = b + 15. Round k to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/(-3)*(-30)\/2)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (11 + -27 - -1 - -6) + -4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w**2 + w - 1. Suppose 3*k - 3*v - 320 = -305, 3*v + 31 = 5*k. Let a(b) = 22*b**3 + 8*b**2 + 8*b - 8. Determine k*i(h) - a(h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1006*b**3*h + 2663389*b**3 + 324*b*h wrt h.\nAnswer: -1006*b**3 + 324*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -319 - -2594. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/6 - 3*t**4 - 5*t**3\/3 + 30*t**2 + 3*t\/2 - 27 = 0.\nAnswer: -3, -1, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + (-13)\/(390\/9020))*-3 is divided by 146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-291)\/194*5\/(10\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9*72\/(-162) - 85\/(-1) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:46 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36991170 and 10530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 3\/2*t**3 - 3*t - 9\/2*t**2 - 1\/12*t**4 + 0. Let z be x(6). What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134\/5 - -1073\/40. Calculate the common denominator of -3\/8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*n + 16. What is the hundreds digit of (-878)\/n - (-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {t: 1, q: 1, p: 1, l: 3, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 932*a**2 - 1. Let i be y(1). Suppose -138 - i = -3*d - 4*s, 0 = 3*d - 4*s - 1085. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -174? (a) -7 (b) 0.00586 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1119 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -37 - 33. Let j(s) = s**2 - 13*s + 9. What is the remainder when 85 is divided by j(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14742*(2\/(-2))\/2. Let a be 5\/(-20) - 88378\/12. Let s = a - p. Find the common denominator of s and 17\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.4. Let h = l - 0.3. Let k be -6 + 1 + 2 + 4. What is the closest to k in 0.3, h, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:18 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/420 + h**4\/84 + h**3\/42 + 9*h**2. Find z, given that y(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2598551 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0*u**2 + 0 + 1\/12*u**4 - 1\/3*u**3 - 1\/60*u**5 - 29*u. Let q(k) be the second derivative of f(k). Determine q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*k + 38 = -48, 68 = -4*y - 2*k. Calculate the common denominator of -33\/8 and (4\/y)\/(5\/37).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 22*a - 5. What is u(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61610488 and 18544.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -341?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y + 30675. Let f be (y\/(-20))\/(6\/8). Suppose 828 = 2*t - 5*n, t - f = 8*n - 3*n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/9 - (65\/15 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = -j, 2*j = j - b - 2. Suppose j = 2*h, -3*l = l - h. Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 0 - 1\/5*a**2 + 6\/5*a = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b - 62532. Let m(c) = 2*c - 16. Calculate m(k(q)).\nAnswer: -2*q**2 - 2*q - 125080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8376275 + 56128235.1623725. Let g = x - 56128242.40000029. Let t = g + -1.6. What is t rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5877 and 125577.\nAnswer: 82001781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 30597.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 17. Suppose -j = -2*z - 3*v, v = 5*z - 3*v. Let r(t) = 0*t**2 + 2*t**3 - 4*t**2 + 5 - t**3. What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/5)\/((1 - 2\/1) + -3). Let p(v) be the first derivative of 34 - 1\/2*v**3 + 13\/32*v**4 + 0*v - q*v**5 + 1\/4*v**2 + 1\/48*v**6. Factor p(c).\nAnswer: c*(c - 2)**2*(c - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260043925 to the nearest integer?\nAnswer: 16126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(-2\/13)))\/w*w**(-6)*(w\/w**(-1))**(-2\/31) assuming w is positive.\nAnswer: w**(-2532\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0377471 - -80.421.\nAnswer: 80.3832529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458974 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + 15. What is the highest common divisor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -15. Suppose 3 + 27 = -5*v. Let d be (360\/50)\/(v\/(-40)). What is the greatest common factor of d and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-7) + 14\/49. Let f be -4*(50\/v)\/(-5). What is the nearest to -2\/3 in 0, f, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -t + 2*u, 33 = t - 2096*u + 2092*u for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84559877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1765864\/(-12))\/((-100)\/150) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-4 + sqrt(68)\/sqrt(4) + -3)*6.\nAnswer: -18*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*w - 659 = 211 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = y + 55, -5*b - 180 - 65 = -y. Let w(p) = -p**3 - 4*p - 6. What is the smallest common multiple of w(-4) and ((-88)\/(-55))\/((-4)\/b)?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a + 60. Let v be b(6). Determine r so that 0*r + 1\/7*r**2 + v = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 217.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769750 is divided by 134.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - t**3 - 37*t - t**3 - 8*t**3 + 5*t**3 + 4*t**3 as b*t + z + w*t**3 + j*t**2 and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9313 - -14882. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*p - 20 = 0, -20058*p = -20061*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose -5*g - 25 - 4 = -l, b*l - 15 = -g. Suppose 8 = -2*v - l*t, v - 2*t - t = 21. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.6. Let z = 3.8 + w. Put z, 1\/9, 2\/5 in ascending order.\nAnswer: 1\/9, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + (-164)\/(-18) - 19\/9 - 4. Which is the nearest to -0.1? (a) l (b) 1.99 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/((-1925)\/14)*(1 - -145 - 1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3371976 and 77787.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28869.7 minutes to nanoseconds.\nAnswer: 1732182000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(960\/225 - (-30)\/(-6))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0327 + 256.9673. Let v = 259 - t. Which is the third smallest value? (a) 4\/9 (b) 29 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 37579, 0.4.\nAnswer: 0.4, 2, 37579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12 - 1)*12\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5909 - 619 = -12*i. Let g(z) = -1 + i*z + 7*z**2 + z**3 - 1092*z + 542*z. What is g(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t**5\/2 - 111*t**4\/2 + 15*t**3\/2 + 75*t**2\/2 = 0.\nAnswer: -5\/7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -9*w + 3*b - 16, -3*w = 3*b - 18. Let l(u) be the first derivative of -3\/4*u**4 - 3*u**3 - 3*u - 9\/2*u**w - 2. Factor l(k).\nAnswer: -3*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from qbwbx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105133 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + q = -4, 0 = -3*r + 23*q - 19*q + 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c73 + -23?\nAnswer: c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4710*n**3 - 2*n**2 + 167*n - 1 wrt n.\nAnswer: -28260*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 8*x**2 + 44*x - 47. Give h(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -0.2 (c) 3\/5 (d) 1009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m**2 - m**2 + 2 - 4*m. Let x = 13 - 16. What is o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 39382.5.\nAnswer: 118147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2*y**3 + 4*q**2*y**2 - 44*q*y**3 + q*y**2 + 28722*y**3 + 51019*y**2 - 4*y wrt y.\nAnswer: -6*q**2 - 264*q + 172332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(2\/(-12)). Suppose 2*m + 3*m = t - 92, -d*t - 2*m + 259 = 0. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**7\/210 - q**3\/3 + 8*q**2. Find the first derivative of d(j) wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*f + 2*f**2 + 366*f**5 - 405*f**5 - f**2 wrt f.\nAnswer: -780*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -512263 + -1147146. Let x = -4069409 - d. What is x rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m + 4. Let p be m\/(-5)*45\/6. Let 1\/2*v**3 + p*v + 3\/2*v**2 + 1\/2 = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*h**2 - 2 + 4*h**2 + 8*h**2 with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1180*o + 1182*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 927 and 1956897?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13583856?\nAnswer: 2, 3, 11, 13, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 529\/9. Let q = -1\/4 - 0. Sort 4, q, f in ascending order.\nAnswer: q, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262630810 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:04 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2232*m**3 - 29*m**2 - 296*m - 43. Let q be x(-13). What is q rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83006478 to the nearest integer?\nAnswer: 9111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6626 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 next term in 1767, 1958, 2149, 2340?\nAnswer: 2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*q + 63006, -3*g - 4*q = -18009 - 29273. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546650 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3872698?\nAnswer: 2, 1936349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -508920000 to the nearest one million.\nAnswer: -509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0979 + -0.0021. What is the closest to z in -3\/5, 3\/5, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-1 - (-4 - -7)). What is the common denominator of (-6)\/(-4) - a\/(-12) and (-1)\/(-5) - (0 - -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 3*g. Suppose -5*j + 6 = 3*o - 20, 5*o - j - 34 = g. Let b be 9 - -6*(-4)\/24. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(14)*-2)\/sqrt(2) + 3 + sqrt(63) + (sqrt(175)*2)**2 + -4 + 5.\nAnswer: -3*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -2669?\nAnswer: 8\/2669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472236679 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*r - 16, -2 = -2*r + 2*h + 2*h. Let m = r - 4. Suppose m = -d, -3*d = f - 7*d - 90. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**31)**(-4) assuming n is positive.\nAnswer: n**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 10556.\nAnswer: 179452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 8. Let r = 24 - t. What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/6 - 8*v**3\/3 + 3*v**2\/2 + 158*v - 2. Suppose -5 - 3 = z. Let b be j(z). Solve h + b = -t + 2, 0 = -2*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urgcy. What is prob of sequence gu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let f be (101\/1)\/(20\/4). Let m = -20 + f. What is the closest to z in -1, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {a: 7, e: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 2*r + 2. Suppose -4*s + 4 = -4*m - 0*m, -9 = m - 5*s. Let f be d(m). Solve -o + 16 = -4*c, 2*o = f*c + 7 + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -0.3513.\nAnswer: 3.3513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -i - 2*w, -2 = 4*i - 3*w - 22. Solve -i*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249345046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017591148.\nAnswer: 2, 7, 251, 144791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9813 - 9810.49. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l + 6. Give z(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + -31. Let k = 106 + x. Solve 4*z + 20 = -5*o + 4, k = -5*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 11*m - 23. Suppose -9 = -m*y + 7*y. Sort -1, -3, y in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 6. Let s be 0\/((-9)\/b) - -2. Solve -s*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 817263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -140410119, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**3 - 1 - 33*z**3 + 1.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/430*(11\/55)\/(1*16\/(-100))\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21247446 divided by 5.\nAnswer: -21247446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 7*n + 25. Let j be z(-14). Let o = j - 100. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = -2*x, 3*x + 5*f + 18 = -7. Let j(r) be the second derivative of x - 1\/3*r**3 - 1\/6*r**4 + 0*r**2 + r. Suppose j(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -91*t - 2. Let m(a) = 14*a. Determine m(g(l)).\nAnswer: -1274*l - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 7*z - 10. Let w be i(5). Suppose 5*o - 10 - 130 = w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 422 - 402. Solve -2*w + p = -3*r + 7*r, -5*r + 12 = -4*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 144\/12)*4\/2. Let s(k) = k**3 + 6*k**2 + 8*k + 5. Give s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-3 + (-3 - -5) + -1)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -4 - (-695 - -715).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20*78\/(-192) - 1\/8. Suppose 3*v - 1376 = -t, -4*v - 4*t - 1840 = -j*v. Let s = -111 + 162. What is the greatest common factor of v and s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 751*c - 405*c + 31 - 450*c + (-1 - 2 + 4)*(2*c + 3*c - 4*c)*(-2 - 1 + 4).\nAnswer: -103*c + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 25*s - 4. Let y be a(-24). Let l be (5 - y\/(-12)) + 3\/(-1). Is l >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340149459.\nAnswer: 3, 13, 197, 44273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13638 + -13631. Let f(u) be the third derivative of 10*u**4 - 200\/3*u**3 + 0 - 2\/105*u**m + 0*u - 1\/5*u**6 + 11\/15*u**5 - 35*u**2. Factor f(j).\nAnswer: -4*(j - 2)**2*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001336 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 216, 220, 226, 234?\n\"Answer: z**2 + z + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440861 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -910 - 728. What is the remainder when r is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 + v + 6. Let o = -42 + 29. Let j(t) = -11*t**2 + t + 13. Let w(s) = o*n(s) + 6*j(s). Let f be w(-6). Is f less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -144, -190, -106, 174, 716, 1586, 2850, 4574?\n\"Answer: 11*o**3 - o**2 - 120*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53330 + 961?\nAnswer: 54091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let t(z) = 3704*z + 3. Give t(x(q)).\nAnswer: 7408*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 693, -815, 5, 1\/5?\nAnswer: 693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (168\/(-35))\/(5\/75). Let l = n + 79. Suppose r - 17 = -3*i - r, -4 = -r. Solve f + 2 = -v + 5*v, -2*f + l = i*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(2 - 325*a + 327*a - 289*a).\nAnswer: 574*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u - 6. Let g be r(4). Let y = -187.7 + 187.3755. Let b = 0.2245 + y. What is the closest to b in g, 0.02, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -667 (b) 0.23 (c) 0.1 (d) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 5*y - 2. Let t be d(-2). What is the units digit of -1 + (4 - (t + -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4451860 divided by -2225930.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 119*d - 34. Let h be ((-30)\/4)\/(10\/(-20)). Let k be r(h). Suppose 2*l = 4*m - 823 - k, -1943 = -3*m + 4*l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + t + 15*t + 90, -8*k + 34*k - 4*t - 30 = 27*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 12.7 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4669*x - 70044. What is s(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339 = 183*a - 1589 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 + 2.88. Let r = 9.08 - 10.08. Which is the biggest value? (a) r (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a factor of 28425822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 907969, 1815917, 2723865, 3631813, 4539761, 5447709?\n\"Answer: 907948*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.602 - 0.67. Let x = z - -0.068. Which is the smallest value? (a) 7 (b) -5\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-16)\/(y**(-1\/8)\/(y\/y**(-1\/2))) assuming y is positive.\nAnswer: y**(269\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -116627 at most -116606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 3*a)*(-2*a**4 + a**4 + 2*a**4) + a**5 + 0*a**2 + 0*a**2 + 73*a**5 + 62*a**5 - 106*a**5.\nAnswer: 28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/7 - 258*d\/7 + 195 = 0. What is d?\nAnswer: -91, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - -10 - 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 minus 0.7?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, y: 2, z: 8, p: 2, w: 1, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-528)\/(-330) - 148\/(-20). Let j(f) = -75*f**3 + 9*f**2 + 9*f - 9. Let w(x) = 37*x**3 - 4*x**2 - 4*x + 4. Give u*w(b) + 4*j(b).\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 2, j: 1, d: 3, f: 1}. Give prob of sequence jf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7 take away -31.891?\nAnswer: 41.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 79, 0, -3, 23, 1 in decreasing order.\nAnswer: 79, 23, 5, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(11) + 0 + sqrt(11)) + sqrt(88)\/(sqrt(200) + sqrt(8)) - (2*sqrt(176)*6 + sqrt(176)))**2.\nAnswer: 1147619\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 20. Solve -8 = 4*r - b*m, 4*r - 4*m - 16 = -5*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 - 2*x - 6. Let z be g(3). Let o = z - -39. Find the third derivative of 3*b**5 + 15*b**5 - o*b**2 - 2*b**5 wrt b.\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 6*c**2 + 4*c**3)*(-67*c**2 - 534*c**2 + 227*c**2).\nAnswer: -1496*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -523586 divided by 30?\nAnswer: -261793\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 3781438.\nAnswer: 7562876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 64 = 3*m - 0*a, -5*m = -a - 118. Suppose 36 = 5*w - m. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23a2 (base 16) to base 10\nAnswer: -9122","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323330222033 + 10?\nAnswer: 323330222103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 183, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*46245.3.\nAnswer: -1433604.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**3 + 0*x**3 + 23*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -0.3, 7, -1\/2, -412 in decreasing order.\nAnswer: 7, -0.3, -1\/2, -3, -5, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*1 - sqrt(65))\/(-2*sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/20 + (-1)\/((-5)\/10). Which is greater: x or 2\/267?\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -5*y. Suppose -3*h - y*d = -28, 2*d = h - 8 - 8. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-185)\/65 + (-21)\/(-7). Let h = 115.12 + -113. Let c = -0.12 + h. What is the third smallest value in 1\/4, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45518 is divided by 800?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1277 + -652. What is the greatest common factor of u and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:35 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.3 + 56.8. What is the closest to 4 in 1, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2382, -4764, -7146, -9528, -11910, -14292?\n\"Answer: -2382*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*55.2619.\nAnswer: -552.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 525150 divided by 5\nAnswer: 105030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 3, k: 5, r: 1, n: 1, u: 2}. Give prob of sequence ng.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*g + 3 = -7, 5*x = 4*g - 10. Let d be x\/(-9) - 101\/9. Let r = d - -14. Put -2, r, 2 in ascending order.\nAnswer: -2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*i**2 + 7976*i + 25*i**2 + 12*i**2 - 69*i**2 - 742*i**4 wrt i?\nAnswer: -8904*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 492\/54*(-270)\/(-60). Solve -78 = -h*l - 201 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.3256 plus -796336?\nAnswer: -796298.6744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 353, 59, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.1 in -0.001, 0.5, -7, -56, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rguygrruygggyry. Give prob of sequence gyyy.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -133*u**3 + 14*u**2 + 19*u + 35. List the prime factors of z(-3).\nAnswer: 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/h*h**7)**(-32) assuming h is positive.\nAnswer: h**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4141 - -4160. Solve 3*v = h - 9, 5*v = 8*h - 5*h - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = u, -3*u + 227*j + 6 = 230*j. Solve 2*x + 4 = -2*a, u*x - 5*x - a - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/5 + 163*x\/5 = 0. Calculate x.\nAnswer: 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((sqrt(363) - (sqrt(363) + 0))*2)**2 - (sqrt(363) + 2*(sqrt(363)*-2)**2)))*-1.\nAnswer: 11*sqrt(3) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*a - x + 4*x + 6, 14*a - 5*x + 27 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.223, -2\/31, 129, 0?\nAnswer: 0.223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/5 - 728*b**2\/15 + 21838*b\/15 + 14884\/15 = 0. Calculate b.\nAnswer: -2\/3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1079.942.\nAnswer: -431.9768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -249626 divided by -17?\nAnswer: 249626\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3894 and 2112.\nAnswer: 124608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 7 = -28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11 - 10)\/(2\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p**3 + 12*p**2 - 25*p - 79. Let i(o) = 8*o**3 - 7*o**2 + 13*o + 40. Let d(q) = 6*h(q) + 11*i(q). Is d(-7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*v - 139 + 1118 + 1421. Calculate the remainder when 674 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 68*h - 580 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.6 - 0.28. Let t = m + -1.12. Let v = -2.09 - -0.09. Which is the nearest to 2? (a) 3 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3*q + 3*m**3 - 41*m - 285*q wrt q?\nAnswer: -m**3 - 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a*h**3 - 2278*a*h**2*l**2 - a*h**2*l - 52*h**3*l**2 + 71*h**3*l + 5*h**3 wrt l.\nAnswer: -4556*a*h**2 - 104*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 238 = -0*d + 2*q, q = 2*d + 96. Let w = 18491\/13 + -1426. Calculate the common denominator of d and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 27. Suppose -z + 0*z = -d. Calculate the lowest common multiple of 6 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = -58. Suppose 30*h = -14*h + 352. Calculate the remainder when c is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 + 15*v**3 - 5172*v. Let b(d) = -11*d. Calculate o(b(r)).\nAnswer: 121*r**2 - 990*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240 + -303. Which is the closest to 0? (a) g (b) -0.3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (3 - 44\/4). Put s, 3, 5 in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479 - 472 + 1457 = -224*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from {k: 2, r: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.21 (b) -0.2 (c) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8942608*h**5 + 2*h**2 + 5244666*h?\nAnswer: -178852160*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6171.5 + 6171. Which is the nearest to -17? (a) v (b) -4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*t + 86*t + 57186 = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/60 + s**2. Let p = -3 - 7. Let f(n) = -2*n**2 - 3. Let k(a) = 6*a**2 + 10. Let i(c) = p*f(c) - 3*k(c). Give i(o(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/425)\/((-9)\/(90\/4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-138)\/(-483))\/((-36)\/105))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5525321 millilitres to litres.\nAnswer: 0.0005525321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 149.107. Let k = -0.129 - i. What is k rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from wwdddddwwdddw?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 281aaa - 6?\nAnswer: 281aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 4*u**2 + 5*u + 40. Let k(x) = 2*x + 1. Let s(f) = -2*f - 1. Let h(c) = -6*k(c) - 5*s(c). Give 2*b(r) + 9*h(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/10 - 104*s**3\/5 + 5589*s**2\/5 + 78732*s\/5 - 1578. Factor u(r).\nAnswer: 2*(r - 81)**2*(r + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58085.08 to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u. Let b(l) = 469*l**2 + 6*l. Calculate n(b(v)).\nAnswer: 3752*v**2 + 48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75921 - -17?\nAnswer: 75938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**3 + 12*x**2 - 9*x + 2. Let o(m) = -5*m**3 - 6*m**2 + 4*m - 1. Let z(s) = 5*o(s) + 3*v(s). Suppose 5*j = 169 - 144. Determine z(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(-2\/35)\/(x**(-2\/5))**(-1\/26) assuming x is positive.\nAnswer: x**(-101\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6501056261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.22942s?\nAnswer: 4229.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 3230?\nAnswer: 12920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000110100110111 (base 2) in base 3?\nAnswer: -121211010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3143 - 3174 - (-66 - -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 10696.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggyygyyygyg. Give prob of picking 2 g.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let c(i) be the second derivative of 0*i**3 + 0 + 0*i**2 - 4*i - 1\/6*i**4. Calculate c(v(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 + -235. Suppose 57 = 3*y - u. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -f64a0 (base 16) in base 10?\nAnswer: -1008800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 90*f + 20. Let t = -22 + 18. Let u be ((-20)\/1)\/(1 - t\/(-2)). Let c(z) = 13*z + 3. Let d(w) = u*c(w) - 3*x(w). Let y(j) = -4*j**2. Calculate y(d(v)).\nAnswer: -400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7116, -6992, -6868, -6744, -6620, -6496?\n\"Answer: 124*y - 7240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (5 + -9 - -11 - (22 - 10)) + -9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3263\/11 + 297. Are l and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 19. Let k be 59 + ((-16)\/y)\/(-4). Suppose -10*o = -13*o + k. Calculate the smallest common multiple of 4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1903.\nAnswer: -190.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/56 and 59\/2184?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -168 + 477 + a - 155 - 154. Let s(g) = g - 1. What is 6*s(n) - 5*x(n)?\nAnswer: n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {a: 2, x: 1, l: 2, n: 2, h: 5, q: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -195, -2\/3, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 47 + (-31 - (-3 - 10)) + 7 + 1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose -y*h + 6 = -60. Calculate the remainder when 42 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4372 * -4.\nAnswer: -17488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 27.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -0.2 (c) -2\/5 (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by 2?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*h - 995*h - 423*h in the form q*h + l and give q.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 2864170?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 744 - 360. Let h = z - 1914\/5. Which is greater: h or 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let t(g) be the third derivative of -11*g**4\/12 + 45*g**2. What is t(s(p))?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4*4\/(-32))\/(4\/144). Suppose 3*l - y = 55, -l - 4*y + 0*y + 14 = 0. Let b be 12\/l + (-44)\/(-6). Solve -g = -3*k + b*k + 3*z, 2*k + 4 = 2*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. Let y(g) = 0*g**2 - g**3 + 2*g**2 - g**3 + 2*g. Calculate y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.3 + -2.3. Put -0.3, v, -0.4 in decreasing order.\nAnswer: v, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 71 = -14*d. Suppose d*h - 16 = -11*h. Calculate the highest common factor of h and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from uuyuuykukuku.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9936)\/11040*(-2)\/(48\/(-580)).\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 1789161.\nAnswer: 12524127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -4\/11, -3, 1\/3, -2 in descending order.\nAnswer: 1\/3, 0.02, -4\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651293678.\nAnswer: 2, 7, 46520977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*10*78\/540*6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 35093?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -r, 27*o - 5*r = 23*o + 12635. Is 35 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weee when four letters picked without replacement from {j: 1, w: 1, d: 3, b: 1, e: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, -62, -1238, -2 in ascending order.\nAnswer: -1238, -62, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2490 and 65\/113815161.\nAnswer: 1138151610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1070 and 19714.\nAnswer: 10546990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-2))\/((-3)\/(-3)). Let k = 3 - h. Let a(y) = y + k*y + y. Let x(f) = 5*f. Give 4*a(u) - 5*x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 87. Calculate u(14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132123162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7.9792, 18, 0.1, 0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 2. Let z be d(-3). Let k be 26\/z - (-8)\/20. Solve -4*l = 3*u - 8, 6 = -2*l - k*u + 4*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000157222 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let f(v) = -v**2 - 30*v - 73. Let q(w) = 4*w**2 + 130*w + 292. Let p(a) = 26*f(a) + 6*q(a). Determine p(m(x)).\nAnswer: -8*x**4 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -402 - -c65?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*r = 20, 8 + 2 = -3*f - 2*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - 1.62. Are -0.3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, 1, -1374881 in ascending order.\nAnswer: -1374881, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 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: Calculate 6\/(-21) + 22\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = 0, -k + 2*x + 0 = -34. Suppose 0*h + 2*w = -5*h + 80, -3*w = 5*h - 80. What is the highest common factor of k and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9944 is divided by 1565?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 + 684 = 3*r. Let v be r\/9 - 2\/(-6). What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 330 (c) -127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 - 43*f**5 + 21*f**3 + 78*f**2 + 2*f + 74.\nAnswer: 240*f**3 - 2580*f**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*h - 190 = 90, -3*a = -5*h - 181. Suppose 4*i + 44 - a = 0. Let s(y) = 3 - y - 5 + 3*y + 3*y**3 - 4*y**3 - 7*y**i. Calculate s(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(180) + -4))**2 + sqrt(180) + 1.\nAnswer: -42*sqrt(5) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 8. Suppose 4*f - 3*f = 4. Suppose -f*r = -27 + 7. Suppose -12 = -5*g + r*j - 2*j, 0 = g + 2*j + 8. Calculate u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/47 + -35\/141. What is the closest to 1\/3 in m, -5, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2114243 divided by 162.\nAnswer: 2114243\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2673*c - 352213. What is f(139)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2076 - 1952. Calculate the remainder when d is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1370820 and 30?\nAnswer: 1370820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiffffm. Give prob of sequence iiff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 10*w - 10. Let x be k(-8). Let d = -17 + 20. Suppose 21*u + d = 22*u. Solve x*b + 3 = u*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 9*i - 144 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g**3 + 18*g**3 + 3*g**2 - 2 + 12*g**3 + 3*g**4 to the form l + h*g**2 + n*g**4 + z*g + w*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4 + 0 - (-1 - 1). Suppose -w*q + 11 = -14. Solve 12 - 37 = q*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 1162 + 82 = 56*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114592526 is divided by 441?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418628.\nAnswer: 2, 7, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**3*m**2 + f**2*m + f**2*t + 3*f*m**2 - 2*f + 4*m**2*t wrt f?\nAnswer: -48*f*m**2 + 2*m + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2014, -16017, -54022, -128029, -250038?\n\"Answer: -2000*i**3 - i**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45665235.\nAnswer: 3, 5, 7, 11, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -51. Suppose -4*z + m = -0. Let q(w) = -21 + 29 + w**2 + 0*w**2 - 8*w. Give q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + w - w**2 - w - 2*w + 6 in the form s*w + h + j*w**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -64, -104, -146, -190?\n\"Answer: -d**2 - 35*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)*-13*-5. Calculate the greatest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43056, -43280, -43660, -44202, -44912?\n\"Answer: -l**3 - 72*l**2 - l - 42982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22.83+231\nAnswer: 253.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 9*i - 2. Let n be r(-8). Let d = n + 11. Let w be -1*-8*d\/(-2). Sort -7, 0, w in descending order.\nAnswer: 0, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5275452 by 91.\nAnswer: 57972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106622 < -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 5*j - 3*j**2 + (-j + 1 - 1)*(-2 + 2 + j) + 3*j - 3*j**2 - 3*j + (-5 + 4*j + 5)*(6*j - 2*j - 3*j) to the form u*j + i + m*j**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t = -41*t + 10. Suppose 2*m - 4*m + t*x = 19, -4*x = -m - 17. Solve 3 = m*f - 2*o + 15, o = -3*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2673 and 666.\nAnswer: 197802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108914 and 284?\nAnswer: 217828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*x**5 - 4*x - 1 wrt x?\nAnswer: 800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-127.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 + 146. Does 19 divide 25\/(1*(5 + j)\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 51 = -11. Let c = v - -12. Suppose 3*y + 11 = 2*s + 2*s, -5*s - c*y = -31. Solve 4*z = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 615, 919, 1223?\nAnswer: 1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -145.2. Let y = u + 20. What is the third smallest value in -5, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c - 2, -4*c = 2*q - 2. Let w = q - 5. Let n = 9 + w. Solve 4*f = n*a, -f = f - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -198. Let z be (-1 - (-45)\/t) + (-33)\/8. Let q(p) = p**3 + 4*p**2 + p + 3. What is q(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*w + 4)*(2*w**2 - 2*w**2 - 2*w**3) + (w**3 - 2*w**3 + 2*w**3)*(0 - w + 0) + 2*w**4 - w**4 + 0*w**4.\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 11, m: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-2))\/(3\/393)*-1.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 + 124*n**3 - 232*n**2 = 0 for n.\nAnswer: 0, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/14 - 1) + (-96)\/(-21). Let r be g\/60 + 46\/24. Solve -4*k - 2 - 14 = -3*c, 12 = r*c - 3*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119075, -119074, -119071, -119066, -119059, -119050?\nAnswer: -119039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1505*b**2 - 1560*b + 26. Calculate p(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 20894.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 7761*x - 2 - 7761*x - 8*x**3 - 2*x**2.\nAnswer: -8*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3881 - -3884. Solve i*n + 14 = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 1674?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, 12 in ascending order.\nAnswer: -4, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**7\/315 + 11*h**6\/90 + 7*h**5\/6 - 88*h**4\/9 - 1936*h**3\/9 - 16*h**2 + 3*h - 8. Let d(o) = 0. Calculate o.\nAnswer: -11, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, u: 5, y: 3, b: 2}. What is prob of sequence uyyb?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*p**3 + 2862*p**2 + 96472296 + 8*p**3 - 272317*p + 3*p**3 - 395903*p - 241896*p.\nAnswer: -3*(p - 318)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**2 - 3*q + 5*q**2 + 51*q**3 - 20*q**3 + 393*q - q**2 wrt q?\nAnswer: 186*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10890 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(21) + -1*sqrt(21))*4)\/(3*sqrt(48)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 4:23 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762246, 762248, 762250, 762252, 762254?\nAnswer: 762256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11438179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 2285 + 5782 = 0. Let p = g - 264. Sort p, 0.5, -5\/6, 1\/7 in increasing order.\nAnswer: -5\/6, 1\/7, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -17*q**7\/70 + q**6\/60 - 197*q**5\/20 - 2916*q**2. What is the third derivative of h(c) wrt c?\nAnswer: -1224*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 0.003\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404647149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1158933500 to the nearest one million.\nAnswer: 1159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -43. Calculate the lowest common multiple of 2*2\/4 - -17 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2*s + 2*s**4)*(1 + 2 + 5) - 3*s - 10*s**4 + 24*s**4 - 13*s**4 to the form r*s**3 + v + y*s + b*s**2 + o*s**4 and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 3. Let j be p(2). Let n be (10\/j)\/(2\/3). Suppose 3*m + 0*a - 22 = -4*a, -5*m - n*a = -35. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -125. Solve 3*h - z = 0, -5*h = 3*j + 1 + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177073, 354146, 531229, 708328, 885449?\nAnswer: 1062598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*4*sqrt(72) + -3)*-3 + 5 + -5)*-1.\nAnswer: 54 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, h: 7}. Give prob of picking 1 v and 1 h.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 114?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Let l = -0.6 - 4.4. What is the third smallest value in l, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 + 43*n + 51. What is the remainder when z(-12) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -20\/2241 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 37. Solve -6 = p*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1109224770 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -63, -128, -223, -354, -527?\n\"Answer: -o**3 - 6*o**2 - 16*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 2*t - 49 + 51, u - t = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*l**2 + 85231*k**2 + 114317*l**2 + 2*l + 22 wrt l.\nAnswer: 4*k**2 + 228634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 808 = 82*c - 620. Put 3, 11, 6, c in ascending order.\nAnswer: c, 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -21915 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 4*h - 3. Let i be m(5). Let f(u) = -3*u + u - i*u. What is the units digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42748271 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from ktbnttnbhonbtt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*s)*(s**2 - 2*s**2 - 3*s**2) + (-8 + 2 + 9)*(4*s**3 - 6*s**3 + 4*s**3).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2 - g - g - g**3 - g. Let r(u) = -4*u**3 - 14*u - 11. Let t = -24 - -22. Let s(y) = t*r(y) + 11*h(y). Find the second derivative of s(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6951498811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*p - 22*p + 66 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - 28112\/(-1512)*4.\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p - 77*p - 28 = 0. Suppose -1080 = -p*h - 198. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(114))\/(1*(sqrt(6) + sqrt(6) + sqrt(54)\/sqrt(9))).\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*h - 3*h**2 + 131*h + 3 - 3 + 23*h**2 in the form b*h**2 + n + l*h and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:17 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/(-1)*(-80)\/135\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-2)\/(sqrt(7) - -1*sqrt(1008)).\nAnswer: 2*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -91*g**3 + 6*g**2 - 6*g + 2. Let u(o) = -o**3 + o**2 - o. Determine 6*u(r) - z(r).\nAnswer: 85*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-22 + -18)) + -20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675502723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 33, 45, 61?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 973056905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3703686.21 minutes in weeks?\nAnswer: 367.4291875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 - 78 = 3*c. Let v = c - 57. What is the remainder when v is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-828)\/9 + (1241 - 1144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 4*g + 8. Suppose 52 = -g*r + o, 4*o - 44 = 5*r + 10. Let q = r + 37. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84103 and 3?\nAnswer: 252309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23086 - 4435 = 2664*p - 226437 for p.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -8. Sort -3\/2, 7, r.\nAnswer: r, -3\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26354, 52907, 79672, 106649, 133838, 161239?\n\"Answer: 106*s**2 + 26235*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0646 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 8543*x**3\/3 - x**2 - 640*x - 2826. What is the second derivative of b(c) wrt c?\nAnswer: 17086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2346)\/(-105) + (-12)\/(-9 + 5). Let y = -176\/7 + c. Factor -y*t - 1\/5*t**2 + 0.\nAnswer: -t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000436306 rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 27 = -5*d + 3, a - 5*d = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2, -0.5, -2\/3, -3.305?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 1129*p - 280*p - 2 - 284*p - 287*p - 281*p - 133*p**3 as o*p**2 + a + w*p + r*p**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 60*x + 12 = 64*x, 0 = 5*v + 5*x - 45 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + v + 0*v + 7. Let c be (-1 + -4)\/(3 - 4). Calculate y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let c(u) = -u**3 + 4*u**2 + 3*u - 2. Let n be c(4). Let x be 32\/n + 5\/(-25). Let v(p) = -p + 0*p - x*p + p. Give v(t(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcp when four letters picked without replacement from {f: 1, p: 1, r: 1, g: 2, c: 2, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g = 4496 - 1869 - 1233 + 5206 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.9. Let t = -7 - -21. Let d = t + -10. Which is the biggest value? (a) f (b) d (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by -72*(-3)\/(-9)*-1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -171173, -171156, -171139, -171122, -171105, -171088?\n\"Answer: 17*w - 171190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/164*8\/36.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - 0*q. Suppose q - 4 = -s. Let t be ((-2)\/(-3))\/(s\/6). Solve -n + 5 = -t*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -6, -193977, -3, 3 in increasing order.\nAnswer: -193977, -6, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000111183 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 4*j**2 + 5*j. Let m be n(5). Suppose -5*r = -m*r. Solve r + 1 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -r + c + 3, -4*r + 676 - 674 = 2*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685220991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60090*r - 120182*r + r**2 + 60092*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.559 - 0.061. Let y = s - -0.3. Let t = 0.6 + y. Round t to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*x - 100*x - 21 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13970*b - 166373. Give j(12).\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 1)*(-20 + 6*x + 20)*(8*x**2 - 3*x**2 + 2*x**2).\nAnswer: -252*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*n = -123*n - 80 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/12 (b) -4 (c) 1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndwd when four letters picked without replacement from {a: 1, f: 1, d: 2, w: 5, n: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.9 - 13. What is the second smallest value in 2\/7, c, -1\/5, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 19. Suppose -f - 4*f = -t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271829 - -1908446\/7. Which is smaller: b or 806?\nAnswer: 806","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 821772 - 821772 - 604*w**4 + (3*w - 3*w + w**2)*(w**2 - w**2 + w**2) to the form t*w**2 + n*w**4 + u*w**3 + o*w + p and give n.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b. Let h be y(5). Suppose 3*c = -h + 11. Suppose -7 = c*i - 3*z, -3 = -4*i + 2*z + 3. Solve -2*u - 8 = -i*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(77) - (sqrt(77) + (sqrt(77)*-1*5 - sqrt(77)))) + sqrt(77))*6)\/(-6*(sqrt(252) + sqrt(252)*2 + sqrt(252) - sqrt(252) - sqrt(252))*5).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55901, 56006, 56109, 56210, 56309, 56406, 56501?\n\"Answer: -m**2 + 108*m + 55794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7067 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 0\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 3:35 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42c (base 16) in base 12?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3918683 and 9119?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 152 = 3*v - 6*v, -4*l - 4 = 0. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.02 (b) 0.2 (c) -1984\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 68*b**2 + 53*b + 7. List the prime factors of a(-36).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.52244 > -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 1\/3*w**3 - 1\/10*w**5 + 1\/6*w**4 + 0 + 0*w**2 - 1\/15*w**6 + 3*w. Suppose p(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*u = 107*u - 392 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 388, -3, -3348, 2, -1 in descending order.\nAnswer: 388, 4, 2, -1, -3, -3348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 286403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -497*z**2 - 5978*z - 48. What is s(-12)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 16*t**2 - 2*t - 14. Let p be w(-16). Let x be 12\/p - ((-84)\/9)\/4. Let k(u) = -3*u + 2. Determine k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649547 bigger than 649547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4752 and 6446?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14217 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**7\/1680 - f**6\/720 + f**5\/240 + f**4\/48 + 5*f**3\/6 + f**2. Let u(s) be the first derivative of z(s). Factor u(a).\nAnswer: -(a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 23538038.\nAnswer: -11769019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -25 - 0. Is 7*(q - -4)*-139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 7*z - 2*z + 2*z - 4 + 4 + (1 + 7 - 3)*(1 + z - 1) + (1 - 1 - 2)*(2 - 5*z - 2) - 2*z + 4*z - 3*z + (-1 + 1 - 2*z)*(-2 + 3 + 0) + 4*z - 2*z + 0*z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -0.26. Let f = 10.879 - 10.8. Let j = f - 0.199. Sort j, -5, a.\nAnswer: -5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/5*20\/(-8). Suppose -3*f = -5*p, 3*f - o*p = -4*p. What is the units digit of 1\/(-3)*(f + -183)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75507 (base 8) to base 16.\nAnswer: -7b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -23.7, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 33\/(-3))*-1. Let t = 20 - a. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32 + -3)\/5 + 12. Solve 0 = -i*q - 22 - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 30 = -c. Let s(w) = 4*w**2 - 5*w - 5. Calculate the least common multiple of s(-1) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 7:26 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. Let u(z) = -z**2 - 10*z - 2. Let m be u(-9). Is p\/m - (-1375)\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 694159257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 5*p + 161. Let t = 7 + -1. What is the remainder when a(15) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1045\/2422 + 1\/346. Which is the closest to 1\/2? (a) 2\/21 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2954 + 612. Let k = -21323\/6 + l. What is the common denominator of k and 22\/(-77) + -2*1234\/672?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*v - 21 + 21 to the form m + s*v and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p - 4*p = -75*p + 111 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -j, 4*m - 14*j + 6 = -16*j. Put 5, m, 1, -5 in descending order.\nAnswer: 5, 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((36\/231)\/(-4)). Let t(m) = -m**3 + 6*m**2 + 7. Suppose -3*w = -5*w + 12. Let v be t(w). What is the highest common factor of f and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2744)\/42*(-9)\/12. What is the second biggest value in -3, z, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n - 5*n - 7*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 - 5*u - 3. Let b be l(-6). Let c = 44 - b. Suppose 2*y - 3*p = y + 27, -3*y = -2*p - c. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -863, -1292, -1721?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**3\/3 - 595. Let v(y) = -4*y - 4. Determine h(v(m)).\nAnswer: 16*m**2 + 32*m + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a48 + 1b0?\nAnswer: 6c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19437 - -19439. Solve 25*n + 14 = -5*c + 24*n, 5*c + w = 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -465?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 381 (base 9) to base 3\nAnswer: 102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -7*x**4\/24 - 13*x**3 + 111*x**2. What is f(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g - 2*g)*(4*g - 3*g**2 - 4*g) - 19 + 212832*g**3 + 37 + 4*g**2 - 212833*g**3 as u*g**2 + j*g**3 + z*g + m and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/((-6)\/36). List the prime factors of (11\/j)\/((-1)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036102879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1791 + 427 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**3 - 6*w**2 + 2*w - 6. Let l be 20\/8*48\/20. Let a(r) = -6*r**3 + 6*r**2 - r + 5. What is l*a(m) + 5*t(m)?\nAnswer: -m**3 + 6*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0212494 rounded to four decimal places?\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1996, -3981, -6002, -8059, -10152, -12281, -14446?\nAnswer: -16647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from kqfyj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(14\/5)\/h*(h*h**(-39)*h)\/h*(h*h**(-6)\/h*h)**(-19) assuming h is positive.\nAnswer: h**(294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2610983 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 47. Let v(l) = -l - 31. Let r(p) = -5*o(p) + 8*v(p). Let i be r(9). Suppose 0 = 3*u - 2*z - 28, -7 - i = -u - 2*z. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 g when four letters picked without replacement from {g: 7, w: 12}?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837 times 0.8?\nAnswer: 1469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q + 0*q**2 - 1\/3*q**3 + 10. Let s(j) = -j. Give s(m(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/57, -1, 5\/4?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:42 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*t + 121 - 4*t**2 + 19 + t**2 wrt t.\nAnswer: -6*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + l + 15, -d + 5*l + 18 = -0. Calculate the remainder when -1 - ((-2 - -4) + -6) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/110)\/(5\/20).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p**2 - 204*p**2 - 59*p**2)*(3 + 2 + 1).\nAnswer: -1464*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 greater than or equal to 392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -15044 - 14566. Suppose -2*h + 3*h - j = f, -4*h - 2*j = -19752. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3484539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 7\/5 (c) -18 (d) 0.5 (e) 5 (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -33*v**2 + 34*v**2 - 2*v + 2*v. Let u(o) = -25*o**2. Determine s(u(m)).\nAnswer: 625*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*f + 30*f + 28 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7626 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 551396179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19728 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11405 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, z: 9}. Give prob of picking 4 z.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3 - 6 + 3 + 4*p - 3. Let w be 6\/4*4 - (-26 - -31). Let i be o(w). What is the closest to 2\/7 in 0.7, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -2*n. Suppose 2*l = v + 8, -14 = v - n*l - 1. Suppose -7*k + v*k + 25 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k - 35*k + 1155065 = 7*k. Does 39 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-32)\/10)\/(2\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109307.\nAnswer: 11, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + -4 + 2 + 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 157009931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10944 and 1129284.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 625 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 15*l - 36. Let k = l + 1. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14392 and 6.\nAnswer: 43176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335 and 206963.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 27230?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -211021100 (base 4) to base 9\nAnswer: -251628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/21)\/(3354\/(-7826))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -7. Let n = -5 - l. Calculate the common denominator of -48\/5 and (n\/(-4))\/((-10)\/(-248)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 12, -445?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d - 6. Let m(i) = 3*i + 1. Let j(x) = -2*x. Let l(f) = -4*j(f) - 5*m(f). Let u(z) = 5*g(z) - 6*l(z). Let c(a) = -3*a. What is u(c(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 21583310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 30. Solve n*i - i = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Suppose 0 = -3*y - 3*j - 2*j + 15, 3*y - j + 3 = 0. What is the closest to y in -5, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 30.0388. Round y to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:09 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 16. Let t(l) = -2*l**2 + 8. Let z(b) = 3*q(b) - 5*t(b). Differentiate z(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1375\/495*(-6)\/(-10).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.3 + 261?\nAnswer: 151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddydy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 180*x**2 - 372*x.\nAnswer: 3*x*(x - 62)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -927658\/33 - -28113. What is the common denominator of y and -59\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79225*s**3 + 188846*s**2 wrt s.\nAnswer: 475350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 108449.67 months?\nAnswer: 903.74725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o**2 + 5*o**2 + 25*o**2 - 7*o**2 as u + h*o**2 + d*o and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 6*s + 3\/2*s**5 - 5\/9*s**6 + 4\/9*s**3 - 4\/3*s**4 + 0*s**2 + 0. Factor t(m).\nAnswer: -2*m*(m - 1)*(5*m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2085*v. Let g(a) = -5*a + 4. Give d(g(x)).\nAnswer: -10425*x + 8340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*j = -5 + 1, -30 = -5*l - 5*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075681 divided by 1?\nAnswer: 1075681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 661*j**6\/15 - 833*j**2 - 109*j + 3. Differentiate c(t) wrt t.\nAnswer: 5288*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a + 79*a + 28*a - 1 + 0)*(-14*a**2 - 162*a + 162*a).\nAnswer: -1372*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/5 - 190*o + 10660 = 0.\nAnswer: 65, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - w - 3*w + 23 = 0, 0 = -5*k - w + 17. Suppose 0 = -4*b - 3*n + 26, -b - k*n = -2*n - 6. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8983155*m**3 - 840474*m - 6 wrt m.\nAnswer: 53898930*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 736 = -0*n. Suppose 89*w = n*w - 12. Suppose -972 = w*a - 13*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 40. Let f = -32 + z. Is f*8 - (11 - 12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/5661 and -151\/222.\nAnswer: 11322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(70\/8) - 0. Let g be (-3)\/((-270)\/12)*(-8 - -20). Factor b + a**2 - g*a - 1\/5*a**3.\nAnswer: -(a - 2)**2*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 715 = 5*f, 0 = -f - 0*f - 3*c - 143. Let q = f + 510. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-18)*(-1 - 2). Suppose j + 16 = d*j. Let f = -12 + j. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1857, 1855, 1853, 1851?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, v: 1}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {w: 5, y: 3, z: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111785 and 14150?\nAnswer: 1117850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12756007854283903\/12291108239272499 - -1179\/6832268881. Let p = -3\/33943 + s. Let o = p - 5581\/424. Calculate the common denominator of -99\/4 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**7\/7560 + g**6\/540 - g**5\/90 - g**4\/6 + 2*g. Let u(d) be the third derivative of k(d). Suppose u(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 6\/(-4 + 2). Suppose -5*a + 2*a + x - 197 = u, 4*x - 185 = 3*a. Let k = a + 94. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = -12*g - 15*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*t + 4*d - d, -5*t + 15 = -3*d. Let a be t\/(-8) - (-99)\/36. Suppose 3*s + 5 = -2*p + 6*p, a*p = s + 5. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - (-2 + 15))\/((-1)\/1). Let y = 2 + -4. Let a(q) = 10*q**3 + q**2 + 7*q + 7. Let w(s) = 3*s**3 + 2*s + 2. What is u*w(m) + y*a(m)?\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 5, 3.3, -0.4, 3, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 8*a**2 + 37*a - 6. Give o(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 6}. Give prob of picking 1 e and 1 m.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i - i + 0*i + 0*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 762*h - 430*h**3 - 762*h - 1901*h**2 + 1881*h**2 in the form s + n*h**2 + i*h + z*h**3 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(2\/5 + 0). Let q be -12*(3\/p)\/(-1). Let v = q - -15. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800996 to the power of 1\/2, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(148\/296)\/(2\/(-20))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 6*n**2 - 80*n - 28. Calculate p(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 3. Let r be z(-2). Suppose 3*h - r*l = 31, 2*h = -0*h + 4*l + 22. Solve 3*g + 2*g + 11 = -2*p, 0 = 5*g - 4*p - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f44 + 1c?\nAnswer: -f28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2635 - 2635.000002292. What is t rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u. Let a be q(-1). Solve 0 = -3*v - a - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41.7 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 23*q - 17. Let o(s) = 35*s - 16. Determine -3*o(x) + 4*r(x).\nAnswer: -13*x - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -183. What is the least common multiple of m and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 3)*6 + -1)*-6.\nAnswer: -180*sqrt(11) - 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.081599824 - 0.0816. What is d rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*y + 160*y + 2480 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393.56 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -34455*h - 13. Let d be k(7). Let o = 142084 + d. Let c = o + -3900886. What is c rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 165, 245, 325, 405, 485?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (65 - 70).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 3*y**3 + 1388*y + 609*y - 2183*y.\nAnswer: -y**3 - 186*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-2 + sqrt(396) - sqrt(396) - sqrt(396))*5 + sqrt(396))**2 + 4) - -4*(5*sqrt(99)*1*-4)**2.\nAnswer: -1440*sqrt(11) + 139080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680 is divided by 278?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -22679 + 22663 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 + 9*l. Let s be c(9). Let a(t) = -t**2 + 3*t + 5. Let w be a(s). Suppose 0 = w*f - 2*f - 207. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/7 + 6*l**2\/7 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*a + 48, 26*x = 24*x - a - 75. What are the prime factors of x\/3 - -4 - -184?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.425*21.\nAnswer: -8.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*w = 0, -4*h + 2*w - 5 + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47276808031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from uwwaubwubawf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38239 - 37702. Solve -541*q + f*q + 36 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/229890 and 49\/1422.\nAnswer: 689670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -3 - 2*y**3 - 2*y - 1\/4*y**4 + 0*y**2. Let z be j(-6). What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**15*o*o**(-2\/13)*(o*o\/o**(-1\/5))**(-6) assuming o is positive.\nAnswer: o**(172\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**15)\/v*v*(v\/(v*v*v**7))\/v*v)\/(((v*v**(-3))\/v)\/v*v)**8)**(-42) assuming v is positive.\nAnswer: v**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1666\/6 + -1)*4563\/338.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 1955\/4?\nAnswer: 1955\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50094043 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 + 24*b + 7. Let v(g) = -g**2 - 4*g - 2. Let q(k) = t(k) + 4*v(k). What is q(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 0 - 2\/2. Suppose 0 = -2*w - p*w + 4. What is the common denominator of ((-1)\/w - 1)*-1 and 47\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -305c9b - -2?\nAnswer: -305c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y**(-3)\/y))\/(y**(-1)*y*y)**(7\/4) assuming y is positive.\nAnswer: y**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 18*s - 225. Let l be s\/(-30)*4\/1. What is the highest common factor of l and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12.013. What is k rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 11. Let s = 24 + u. Calculate the least common multiple of s and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214199*a**2 + a - a - 214198*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.182, -3, 3, -1\/3 in descending order.\nAnswer: 3, 0.182, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 7*y**3 - 4*y + 8*y**2 + 0*y - 5 - 8*y**3. Does 10 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**0\/v))**43\/(v*v**(1\/2))**(13\/3) assuming v is positive.\nAnswer: v**(159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 - 1. Let v(l) be the first derivative of -l**3\/3 - 4*l**2 - 8*l + 17. Let t be v(-4). Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 4*g + 27. Suppose -3*q + 12 = 2*j + 48, -69 = 5*j + 4*q. Calculate r(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-1*-3 - sqrt(112))**2 + ((sqrt(7) + 2*(sqrt(112) - sqrt(7)))*6)**2.\nAnswer: 12796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 59.59 + 0.050575\nAnswer: 59.640575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 37.2. Let q = 0.32 - 0.12. Let x = q + r. Which is the third biggest value? (a) -4 (b) -2\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23629*o**3 - 23754*o**3 + 71121*o**3 - 23737*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00132297 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((4 - 4) + -1). Let y(j) = -7*j - 1. Let t(o) = -o. Let i(k) = d*y(k) - 4*t(k). Determine i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 1504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = 3*o - 9, 0 = b - 4*o + 12. Suppose -4*y - 1 = 3*l + 7, b = l. Let c(m) = -2*m + 1. Calculate c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/7547 and 35\/11.\nAnswer: 83017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 214619511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/9)\/(-4)*3. Let b = 2 + g. Suppose b*u - 190006 = -2*f + f, 2*f = -3*u + 380006. What is f rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.92 + -3. Which is the nearest to 0.1? (a) 5 (b) -5\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + d + 3. Let c(q) = -8*q**2 + 13*q + 39. Let k(t) = 9*t**2 - 15*t - 45. Let w(n) = 7*c(n) + 6*k(n). What is -4*j(z) + 5*w(z)?\nAnswer: 2*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.016\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15*o + 2*o = 2560. Let j be (250\/(-8))\/(1\/4). Let c = o + j. Solve c = 5*w - 0*s - 2*s, 4 = -s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 15 = -2*h - 3, 0 = 2*h + 5*b + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -15 - (3 - 11 - (-7 + 5)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(-8*m**3 + 7*m**3 + 14*m**3 + (-1 + 0 + 0)*(2*m**3 - 3 + 3)) as b*m**3 + p + x*m + u*m**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2725 - 5482 + 638*s**3 + 2757 + 115*s**3.\nAnswer: 753*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -783800 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10221+0.4\nAnswer: -10220.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/88 and -6 + (-3)\/6 + 2478\/384.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 11 = 26. Suppose o = 2 - 0. Let q be ((-3)\/9*(1 - 1))\/3. Put z, q, o in descending order.\nAnswer: o, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -75558 - 75281 + 2*i**2 + 153107 + 0*i**2 + 762*i = 0.\nAnswer: -378, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3047 times 14?\nAnswer: -42658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000267548214 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.3? (a) 0.13 (b) -2\/9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:40 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-208))\/(-1*1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s*u**2 - 41*s + u**2 - 18*u wrt s.\nAnswer: 3*u**2 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93293 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31a513 + -36a?\nAnswer: -31a87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 - 37*m + 75*m**2 + 37*m.\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 14) in base 15?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 6*i**2 - 2*i + 2. What is the remainder when h(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - a**2 + a + (0*a**2 + 8*a**2 + 3 - 4*a**2)*(2 + 0 - 1) as c*a + x*a**2 + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(-5\/2))*p)\/p)\/p)**(-43)\/((p**(2\/15)*p)\/p*p*p**(-1\/29)*p) assuming p is positive.\nAnswer: p**(129109\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/(994\/(-48)))\/((-5)\/(-35)*(-1)\/(-1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/33 + 2190\/55. Solve j*u + 20 = 36*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8*m - 15. Let x be y(11). Let g = -3 + x. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1 - sqrt(171)\/(sqrt(18)\/sqrt(2)))**2 + (sqrt(2736) + (sqrt(2736) - -5*(1 + sqrt(2736))) - sqrt(2736))**2.\nAnswer: 722*sqrt(19) + 98541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 5*z + 636 = 96*k - 131, 3*k = -2*z + 31 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -994250*d*i**3 + 790*i**3 + 19*i**2 + 4*i + 1 with respect to d.\nAnswer: -994250*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/41 (b) -2 (c) -270.5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:50 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4646 or 0?\nAnswer: -3\/4646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8171.13g?\nAnswer: 8171130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-11)*50\/75*-1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 1. Let l(o) = o**2 - 11*o + 12. Let d(i) = -6*f(i) + l(i). What are the prime factors of d(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 - (4 + 19 + -21 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((7 + -5)*47269)\/(5 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**3 + 29*n**2 + 380*n - n**3 + 7904*n + 567*n wrt n?\nAnswer: 12*n + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u**2 + 7*u**2 + 0*u**2)*((3*u**2 - 5*u**2 - u**2)*(-4 + 2*u + 4) + (4*u**3 - 4*u**3 - 3*u**3)*(-2 + 2 - 1)).\nAnswer: -102*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:41 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023234 rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f**2 - 8*f + 7. Let u(l) = l**2. Let v(j) = o(j) - 2*u(j). Let m be (8\/(-6))\/((-28)\/63). What is the tens digit of v(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-29 + 62 - 24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 + 941*l - 425. Let m be s(-105). Let o(a) = 4*a**2 - 4*a - 9. Let w = 1 + -9. Let d(y) = -6*y**2 + 6*y + 14. Determine m*d(c) + w*o(c).\nAnswer: -2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21524270?\nAnswer: 2, 5, 2152427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 141524225 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**17*i**(1\/18)*i)**(4\/11) assuming i is positive.\nAnswer: i**(650\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5346 and 5346.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/40 + (-24)\/(-10). Suppose -2*p + 5*a = -16, p + 69 = -a + 70. Solve -w*j + p = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 0, -1, -3, -18.\nAnswer: -18, -3, -2, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 8*v - 3*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 8 + 9)*((4*f - 2*f + 0*f)*(4 - 2 - 4) + 2*f - 2*f + 2*f).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/10)\/(5\/25). Suppose x = 4*p - u, -7*u + 6*u = 5*p - 6. What are the prime factors of (p\/3)\/(3*3\/756)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -7*i + 47. Let a(y) = -16*y - i*y - 12*y**2 + 19*y. Let w(m) = -7*m**2. Give w(a(t)).\nAnswer: -1008*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 6 = -o - 0*n, -3 = -5*o - n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = 8. Solve -19 + 3 = -a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let t = 3 - n. Is (-8)\/2*t\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**2 - 4*q + 0 + 1\/2*q**3. Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43854.\nAnswer: 2, 3, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (460\/(7 + 3))\/(-18 + 16).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:24 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 939424 and 178036.\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/1456)\/(1\/13)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16941.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6513418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 34 + 4 = 0, -5*d + 4*j = -49. Sort 1, -6, 2, -118, d in descending order.\nAnswer: d, 2, 1, -6, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100110200220 - -111?\nAnswer: 100110201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 - 7*r - 191. Give q(-9).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700087?\nAnswer: 700087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 95, -14079, 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 1 n when three letters picked without replacement from {u: 1, s: 1, n: 2, r: 2, k: 1, v: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x. Let s(k) = -k**2 + k. Let i(a) = 4*a**2 + 3*a. Let q(c) = -i(c) + 3*s(c). Calculate q(l(u)).\nAnswer: -175*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 237565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (211 - 111 - 47) + -70\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*((-3686)\/(-950))\/(-97).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w - 238. Is 4\/34 - (7 + 42826\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - p + 10 = -4*p, -2*g - p + 15 = 0. Solve g*j + 1 = -o + 10, -5*o + 15 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 0.3 (b) 10 (c) -17 (d) -91\/6 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 254? (a) -2\/15 (b) 0.1 (c) -2\/99 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 0, -3425.\nAnswer: -3425, -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v - 4. Let n be g(3). Let x be 18 + n*(-3)\/(-3). Solve -j - x = -4*c, -4*c + 6 = -2*j - 3*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -184*p - 164. What are the prime factors of t(-40)?\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107220*r + 139015*r - 223765*r to j*r + t and give j.\nAnswer: 22470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/3 (b) 2\/11 (c) 4\/3 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486829 and 281316.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -32990?\nAnswer: 32985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-8) - (-1898)\/(-156).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -n - 13, 3*n + 2*c + 110 = 106 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.375 - -0.625. Which is greater: -2.72 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 235 - 92*p**2 + 93*p**2 + 3939 as d*p + g + o*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 0.43. Let w = 0.33 - o. Which is the smallest value? (a) w (b) 2 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w**4 + 0*w + 0 + 1\/8*w**6 - 4\/15*w**5 + 0*w**3 + 14*w**2. Find the third derivative of o(u) wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + h + 3. Let k be z(3). Suppose -75 = 3*f - 3*t, f - 5*t = -2*t - k. Is f smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -9. Suppose -5*w - 44 = 4*g, -3*w + 4*g = -0*g + 20. Let b = w + x. Solve 5*t - 9 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.034 - 0.034. Which is the biggest value? (a) 5 (b) -3 (c) -1\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from yynnyyyyyyyyyyynyy.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22327027 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, 141, 421, 813?\n\"Answer: 56*f**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 155205?\nAnswer: 310410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 - 45*m**4 + 87*m**3 + 621*m**2 + 486*m.\nAnswer: 3*m*(m - 9)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.44 + -2.84. Which is the nearest to -2\/3? (a) t (b) -1 (c) 0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 8*v. Let m be a(-8). Let w = m - 0. Suppose -3*c + 0*c + 12 = 0. Solve 2*n = 5*j + 17, -n = -w*n + c*j + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 2084*t**2 - 2*t + 2718*t**2)*(-4*t + 2*t + 0*t) to v*t**2 + f*t**3 + j + l*t and give f.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -255115\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-266) + 10\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.7 + 15.71. Let o = -4.3 - -4.4. Let u = o - j. What is u rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 25, 33 in increasing order.\nAnswer: -8, 1, 25, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 minutes before 2:56 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.4 (c) -111 (d) 10\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -1\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12517233530 + -2147.5.\nAnswer: -12517235677.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xssi when four letters picked without replacement from {i: 5, s: 3, x: 10, e: 2}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2\/945*b**7 + 1\/135*b**6 - 1\/756*b**8 - 11*b**2 + 0*b**5 + 0 + 0*b**3 + 0*b + 0*b**4. Factor v(q).\nAnswer: -4*q**3*(q - 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38027475 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, 9499.271?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011101010001 + 101?\nAnswer: 10000011101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -5*y - 33. Let k = y + 13. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {b: 1, m: 1, g: 3, o: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131610856?\nAnswer: 2, 13, 107, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*q + 0 - 10*q**2 - 3*q**4 + 10*q**2 to j*q + v*q**4 + h + x*q**2 + w*q**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 3:14 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + 2*z + z)*(-3*z**2 + z**2 - 2*z**2) - z**3 - z**3 + 3*z**3)*(-2*z + 4*z + 0*z) - 8687*z + 1387*z**4 + 8687*z.\nAnswer: 1373*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 17 + -12 + 0 + -20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 + 53*r + 1. Suppose 3*k = k + 78. Calculate the remainder when k is divided by w(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4660140 (base 10) in base 5?\nAnswer: -2143111030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -2*z - 7*z. Let g = -36 + z. Suppose 0*r + 5*r + g = -4*l, -2*r - 2 = l. Solve 0 = 4*m - 2*m - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) + 2*sqrt(204))) + sqrt(204))) + sqrt(204))) + sqrt(204)))\/sqrt(12).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-five quarters of a gram?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11 - 1 = 0. Let d = 16 - z. Suppose 0 = -2*i + 6*i - 3*c - 5, -2*c = 4*i - 30. Solve 5*r = 4*f - d, 2*f - 1 = -r - i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/240 - 17*f**4\/96 - 14*f**2 - 63*f. Let r(a) be the first derivative of z(a). Factor r(b).\nAnswer: b*(b - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4115972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = 2*d, d - 5*f = -0*d + 4. Suppose 5*z + k - 764 = 0, 4*k - 5*k = d*z - 611. What is the greatest common divisor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397*s - 1314 - 399*s - 393*s + 1583*s - 392*s to r + m*s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -5. Suppose -2*t + 31 = 5*z, 5*z = 5*t - 5 + s. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 255 - 238. Let b = 1 + 4. Suppose o - 82 = -2*x + 5*o, -o - b = 0. What is the remainder when x is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 108 - 198 + m)*(-2*m**2 + 0*m + 0*m - 4*m**2 + 2*m**2 + 3*m**2 + (4 - 1 - 1)*(0*m + 0*m + 2*m**2)).\nAnswer: 3*m**3 + 63*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 + 446*q + 266.\nAnswer: 446*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2. Let m(l) = 359*l - 8. Calculate m(o(i)).\nAnswer: -2154*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.3216ug in grams?\nAnswer: 0.0001383216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u + 20. Let s be o(0). Let b = -6 + 346. What is the highest common divisor of b and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-126))\/(7\/189).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 30*p. Let w(y) = 5*y. Let b(h) = -4*u(h) + 25*w(h). Let x(o) = 9*o - 1. Suppose 199*z = -69 + 294 + 173. Calculate z*x(t) - 5*b(t).\nAnswer: -7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*i + 89*i - 35 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*l - 324, -5*m - 96 = -4*m + 5*l. Let o be (-2)\/(-7) - m\/28. Suppose 2*u**4 - u + 6*u**3 - 2*u**o - 3*u + 0 - 2 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 + -26. Let s = p - -221.603. What is s rounded to 2 dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 5*o + 1125 = 0, 0 = -2*n - 5*o + 436. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20904516, -41809030, -62713544, -83618058?\nAnswer: -104522572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102192965621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.8583?\nAnswer: -0.08583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/(-18)*(-30540)\/(-1018)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*f + 936 = -5*f, 0 = -f - 3. Let m(q) = 154*q - x*q - 2 + 5 + 154*q. What is m(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 10. Let q = -24 + 26. Let f(b) = -58*b + 56*b + 5 - q. Give f(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 44 - 4. Let a be (-40)\/r - (-2)\/(-6). Suppose 3*c - s = 14, 0 = -a*c + 7*c + 5*s - 6. Solve 3*t + 16 = 4*z, 16 = 4*t + c*z - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 425657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 420*o**2 - 22050*o = 0.\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250402.100017 + -250388.1. Let q = 14 - u. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20663\/6 at most as big as -3445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -538 - -560 - (-1 + 11)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(-22 - -20). Let z be 2*q\/15 + (-4)\/(-10). Suppose 2*a + 0*a - 22 = z. What is the greatest common divisor of 99 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - -b0?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 8*d + 6. What is h(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c37 + -2?\nAnswer: 2c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5)*(9 + (-10 - -6)). Suppose 41*i = v*i + 195. Suppose 3*b + 14 = z + 3, 5*b = 0. Sort -2, 2, i, z.\nAnswer: -2, 2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 2187*v**2 - 4383*v + 2193.\nAnswer: 3*(v - 1)**2*(v + 731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:15 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, p: 3}. What is prob of picking 1 p and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 4*f**2 - 2. What is h(-2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -10969\/72?\nAnswer: -10969\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -11 - (-18 + 9 + -2). Let i = -18 + 26. Let f be 4\/i*-2 - d. Is -1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 13. Let m = -12 - g. Suppose m*u = -0*u + 9. Solve -u*o - 1 = -10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 37. Let t be g(0). Suppose -q + 2*q = t. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 4. Let v = -7 + 5. What is the units digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2154*u + 3952. Determine h(3).\nAnswer: -2510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23064 - 37*u**2 - 11544 - 15*u**2 - 7*u**2 - 11521 + 10*u**2.\nAnswer: -49*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/3, 2676, -4, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**5*m + 1056*f**3*m - 220*f*m wrt f?\nAnswer: -40*f**3*m + 6336*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14 = 3*z - 9*c, -3*c - 11 = -2*z. Solve 3*n = -z + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10 = -n, 224251*n + 30 = 2*m + 224248*n for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263726 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbbm. What is prob of sequence bb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18334 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524050405 (base 6) to base 9.\nAnswer: 18187075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4\/4 + 1045*m**3\/4 - 20245*m**2\/2 + 51600*m = 0. Calculate m.\nAnswer: 0, 6, 43, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879995 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*g**5 + 96*g**4 - 6*g**3 - 85254*g**2 - 2*g - 1.\nAnswer: 16680*g**2 + 2304*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 542723999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/17)*k\/((k\/(k\/(k\/k**16))*k*k)\/k) assuming k is positive.\nAnswer: k**(253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 2*d - 8. Let m(q) be the third derivative of -q**4\/24 - 2*q**3\/3 + 5*q**2. Let f(o) be the first derivative of m(o). What is 6*f(k) - v(k)?\nAnswer: k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 + -73. Let w = 59 - f. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -27\/265121?\nAnswer: -27\/265121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5684492, 5684493, 5684520, 5684585, 5684700?\n\"Answer: 2*m**3 + m**2 - 16*m + 5684505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/(-4) - (-45)\/(-90)) + 12. Solve -l*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 7*d**3\/2 + 4*d**2 - 3*d. Let j be 1\/3*105\/5. Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from yymyrmmmmmmmmmymmmym.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*u - 22*u + 1528. Let z(p) = 8*p - 7. Let t be z(-13). Let k = t - u. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/6875012 and -101\/48.\nAnswer: 82500144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082497 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/7 - 5046*r**4\/7 + 3200350*r**3\/7 - 22150850*r**2\/7 - 3200352*r\/7 + 3165128 = 0 for r.\nAnswer: -1, 1, 7, 1258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -89. Let s(r) be the second derivative of 0 + 1\/4*r**4 + 1\/3*r**z - 3*r + 0*r**2. What is the second derivative of s(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 2. Let g(n) = -3*n**3 - 7*n**2 + 7. Let w(a) = a**3 - a**2 - 3*a + 21. Let y be w(0). Calculate y*o(k) - 6*g(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101020002 (base 3) in base 12?\nAnswer: 3259b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 2\/15 (c) 39 (d) -0.1548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36848?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 - 7 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -1*74 - (12 - 9). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180*m - m**2 + 44*m + 761 - 58*m - 38*m wrt m.\nAnswer: -2*m + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-128))\/(0 + -1). Let y = g - -13\/48. Suppose 10 = -4*h + 3*d - 5, -20 = -4*d. Which is the closest to y? (a) 0.3 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136156500 rounded to the nearest 100000?\nAnswer: -136200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1483762?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 17*u**5\/60 - 7*u**4\/6 + 5*u**3\/3 - 2*u**2 + 41. What are the prime factors of t(5)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 8*n**2 - 9*n - 1. What is u(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**31\/((x**(-1\/10)*x*x)\/((((x\/x**(-21))\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**(2031\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o + 16. Let k be ((-8)\/10)\/(o\/20). Let c = k - -11. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/17 and 47\/1528238.\nAnswer: 25980046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 19. Let m(i) be the first derivative of -i**2\/2 - 103. What is t(m(k))?\nAnswer: 3*k - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459 by 153.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001085612 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/11 - 109364*d**2\/11 - 3825290*d\/11 = 0. What is d?\nAnswer: -54647, -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59826 divided by -4602?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*-1*20\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1453, 1460, 1477, 1510, 1565?\n\"Answer: d**3 - d**2 + 3*d + 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 78 - 162 = 0. Let s be ((-46)\/10 - -4)\/(2\/(-10)). Suppose -s*i - 2*y = -293, 0*y - 194 = -2*i - y. What is the remainder when i is divided by d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 79\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 22*y**2 - y + 8. Let l = -40 + 37. Let i be (-4 - (l + -2)) + -12. What is the units digit of z(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y - 3*y. Suppose -3*l + y*x = -3*x + 19, 3*l = 4*x - 14. Suppose -4*d - 10 = 5*z, -d - 4*z - 6 - l = 0. Is 2 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 15 = 0, -180*x + 176*x = 10*y + 74 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5 = 3*f - 12, i - 16 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h. Let s(i) = -8*i - 1008. Calculate s(t(d)).\nAnswer: 144*d - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 3. Let r be i(-27). Let c = 113 + r. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 5. Let r be v(-7). Suppose r*h - 3*y - 138 = 0, -4*h - 3*y + 84 = -192. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55218571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(2 - 4 + 4)*(289 - 551*c - 289) to a + j*c and give j.\nAnswer: 2204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 + 15 = 8*i. Let y be (-11)\/(-110)*7\/((-42)\/i). Which is the nearest to 1? (a) y (b) -21 (c) -5\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((-21 - -3) + 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/4, -64, -2, -5?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 + 16*j**2\/11 - 40*j\/11 + 32\/11.\nAnswer: -2*(j - 4)*(j - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*w + 315*w + 51 = -5*r, 4*r - 2*w = 56 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 18 + 16 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - f = -8, -p - 8*f - 16 = -3*f. Let n = -12 + 19. What is the remainder when n is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 21285.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000643 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, h: 1, x: 1}. What is prob of sequence xyhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -c - 9, 2*c + 80 - 70 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {u: 4, a: 4, g: 8, d: 3}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*c = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 25721?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.651668 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -4*g**2 - 51*g - 36. Let a be b(-7). Solve 1 = 5*c + 2*q - 4, 5*q + 10 = -a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (-1 + 3 + sqrt(1300)))**2 + -4 + -3 + ((5 + -6*(1*sqrt(1300) + sqrt(1300)))*5)**2.\nAnswer: -30000*sqrt(13) + 4680622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*x - 77 = -12 - 20, 5*x - 10 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 minutes after 8:10 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:08 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3423234 by -1.\nAnswer: -3423234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143178 divided by -47726?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l**3 - 9*l**2 - 6*l + 6. Let z(s) = 20*s**3 - 9*s**2 - 7*s + 7. Let k(f) = -7*b(f) + 6*z(f). Find the third derivative of k(y) wrt y.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 - -286. Which is the second smallest value? (a) v (b) 1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -996, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.133334 and -0.4?\nAnswer: 7.733334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 1446901.\nAnswer: 57876.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-4)*2\/4. Suppose -4*k + c*k = 0. Put k, 3, 1 in decreasing order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13.0021. What is r rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 597*a**2. Let m(i) = -6*i**2 + 5932*i. Give m(z(n)).\nAnswer: -2138454*n**4 + 3541404*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -25*x**2 + 218*x + 63. Calculate f(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10349564 divided by -2804?\nAnswer: 3691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 1. Let u(b) = b + 12. Let k = -11 - -5. Let c be u(k). What is the tens digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 54 = -2*f, f - 2*f - 2*a = -21. Let d = f - 19. Suppose d*g - 208 = 2*g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -21 + 10 + (4 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 - 34\/(-9). Suppose -y*z + 0*z = -20. What is the least common multiple of 6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/27 - 2) + 16\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 1. Suppose f*k - 64 = -0*k. What is the lowest common multiple of 18 and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, u: 2, l: 1, a: 1, m: 2}. What is prob of picking 1 m, 1 u, and 1 x?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/8*(20\/6)\/(4\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 3*f**2 + f - 4. Let i(s) = -s**3 - s**2 - s + 1. Let v(l) = 7*l**3 + 5*l**2 - 4*l + 11. Let w(y) = -2*i(y) + v(y). Give 6*w(j) + 14*x(j).\nAnswer: -2*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*f - 203*f - 47 + 102*f to the form c*f + t and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17804277 divided by -17804277\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-110))\/((-33)\/55)*33\/6\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 2*i + 5. Let x(r) = 3 - 2*r**2 + 3 + 9*r**2 + 2*r. Let d be 9 + -12 - 1\/(-1) - (-8)\/(-4). Determine d*m(p) + 3*x(p).\nAnswer: -3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from yyky?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138173, -277159, -416145, -555131, -694117, -833103?\nAnswer: -972089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.467 plus -102?\nAnswer: -102.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 105*x - 1634. Let j be z(86). Let y = -0.19 + 0.2. Sort 0.3, y, j in descending order.\nAnswer: 0.3, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28187 + 28164 - n - 56310.\nAnswer: -n + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -144*m - 1. Is n(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35682.525 seconds in hours?\nAnswer: 9.9118125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167439*z - 20 + 176249*z + 20 + (2*z + 2*z - 3*z)*(-1 + 1 + 1) to b + i*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 165 (b) -5\/3 (c) 2\/41 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Suppose -16 = -0*r - y*r. Suppose r = -x + 2*x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2 + 95*b - 1050. Give n(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 473*t**7\/35 + 1289*t**4\/24 + 6*t**2 + t + 628. What is the second derivative of f(i) wrt i?\nAnswer: 34056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 56. Which is the closest to y? (a) 1 (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 greater than 3031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15349004 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k + w + 34, -k = 2*w. Let o be (-22)\/132 - 91\/k. Solve -p + o = 3*b, -4*b + 3*p = p - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 719278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, c: 15}. Give prob of sequence accc.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44\/88*32\/28\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 39*w + 2. Let n be j(1). Suppose 2*k + 17 = -n. Let b = 240 + k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-168) + (-42)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13129 + -13129. Solve v = -41*l + 16*l + 50 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - -2a?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*x + 0*x - 803 = 0, -3*r = -4*x - 2329. Let o = r + -778. Solve o*a - 70 = -9*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62486021 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16 - 780\/(-50))*(3 - (-4 - -2)). Let w(x) = 3*x + 1. Let l(k) = 9*k + 2. Let n(r) = -3*l(r) + 8*w(r). Give n(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 277\/3 (b) -0.14 (c) -2\/5 (d) -1193 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3388, 6593, 9798, 13003, 16208?\nAnswer: 19413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h + 87. Let u(k) = 20*k + 261. Let b(g) = 3*u(g) - 8*x(g). Let r be b(-7). Suppose 2*t - 3*o = 5427, 2*t + r*o = 3*t - 2706. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 3*i**2 + i - 3. Suppose 4*h - 4*n = 0, 4*n + 6 = 3*h + 3*n. Calculate d(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31858, -31895, -31966, -32077, -32234, -32443?\n\"Answer: -h**3 - 11*h**2 + 3*h - 31849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(sqrt(208) + sqrt(208) + -1) - (sqrt(208) - (-1 + sqrt(208)*-1)))**2.\nAnswer: -79896 + 768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000783506 rounded to 6 dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -91*k - 360. Let s be h(-4). Solve s*r + 3*b + 4 = -4, -3*r = -b - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqb when three letters picked without replacement from {j: 2, b: 4, p: 9, q: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17723 and 36963.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 112.8. Which is the third smallest value? (a) 0.4 (b) l (c) -3\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7822631*a**5 + 12925919*a wrt a.\nAnswer: -156452620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18\/493 - -2868\/2465. Let q = 1 - 6. Sort -13, s, q in increasing order.\nAnswer: -13, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 10 = 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1931 + 1931. Let p = 4 - -1. Solve g = p*o + 3 + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 11. Let y = f + 9. Solve -6 = y*z - z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/16)\/(-21))\/((-1)\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y - 4. Let a be l(-1). Suppose -s = 4*s + a. Put 3, s, 5 in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjhh when four letters picked without replacement from jphjqpht.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (13 - 2 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73.366919727 and -3.\nAnswer: 70.366919727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(3\/13)*l)))\/l**(-14))**(4\/13)*((l\/(l**4\/l))**(-2))**(2\/31) assuming l is positive.\nAnswer: l**(25904\/5239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -411.33 rounded to the nearest integer?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -36, -21, 10, 63, 144, 259, 414?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 3*i**3 + 0*i**3)*(-70 - 192 - 15)*(0 - 1 + 2).\nAnswer: 554*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 307 - 169. Suppose 158 = d + u. Calculate the remainder when 52 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 63.7391 centimeters?\nAnswer: 0.000637391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546, -550, -556, -564?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (1 - 7) - -2. Is 209 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 13. Let q(j) = j + 6. Let r(y) = -6*m(y) - 13*q(y). Let v be r(-3). Solve v*t - 6*t = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:58 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2172 (b) 4 (c) -93 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 2*b - b)*(2 - 5 + 2) - b - 2*b + 0*b + 3*b - 5*b + 4*b - 6461*b + 630*b + 976*b to the form i + y*b and give y.\nAnswer: -4854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1669726*c**3*t**2 - 283*c**3 + 2*c**2*t - 2*c*t**2 - 128*t wrt t?\nAnswer: 3339452*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430 and 92974987.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(2) - sqrt(18)) + -5 + sqrt(7)*2.\nAnswer: -5 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6605 + -678?\nAnswer: 5a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26*(-1)\/(-2)*-1. Let p(o) = 2*o + 28. What is p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 218, 306496, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8 = -2*f, 30*a = 32*a + f - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-82*o**3 + 7*o**3 + 164*o**3)*(-2*o + 5*o - 13*o).\nAnswer: -1780*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 16\/4 - (-5)\/10*-10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, x: 5, b: 8}. Give prob of sequence pb.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 1.9 (c) 43.2 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -45550.2758.\nAnswer: -45554.2758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6. Let o(i) = 3*i**3 - 3*i**2 + i + 1. Let s be o(1). Let d(q) = q**2 - 5. What is s*u(w) + 3*d(w)?\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:54 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.4 + -34.7. Which is the nearest to 3? (a) 0.3 (b) s (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46539 and -2.\nAnswer: 0.93078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(((-2783)\/(-22))\/23). Let d(p) = -49*p + 1. Calculate d(v).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 525*r + 29 - 67.\nAnswer: 525*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26352326 divided by -26\nAnswer: -1013551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = 2*w, -419*o = -424*o - 2*w - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -0.335, -126381.\nAnswer: -126381, -0.335, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {u: 2, s: 2, y: 1, v: 1, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55644 divided by -4?\nAnswer: -13911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3505 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943041829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 331397*w + 20. Give m(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 3200*w + 694033. What is j(234)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, 1, -1167.8, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25006092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.53 - -0.48. Round r to 1 dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647.\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 6*a + 8*a)*(-1 + 2 - 3).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-426)\/(-9)*-31*180\/(-3720)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.48.\nAnswer: 13.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -888, 101, 1\/7, -1, -2.\nAnswer: -888, -2, -1, 1\/7, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/483 + -317\/2415. Which is the biggest value? (a) u (b) 0.2 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 8 = 18*i. Suppose -6*k + 416 = -2*k - i*o, -4*k + 444 = 3*o. Calculate the highest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 + x + 1. Let v(z) = -6*z - 10. Suppose q - 8 = 2*q. Calculate q*f(p) - v(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 53. Let s be t(-4). Solve -17*x - 2*x = s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.212+1.56\nAnswer: 1.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1687 + -1683. Let y(c) = c - 1 + 0*c + 2. Let d(k) = -4*k**2 + 20. Let m(o) = w*y(o) + d(o). Solve m(b) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245*0.7.\nAnswer: 171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-2)\/sqrt(8) + sqrt(19) + 3 - (-1*sqrt(931)*3)**2.\nAnswer: -8376 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/88 and 25\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 6*o - 5 - 5*o + 0*o. Let f be j(-10). Suppose -u = -2*h - 150 + 40, f*h - 25 = 0. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 359835 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 20 - -1 - -18) + 7 + -2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:13 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/5)\/((-4)\/16). Suppose -4*j - 224 = a*t, t + j = -2*j - 54. What is the smallest common multiple of 1\/(4 - t\/(-15)) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*g - 243*g - 168*g - 220*g - 238*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 150780.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1776 or 186353\/105?\nAnswer: 1776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174\/215 - 128867\/430. Let c = -935\/3 - q. Calculate the common denominator of c and -121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:06 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)*(-5)\/80. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1296818 and 1296818 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 = 21. Suppose 0 = -l + 3*l - 5*j - 21, -j - 9 = -2*l. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5035.\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 705383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 840671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 + 2. Let g(z) = 2553*z**3 - 2558*z**3 - 9 - 2 + 29*z**2. Determine 2*g(w) + 11*o(w).\nAnswer: w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckteksckktse. Give prob of picking 1 e, 1 c, and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27060\/420*(3 + 0\/1). Let u = -192 + o. Factor -4\/7*x**4 + 0*x + 0 + u*x**3 - 2\/7*x**2.\nAnswer: -x**2*(x - 2)*(4*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 24*a**2 + 24*a + 23. Let w be y(-23). Solve w = 4*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3683*l**3 - 7*l**2 - 5*l + 2. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 301, -4, -5, 3\/5 in descending order.\nAnswer: 301, 3\/5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104118?\nAnswer: 2, 3, 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/100 and -58\/98515.\nAnswer: 1970300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 63*x**4 + x**3 - 282*x**2 + 2*x + 2. Let d(m) = -64*m**4 + 284*m**2 - 3*m - 3. Let z(n) = -2*d(n) - 3*v(n). Find the third derivative of z(w) wrt w.\nAnswer: -1464*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271\/2 + 45\/10 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*a**4\/7 - 31958*a**3\/7 + 14207974*a**2\/7 - 20470186*a\/7 + 6294152\/7 = 0. Calculate a.\nAnswer: 4\/9, 1, 887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (242\/(-2) + 1)\/(-13)*35555\/5470.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = 0, m + 2*d + 0*d = 178. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 3204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (3 - 0)\/(6\/(-4)). Suppose 4 = n - 1. Suppose 5*q - 2*b + 28 = 0, -40 = n*q + 2*b - 7*b. Sort q, 2, j.\nAnswer: q, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*h*p**2 + 610*h - 5*p**2 - 6*p + 7 wrt p.\nAnswer: -178*h*p - 10*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15129284?\nAnswer: 2, 97, 38993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(14))\/sqrt(2))**2 + sqrt(1008) + 4 + 1 + sqrt(1008) - ((-1*(sqrt(63) + sqrt(252)))**2 + (-3 + sqrt(63)\/(sqrt(36)\/sqrt(4)))**2).\nAnswer: -575 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17149 - -17156. Let w = 0.2 - 0.1. Which is the closest to w? (a) s (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -3 - (-464)\/(-96)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 8 - 3*a + a. Let m(o) = -29*o - 50. Let r be m(-2). Calculate v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*o - 131 - 34, -2*h + 5*o + 95 = 0. Suppose -f = -h + 1. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76511 is divided by 191.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425291 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, -1, 1, -26, 2 in descending order.\nAnswer: 3, 2, 1, -1, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.4 at most -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22662 + 22674. Sort -1, 5, -9, -2, t in decreasing order.\nAnswer: t, 5, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*l**2 + 32*l**2 - 22*l**2)*(2*l**2 + l**3 - 2*l**2 + (2*l + 1 - 1)*(1 - 2*l**2 - 1) + 4 - l**3 - 4) + (-2*l**4 + 3*l**4 - 3*l**4)*(l - 2*l + 0*l).\nAnswer: -542*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10450, -20886, -31316, -41740, -52158?\n\"Answer: 3*m**2 - 10445*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2042, -1, -5?\nAnswer: 0.2042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - y + 10, 178*y + 19 = s + 181*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2049\/35941 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -145. Let l(d) be the first derivative of 15*d**2\/2 - 8*d - 2. Let b be l(p). Let x(o) = -o**3 + 8*o**2 - 7*o + 10. Determine x(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164\/10 + (-24)\/60 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1375, -1482, -1589, -1696, -1803, -1910?\n\"Answer: -107*p - 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.308096l to millilitres.\nAnswer: 6308.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19)\/(-5) + (-6)\/(-30). Let r be (-36)\/(-9)*2\/s. Suppose 3*c = r*p - 22, 5*c + 0*c = -4*p. Solve 3*l = p*f + 24, 0 = -5*f - 4*l - 0*l - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/((c**16*c)\/c)))*c**16)\/(((c\/(c\/(c*c*c*c*(c\/((c\/c**(-2\/5))\/c))\/c*c*c*c)*c))\/c)\/c**(-2\/17)))**(-34) assuming c is positive.\nAnswer: c**(632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -16*y + 23. Let f(l) be the first derivative of y - 7\/10*l**2 + 2\/5*l - 4\/15*l**3. Factor f(a).\nAnswer: -(a + 2)*(4*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqsshshshssssqsmf. Give prob of picking 1 f and 2 h.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 6*m**2 + 2*m + 1. Let h be a(-5). Let x = 20 - h. What is the first derivative of x*w**3 + 1 - 2 - 4 + 0 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 27 = -2*l + u, 46 = 4*l + 5*u. Which is the third biggest value? (a) l (b) -4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:54 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:42 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 20\/12)\/((-4)\/(-6)). Suppose -c*r + 10 = -5*q, 2*q - 2*r - 1 = r. Suppose -5*x + 10 = 45. Is q at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17950852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p**3 - p**2 - 11*p - 13. Let f be n(-6). Let b = f - 1675. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 - 2*l**2)*(4*l**2 - l**2 - 4*l**2) + 0*l**4 - l**4 + 3*l**4 - 11*l**2 + 11*l**2 - 3*l**4.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2896 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276\/13*n + 2\/13*n**2 - 3278\/13 = 0. Calculate n.\nAnswer: -11, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w + 9. Let y(r) = r**3 - 4*r**2 + 2*r - 4. Let s be y(4). Let c be z(s). Solve -c = -4*f - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12932.\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-2 + -2 - -25 - (31 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -148 - 2\/9*x**3 - 38\/3*x**2 - 722\/3*x. Suppose o(h) = 0. What is h?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-5)\/(-4)*(-96)\/(-912)*-19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534772072?\nAnswer: 2, 31, 2156339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16982.61919 - 16965.52. Let b = -17.1 + g. Round b to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2) - 3)*-2. Suppose 0 = -6*p + k*p. Factor 0 + p*c + 1\/4*c**4 + 0*c**2 - 1\/4*c**3.\nAnswer: c**3*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1435 (b) -0.2 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 19*j - 9. Determine k(-14).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -28*r + 125. Let j be u(-14). What is the greatest common factor of 47 and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let u(q) = -q**2 - q + 4. Let z be u(0). Let o be m(z). Let j = 14 + o. Solve 0 = 5*a + 3*s + j + 3, -3*s = -3*a + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 30.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 189336 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -4. Let v be (-63)\/b - (-12)\/(-16). Let g(o) = -o**2 - 5*o + 7. Give g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*35942.\nAnswer: 71884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -2 + 0 - (2 + 1*sqrt(1216))) + 3)**2 + 4 + ((1 + sqrt(1216) + -4 - sqrt(1216))*-1)**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/3))**(3\/8)*o*o**1*o*o**(-2\/29) assuming o is positive.\nAnswer: o**(369\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lga when three letters picked without replacement from {a: 1, o: 7, l: 2, d: 1, g: 3, i: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 103. Let q be n(0). Let z = q + -102. Factor -t - z - 1\/4*t**2.\nAnswer: -(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 2, -7 in decreasing order.\nAnswer: 3, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 + 5 - 316*g.\nAnswer: -316*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 44371*q. Let g(k) = -k. Calculate g(p(z)).\nAnswer: -44371*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/22)\/(37*(-156)\/2886)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-14)\/28)\/((-1)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -2.64, -0.2, -2466 in ascending order.\nAnswer: -2466, -115, -2.64, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 31*f**2 + 12*f - 23. Let z be p(-15). What is the tens digit of (-2)\/22 - (-970)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15665 < 15665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 33*d**2 - 270*d - 53. Let f be i(17). Which is greater: -25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*t = 2 + 4, -g - 4*t + 16 = 0. Suppose -3*z - 2*s = -19, g*z = 7*s - 2*s + 10. Suppose 1036 = y + 1031. Solve -y + 25 = -z*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1489 + -1442.78. Let y = v - 47. Let m = y + -0.05. Round m to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2 - -1)*-76. Let q = 182 + -309. Let g = j - q. What is the highest common factor of g and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 56*h - 1. Let l(x) = 56*x - 1. Let q(p) = -6*c(p) + 5*l(p). Let r be q(-3). Let m = r + -78. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-138)\/24 + 30\/8. Suppose -p = -3*q - 489. Let b be (-46)\/(-10) - (5 + q\/30). What is the greatest common divisor of 15 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3420 = 4*w - 23*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 31*m**5\/4 + m**4\/6 - m**3\/6 + 5*m - 14. Let z(l) be the first derivative of q(l). Does 12 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5730)\/(-7640))\/(1\/(-116))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 12, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4)*q**(-3))\/(((q\/(q**(-7)\/q))\/q)\/q**0))**(-4))**(-28) assuming q is positive.\nAnswer: q**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 + t + 4. Let s be d(0). What is the tens digit of s\/18 - (-5600)\/72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veva when four letters picked without replacement from xevvvvvxvvaoveevv?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(24)\/(sqrt(22)\/sqrt(891)))\/(sqrt(448)\/sqrt(7) + sqrt(4) + -3*(sqrt(100) - sqrt(4))).\nAnswer: 18*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26402*f - 225 = -26411*f. Calculate the remainder when 66 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 + 20*s**2 + 12*s - 28. Let n(i) = -i**4 - 4*i**3 + 21*i**2 + 13*i - 29. Let j(x) = 4*n(x) - 3*p(x). Find c such that j(c) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -14\/141, -0.3, 3\/5, 24, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3011*z**2 - 2*z - 7. Let o(x) = -6*x - 1. Let p be o(7). Let b = 40 + p. Let m be w(b). Round m to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**3 + 5*y**2 + y - 1. Let z be r(-2). Let q = -8 + z. Let l = 72 + q. What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24248)\/14722)\/(1\/(-17)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1 = -g + 3, 0 = -2*g - 4*j + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15. Find the third derivative of -6*z**3 - 2*z**q + 5 - 5 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v - v)*(3*v + 3 - v - 2)*(1 + 0 + 0).\nAnswer: -4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-345) + 336154\/161 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -h + 9*v - 47, 98*v = 4*h + 96*v - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 45137*r**2 + 45139*r**2 + r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (47\/((-1692)\/(-88152)))\/(2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -9, -23 in increasing order.\nAnswer: -23, -9, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -97*u - 15. Let l(x) = 4*x + 15. Let z be l(-7). Let s(b) = 48*b + 7. Let c(j) = z*s(j) - 6*y(j). Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/8*(-4)\/3. Suppose -j*t = -7*t + 4. What is the second derivative of 4*i**t + i + 7 - 7 wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = 0. Let v = -2 + 8. Let l = -3 + v. Solve o = -5*n + 2*a - 3 + 23, l*n + 3*a = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 14*i**2 + 10*i + 55. What is the units digit of o(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 = -r, -6*v + 2*v = 2*r - 4. Let m = v - 0. Let w(i) = -i**2 + 11*i + 11. Let d be w(12). Is d at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a9183 - 697?\nAnswer: -a986a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690.2 rounded to the nearest 10?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3 = 4. Let u be m\/(-2) - ((-17)\/(-2) + -1). Let s(l) = 5*l**2 + 13*l - 3. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -163, -319, -471, -619, -763, -903, -1039?\n\"Answer: 2*u**2 - 162*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 61*z**2 + 1609*z - 883. Calculate y(-81).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602 divided by -14.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -676 - -675.9. Let s = -65.072 + 65. Which is the smallest value? (a) 5 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3020 - 242*h + 243*h + 8630.\nAnswer: h + 5610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29838 is divided by 12124.\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05594 + -0.94406. Which is the fourth biggest value? (a) 0.3 (b) 0.08 (c) g (d) -0.4 (e) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) 0.1 (b) -4\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 - 4*j**2 - 2*j - 2. Let t(o) = -11*o**3 - 9*o**2 - 3*o - 4. Determine -9*n(q) + 4*t(q).\nAnswer: q**3 + 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = 2*i - 14, -5*y + 2 = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b27 (base 13) to base 14.\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -7, -14\/9, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -34913961953.\nAnswer: -34913961951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5269474*s**3 + 357839*s - 5?\nAnswer: -31616844*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)*z)\/((z\/z**3)\/z))**(-43\/5)\/((z**(-3))**(34\/3))**(3\/4) assuming z is positive.\nAnswer: z**(-353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.192 + 17.988\nAnswer: 17.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25498558 - 42698558. Round m to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 812840164*a**4 - 332313*a + 1414.\nAnswer: 9754081968*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -33*s**5\/5 - 10*s - 11. What is the derivative of p(j) wrt j?\nAnswer: -132*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -77*d - 13. What is the hundreds digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*n**2 + 1729*n - 167338 wrt n?\nAnswer: -32*n + 1729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 147, 477, 1197, 2493, 4551, 7557, 11697, 17157?\n\"Answer: 31*u**3 + 9*u**2 + 86*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76538 + -535768\/7. Let y = 6 - 4. What is the second biggest value in o, -0.4, 1\/6, y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.8025 - 0.0025. Let g = -66 - -10. Let z = g + i. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2\/105, 5, 69 in decreasing order.\nAnswer: 69, 5, 2\/105, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 64 = -288. Let p = o - 26. Let z = 0 - 1. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -822b (base 16) to base 3.\nAnswer: -1200201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(50)) - (-1 + sqrt(98) + -4))*2)**2.\nAnswer: 72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a91 (base 14) to base 10.\nAnswer: 166727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34092, 68219, 102344, 136467, 170588, 204707?\n\"Answer: -k**2 + 34130*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2048*l - 941*l - 705*l - 788*l.\nAnswer: -386*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 3*g + 6*g. Suppose 5*l + g = -2*b, -3*b - l + 5*l = 41. Is -3*(4\/36 + 1)*b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m + 3. Suppose 11*t = 6*t. Let k be s(t). Suppose -5*p + 4*n = -180, 3*p + 7*n - k*n = 108. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 2, 3, 0 in increasing order.\nAnswer: 0, 2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/640 and -1\/8.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 289680004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*p - 0*q - 4*q, -4*p + 8 = 5*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*x**5 - 2609375*c*x**4 + 2*c*x**2 + 1314*c*x - 2*x**3 - x**2 - 75*x wrt x?\nAnswer: 120*c*x**2 - 62625000*c*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -15*u**3 + 306*u**2 - 405*u + 114.\nAnswer: -3*(u - 19)*(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2 + 18*t**2 - 9*t + 5*t + 11*t**2 + 7*t. Let p be d(-1). Let o be ((-8)\/p)\/(4\/(-28)). Solve -5 = -o*r + r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:18 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/60 + 7*b**4\/24 + 2*b**3\/3 - b**2. What is the remainder when 86\/4 + 2\/4 is divided by q(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*m**2 - 2*l*m + l - m**3 - 75*m + 7633 with respect to m.\nAnswer: 2*l*m - 2*l - 3*m**2 - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-3)\/((-90)\/50))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5, 0.1, -42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*x = -3*g - 21, 0 = 3*x + 15. Let k = 12 - g. Suppose 2*j + j + k = 0, -5*j = 5*f - 545. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4149763\/275 - 15090. What is the common denominator of 7\/400 and z?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(-1 + (sqrt(396) + 2*sqrt(396) - sqrt(396)))**2 + -5 + (sqrt(176) + -1)**2 + sqrt(176) + 3)*-3.\nAnswer: -145275 + 2220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/36)\/11)\/(104\/16)*-4.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1315 + 5*z + 516 - 2*z - z + z + (-2 + 4 - 1)*(-2*z + 2*z + z) to i*z + l and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 1. Suppose 0*y = -y. Sort y, a, 3 in ascending order.\nAnswer: a, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 3\/5 (c) -2\/15 (d) 1 (e) -20 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**4 + 55*n**3 + 175*n**2 + 125*n = 0. Calculate n.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 210204.\nAnswer: 210209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2738, 16348, 53296, 125252, 243886, 420868, 667868, 996556?\n\"Answer: 1945*u**3 - u**2 - 2*u + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29\/273 - 7\/39. What is the third smallest value in 3, r, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/126 and 83\/3150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195729977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/2 - 11*u**4\/2 - u**3\/2 + 11*u**2\/2 = 0 for u.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -44*v**3 - v**2 - v + 1. Let p be h(2). Let m = 688 + p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3\/7)*m*m**7)\/(m**(-15)\/m**(-2\/7)))**(-32) assuming m is positive.\nAnswer: m**(-5216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1142.\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186624*f**4 - 15552*f**3 + 129168*f**2 + 64220*f + 8788.\nAnswer: -4*(f - 1)*(36*f + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -4\/7, 1, -17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 6 + 27 + 3*a - 19 + 33*a**3 to the form z*a**3 + i*a**2 + k*a + f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -16*h + 1. Let m be a(-3). Suppose -180 = -3*y - 2*y + 4*r, 3*r - m = -2*y. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276594, 1106342, 2489254, 4425330, 6914570, 9956974?\nAnswer: 13552542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:32 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.042, 0.13, 0.2, -80.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.318 + -0.028. Let t = g + -0.09. What is the second biggest value in t, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhlhjlllflllllllflfl. Give prob of sequence fllh.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/(0 - -1). Let i = -2 - 2. Let j be (q\/(-2))\/(i\/8). Solve 5*d - j = 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, q: 3, u: 1}. Give prob of picking 1 y and 1 q.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -6*z - 78. Let y = z + -3. Solve y*r = 5*m - 17 + 47, 5*r = -m + 23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390069480.\nAnswer: 2, 5, 59751737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 2*s)*(s + 2 - 2)*(281 + 75 + 110).\nAnswer: -466*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*k + 5137 = 461 - 3282 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -3 (c) 1232 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 + d + 186*d**2 - 175*d**2 as a + o*d**2 + h*d and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + z - 6. Let r(q) = -14*q - 3*q**2 - 13*q - 3 - 13*q + 41*q + q**2. Give 3*l(k) - 5*r(k).\nAnswer: -2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and -30733263.\nAnswer: 8297981.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -2*t**3\/3 - t**2 + t. Let v be (10\/3)\/((-8)\/12). Is 7 a factor of m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxy when three letters picked without replacement from lmllymyxlw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, p: 5, h: 1, g: 4}. Give prob of picking 3 p.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 13. Let f be (-3)\/2*(-88)\/12. Let g be s(f). Which is the third biggest value? (a) 1 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/18)\/((-14)\/(-4)). Put 1\/2, u, -7 in descending order.\nAnswer: 1\/2, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + -18) - ((-6 - -20) + 0 + -20)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y**2 - 44 + 44)*(5*y + 3*y - 3*y) as v*y + m + t*y**3 + x*y**2 and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30895 + 30900. Determine m, given that 0*m**2 - 7\/2*m**q + 0 + 9\/2*m**4 - m**3 + 0*m = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3312)\/1449)\/(60\/(-210)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*(-29)\/(870\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w + 7. Let h(p) = 17*p + 20. Let b(k) = 3*h(k) - 8*j(k). Let m be b(5). Does 9 divide (m - -1) + -1 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10122924 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:46 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-14))\/(467\/(-4203)*18\/(-8))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -11, 5, 3 in ascending order.\nAnswer: -11, 3, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.23354659 rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*j - 2 + 53 = -4*j - 2*j, -7751 = -0*q - q + 310*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -557*i**2 + 290*i**2 + 270*i**2. Let b(f) = -f - 18*f - f. Determine b(z(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203883*s**3 + 70418*s**2 + 2?\nAnswer: 1223298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4885 * 51\nAnswer: -24.9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*294\/(-1056) + (-4)\/(-22). Put i, -5, 2\/27, 2 in decreasing order.\nAnswer: 2, 2\/27, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 4, x: 2, g: 11}. What is prob of picking 4 g?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 537?\nAnswer: -4\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 331 = -4*k, -4*k + 144 = -3*c - 175. Calculate the remainder when 8362 is divided by k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -0.3. Sort l, 4, -2 in increasing order.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 41 = -3*y - 78. Calculate the highest common factor of 94 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + f + 2. Let c(r) = -16*r**2 - 8*r - 16. Let q(o) = c(o) + 12*s(o). Find x such that q(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/20)\/(42\/(-35)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1014 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*(-3)\/(-123))\/(-54). Let o = g + 21017\/17712. Let y = -39 + 155\/4. What is the common denominator of o and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 divided by 5\nAnswer: 138\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(11))**2 + 0 - sqrt(55)\/(sqrt(720) + sqrt(720)*4).\nAnswer: -1081*sqrt(11)\/60 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/((-8)\/60*93\/(-62))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - 109*g + 79. Calculate a(-20).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64253 + 5?\nAnswer: 64258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-2*x - 5*x + 2*x)*(3*x + x - x).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2154 - 35015?\nAnswer: -32421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -f - 3, 4*t + 5*f = 5*t - 15. Suppose m = -4*q - 17, q + 42*m = 44*m - 11. What is the closest to -0.01 in -4, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 790.\nAnswer: 60830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 331 = 131. Suppose -667 = 32*m - k*m. List the prime factors of m.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2236783163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d. Let f be x(6). Let v = f - -33. Differentiate 3 + 7*c**3 - 16*c**3 + v wrt c.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 118*b = -66 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 2:45 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:29 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*d - 118, -5*c + 55 = 3*d - 92. Let x be (-2 + 3)\/(29\/1015). Which is bigger: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2906, 0.4, -44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3*b - 7 = 0, 201*a - 4*b + 3 = 202*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 3 - (13 + 1)\/7. What is the remainder when (20430\/12)\/(-5)*2\/c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26820 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/8 (b) -411.589 (c) 1 (d) 2\/9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*(2 + sqrt(432)))**2 - sqrt(432)) + (6*(sqrt(108) - (sqrt(108) + -3))*3)**2.\nAnswer: 216*sqrt(3) + 5532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = -v, 3*j = -2*v - 6 - 3. Let f be 2\/4*v\/(-21). Let k = 49 - 50. Is f at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.3. Suppose 0 = 3*c + 4*g - 318, -10471*c = -10467*c - 4*g - 396. Are c and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 23*m**7\/21 + m**5\/10 - 149*m**3 + 2*m - 59. Find the second derivative of u(a) wrt a.\nAnswer: 920*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 16068796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 + 8*p**3 + 7*p**2 + 1653*p wrt p?\nAnswer: -24*p**2 + 48*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 3. Let q be g(2). Let s = q - -5. Let m(h) = 7*h. Let o be m(s). Solve 3*r = o - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 7*y**2 + 8*y + 4. Suppose 22*t = 21*t + 8. Does 6 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 469094368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x + 36. Let l(t) = 16*t - 17. Let h(z) = 5*l(z) + 2*r(z). Let q be h(1). Which is the biggest value? (a) -4 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 678, 1320, 1956, 2586?\nAnswer: 3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-874)\/46 + 2 + 7\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3923 - 0.3923. Sort u, -1, -26, 4.\nAnswer: -26, -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67218, 67236, 67254, 67272, 67290, 67308?\n\"Answer: 18*m + 67200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2688354 and 1134477.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {t: 2, s: 1, r: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/30)\/(2\/(-3)). Let u = 2.95 - -0.05. Which is the closest to q? (a) u (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98109610 or -294328832\/3?\nAnswer: -98109610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 49. What is the second derivative of 0*q - 10*q**u - q - 15*q wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3000 - 413?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59364 = 18158*u + 430902 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 4*c + 11. Let r(s) = s**2 - 2*s + 6. Suppose x - 293 = 3*y, y - x - 36 + 137 = 0. Let w be y\/15 + 2\/5. What is w*f(n) + 11*r(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1936 and 139866276.\nAnswer: 139864340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 2484108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3984763 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o - 129*o - 133 = 579. Let v be (1\/(-3))\/((-2)\/(-2)). What is the nearest to 0.11 in o, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*d**4*k - d**4 + 2*d**3*k - 23*d**3 - d**2 + 442671*k wrt d.\nAnswer: 1776*d*k - 24*d + 12*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = 0, 3*y + 3*r = 2*r + 38. Suppose -10*w = -y*w + 146. What is the remainder when w is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 2, 61, 194, 425, 778, 1277, 1946?\nAnswer: 2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuwl when four letters picked without replacement from {e: 1, y: 4, s: 5, u: 2, l: 2, w: 1}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2321, 1666, 615, -826, -2651, -4854, -7429, -10370?\n\"Answer: z**3 - 204*z**2 - 50*z + 2574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -23\/8125?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -238, 3, -0.2, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + w + (-1 + 3 - 4)*(-3*w + 4*w + w))*(w + 2 - 2).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 41518*k - 83044*k - 13*k**2 + 41526*k + 12*k**2.\nAnswer: -8*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from zttztzzzzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -1\/3 (c) -4 (d) -51 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-7)\/((-105)\/(-95))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -22873 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/(1\/5). Suppose -l*g = -2*g - 2. Solve g*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 4640?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 - 2714\/19. Which is the smallest value? (a) w (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14026800 divided by 1.\nAnswer: -14026800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*y - 1 = 0, 0 = -2*n + 3*y + 5. Let t(b) = 3*b**3 - 35*b**2 + 68*b - 174. Let r be t(10). What is the highest common divisor of r and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 5. Let m(u) = -3*u + 3. Determine -8*m(r) - 5*q(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/241569 and 10\/368483.\nAnswer: 3870176949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4579 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - (-6 - 3) - (262 - 284).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j + 4*j**5 - 21*j - 8*j**2 + 16*j**3 + 16*j**4 - 22 + 14.\nAnswer: 4*(j - 1)*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30106*c + 2581 = 30017*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 q when four letters picked without replacement from qrrrrrrrqrq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 1437*w - 86897. Calculate d(63).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.422139 years?\nAnswer: 0.0422139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051732275 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 - -145.0000257. Round x to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let q(j) = -2*j**2. Let m(c) = -26 + 4 + 17*c - 18*c. Calculate m(q(k)).\nAnswer: 2*k**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 9. Let t(s) = -25*s. Is 25 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 12*v + 10. Calculate the remainder when n(7) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-17*u + 3*u - 34*u)*(1 + 4 + 4).\nAnswer: -432*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -25*r**2 + 936. Let g(v) = -3*v. What is g(b(c))?\nAnswer: 75*c**2 - 2808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - o + o + (o + 0*o - 3*o)*(4 - 1 - 5) + (-o + 0*o + 2*o)*(7 + 4 + 3) to f*o + b and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3418 * -6533\nAnswer: -2232.9794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77566 + -5?\nAnswer: 77561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-3)*4\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. What is the closest to -1 in 3, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*v + 2*u, -2*u = -1 - 5. Suppose 14 = v*x - 239. What is the remainder when 87 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -1311, 4.\nAnswer: -1311, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 9*u + 3. Let x = -20 - -11. Let s be j(x). Let p be (-3*(s + -2))\/1. Is p at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*m - 716*m + 5 = 9*y, 3 = -y + 2*y + 2*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.2 (b) 1\/3 (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 15. Let v = -2041 - -2037. Let j be 7 + -1*(1 - 2). Let x be (-4 - 31\/v)*j\/(-3). Calculate a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5012.04kg to grams.\nAnswer: 5012040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/6 - n**3 + n**2 - 20*n. Let t(h) = -h. Give -i(g) + 4*t(g).\nAnswer: 2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*m - 3 - 3, 0 = 2*m. Let h be 3*(3 + 44\/(-12)). Let r be ((3 + 37)\/4)\/h. Is x at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 5*h - 92 = -56, h - 3 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 16) to base 9.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46 and 0.10986782?\nAnswer: 46.10986782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (3 + -9 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -1\/4 (c) -4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 + 10*y**2 + 3 + 4*y + 5*y**2 - y**3 - 25*y**2 - 2*y**4 to the form j*y**3 + v*y**2 + h*y**4 + w + n*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 184633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7861 = -3*x, 5*s - 39377 = -20*x + 17*x. Does 173 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 2. Let f(j) = 80*j**3 + 6 - 2 - 5. Is f(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 4*s - 3*s + 10*s + 4.\nAnswer: 25*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6 and 151\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196757 is divided by 28093.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.57, 384?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1505, -3\/4, -1\/5, 4, 3\/8 in increasing order.\nAnswer: -3\/4, -1\/5, 1\/4, 3\/8, 4, 1505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(343) + ((sqrt(343) + -1)**2 - sqrt(343)))*2)*-1.\nAnswer: -688 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 1 + ((sqrt(448) - sqrt(448)*2)**2 + -4 + sqrt(448))*4)*2.\nAnswer: 64*sqrt(7) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 - 7)) + (-5 - (-98 + (-13 - -6)))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10800012 = -4*o - 2*n, 4260651 = 2*o + 5*n - 1139355. Suppose 2*h - k - o = 0, -5*k - 1350015 = -4*h + 3*h. What is h rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x + 72 = 16*x - 164. Let v = -8 - -9. Sort v, 1\/4, 0.1, x in increasing order.\nAnswer: 0.1, 1\/4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 4, 3, -3 in decreasing order.\nAnswer: 264, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 - 2*l**2 - 2*l**2)*(-1 + 893 + 443) as y*l + t*l**2 + h and give t.\nAnswer: -4005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5108619, 10217242, 15325879, 20434530, 25543195?\n\"Answer: 7*h**2 + 5108602*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -2 - (-44 + 34).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 80\/67 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -13?\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + l - 2*l + 0*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 1 - (35 + -11 - 59).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 102214145?\nAnswer: -102214154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 18. Determine v(-15).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 3. Suppose 2*v = 5*v - 5*j - 17, 0 = -3*v - 4*j + 8. Suppose -v*h + 2*u = 0, 0 = -2*h - 3*u + u - 12. Give r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:40 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -191733 divided by 809\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 199 - 199)*(-21*k + 3*k**3 + 21*k).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/726)\/((-2)\/12). Sort -1\/4, 5\/3, -0.1, f in increasing order.\nAnswer: -1\/4, f, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/27, -2, -69?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-60)*-3)\/(3288\/(-2740))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 179328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.2, -3957.5, -113.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49164 or 49161?\nAnswer: 49164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25579048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(9*m + 12 - 12).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3594*a**4 - 12*a**3 - 41*a**2 - 25*a - 4. Let i(b) = b**4 + 3*b**3 - b**2 + b + 1. Let l(m) = 4*i(m) + o(m). Find the third derivative of l(g) wrt g.\nAnswer: 86352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*u + 3*y, -4*u - 3*y = -0*y - 166. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*h - 67 + 67)*(-h - 3*h + 5*h) - 1 - h**2 + 1.\nAnswer: 68*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 6*w**2 + 2*w - 10. Give n(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 8. Let m be h(-7). Is 24 a factor of (-24)\/(-2 - (-9)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.63, -9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 5. Let i be j(8). Suppose -i*f + 10 = 2*f. Suppose 0 = f*n - 6*n + 204. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142758*y**2 + y - 77795?\nAnswer: -285516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23668 + -23668. Solve -2*x + 13*r - 11*r + 4 = k, 4*x + 2*r - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53009 is divided by 477.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 1534*f + 16704. Give j(-11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98069291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.24733g in kilograms?\nAnswer: 0.00524733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 - 0.028115.\nAnswer: -61.028115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 12*u = -360. What is the highest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 108 and -0.78247?\nAnswer: 108.78247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864*q - 187*q - 159*q - 515*q + 550 - 550.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 10*y**2 - 15*y - 4. Calculate the remainder when c(-11) is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*m + 2*m, 2*q + 3*m + 29 = 0. Let g(j) = j**2 + j - 2. Let x be g(-3). Let v = q + x. Put -2\/9, -3\/5, v in decreasing order.\nAnswer: -2\/9, -3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (17 - 1)\/1. Let z = 31 + x. Let p = 17 - z. Solve 4*h - 24 + 4 = p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.37 - 1.67. Which is the third biggest value? (a) -1\/3 (b) g (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 20*g**2 + 20*g - 14. Let v(q) = -26*q**2 - 13*q + 80. Let j be v(5). Let y = -616 - j. Calculate t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-143))\/((-60)\/(-40))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 5*k**3 - k**3 + (19 - 19 - 3*k)*(3 - 3 - 2*k)*(-k + k + 5*k) in the form c*k**2 + s*k**3 + n*k + b and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 767107 and 1991.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 5, -35, -125, -283?\n\"Answer: -3*z**3 + 2*z**2 + 7*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*o + 414*o = -3*y + 22, -2*o + 4*y = 34. Let k(v) = -17*v**3 - 1 - 18*v**3 - 2*v + v**3 + 0*v**3. Determine k(o).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 34. Let t be x(10). Solve -t = -g - 2*l, -l + 6 = 4*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 27\/4, -4, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5525 and 83200?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1237*x + 20*x**2 + 6 - 1237*x + 2 to y + j*x**2 + l*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 0) + 4 - -135. Let i = 28 - 26. Let b = i - -15. What is the greatest common factor of b and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-12)\/n)*n*n\/(n**(-13)\/n) assuming n is positive.\nAnswer: n**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 58 + 157. Let f = v + 39. Let d(b) = 2*b + 3. Determine d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 462 = -36*w. What is the remainder when w is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132.1 - -117. Let r = 15.100109 + u. What is r rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r, -3*h + 9 = 2*r - r. Suppose -m + 11 = -h*n, -4*m = -5*n - 6*m - 33. Which is the third biggest value? (a) n (b) 1\/10 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 164*h**2\/3 + 344*h\/3 + 7280.\nAnswer: 2*(h - 78)*(h - 14)*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1740, -2.\nAnswer: -1740, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 2.91. Let q = -96 - -97. What is the closest to u in 0, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 28.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -9*p**4 - 30*p**3 - 28*p**2 - 8*p = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-42))\/(30*(-3)\/(-420))*6\/(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-60)\/18 - (-7)\/(-15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Suppose -h - 6 = -2*l, h - 18 = -j*l - 0*h. Let u(k) = -k - 12. Let b be u(-13). Solve b - 17 = l*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1185*r + 31. Is j(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 11*y**2 + 2*y - 9. Let x be n(11). Let j be (-670)\/(-3) - x\/39. Let t = -96 + j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346358 bigger than 346359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4 + 59180*x**3 + 47647265*x**2 - 47706450*x = 0. What is x?\nAnswer: -10967, -870, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -169, 1, -1\/4, 20\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 + r + 5. Let l be u(-4). Suppose 4*g + 0*n + 2*n + 16 = 0, g + 3*n - l = 0. Which is the third biggest value? (a) -3 (b) g (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 29*d - 79394. Suppose 23*x - d = -5*m + 20*x, 5*m = x + 5683. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50391331 plus 1.28?\nAnswer: 50391332.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113330221032313 - -2?\nAnswer: 113330221032321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*g - 1 - 9 = 0, -3*o - g - 22 = 0. Let k be (189\/28)\/((3\/o)\/(-1)). Put k, 1, 5, 2 in decreasing order.\nAnswer: k, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39309193 to the power of 1\/2, to the nearest integer?\nAnswer: 6270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3 - -4\/15. Let d be 1*((-4)\/(-17))\/(-2). What is the closest to 0 in -1\/2, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/40 and -109\/810.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 5*v - 3*q + 13, 0 = 3*v + q + 26. What is the second biggest value in v, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 36*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5434 from -67203.1.\nAnswer: -61769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -96 (c) 2 (d) -1 (e) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.05, 3\/7, 3\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b + 1addfd?\nAnswer: 1adda2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8*v**2\/3 - 5614*v\/9 - 10672\/9 = 0.\nAnswer: -232, -23\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**3 + 2*q**2 + 2*q. What is u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0 + -3?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-262)\/(-2227)*(-17)\/6)\/((-4)\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -62 + 24 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 20018.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 12, -4 in increasing order.\nAnswer: -7, -4, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11008*j**2 - 115*j - 231. What is the thousands digit of d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxxnnxnnnnn. Give prob of picking 3 x.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12343 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*g - 122 - 1988 - 14692 = 0 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 1 - 3*p - 6*p**2 + 4 - 24 with respect to p.\nAnswer: -12*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((225\/6)\/(-5)). Which is the smallest value? (a) -4 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 391215, 390974, 390723, 390456, 390167?\n\"Answer: -t**3 + t**2 - 237*t + 391452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12440 + 21*t**2 - 17*t**2 + 12068 as a*t**2 + z*t + q and give q.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 3, l: 1, x: 2, t: 1, y: 9}. What is prob of sequence vv?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 96. Give n(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -11. Let k = -3.9 + 4. Put l, k, -0.5 in increasing order.\nAnswer: l, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + a - 26. Let s be m(0). Let r = s + 56. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 3, y: 2, n: 1, x: 1, r: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.35 - -45.44. Let g = i + -29. Let j = g + -0.29. Which is smaller: j or 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7888714*-0.3\nAnswer: 2366614.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3407*y - 2366 - 1041 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**3 + 775*m**2 - 4345*m + 605.\nAnswer: -5*(m - 11)**2*(7*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -838219\/239 and -3507 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 380*k - 35357. Give b(93).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/5 - 38157364*m**3\/5 - 228944232*m**2\/5 - 457888496*m\/5 - 305259008\/5 = 0. Calculate m.\nAnswer: -2, 19078688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 8. Let v(c) = c + 10. Let r be -2 - -3 - 8 - (-5 - -8). Let i be v(r). Solve k + 4*k - 24 = -z, i = -2*z + j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6307 (base 12) to base 2.\nAnswer: 10101000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let w(a) = 6*a - 2. Let y be w(m). Suppose 483*d - 569*d = -774. Is d less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576493.2cm in kilometers?\nAnswer: 5.764932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78451231 - 3.2.\nAnswer: -78451234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**4 + 2*f**4 + 6 - 5*f**4 wrt f?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-21)\/(-6))*-524. Let q(w) = -7*w**2 - w + 2. Let k be q(1). Calculate the common denominator of -43\/22 and i\/(-36) - 8\/k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 = -496*d + 535 - 102 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -604\/7 (c) -11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - ((-3)\/(-3) - 1). Suppose -1 = -2*t + 7. What is the second derivative of u*h**4 + h**4 - 5*h**t + h wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 117? (a) 2\/9 (b) -166 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12174620.\nAnswer: 2, 5, 113, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -93*m**3 + 5*m + 5. Let h(i) = 1813*i**3 - 98*i - 98. What is 98*f(d) + 5*h(d)?\nAnswer: -49*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1252 - 780. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czjzz. Give prob of sequence jc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -17*m**4 + 20*m**3 + 4*m**2 + 206. Determine u so that x(u) = 0.\nAnswer: -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121485 is divided by 874.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/20 - 81\/15. Let c = 1709 + -27445\/16. What is the common denominator of c and (0 + u\/32)*119\/(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/29))\/t**5*t**(2\/5)\/t**(-8\/5) assuming t is positive.\nAnswer: t**(-56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Suppose 5*t - 2*t - 1 = -2*i, 5*t = 5*i - 15. Suppose 0 = 4*f + 2*v + 4, -6*f - 4*v = -i*f + 8. Let b(k) = f*k - k - k + k. Determine a(b(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*d = -0*d + 35, a + 11 = 5*d. Let z = 15 + -7. Let p = z + a. Solve 0 = p*t - 4*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 5)*5 + 6*(-4*sqrt(405) - sqrt(405)) + 3)**2 + 4 + 4.\nAnswer: -12600*sqrt(5) + 253917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meqrqce. What is prob of picking 1 m and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 46\/5 (b) 6 (c) -3\/2 (d) -0.17 (e) 1\/2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429503, 429502, 429501, 429500, 429499?\nAnswer: 429498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123252137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75168 + 105667. Let d = w + -2317971\/76. What is the common denominator of d and -1\/16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f**2 + 2*f)*(2*f**3 + 3*f**3 - 4*f**3) - 3*f**5 - f**5 + 5*f**5 - 55*f**5 + 4*f**5 - 74*f**5 + 2*f**5 + f**3 - f**3.\nAnswer: -124*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 13*u**2 + 5*u**2 - 50*u**2 + 14*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 23*w**2 - 3*w - 30. What is the hundreds digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-3 + 1). Suppose 2 = 4*l - q*l. Suppose l*a = 7*a. Solve a = 2*v + 3*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72404*r**2 + 20*r - 7486?\nAnswer: -144808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 625 - -119?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 - 4*m - 14. What are the prime factors of n(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -7 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.6 and -3.958.\nAnswer: -28.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, d: 6}. What is prob of sequence tddd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:16 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/13)\/(b\/(b**(-2\/9)\/b)))\/(b**27*b*b*b**(4\/7)\/b*b))**(-8\/9) assuming b is positive.\nAnswer: b**(208816\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 8. Let l be i(4). What is the greatest common divisor of l and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670.65 minus -2?\nAnswer: -668.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10095365 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n. Let a(c) = -21*c. Let z = 133 + -138. What is z*b(w) - 3*a(w)?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240187\/64 + -3753. Find the common denominator of a and 15\/224.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 172*n - 62 = -62*n - 3689 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let v = -3.5 + c. What is the nearest to 0 in -1, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liomlhimmi. Give prob of sequence iih.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43468 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13951853807.216465958 - 13951853788. Let s = f + 323.783532412. Let h = s + -343. Round h to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7*(56 - 17190\/315).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960, 1193, 1426?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*i + 24, 3*i = 2*r + 5 - 2. Let u = 8 - r. Suppose -39 = -2*x - y, u*x - 74 - 51 = 3*y. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5245\/9 - -583. Sort 1.26, -0.1, f in ascending order.\nAnswer: -0.1, f, 1.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 11*v**4 - 6 + 3 + v**2 as z*v**3 + a*v + t + o*v**2 + k*v**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 6*m - 92. Let c be k(12). Suppose -18*u = -23*u + c. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12691927 + 19561927. Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-30)*q*q)**46*q\/(q*q**(-1\/43)*q*q*q)*q**(-2\/19) assuming q is positive.\nAnswer: q**(-1054814\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:59 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -798.\nAnswer: -79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/((-2)\/24). Suppose -a - 4 = -5*u. Suppose -20 = b - u*b. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.7 + -6. Let k be 662\/18*24\/16. Let m = k + -55. Which is the biggest value? (a) m (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17767 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*b**2*o**3 - 2*b**2*o**2 - b*o**3 + 44*b*o**2 wrt o?\nAnswer: 570*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) - (-897)\/(-115). Let j be (-2)\/3*(y + 22386\/(-12)). Suppose 4*b + 1564 = 5*g, 2*b = -4*g + 3*b + j. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1282, -247, -2, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 2*c - 1. Let g = 995 + -941. What is the remainder when g is divided by k(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/16*-2)\/((-10)\/32)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 738\/82*(-8)\/(32\/4)*(-10)\/(-1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-85 + 97 + -22 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 12. Suppose b*j - j - 21 = 0. Let v(r) = r**2 - 8*r + 14. Let g be v(j). Which is bigger: 8 or g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, l: 3}. What is prob of sequence qlll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 5*l + 1. Let h be q(-4). Suppose 12*f - 28 = 188. Let b be 4\/f + (-38)\/171. Solve b = 4*o - 16, -h*o + 11 = g - 2*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 + 11480537*u**3\/4 + 32950676711823*u**2\/4 - 32950688192361*u\/4.\nAnswer: u*(u - 1)*(u + 5740269)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3)*-1)\/((-6)\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/14)\/(24\/168). Let y(h) = h**3 + 25*h**2 + 4. Let p be y(-25). Solve -p*b - d = -2*f, -4*b + 0*f - 3 = 3*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose 5*g - 2*s = z*g, 5*s = g + 20. Suppose -14 = -y + g*d + 5, 27 = 3*y - 5*d. Solve -y*a + 2 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 279870, 556657, 833456, 1110273, 1387114?\n\"Answer: q**3 + 276780*q + 3089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -516 (base 9) to base 6\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121\/3 + -40. Let b(p) = -7*p + 56. Let g(m) = -4*m + 27. Let t(w) = -3*b(w) + 5*g(w). Let x be t(32). What is the second smallest value in x, s, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138821\/168 + -5802\/7. What is the common denominator of (1\/63)\/((-548724)\/16137 - -34) and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5502.119 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 967096 divided by 241774\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -213 + 545. Let c = 1651\/5 - y. Is -3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**8\/1120 + x**7\/420 - x**5\/135 - 5*x**4\/12 - 4*x. Let f(s) be the third derivative of r(s). Factor f(t).\nAnswer: 2*(3*t - 1)*(3*t + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/472 and 34\/17419.\nAnswer: 8221768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-387)\/645)\/(220\/(-800))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -24. Suppose v - 4*v - 30 = 0. Let r = 3 - v. What is the highest common divisor of h and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237615588 divided by -2828757.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54)\/sqrt(3)*-4)\/((sqrt(27) + sqrt(243))\/sqrt(3)) + (3 + 0 + sqrt(2) - (sqrt(16)\/sqrt(4))\/sqrt(2))*-5)*-4*-5)**2.\nAnswer: 12000*sqrt(2) + 90800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 69825 divided by -175\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 26)*2\/(-8)*274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 336.47 and 461.716801.\nAnswer: 798.186801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2*(-1)\/(-2). Suppose 2*z + 5*a - 1738 = b, -4*z + 3*a = -0*z - 3528. Let f = z + 111. What is f rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111164 (base 12) to base 11.\nAnswer: 175aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*j - 372 + 76 = 0, 0 = 4*x + 3*j + 627. Is 1\/(1\/(-5)) - x a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5876.\nAnswer: -5\/5876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 56. Let d = 4.9 - 5. Suppose -18*q - 126 = -162. Which is the closest to q? (a) o (b) -1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.95 - -0.05. Let b be (-206)\/8 + 2\/6. Let t = b + 145\/6. What is the second smallest value in t, -2, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 18*g + (4 + 3 - 5)*(2 - 2*g - 2) + (0 + 4 - 5)*(-6*g + 9*g + 0*g))*(-g**4 + 3*g**4 - g**4).\nAnswer: -25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a factor of 33736712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16227*a**2*m**3 + 228*a**2*m - 2*a**2 - 32*m**3 - 2*m + 11 wrt m?\nAnswer: -97362*a**2*m - 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 717685\/(-75) + 2\/15. Let x = 8970 - b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nncl when four letters picked without replacement from nncelelclcnlec.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155*h*l**2*s*t**2 - h*l*t**2 - h*s + l**2*t**2 + 7*l*t - 2*s*t + 5*t**2 wrt h.\nAnswer: 155*l**2*s*t**2 - l*t**2 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5081 is divided by 2016.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 185\/3 - (-1)\/3. Suppose -3*a - 3 = -15. Suppose 16 = a*j - 20. Calculate the highest common factor of j and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -84.081. Round t to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592033, 1184068, 1776103?\nAnswer: 2368138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9563061 by 562533.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -15 + -328 + 99191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Let a be (0\/(o*(-3)\/6))\/2. Solve a = -0*p + 3*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 21. Let j(y) = 0*y**2 + 2*y**2 + z*y - 25*y - 4. List the prime factors of j(5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.097 - 5.997. Let h = -3441 - -3434.998. Let l = a - h. Round l to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 2. Let f(d) = -5*d - 3. Let s(m) = 2*f(m) - 3*v(m). Let b(p) = 3*p**2 - 6*p. What is b(s(n))?\nAnswer: 12*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in -1, -0.012, -3?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 + 1. Let b(n) = -n**3 + 7*n**2 + 3. Let k be b(7). Let s(x) = 5 + 32*x**3 - 39*x**k + 1 + 6*x**2. Calculate -6*h(r) + s(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1547688 and 826.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.107 + 0.893. Is s at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = -n, 0 = -0*n - 3*n + 2*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 934, 10154, 25520, 47032, 74690, 108494, 148444?\nAnswer: 194540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - 0.6. Let j = 1.98 - -0.02. Let m = j + -1.9. Sort k, m, 3.\nAnswer: k, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 56. Let t be i(-22). What is the lowest common multiple of 24 and (16\/t + -4)*-27?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (11 - -3)) + -25 + 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**4)*d\/d**(6\/11))**(-1)*(d**(-1\/4))**2\/(d*d\/(d\/(d*d**1))*d*d**(-1)) assuming d is positive.\nAnswer: d**(-175\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is e0 (base 16) in base 9?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/6527 (b) 0.023 (c) 0.5 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:56 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686, -671, -666, -677, -710, -771, -866?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 11}. Give prob of sequence cm.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = b + 27, -4*b = -2*b + 2*o - 6. List the prime factors of 2043\/(-12)*b*16\/12.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3357514*c**3 + 8345749 wrt c?\nAnswer: 10072542*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1058 times -6\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 3*x**2 + 2*x - 3. Let b be j(3). Let v(y) = -7*y - b*y - 4 + 1. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15051531 to the nearest integer?\nAnswer: 3880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -49427.51 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8464 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14476026 + -11?\nAnswer: 14476015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -18bb09?\nAnswer: 18bb07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*q + 1154 - 1154 + (1 - q - 1)*(4 + 1 - 3) + q - 2*q + 7*q to g*q + j and give g.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -757 - -763. Solve 13*d = 7*d + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81598 is divided by 1118.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1112408 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - 6*g - 3. Let k be t(-6). Let r(z) = -z**3 - 3*z**2 + z + 3. Let a be r(k). Let q = a + 1. Solve 0 = 4*w - 5*w - q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-225)\/275?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11059250874 + 15768565285. Let l = j + -4709314381.000000606. Let s = -30 + l. Round s to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c - 753. What is i(-37)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595207 divided by 1.\nAnswer: -595207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 3*n + 3. Let q(u) = u**2 - 2*u - 2. Let c(p) = 3*q(p) + 2*y(p). Let h(t) = 26*t**2. Determine c(h(a)).\nAnswer: -676*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27983237\/1540 + 18171. Calculate the common denominator of t and 97\/560.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/(-860))\/(-9)*(-368)\/(-276).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**7\/2520 - r**6\/240 - r**5\/24 + r**4\/6 + r. Let b(q) be the third derivative of h(q). Let d = 0 + 4. Give b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 2*c - 4512. Let b(l) = -l. What is o(b(p))?\nAnswer: -p**2 + 2*p - 4512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0386, -1\/8, -3, 2, 1, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383.56 - 165.7. Let k = w + 538. Round k to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j + 0*j**2 + 85 + 8*j**4 - 46\/3*j**3. What is the third derivative of w(i) wrt i?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -28, -100, -222, -406?\n\"Answer: -2*w**3 - 7*w**2 + w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1863\/(-506) + (-1440)\/(-660).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37092 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4550\/(-11375))\/((-3)\/5). Factor 4*p - 16\/3 - n*p**2.\nAnswer: -2*(p - 4)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1364481, 1364484, 1364487?\nAnswer: 1364490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6070 + -6068. Put 121, f, -4 in decreasing order.\nAnswer: 121, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725746426 to the power of 1\/2, to the nearest integer?\nAnswer: 26940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102828 + -102835. Let m be 6\/(-21) + (-16)\/42. What is the nearest to -0.1 in 0.4, m, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w + 3. Let y be u(2). Let l = y + 14. Let r = -7 + 5. Which is the nearest to l? (a) -1 (b) r (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3292, -297, 50 in descending order.\nAnswer: 50, -297, -3292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-64))\/(((-7)\/42)\/1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 263043*a + 14. Let l(y) = y. What is x(l(h))?\nAnswer: 263043*h + 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1521*c = 35486 + 22246 - 3329 - 5731 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7952 and 17\/26068?\nAnswer: 7403312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5158251734 to the nearest integer?\nAnswer: 71821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + k**2 + 6*k**3 - 1 - 6*k**3. Let o be g(1). Is 5\/2 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(2*b - 5*b**2 + 0*b + 8*b**2) - 5 + 5 + b**2.\nAnswer: 10*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159391 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 3. Let m be v(-11). Suppose 20 + m = 5*o. Suppose 2*w - o = -2*w. Solve -4*f = 3 + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, j: 3, d: 3, t: 3}. Give prob of picking 1 j and 1 d.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 5*r + 2. Suppose -u = -0 + 5. Let f be o(u). Suppose s + 2*v = -2*s + f, 170 = 5*s - 5*v. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0 + 1)*-17. Suppose -18*z + 112 = 346. Let f = w + z. What is the least common multiple of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2354 - -3?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1069 - 1?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 4*y**3 + 4*y**3)*(-5 + 2 + 2) + y**3 + 1 - 1.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let z(a) = a**3 + a**2 - 3*a - 1. Let u be z(-2). Let y be ((u + n)\/(-3))\/(-2). Solve y*j + t = -2*j, 0 = -j - 4*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1 - -2) + (664 - 677)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 - h + 1. Let z(a) = -463*a**3 - a**2 - a. What is -i(r) + z(r)?\nAnswer: -464*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2214968, -2214946, -2214924?\nAnswer: -2214902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 46 = 14. Suppose 2*h - s - 6 = 0. Suppose 2*u + 1412 = h*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 + 0 + 3 - -2 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130.399171 + -130.4. What is i rounded to 5 dps?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-1*8 + 3). Let c be (g\/(-6))\/(4\/6). Let t = c + 4. What is the smallest common multiple of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*o - 59. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2088 - -2104. Put 3, 4, 2, j in increasing order.\nAnswer: 2, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -433\/910 - 9\/1820. Find the common denominator of s and 57\/1792.\nAnswer: 23296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let u be -1*1 + (j - -4). Suppose 0 = g + 3*t + 7, -4*g = t - u - 15. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + ((-6 - (4 - 31)) + -6 - (87 - 33)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 858*y**4 - 2*y**3 - 9*y**2 + 141536*y wrt y.\nAnswer: 10296*y**2 - 12*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*v = 9, -2*v + 4*v = 0. Suppose a + 215 = -5*y, -168 = b*y + a - 41. Let n = y - -46. Solve -2 = 4*l + n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from geegooooeeogge?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -11 - 16) + (100 - 52).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6804 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 9. Suppose p = -4*y + 259, -3*y - 2*p = m*p - 190. Suppose 4*i + i - y = -4*q, -2*i = -4*q + 2. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15333251023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1874400 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1001101 (base 2) to base 11\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**2 + 172*l**2 + 11515*l**3 + 11500*l**3 - 23039*l**3.\nAnswer: -24*l**3 + 141*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**2 + 49*d**3 - 47*d**3 + 2*d**2 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3\/227499137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 2\/3 (b) -0.1 (c) -38 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -49?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000151924 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 9.9. Let d = -11.9 - w. Let s = -7 - d. What is the closest to 1 in -1\/4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 2. What is m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99225352.\nAnswer: 2, 12403169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 17*u**2 - 14*u - 22. Let t be r(16). What is the greatest common divisor of 130 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1233093583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011 (base 2) to base 5.\nAnswer: -2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/27, -5, 0.16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(sqrt(68) - ((sqrt(68)*2*1 - sqrt(68)) + sqrt(68))))**2)*6.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -17 (c) 18 (d) 0.286 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5398 - -15935\/3. Let g = o - -87. Solve 0*c**3 + 0*c + g*c**4 + 0 - 2\/3*c**2 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3429359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-5\/3)*h\/(h\/h**3)*h*h**(3\/4)*h*h**(-1\/3) assuming h is positive.\nAnswer: h**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - z**2 - 2*z + 4. Let j be g(2). Suppose -j*t = -6*t + 436. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + c?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:17 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/39)\/(o\/(o\/((o**(-2\/9)\/o)\/o))*o*o))**(-3\/2))**45)**(6\/5) assuming o is positive.\nAnswer: o**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4646\/2525*15)\/((3\/10)\/(-1)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -15, -3\/8, 4, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-3*(-2*sqrt(175) + sqrt(175)) - (sqrt(175) + sqrt(175) + -1 + sqrt(175))*-2)*-1)*-1*4 + -5)**2.\nAnswer: -11880*sqrt(7) + 227889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*s + 148. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j - 231. Let g = 132 + j. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2 and -127\/6280?\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 16*d - 17. Let q be w(17). What is the smallest common multiple of 8 and 7 + 6\/(2 - q)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r - 2577 - 2538 = 0. Let q = -14 - -30. What is the remainder when r is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 = -5*y - 91. Suppose 0 = -6*v + 3*v + y. What is the highest common divisor of 36 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 12935790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.103033242 to 4 dps.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1455, -1509, -1575, -1659, -1767, -1905, -2079, -2295?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -321477*q**2 + 321420*q**2 - 18 + 18. Let k(i) = 22*i**2. Calculate k(d(s)).\nAnswer: 71478*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 3572104\nAnswer: 4\/446513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-28)\/32) + (45 - 25).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 89394*j. Let f(w) = 141*w. Calculate -1269*f(o) + 2*g(o).\nAnswer: -141*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -4 + 0 + 8. Let h = 25 - 29. What is the smallest value in 0.4, h, -2\/7, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqxc. What is prob of picking 1 x and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2 - 5*a - 5. Let v(s) = 9*s**2 + 7*s + 7. Let f(q) = 2*q + 1. Let i be f(-3). Let u(x) = i*v(x) - 7*o(x). Let y(k) = 7*k**2. Give u(y(j)).\nAnswer: -147*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224133 divided by 821.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -452*b + 465*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -86, -184, -320, -494, -706?\n\"Answer: -19*u**2 - 3*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 5*b**2 - 4*b + 3. Is l(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -2\/33 (b) 1 (c) -4\/3 (d) -0.5 (e) 761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 811*o + 59332. Give u(-72).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191863.1 rounded to the nearest 10000?\nAnswer: 4190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 65520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 14\/5, 5\/3, -0.2, -6\/5 in increasing order.\nAnswer: -6\/5, -1, -0.2, 5\/3, 14\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/(-6) + 2\/(-3). Let o(d) = -d**3 - 11*d**2 - 19*d - 6. Let u be o(-9). Solve -28 = -2*m + y*t, 12 = -m + u*m - t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a**2 - 81*a - 128271 wrt a?\nAnswer: -12*a - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7660358200 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 2*i**2 - 2. Let t(k) = -2*k**3 - 7*k**2 + 7. Suppose z - 4*x - 22 = 0, -2*z = -2*x - 2 - 12. What is z*t(h) + 7*l(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - o**2 - o. Let z = 268 - 290. Suppose 43 = 4*f + 5*r - 41, 0 = 3*f + r - 63. Let p = z + f. Give q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5949479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22871 is divided by 189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 119*h**5\/20 - 7*h**4\/6 - h**2\/2 + 8*h + 7. Find the third derivative of j(n) wrt n.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 3 + 3. Let j(g) = 3 - 1 - 1. Let p(f) = -2*f - 8. Let q(w) = 8*j(w) + p(w). Determine d(q(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51115\/1332 - -1\/2664. Let c = s + -3117\/88. What is the common denominator of c and 89\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21456.5 * -151.3\nAnswer: -3246368.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.5. Suppose 0 = -q + 2*i - 5 - 5, 3*i = 5*q + 15. Let y be 1*(-1 - q)\/(-2). What is the smallest value in g, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*h**2 + 16 - 21.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/28 and 10\/273?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 17*b + 16*b - 608 + 497 + b**2 + 21*b as c*b**3 + u*b + w*b**2 + g and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let f be ((-16)\/(-6))\/(4\/6). Suppose -2*i = -p + 2, 8*i = f*i + p - 4. Let b(g) = 463538 - 6*g - 927081 + 463543. Calculate i*b(d) - 5*u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1365 + 1365. Suppose 5*y = -2*h - 12, 4*h + 2*y - 36 = 7*y. What is the nearest to a in -2, -1\/3, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132320111 - 1?\nAnswer: -132320112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11910 is divided by 1178.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*x**3 - 188*x**3 + 287*x**3.\nAnswer: -78*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 1 + 1)*(-5*d + 2*d - d) + 0*d**3 - 6*d**3 + d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, -3, 3 in descending order.\nAnswer: 3, 0, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 8*k - 2. Suppose 0 = -3*a + 2*b - 3, 3*a - 4*b + 9 = -0*b. Let c = -5 + a. Let o be i(c). Calculate the greatest common factor of 98 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127297 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 710, 700, 690, 680, 670?\n\"Answer: -10*n + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/425 + 243\/425. What is the biggest value in d, -1\/5, -6, 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 4:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 846*v + 59643.\nAnswer: 3*(v - 141)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*1\/2*-1. Put c, 2, 0 in decreasing order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 1 = 3*o + 4*d, 0 = 2*o + 3*d - 52. Let x = o + 16. Let i be 12 - (2 - 3)*4. Calculate the highest common divisor of x and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5*m**3 - m**3 + 4)*(-4*m + 3 - 3) in the form q*m**4 + n*m**3 + s + t*m + d*m**2 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1504*j**2 - 2034*j**2 - 2*j + 1796 + 1414 - 3533*j**2 with respect to j.\nAnswer: -8126*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 7 - 57 - -7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 47, 33, 17, -1, -21?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 61*j**2 - 2*j + 77. Let s(f) = -184*f**2 + 6*f - 230. Let m(d) = -8*c(d) - 3*s(d). Differentiate m(q) wrt q.\nAnswer: 128*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 1141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1584?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 5*g**2 + 6*g + 5. Let i be c(-6). Let v = i - 4. What is the units digit of 22 - (-3 + (v - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**16*l**3*(l**1)**(-3\/40) assuming l is positive.\nAnswer: l**(797\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1443 and 119\/311688?\nAnswer: 311688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -134836, -269671, -404496, -539305, -674092, -808851?\n\"Answer: v**3 - v**2 - 134839*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*q**3 + 88*q**3 + 107*q**3 + 108*q**3.\nAnswer: 131*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1115377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let l be 4\/(-10)*(-8 - -3). Suppose -4*h = -0*h - 3*i - 20, 4*h + 2*i = 20. Let o(u) = -l*u**2 - h*u**2 + 6*u**2. Give n(o(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) - (sqrt(2268) - (1 + sqrt(2268)))*2 - (1*sqrt(2800) + -5))**2 + 0.\nAnswer: -28*sqrt(7) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -744 + 747. Solve -r = -14*i + 39 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 20 = -u. Suppose -8*s = -423 + u. Solve m + s - 49 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13873 is divided by 1734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 != 4358\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3536 and 8398?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/85, -4\/7, -4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2125.042 - 2122. Round z to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*d - 4, -4*l + 14 = 3*d - 0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1551 and 846.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/2 - 27623353*g + 763049630962609\/2 = 0.\nAnswer: 27623353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4140663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(147\/(-6)) + 14592\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:28 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49578634*m**3 + 57300550.\nAnswer: -148735902*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3345150 by 4614.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5955 + -26?\nAnswer: 592a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 11*l**8\/336 - l**6\/15 + 149*l**5\/12 - 423*l**2. What is the third derivative of z(f) wrt f?\nAnswer: 660*f**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-144)\/152) - 90\/81. Suppose 3*m = y - 2, -3*y - 4*m = 2*y - 48. Let x(c) = t + y - 7 + c**2. Calculate x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 636, 959, 1282?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 33, 34, 35?\n\"Answer: x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-4)\/1232*1013)*2. Let r = v + 6\/77. Which is the closest to -0.1? (a) -0.1 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 10646*k - 1144740. Give y(-111).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229748 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-25) - 8\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2950994 by -8243.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 - d + 2. Let a be g(4). Let j = a - -2. What is the derivative of 1 + j - 2 - 1 - 2*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 6*k**3 - 8*k**2 - 58*k - 61. What is the units digit of z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 - -118. What is the closest to m in -2, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020265252 to the power of 1\/2, to the nearest integer?\nAnswer: 44947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 244885*c**2 + 101*c + 16. Let n(r) = -48977*r**2 - 20*r - 3. Let x(p) = 11*n(p) + 2*s(p). Let q be x(7). Round q to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1198, 130, 2346, 5450, 9442?\n\"Answer: 444*b**2 - 4*b - 1638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*c - 17, 5*m - 4*c + 18 = -3. Suppose -2*j + 20 = 2*s, -j + 8 = 5*s - 58. Calculate the remainder when (1 - 2)\/m*27 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 3 + 48*v - 3 + 65*v.\nAnswer: 109*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*j - 309*j - 501*j = 4694*j + 147075 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 9. Let x be f(6). Calculate the remainder when (0 - -22) + x + -1 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2386387 is divided by 317?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27727518 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m. Is -1\/6 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 283, 0, -4, 20 in decreasing order.\nAnswer: 283, 20, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebw when three letters picked without replacement from ebebbwb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 311*u**2 + 2*u + 650*u**2 - 298*u**2 + 2 as f*u**3 + t + k*u**2 + x*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*o**2*w - 4432*i*o**2 + 65*i*o - 7*o**2*w + 10*o**2 - 3*o*w + 2*w - 2026 wrt o?\nAnswer: 4*i*w - 8864*i - 14*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 11 - 7. Let o be (-11)\/((-3)\/j + 0). Let t = o + 65. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28424 is divided by 473?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1675323711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/34)*s*s*s)\/s*s**20)\/(s**(4\/7))**11 assuming s is positive.\nAnswer: s**(3761\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + d - 126. Let u be x(0). Let y be 10\/u + 1\/(-7). Let c = -5\/18 + y. Which is bigger: 1\/5 or c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31376\/141192)\/(-4 + 5 - (0 - (-58)\/6)).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.4 + -5. Let s = -118 - -168.3. Let q = 50 - s. What is the second smallest value in c, q, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + ((-4)\/(-3))\/(24\/36). Let o be d\/9 + 3\/9. Suppose 1\/3*j**2 + 0*j - j**4 + 0*j**3 + 0 + o*j**5 = 0. What is j?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2 + (-6)\/(-4)). Suppose 3*b + 104 = 5*b + 4*t, z = 4*b + 5*t - 211. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -27*z. Let b be r(-3). Let y = -413 - -422. Calculate the highest common factor of b and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14459?\nAnswer: 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23386842?\nAnswer: 2, 3, 1299269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 6:31 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15660.648 rounded to the nearest ten?\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 5150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.680436 - 116.680602. Let o = m + 82. What is o rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314248, -628507, -942766, -1257025, -1571284, -1885543?\nAnswer: -2199802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -703\/199 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 332 = -5*z, -223 - 106 = -5*z + b. Let q be -1*(-29)\/((-232)\/(-448)). Let y = z - q. Calculate the lowest common multiple of y and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s**3 - 290*s**2 - 57*s - 7. Determine k(15).\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.3. Which is the nearest to x? (a) 2 (b) -2\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h + 14. Let c be k(-6). Let j = c - -60. Suppose -l - 4*p = -55, 7*l + p = j*l + 218. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 4617.\nAnswer: 18468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b2 (base 15) in base 5?\nAnswer: -22032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86787 (base 10) to base 2.\nAnswer: -10101001100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55076 is divided by 176?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -56\/11*p**3 + 0*p - 16\/11*p**2 + 0 + 68\/11*p**4 - 18\/11*p**5 = 0.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281703529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*t + 22, 4*t - t = 4*b - 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-135)\/180)\/(2\/(-8)). Let k = 0.45 - 0.05. Let m = 0.0028 + 0.4972. What is the second biggest value in -2, x, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - -6 - -7*1. Suppose -4*l = -9*l - v. Which is smaller: l or -1\/43?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 14*i + 14. Let b be o(13). Is b at most as big as 2\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/99 and 1\/366.\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(224) + sqrt(56)) + sqrt(672)\/(sqrt(12) + sqrt(192)) + sqrt(56))\/((sqrt(7) - (sqrt(7) + sqrt(252)*-1)) + (sqrt(847) - -1*sqrt(847))))**2.\nAnswer: 6561\/2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, u: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10395 less than 0.5?\nAnswer: -10394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/27 and -65\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1262.26547 to 1 dp.\nAnswer: 1262.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53382?\nAnswer: 2, 3, 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -377, 4, -2, 0 in decreasing order.\nAnswer: 4, 0, -2, -3, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b. Suppose 2*q + b*o + o - 34 = 0, 5*o = 3*q - 25. What is the highest common divisor of q and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5048 = -g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (-21 + (22 - 44)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*h + 9, -2*h + 2*d - 6 = 4. Let w(l) = -3*l + 3. Is 6 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-364)*21\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 3*p)*(4 + 0 - 5) + 0*p + 3*p + p + p + 0*p - 3*p + (1 + 3 - 2)*(0*p - 3*p - 8*p).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.37 or -2\/9?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 585037523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(2268) + 2)*-4.\nAnswer: 64 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2152*p**3 - 10*p**2 - 16*p + 65. Is m(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537226 is divided by 573?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaasaaaaaaaaaaaaaa. Give prob of sequence asz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -231, -229, -227, -225, -223, -221?\n\"Answer: 2*z - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4313518.428+180\nAnswer: 4313698.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 411?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3 + 15. Solve 0 = -2*z + 3*z - u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11.19647 litres?\nAnswer: 11196.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173356 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - (2 + 0) - 0. Suppose 1 + 9 = 5*v, -3*v = -j - s. Which is the closest to 2\/3? (a) -3 (b) -3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.57 take away -4922108893?\nAnswer: 4922108855.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/2 of a hour?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -299 + 297. What are the prime factors of 3\/v + 16995\/22?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 292027355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 1, c: 3, l: 1, p: 1, k: 5}. What is prob of sequence lk?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3456 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -114, -137, -168?\n\"Answer: -4*x**2 - 3*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*c - 31 = -4*s, -2*s + 3*c + 16 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 508 and 66?\nAnswer: 16764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1 (base 14) in base 9?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 - 3*s**2 - 3*s + 3. Let j(n) = -11*n**3 + 8*n**2 + 8*n - 8. Give 3*j(p) + 8*o(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 183. Let l = -50 - x. What is the closest to 1\/5 in -2\/3, l, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*6 + 14 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 1394*p - 276952. Calculate h(240).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-33 - -34) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 - 172818*w + 2488838427 = 0.\nAnswer: 28803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrsebrurursrrsrrsss. What is prob of picking 1 s and 1 u?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-9) - 3)*-42. Let l(m) = m**3 - 15*m**2 + 16*m + 14. What are the prime factors of l(c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/823 and (-5348)\/(-3596) + (-160)\/(-2480)?\nAnswer: 23867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/9 - 6980*j**2\/9 - 6131714*j\/9 - 24192968\/3 = 0 for j.\nAnswer: -1739, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c9 - -5?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 3)*(-6 + 1 + v + 1).\nAnswer: 5*v - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100304 (base 7) to base 12.\nAnswer: -9992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 563406 and 2058.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*t**4 - 2\/9*t + 2\/9*t**5 + 0 + 0*t**3 - 4\/9*t**2.\nAnswer: 2*t*(t - 1)*(t + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3239367*d + 6478904*d - 3239538*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 35, 30, 21, 8, -9, -30?\n\"Answer: -2*t**2 + 5*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2046, -8052, -17906, -31488, -48678, -69356?\nAnswer: -93402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 83825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 675*b**4 - 12939*b**3 + 44253*b**2 - 52404*b + 20412 = 0. What is b?\nAnswer: -243, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 2*n**2 - 296*n - 1782. What is i(-6)?\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1750.126 to the nearest ten.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 19 - 15. Is f != -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129574 is divided by 1062.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5a25 (base 11) to base 13\nAnswer: 3791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95092569 to the nearest integer?\nAnswer: 9752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(110\/143))\/((-3)\/(-10*3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -446793\/2029 and -220 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 - 15 - z**3 - 5*z + 21 - 10. Let g be -5*3\/(15\/(-4)). Give c(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 484275 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6 - (-3)\/(-15)) + 3288\/(-360)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/8 - 13219155*m\/4 - 58248686304675\/8.\nAnswer: -3*(m + 4406385)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 2*y**2 - y**2. Let z(a) = a - 2. Let i(r) = 3*r - 9. Let p(s) = 2*i(s) - 9*z(s). Calculate x(p(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 2. Let u be z(0). Let d = -7 - -28. Let a be u + -3*d\/(-27). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 159, -3\/8, -2\/11, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -10*v**3\/3 - 430. Let z be 24\/15 - 4\/(-10). Let y(n) = 2*n**z - n**2 + n**2. What is b(y(j))?\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800 divided by 136?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and -24?\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 + -111. Let n be (-2)\/(-4) + 1\/(-42). Let o = n + -1\/3. Which is the smallest value? (a) o (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from {s: 7, y: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 162 = 19*t - 204 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 83*u - 183. What is the units digit of l(-43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -0.5, 9\/7 in increasing order.\nAnswer: -2, -0.5, -0.4, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40073, -80133, -120179, -160217, -200253?\n\"Answer: -n**3 + 13*n**2 - 40092*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -30, -4*z - 134 = -213*m + 212*m. What is the highest common divisor of 4565 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 + -220. Suppose -q = -z - 2*q + 143, 4*z + 5*q = 570. Suppose z = -i - u. Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 9*f - 39. Let t be m(3). Let z = 109927\/91 - 1208. Let l = z - 355\/819. Which is the biggest value? (a) t (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(78)\/sqrt(6)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597371 is divided by 29868.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210 + 1?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/247 or -12259?\nAnswer: -4\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**3 - 12*x**2 + 0*x**2 + 8*x**2.\nAnswer: -12*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*w**4 + 772109*w**3 + 10723067*w.\nAnswer: -144*w**2 + 4632654*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 727866.7 millennia?\nAnswer: 727866700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l + 0*l - 7*l)*(-9*l**2 + l**2 + 2*l**2) + (0 - 1 - 2)*(-l - 2*l + l - l**3).\nAnswer: -33*l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209455 is divided by 888?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2233922 and 961.\nAnswer: 69251582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l - 5. Let m be k(4). List the prime factors of 1 + 1 + -3 + m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y + 7*y - y**2)*(-907*y**2 + 2365*y**2 + 1452*y**2) to p*y**2 + t*y**3 + w + o*y**4 + r*y and give o.\nAnswer: -2910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 27*t - 205*h + 206*h + 10, -14 = 3*t + 4*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) 9 (b) -0.1 (c) 16527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -44*c**3 - 11*c**2 + c + 1. Let m(r) = -89*r**3 - 20*r**2 + 3*r + 2. Determine 11*i(b) - 6*m(b).\nAnswer: 50*b**3 - b**2 - 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25344 - -231400?\nAnswer: 202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9\/2)*((t\/(t*t*t*t*t**2))\/t)\/t)**(-2\/11) assuming t is positive.\nAnswer: t**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60352 and 93152?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -168650473482.\nAnswer: -168650473482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476, 475, 468, 449, 412?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.013 (b) 0.6 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:08 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -413 and 25.394.\nAnswer: -10487.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**14\/m)\/m*m*m**10)\/(m**(-12)\/m*m*m\/(m*m\/(m\/(m\/(m**(2\/25)\/m))))))**(-1\/10))**(3\/26) assuming m is positive.\nAnswer: m**(-213\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 22*o + 351. Suppose 5*w - 4*z + 68 = -3*z, 3*z + 6 = 0. Let t be m(w). What is the highest common divisor of t and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45679839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n**2 + 3*n + 2. Let s be b(-2). Let q = 9 + s. Solve 5*i - 4*u = -q + 44, -u = i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 3*b + b)*(0 + 8 + 17) + 2*b + 1 - 1 in the form h*b + q and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 18*v**2 + 17*v - 14. Let b = -87 - -95. Let k be r(b). Is ((-1042)\/(-6))\/(1\/k*-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*g + 4 - 0, -27 = -v - 5*g. What is the first derivative of -2 + b**2 + v*b**2 + 3 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 - 58. Let k be v(21). Let w = -6756 - k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.1*-0.5\nAnswer: -26.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, e: 1, j: 1, i: 2, b: 1}. What is prob of picking 1 b and 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 4. Let k be h(2). Suppose 4*z + k*z = 80. Let b be ((-5)\/z)\/((-3)\/12). Let w(v) = v - 1. Calculate w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99302137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w + 9 = 0. Let u be -7 - w - (-5 - -3). Let f be -4 - -7 - -1 - u. Let b(z) = -z**3 + 7*z**2 - 4*z - 5. Calculate b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 449\/3 and 151 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = -3*c - 9, 0 = 4*m - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3039*z + 92832. Determine n(-31).\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**2 - 18*g - 164. Let i(t) = 44*t**2 + 168*t + 1476. What is -3*i(b) - 28*y(b)?\nAnswer: 8*b**2 + 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 m when four letters picked without replacement from {m: 2, g: 6, y: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -246110 to the nearest 1000.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(1 - (0 - 0)). Let a be ((-9)\/t - 1)*6. Suppose 0 = -3*u + 3 + a. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16215, -16399, -16583, -16767, -16951?\nAnswer: -17135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**4\/8 - 5*k**3\/2 - 11*k**2. Let b be v(0). Let g be -7*(-21 + b\/5). Calculate the greatest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 13*m**2 - 4*m - m - 10*m.\nAnswer: -13*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 229389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11902905 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*o - 28, -3*o - 13 = -0*o + 2*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 + z. Suppose 16 = -k + 4*j, 1 = -4*j + 13. Let h be 1 - (k - -14)\/5. What is x(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -1780 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18346?\nAnswer: 2, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55016\/11109)\/((-260)\/40).\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 16. Let x(r) be the third derivative of r**5\/60 - r**3\/2 - 3*r**2. Let m be -12 + (-2 - (2 + -5)). Determine m*x(w) - 2*z(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*u - 13987 = u, 3*o + 5*u = 10482. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5872.\nAnswer: 1\/1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -27. Let i = -7 - x. Suppose -50 = 3*b - i*b. Solve 2*d + 3*d + b = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-6) - 1)*2. Suppose 2*s = -4*t + 370, -3*t - v*s + 367 = t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1626592 and -0.06?\nAnswer: 1626592.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11780, 26859, 41936, 57011, 72084, 87155, 102224?\n\"Answer: -j**2 + 15082*j - 3301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 11*d + 5*d - 60. Solve 0 = -d*o + 2*p - 26, -10*p = -3*o - 15*p + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/49 in -0.18, 0.2, 0.17, -5, 3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 5\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 639*q - 554*q - 1715 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*b + 223 = 0, 4*b - 20 = -16. List the prime factors of 418\/(-3)*c\/38.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*u - 91, -4*p = 4*u + p - 96. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -52. Let j = 48.00000071 - o. What is j rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7327 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1447 + 1453 = -2*x. Is (-4 - -474) + (x - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21589*r - 3670135. Calculate u(170).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.4 rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -320 + 319.9. Let w be -35*6\/45*3. Which is the closest to r? (a) 3 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 9) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let r(b) = -41*b - 394. Calculate r(d(n)).\nAnswer: 82*n - 394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-11853023264019\nAnswer: -11853023264018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/30 - 76993\/3629670?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 113*-0.08\nAnswer: -9.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5*c**2 - 1. Let q(u) = -3 + 1 + 2*u - 16. Let p = -1031 - -1041. Let l be q(p). Give f(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (11 - (-84)\/(-12)). Put 1, -111, l in increasing order.\nAnswer: -111, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -45, -138, -321, -624, -1077, -1710, -2553?\nAnswer: -3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*6\/(-4) + (-2 - 1). Let y be ((-6)\/10 - (-24)\/(-60))\/1. Put -4, i, y in decreasing order.\nAnswer: y, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*u + 1792 = 0. Let g(w) = u - 224 + w**2. Let f(j) = 7*j**2 + 2*j. Let z(n) = n + 5. Let a be z(0). Determine a*g(r) - f(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.5 + 9. Let l = 31 + -29. Which is the nearest to -2\/5? (a) -0.4 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 10294*l. Let x(m) = 349*m**2. Determine s(x(p)).\nAnswer: 243602*p**4 + 3592606*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15 + 27 + 31 - a**4 - 79 - 44*a**3 + 22 wrt a?\nAnswer: -4*a**3 - 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.4174 decades to years.\nAnswer: 624.174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 26. Suppose 2*o = 4*o - 10, -2*m = -3*o + z. Let w = 3.8 - 4.8. Which is the third smallest value? (a) -1\/4 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:24 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -489 * -4\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/2 - 22872946*a + 261585829359458 = 0?\nAnswer: 22872946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23540 divided by 5\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 64, 100, 138, 178, 220, 264?\n\"Answer: m**2 + 31*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113755?\nAnswer: 5, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -20 - (-5 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**3 - 3*k**2 + 22*k - 6. Let b(x) = x**3 - 4*x + 1. Determine -6*b(v) - g(v).\nAnswer: 5*v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/43 + -1464\/301. What is the common denominator of x and -33\/61?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-23))\/(b*b**(-2\/41)\/b)*(b\/(b\/b**(-28)))\/b*b**27 assuming b is positive.\nAnswer: b**(-982\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*3\/(-2). Suppose -2*z + 4*x = -2, z - 2*x - x = m. Let u(k) = 16*k**2 + 2*k - 1. Let w be u(z). What is the highest common divisor of 51 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -5. Let s(a) = a**3 + 3*a**2 - 10*a + 2. What is the remainder when r is divided by s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyllliyyi. What is prob of sequence ylyl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 30*y - 25. Is l(21) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5569.119mg to micrograms.\nAnswer: 5569119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -188*x + 17150. Give o(92).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 37954120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118220 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6878820 by -5.\nAnswer: 1375764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i - s = -1, 3 = -3*s. Let y be (-11)\/i + (-3)\/2 + 3. Let w be 12*((y - 7) + (-1)\/(-2)). What is the greatest common divisor of 15 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - d + 62 = -11*o, -5*d + 37 = -4*o. Let p = 825 - 756. Let k = o + p. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*z - 9*z + 26*z - 117*z + 41*z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26 and -2.4.\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1)**(-50)*t**(-3)*t**(-1\/6))**7)**(-19\/6) assuming t is positive.\nAnswer: t**(42427\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 404 and 0.353.\nAnswer: 404.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -257.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202122 + -1?\nAnswer: 202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 - 23*g - 12. Let o be v(-7). Let y(n) = n + 0*n**o + 25 - n**3 - n**2 - 27. Give y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239\/28 - -1\/28. Suppose 0 = -3*i + 2*i - 3. Calculate the common denominator of x and (-11)\/(76\/16 + i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 - 262 + 87 + 98 + 14*c**3 to f*c**3 + g*c**2 + d + z*c and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 255*t - 1100 = 0 for t.\nAnswer: -55, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154599.\nAnswer: 3, 29, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, 46\/9, 1\/8, -5, -0.03?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106.39 - 107. Let q = y - 33.89. Let o = -35 - q. What is the closest to 1 in 2\/3, o, 2\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*k - q + 77, q = 3*k - 219. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2236 and 21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -24. Let h be 65\/(-3) + (-216)\/162. Is m at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/5)*u*u)\/(u\/(u\/(u**(3\/5)*u))) assuming u is positive.\nAnswer: u**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 0\/(-6) + -10. Let q(p) = -p**3 - p**2 + 3*p + 2. List the prime factors of q(r).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 34746\nAnswer: 29\/34746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -176, -26.\nAnswer: -176, -26, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 240101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-81))\/((-68)\/24*-2).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 1.5. Let p = -5.1 + 0.1. Let k = p - d. Sort k, -3, -5 in decreasing order.\nAnswer: -3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 800*w - 798*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2629149, 2629146, 2629143, 2629140, 2629137, 2629134?\nAnswer: 2629131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuuuuznbo. Give prob of picking 2 n, 1 b, and 1 z.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 - v + 3. Let j = -66 - -109. Let s = 48 - j. Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 21*c = 15. Suppose c*w + 3 = -0*w, 5*w + 27 = r. Calculate the remainder when 36 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g - 3*g + g)*(-2632 - 375*g**3 + 2632) as l*g**3 + c*g**4 + i*g**2 + z*g + k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7733 - 23214 + 7766 + v**2 - 3*v - 8*v + 7766 + 11*v.\nAnswer: v**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5 - (-40 + 33 - 6)) + -59\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -41. Put n, -2, 1 in descending order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h + 37. Let d be a(5). Is 2\/d + (-7854)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {v: 10, d: 4, k: 4, t: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 484921037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*m**4 + m**3 - 5*m**2.\nAnswer: 2136*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 18\nAnswer: 143\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27718.\nAnswer: 2, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:23 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 580 + -2a?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-2205)*(-12)\/4?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76402.43 millennia?\nAnswer: 764024.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11272*k**2 - 5*k**4 + 1 + 2*k**4 + 11275*k**2 - k**3 to the form m*k + w + p*k**3 + y*k**4 + g*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16460, -16459, -16458, -16457?\nAnswer: -16456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/2 + 63\/10. Which is the second biggest value? (a) -0.3 (b) -1 (c) o (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -100279?\nAnswer: -401116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93287*i - 90850*i + 56820*i.\nAnswer: -127317*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r**2 + 7*r - 8. Let b be j(-5). Differentiate 3*z + 3*z + 188 + 22*z**2 - b*z - 175 with respect to z.\nAnswer: 44*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1539)*1 - ((sqrt(1539) - (sqrt(1539) + -1)) + 1 + sqrt(1539)) - (-5*sqrt(1539)*1 - -3*(sqrt(1539)*-1 + sqrt(1539))))*-1)**2.\nAnswer: -72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + 1 + 2*a + (-2*a + 3*a - 2*a)*(-2 + 2 - 1) + 5*a - 2*a - a)*(-3*a + 5*a - a).\nAnswer: 6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p + 52. Let t be v(5). Let k be ((-33)\/t)\/(6\/(-16)). Suppose -1074 = -k*x + d, 4*x - x = -2*d + 811. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -90\/83 (b) 0 (c) 3853 (d) -1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22021 (base 3) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p + u - 201, 0 = p + 2*u - 33. Suppose 2*c + p + 1 = 3*f, c + 8 = -5*f. Let i be 2\/9 - 2\/c. Do 1 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let k be 3*((-11)\/(-3) + 3). Let h(d) = k - 20 - 4*d. Give l(h(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417755 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + (-6 - 1) - -13) + 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Let q be c\/(-8)*(3 - 3). Solve 1 = -q*x + x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 - ((5 - 21) + 7 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(66) + -6*sqrt(66)*-1 + sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: -35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/30822803 and -31\/55?\nAnswer: 154114015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -16, -17, -16, -13, -8, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 15) in base 11?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-650)\/(-91))\/((-25120)\/(-8792))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594493811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*a + 21. Suppose 2*m + a = -m. Suppose 3*g = -2*v, -6*v + 2*v = 3*g. Put m, 3, g in ascending order.\nAnswer: m, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 4*r**2 + 4*r. Let l be y(3). Suppose 0 = 2*i - 4*i + l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 473\/4 - 119. Which is the nearest to 2? (a) 5 (b) r (c) -3\/5 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**2 - 56. Let f(u) = 58*u**2. Calculate a(f(l)).\nAnswer: 116*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1028768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 + 3*r**2 + 580 - 288*r - 237 - 11*r**2.\nAnswer: -8*r**2 - 288*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*a**6 - 10*a**5 - a**2 - 2046.\nAnswer: 6720*a**3 - 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(-23\/4)*i**(-1\/3)\/(i*i**(-1\/4)) assuming i is positive.\nAnswer: i**(-203\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*u + 3 = 0, f + 3 = -4*u + 2. Let a(n) = n**2 + n. Let g be a(f). Sort g, -4, -1 in increasing order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -2*r**7\/105 + r**6\/3 + 37*r**5\/5 - 124*r**4\/3 + 256*r**3\/3 + 229*r**2 - 3. Factor d(h).\nAnswer: -4*(h - 16)*(h - 1)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1249*t - 1257*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1079\/3 - -358. What is the biggest value in -8, 1, r, -4, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8228 divided by -121.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -506444, -1012885, -1519326, -2025767, -2532208?\n\"Answer: -506441*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*p = -120*p + 136. What is the smallest common multiple of p and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*g - 272 = 228 + 64 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -863*x - 14652. What is j(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15895, 31783, 47671?\n\"Answer: 15888*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, u: 3, i: 1, j: 4}. Give prob of sequence yi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -2, 5, 3, 41, -113?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 47. Suppose 0 = 17*d - o*d - 6. Solve -5 = d*q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 6\/(-3)) + (-8 - -12 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 1262.\nAnswer: 7\/1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 111177910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 11:12 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -22*v**2 - 12*v + 16. Let n(a) = -156*a**2 - 85*a + 120. Let h(m) = -2*n(m) + 15*q(m). Let l(j) = -3*j. Calculate h(l(f)).\nAnswer: -162*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.7, -0.22?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16625 and 5.\nAnswer: 83125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1030.02629 to 0 dps.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c**2 - 4*c**2 - 8*c**2 + 2 - 4*c**2. Let z(w) = 4*w**2 - 5. Give -5*y(g) - 2*z(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-12)*224571\/63. Let m = y + -4157. Find the common denominator of m and 13\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 + 0 - m**4 - 3 - 3*m + 2*m**2 in the form p*m + h + z*m**4 + s*m**3 + g*m**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6854 and 184.\nAnswer: 27416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3523884 (base 9) to base 12.\nAnswer: 77a941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7138 rounded to 2 decimal places?\nAnswer: 2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38\/25, 0.5, -2\/5, -2\/7?\nAnswer: 38\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725 (base 10) in base 7?\nAnswer: 10642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/30 - a**4 - 3*a**2 + a - 49. Let g(k) = 3*k. Give g(m(b)).\nAnswer: 6*b**2 - 72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 267*s**3 - 3 + 4 - 45*s**3 as w*s**3 + o*s + u + y*s**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1681 + 3594. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + 0*p)*(-9 + 3*p - 15*p + 17*p).\nAnswer: 5*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.6 in 1\/3, 0.06, -4\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/52 - 80\/(-260). Let v(d) = 2*d**2 - 2*d - 87. Give v(n).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(5*(-18)\/(-60)). Is -10 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwdr when four letters picked without replacement from {d: 5, x: 1, r: 3, w: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.1673230490391 and 13.\nAnswer: 11.8326769509609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 12*q - 51. Calculate t(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 + r**2. Let w be g(1). Find the third derivative of 19*v**2 + 159*v**3 - 27*v**w - 159*v**3 wrt v.\nAnswer: -3240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.28755415 to two decimal places.\nAnswer: 4.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(-4 - (-70)\/15)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5607 divided by 63.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j - 1295 + 2197 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2620331 - 83307 = 541*o - 443*o. What are the prime factors of o?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 6}. Give prob of sequence gg.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7756251?\nAnswer: 3, 2585417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/15)\/(c**(-6)*c)*(c\/(c\/(c\/(c**(-1)*c))))**(-28\/9) assuming c is positive.\nAnswer: c**(79\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -889*m**3 + 9*m**2 + 10 + 3*m + 2*m + 888*m**3. Let f be j(7). Let q = f + -148. Put 3, q, -8 in ascending order.\nAnswer: -8, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 7. Let q = 24 + -20.9. Let u = k + q. Sort -2, 1\/5, u.\nAnswer: -2, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 111 = 4*j - 257, 16*j + 2*q - 628 = 0. Solve -15 = 34*k - j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 1\/24*a**4 + 0*a - 7\/120*a**5 + 0 + 1\/12*a**3 + 1\/60*a**6 + a**2. Factor d(w).\nAnswer: (w - 1)**2*(4*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92 + 194 - 123) + 50 + -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 2*d + v, -4 = -4*d - 4*v - 108. Let y = d + 33. Suppose 0 = 5*b - 2*u - 892, -3*u + 0*u + 732 = y*b. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -10, -7, -10, -25, -58, -115?\n\"Answer: -r**3 + 6*r**2 - 8*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 7:07 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*s, -3*s + 5*s - 2*w = 4. Suppose n + 7 = s. Let g(m) be the third derivative of m**4\/24 + 5*m**3\/6 + m**2 - 347*m. Give g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = 4*l + 15*t - 43, -3 = l - 2*t for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 1082 + 210 - 228 = 0. Solve 2*h - 9 = w*m - 35*m, 27 = 3*m + 4*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g = -93*g + 276. Calculate the highest common factor of g and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 738435 or 14030280\/19?\nAnswer: 14030280\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.74 + 2.79. Let r = -0.05 + w. Let t be 0 - 1\/6*(3 - -9). Which is the nearest to -1? (a) r (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + -280. Let h = 322 + r. Solve -n = 3*n + 4*y, -4*y = -3*n + h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**7\/105 + 6823*y**6\/120 + y**5\/15 + 1123*y**4\/24 - 87*y**2 + 52*y. What is the third derivative of g(u) wrt u?\nAnswer: -48*u + 40938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -12, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7658*u**3 - 22965*u**3 + 7646*u**3 + 7657*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/2852?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 12. Let m be d(-7). Suppose -3*l - 2960 = m*l. Let x = -407 - l. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*c + 18, -25*s - 3*c = -28*s + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*o - 3*w, 46 = -13*o + 16*o - 2*w. Calculate the remainder when (39\/(-2))\/(1\/(-4)) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 0. Let j = 13948 + -8054. Suppose 11*z - y*z = j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 14}. What is prob of sequence uuus?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 1\/4*b**4 - 39*b**2 + 0 + 5\/6*b**3 + 0*b. Let r(t) = t**2. Calculate c(r(q)).\nAnswer: 6*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(40) - ((sqrt(13) - sqrt(325))**2 + -1)) + 0.\nAnswer: -207 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/16)\/((-3)\/8). What are the prime factors of (-75)\/y*(-8)\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11569920 divided by 92\nAnswer: 125760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/7 - 37230*c**3\/7 - 335268*c**2\/7 - 558834*c\/7 - 37257 = 0. What is c?\nAnswer: -7, -1, 12419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r + 70. Let x be t(3). Solve 3*i - 7 = 5*l, 4*i - 5*l + x = 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*b + 140, 0*f = -2*f + 4*b + 40. Let x be 100\/f - (-4)\/6. Suppose 2*l + 4 = 0, 0*j + 50 = x*j - 5*l. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-310)\/35 - 5. Let n be (-3)\/6 + (-5 - ((-3159)\/(-42))\/(-13)). Which is the smallest value? (a) j (b) -0.1 (c) n (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 22*y + 76. Let c(h) = -7*h + 93. Let m be c(17). What is the tens digit of i(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s + 720. Calculate the common denominator of (-26)\/(-117) - (-1966)\/s and 42\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21012110201102 (base 3) to base 10.\nAnswer: -3827774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -16*v - 25*v + 7803. Calculate the remainder when v is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -7.9857503 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 0*j + 4*j)*(0*j**3 + 4*j**3 - 6*j**3) - 10*j**4 + 136*j - 136*j - 2 to the form t*j**2 + p + c*j + u*j**3 + w*j**4 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 1 - 34 = 0. Suppose 6 + 10 = 4*u. Solve 0 = -y*v + 3*v - u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k + 3716 = 802 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36313, 72304, 108295, 144286?\nAnswer: 180277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3447.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 900720 to the nearest 10000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -402087 divided by -6\nAnswer: 134029\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 38*q**2 - 5*q**2 + 8*q**2)*(16 + 49 + 22 + 57).\nAnswer: 5904*q**2 + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2009.15995 - -2010. Let z = o - 0.84. What is z rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/3 - 269*r**2\/3 - 5985*r + 6075 = 0.\nAnswer: -135, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-6)\/60). Suppose j - 3 + h = 0. Let b(t) = 3*t**2 - 2. Let c(i) = -16*i**2 + 11. Let m(q) = j*c(q) - 11*b(q). Let f(z) = 2*z. Give f(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l**14)\/l)\/l*l)\/l)**(-11) assuming l is positive.\nAnswer: l**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + 1 + -1*sqrt(1872))**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658740?\nAnswer: 2, 3, 5, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331311.\nAnswer: 19, 41, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9637866l?\nAnswer: 963.7866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u = -45*u. Suppose -2*q + 6 = -0*q, u = 2*z - q - 2563. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u + 24 = 40*u. Solve -2*h = 3*s + 9, u*s - s = 5*h - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9864*j**3 - 4*j**2 - 76*j + 341. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*p + 83 = 0, -5*p + 151 = 5*v - v. Suppose -5*s + v = -h + 4*h, 5*h - 110 = 5*s. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2 + 40*g**4 - 14*g + 17*g + 29*g**4 - 701 - 5*g wrt g.\nAnswer: 828*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-13\/5)*(v\/(v\/(v*(v**1*v)\/v*v*v)))**(-36))**(-2\/101) assuming v is positive.\nAnswer: v**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 - -0.12. Let h = o - 3.91. Let f = -3.1669 - -2.3669. Which is the third biggest value? (a) h (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1266, 1264, 1264, 1266, 1270, 1276, 1284?\n\"Answer: y**2 - 5*y + 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/94 and -101\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166068?\nAnswer: 2, 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5938 - -5992. Calculate the remainder when j is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006223 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -72981*w + 10138. Is k(-81) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 20. Let m = y + 40. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/(0 + 15\/130). Let o = 25 + -12. What is the greatest common factor of d and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6) - (-733)\/1155. Let k = t - -7\/55. Let h = 593\/21 + k. Calculate the common denominator of -73\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/36*-9 + 9\/(-4). Let m = -113\/77 + 9\/7. Which is the nearest to -3? (a) m (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3584 - -3584. Determine g so that k - 4\/11*g - 2\/11*g**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {o: 3, u: 1, a: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1407*p**3 + 989*p**3 + 487*p**3.\nAnswer: 2883*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -348*b - 1. Let s(x) = -173*x. Determine 3*m(y) - 5*s(y).\nAnswer: -179*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32591 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 138468317 to the power of 1\/2, to the nearest integer?\nAnswer: 11767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8*t + 1. Let b be y(8). Let l be 67294 - (2 - b - 0). Suppose -4*r + l - 187293 = 0. What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 3*r = -12*i + 33, -2*i + r + 14 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/129492 and 59\/8829.\nAnswer: 388476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, 23, -2, 0.005?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21*s = -9*s + 19 - 55, -2*s - 116 = 4*l - s for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/7 + 132*i**3\/7 + 21*i**2 - 528*i\/7 - 540\/7 = 0. What is i?\nAnswer: -2, -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3328\/5 - 4\/(-10). What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-84)*(-18)\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -315, -719, -1285, -2013, -2903, -3955?\nAnswer: -5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, x: 1, k: 6}. Give prob of sequence kxk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/343 equal to 257.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0 - 1\/2*g**2 - 1\/4*g**4 + 34*g + 1\/3*g**3. What is m(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 10, y: 1, a: 4}. Give prob of picking 1 q, 1 a, and 1 y.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 + 2 - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 6. Let k be z(6). Suppose k*u + 5 = 2*u + 5*o, -2*o = u - 3. Which is smaller: u or 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -21491*y. Let d(f) = 33*f**2 + 1. Determine u(d(m)).\nAnswer: -709203*m**2 - 21491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 390 = 8*r. Calculate the common denominator of r\/(-182)*(-51)\/(-15) and -85\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5)*4905\/3. Suppose 27*y + 993 = 29*y + 3*h, h = 2*y - n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1727*p - 679*p - 35534 + 19736 - 35554 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70780 and 40.\nAnswer: 141560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*f - 91*f - 11*f + 289*f.\nAnswer: 542*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 25449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 23*o**2 - 45*o - 115. Determine x(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -106*v**2 + 28455*v + 15864. Determine z(269).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*x**2 + 159 with respect to x.\nAnswer: -412*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2. Let d(c) be the first derivative of -8*c**3 + 190. Calculate d(u(v)).\nAnswer: -600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*-3*5 - -2*sqrt(1701)*5)\/((sqrt(9)\/sqrt(75) - sqrt(3)) + 2*sqrt(9)\/sqrt(3)).\nAnswer: -75*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 2, 1, -3, -1147 in ascending order.\nAnswer: -1147, -19, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1045.227 - 0.773. Let q = -1054.37 - y. Round q to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*z + 3 = -34, -29 = -4*u - z. Suppose 2*f - 16 = -5*d, 0 = 4*d - 4*f + u - 3. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1749*y + 62. What is the tens digit of a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 71\/2. What is the second smallest value in h, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2. Let a(t) = -2*t. Let q be a(-1). Let b(r) = -2 + 2 - 6*r**q + 4*r**2. What is f(b(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 105587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*c - 206, -89 = -2*c - 5*f + 21. Is 1 - (17029\/(-5) + (-10)\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 16.99. Let f = 0.11 - q. Which is the third biggest value? (a) f (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + m - 2 - 2*m + 2 + (-4 + 4 - m)*(-5 + 2 + 5) - 3*m + 3*m - m + 17*m - 2*m + m as o*m + y and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(144)\/sqrt(6))\/((1*sqrt(72))\/sqrt(6)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.66 + 0.345. Let v = d - -0.015. Let g be 1\/(-2) - (-3)\/10. Which is the third biggest value? (a) v (b) g (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -d + u - 1, 16 = 4*u. Let o = -2 - -4. List the prime factors of 3*((-10)\/d)\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6134*p - 48994. What is n(-8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2523269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.67576 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 334205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3723*b**3 + 153*b**2 - 153*b. Let g(y) = -49*y**3 + 2*y**2 - 2*y. What is -153*g(k) + 2*j(k)?\nAnswer: 51*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 171, 247, 305, 345, 367, 371?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Which is the third smallest value? (a) 1\/14 (b) -2 (c) 2\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - w + 11 = 0, -4*w + 19 = -5*c - 7. Let k be ((-17)\/c)\/(-17) + (-19)\/(-6). Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -1\/4*n**4 + 0*n**2 + 8*n + 0 + 0*n**3. Let z(v) = -4*v**2. Determine z(m(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 16. Let s be l(-3). Let k(r) = 5*r**2 + 10*r + 2. Let x be k(s). Suppose x = c - 48. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 6*c + 2*c)*(21*c**3 + 27*c**3 - 42*c**3) + (0*c**2 - 2*c**3 + 0*c**2)*(-c + 5*c - 3*c) + 2*c - 2*c - 2*c**4 - 33*c**4 + 191*c - 191*c.\nAnswer: -49*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/427 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99429 = 88*w - 19*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllyyyllll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11944368 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: Is 7121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158263902 to the nearest integer?\nAnswer: 12580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k - 11. Let d be b(-8). Suppose -345 = -5*w - 2*t, -w + d = -5*t - 0*t. Suppose -5*h + w = 14. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1120 + -206. Is 3655\/4 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*i**4 - 4*i + 3?\nAnswer: 4428*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 15, -2*u + x - 2*x + 11999 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127098 + 28215691\/222. Find the common denominator of r and -1\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -634 + 1012. Suppose -h = 4*b - 2390. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k - 97 - 91 = 0. Solve -k*a + 6 = -4*u, -2*a - 18 = 5*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.8. Suppose -56 = -3*g - 2*f, -2*g + 29 - 9 = -3*f. Suppose 3*b = -3*l - 2*b + 16, -5*l - 3*b = -g. What is the closest to -1 in l, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -47*g**4\/4 - g**3\/3 + 39*g**2 + 196. Find the third derivative of z(t) wrt t.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 8. What is z(12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z**2 - 2 + 3*z + 2*z**2 - z**3 - 5*z**2 - 2*z. Let c be b(7). Solve 4*p - 51 + 22 = -c*t, p - 6 = -t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 + (-60 - -1). Let j(b) = -b**2 + 6*b - 9. Let z be j(6). Let m = z - u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 11094699 + 11094677 = -2*c, 0*i + 2*i + 7*c = 77 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcracccccccrrcbcrro. What is prob of picking 2 c?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:28 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) -5 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*m**3 + 73.\nAnswer: -342*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 4 + 3 + 0*w)*(32 + 20 + 15) to the form t*w + l and give t.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -274, 163, 1372, 3353, 6106, 9631?\n\"Answer: 386*u**2 - 721*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15658 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/i*i)**(25\/6) assuming i is positive.\nAnswer: i**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -119 - -117 - (-3 - (3 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82873974 divided by 6\nAnswer: 13812329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2004 (b) 5 (c) 2\/3 (d) 124\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*f**5\/4 - 1393*f**4\/4 - 3699*f**3\/4 - 1787*f**2\/4 + 59*f + 15 = 0. Calculate f.\nAnswer: -1, -1\/7, 10\/49, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1901*p**2 + 5880*p**2 - 6 + 6.\nAnswer: 7781*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 185\/17? (a) 1\/3 (b) 2 (c) -3 (d) -5\/4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Suppose 2*n - 88 = -3*f + 3*n, 5*f - 2*n - 145 = g. Suppose 4*x = f + 1. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15926b (base 16) to base 9.\nAnswer: -2584251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 + 2*i**2 + 2*i**2. Let f(h) be the third derivative of -h**5\/2 + h**4\/12 - 406*h**2. Calculate n(f(u)).\nAnswer: -1800*u**4 + 240*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -52, -2, -3 in increasing order.\nAnswer: -52, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30647 - -337123\/11. Sort -2\/11, -16, 0.4, l, 0.05.\nAnswer: -16, -2\/11, 0.05, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*n - 415*n = -3294 - 2118 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8936, -36194, -81600, -145136, -226784, -326526?\n\"Answer: 3*p**3 - 9092*p**2 - 3*p + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 730*l - 38690. Let h be y(53). Let 65\/3*x**4 + 0*x**2 + h*x + 35\/3*x**3 - 10\/3*x**5 + 0 = 0. What is x?\nAnswer: -1\/2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from uqqquqqquqqqqqq?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 5*k**3\/3 + 985*k**2\/2 - 5470. Suppose q(l) = 0. What is l?\nAnswer: -197, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16190 - 15965. Calculate the highest common divisor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -50*h + 16*h. Solve 5*a - z - 11 = 0, 0*a - z = a - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 13*b = 2765. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6749 + 6748.8. Let s = 0 + 0.3. Let h be 2\/8 - (-21)\/(-4). Which is the closest to 0.1? (a) s (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 9. Let d(o) = o + 19. What is 3*d(u) - 5*p(u)?\nAnswer: -2*u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -297 - -7?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l. Suppose 4*m = 5*p + 3 + 34, l = 2*m + 3*p - 35. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 - 40*s**2\/7 + 6868*s\/7 - 13568\/7.\nAnswer: -(s - 64)*(s - 2)*(s + 106)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 10. Suppose -5*m = -o*m + 770. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 333484 and -0.2.\nAnswer: -66696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/6 - 4551*x. Let v(g) = g**2 + g - 1. Let l(y) = 2*y**2 - 7*y. Let j(k) = l(k) - v(k). Determine -j(w) + 6*r(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 15.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004088 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + u = -29, 2*c - 273 = -5*u - 264. What is the remainder when 1693 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2\/(48\/(-6)))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r\/((r*r\/((r\/(r\/r**(-3\/2)))\/r))\/r)*r*r)\/r)))\/r)**(-8\/7) assuming r is positive.\nAnswer: r**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13 - 16 = 0. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(832))*5)**2 + 2 + (-2*(sqrt(637) + -1 + sqrt(637)) + sqrt(637))**2 + 4.\nAnswer: -484*sqrt(13) + 26568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4473 at least as big as -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2. Let c(z) = -z - 4. Let i(v) = -v**2 + 3*v + 4. Let d be i(5). Let r be c(d). Let j(t) = r*t - 2*t + 2*t + 0*t. Give u(j(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2 + 0*o - o)*(1728 + 257*o - 1728).\nAnswer: -771*o**2 + 514*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 466*q**5\/5 + 418*q - 330. What is the first derivative of p(g) wrt g?\nAnswer: 1864*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/1 + 216\/(-27)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let m(s) be the second derivative of 7\/6*s**4 + 0 + 8*s + 0*s**3 + 0*s**2. Give m(g(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8 and -17\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 402155 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b3 (base 16) in base 6?\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020003581 rounded to seven dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232503 equal to 232502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (-31)\/2)\/((-10)\/4). Which is the second smallest value? (a) -2\/3 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-9 + 5 - (-3 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((-6)\/(-15) - (187\/55 - 1)). Factor 2\/9*a**t + 0*a**2 + 4\/9 - 2\/3*a.\nAnswer: 2*(a - 1)**2*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 0 + ((sqrt(228) + sqrt(228)*1 + sqrt(228))\/sqrt(12) - sqrt(19)) + sqrt(19))**2*-2.\nAnswer: -3078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*f - 210*f - 4 - 25 + 7 + 11 + 11 - 206*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + 4 + (8 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {h: 7, v: 6, t: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*(((q*q*q**(-5\/6))\/q)\/q*q)\/q*q))\/(q*q*q*q*q\/(q*q**(2\/3))*q))**(-46))**(20\/3) assuming q is positive.\nAnswer: q**(5060\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13747950 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514548, -514550, -514576, -514638, -514748, -514918?\nAnswer: -515160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/5 - 198472*g**2\/5 - 9861463981*g\/5 - 1357104956682\/5 = 0. Calculate g.\nAnswer: -99167, -138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4046*w + 4194*w + 3552 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25656 and 12828?\nAnswer: 25656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**2 - 5*d - 8 + 13 + 6*d**2. Let g(s) = -93*s**2 + 21*s - 21. Let u(x) = 21*b(x) + 5*g(x). Let l(q) = 21*q - 37*q + 18*q. What is u(l(n))?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(32))\/(-2*((sqrt(4) - sqrt(20)\/sqrt(5)) + sqrt(4))) + 6*sqrt(2)*-3 + -4 + -4.\nAnswer: -17*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079353474.\nAnswer: 2, 31, 17408927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 454931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36\/7, 109, -2 in descending order.\nAnswer: 109, -2, -36\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 14*t + 2. Let d(g) be the third derivative of g**5\/60 - 3*g**4\/8 - g**3\/6 + g**2 + 40. Determine 5*c(m) + 8*d(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2471121, 4942238, 7413357, 9884478, 12355601, 14826726, 17297853?\n\"Answer: i**2 + 2471114*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3312051 (base 7) to base 13\nAnswer: -113037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*q - 6, -n + 11*q = 12*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 700b87?\nAnswer: 700b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (5 - (33 - (-11 - (2 - 21))))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.7455773 rounded to 2 decimal places?\nAnswer: 57.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 16) in base 5?\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b - 6. Let t(y) = -3*y**2 + 7*y - 13. Let r(l) = 5*j(l) - 2*t(l). Suppose 169 = 3*a + 151. Suppose 12*v - a*v = -24. Determine r(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 - 748. Let l(g) be the first derivative of -13*g**3\/3 + 2. Calculate j(l(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1.05.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2925384, -5850769, -8776154, -11701539, -14626924, -17552309?\n\"Answer: -2925385*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13812*l**3 + 2*l**2 + 13813*l**3 + 0*l**2 - 8*l - 6. Give c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.39 - 3.61. Which is the fourth smallest value? (a) -2\/7 (b) -4\/7 (c) 1\/2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980) - 2*1*sqrt(1980))*-3)\/(4*-1*-3*sqrt(245)).\nAnswer: 3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -52, 51, -4, 2, -7 in descending order.\nAnswer: 51, 5, 3, 2, -4, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 6910.641087?\nAnswer: -6905.641087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3521.3 + -9?\nAnswer: -3530.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 21*r + r - 23*r + 3*r + 8.\nAnswer: 2*r + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106a (base 16) in base 14?\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(-8 + 126\/15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204019322 to the nearest integer?\nAnswer: 14284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 4 - (1 - 1). Let t be 0 + (w - (-3 + 3)). Let g be t\/(-12) - (-8)\/(-48). Solve i = 2 - g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 103*u - 50*u - 2*p - 100 = 0, -45*u + 2*p = 71*u - 544 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34749?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/12 + v**5\/15 + 5*v**4\/24 + v**3 + 2*v**2. Let t be f(-4). What is t rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 12. Suppose 0 = -2*q - 2 - 0. Let p be (-3)\/6*(-18)\/q. What is the units digit of w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v - 24. Let c(o) = -o**2 + 27*o - 74. Let g be c(24). Let m be s(g). Solve -4*b - 4*q = -12, 0 = -m*b + q - 3 + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**2 - 67*t - 140*t - 1546 + 96*t - 81*t. Let i(q) = 6*q**2 + 96*q + 774. Let o(r) = -5*i(r) - 3*y(r). Let o(c) = 0. What is c?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1 + 25\/5. Suppose 22 = 3*d - g. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -2*d**3\/3 - 2805*d. Let q(c) = 3*c + 4*c**2 - 3*c. Give q(l(a)).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.136 + -0.064. Is w smaller than -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27254 - 89007 = -19*p. What is the greatest common factor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + v + 1. Let q be l(-1). Suppose -165 = -2*b - 2*b - 5*a, 4*a - q = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - z**2 + 6 + (5 + z - 5)*(-5*z - 3*z + 3*z) in the form l*z**2 + y*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197618 + -82741. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1195828198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24327253*n**3 - n**2 + 366*n + 11421 wrt n.\nAnswer: -145963518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - a**4 + 63*a - 63*a + 2 in the form r*a**3 + n*a**4 + c + z*a**2 + m*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -13*w + 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*i + 13*i**3 + 664*i + i.\nAnswer: 13*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let f(v) = v**3 - 5*v**2 + 2*v - 6. Let r be f(5). Let p = -173561\/13 + 13351. What is the second biggest value in p, d, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) - sqrt(360)*-1 - sqrt(360)) + sqrt(360) - sqrt(360))\/sqrt(6))\/((sqrt(144)*2)\/sqrt(12) + sqrt(12)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -136. Suppose 2*b - 54 - l = 0. Suppose 8*x - 26 = b. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50808 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 160592, 321193, 481796, 642401, 803008, 963617?\n\"Answer: i**2 + 160598*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 12}. Give prob of picking 3 f.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2)*z*z*z\/(z*z*z\/(((z\/z**(-5))\/z)\/z)))\/(z**(-9)*z**(-8)) assuming z is positive.\nAnswer: z**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/70*(77\/(-2))\/11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4 (b) 0.2 (c) 21 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*(-1 + sqrt(833)) - sqrt(833) - (sqrt(833) - 2*sqrt(833)*2)) + (-3*-1*sqrt(833) - (sqrt(833) + sqrt(833) + -2 + 4)))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4164, 230, -107 in decreasing order.\nAnswer: 4164, 230, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/((-16)\/(-4)))\/(0 - -1). Let j(y) = q*y + 7*y - 7*y - 2*y. Let d(s) = -s - 2*s - 4*s - 3*s. Determine d(j(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 95 = -0*u + 2*u, 363*v - 1572 = -311*u + 364*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -57*p + 608. Let g be b(11). Suppose -3*u - 2*u + 150 = 0. Let o = u + g. Solve 0 = 4*x - 2*z + 3*z - o, 0 = x - 5*z - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/481 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000497960102 rounded to seven dps?\nAnswer: 0.0000498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/20 + q**4\/12 - q**3\/6 - q**2\/2 - q + 123. Let f(a) = -a - 2. Give f(d) - 2*t(d).\nAnswer: 2*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83163*b**4 - 7734 wrt b.\nAnswer: 332652*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 40 - 68. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/21))\/y**(-18))\/((y*((y\/(y*y\/(y\/y**(-4)*y)))\/y)\/y*y)\/y**(-2\/5)) assuming y is positive.\nAnswer: y**(1438\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 718.2 - 718. What is the nearest to 2\/9 in 0.5, 4, -1\/61, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/9*(35\/(-25) - -2). Let g be (1\/2)\/((-2)\/(-20)). Suppose 5 = -5*u + g*j, u - 2*j - 4 = -6*j. What is the nearest to -2\/3 in y, u, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 - 2*f - 2. Let r(z) = z**2 - z - 1. Let x(c) = i(c) - 2*r(c). Let k(u) = 9*u. Give x(k(l)).\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 280850, 280804, 280758?\n\"Answer: -46*r + 280896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18230*r**2 + 18231*r**2 + 2 - 36459*r**2 + 2236*r to i*r**2 + p*r + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -8415.2\nAnswer: -673.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -581?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/20659053 and -1\/9006?\nAnswer: 785044014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = -20*k - 27*k + 132. Sort -126, 4, k, 5.\nAnswer: -126, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 88*x - 291*x - 225*x + 154*x to the form v*x**2 + g + a*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 123, 229, 375, 561, 787, 1053?\n\"Answer: 20*w**2 + 6*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2459512 + -4748712. What is d rounded to the nearest ten thousand?\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24793183, 49586383, 74379609, 99172873, 123966187, 148759563, 173553013, 198346549?\nAnswer: 223140183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 51. Calculate r(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*1354547.\nAnswer: 149000.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 34 = 2*f, -t - 4*f + 4 = 0. Let m be (6000\/9)\/(t\/(-24)). What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 + 4.651. Which is the second smallest value? (a) 0 (b) 0.4 (c) 2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789395 smaller than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/61, -2, 1\/3 in ascending order.\nAnswer: -2, -4\/61, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnj when three letters picked without replacement from {q: 2, n: 1, j: 2, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/(-10)*(-7)\/(140\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = b, -3*b - 6 - 3 = 4*v. Let i be 16\/(-6)*b\/4. What is the units digit of (i\/3)\/2*93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*w - 13*w**4 + 0*w**3 + 14*w**4 - 11*w + 3*w**3 = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130220\/13 or -10016?\nAnswer: -130220\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5590550 divided by 7?\nAnswer: -798650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279668027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 22*l + 22. Let x be d(-10). What is the second derivative of 4*v**2 + 4*v + 14 - 54*v**5 - 2*v**2 - x*v**2 + v**2 wrt v?\nAnswer: -1080*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Let c = -557.7 + 559.7. What is the nearest to r in -0.2, c, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 395839, -89 in descending order.\nAnswer: 395839, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 7*f**2 + 7*f + 3. Let r be n(-8). Let x = 2724 - 24460\/9. Calculate the common denominator of x and -6 - (-1)\/r*40.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/8 - 2*k**2. Let s be x(-1). Let o be s\/5 + (-1199997)\/5. Round o to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3 - 878088*w**2 + 1756185*w - 878094 = 0.\nAnswer: -292698, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 8. Let u be m(1). Let q(o) = 4*o**3 - 3*o**2 + 2*o + 2. Let x(j) = -7*j**3 + 5*j**2 - 3*j - 4. What is u*q(p) + 3*x(p)?\nAnswer: -p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4414046 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -4, 26, 1, -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 16 + 109*v**2 - 110*v**2 to the form u*v + c + p*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14523 + -13811. Which is the closest to -1? (a) 2\/11 (b) -0.5 (c) r (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10809508 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/32)\/(8\/(-18)*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5002 * -0.3.\nAnswer: 0.15006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-76 - (11 + -14) - (-5 + 1))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 11*s**2 + 2*s**2)*(2*s**2 + 0*s**2 - 3*s**2).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 3)*1\/2. Solve y = 4*p - 13 - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 102331021133?\nAnswer: -102331021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {j: 1, v: 3, e: 1, n: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2104311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 - w + 61. Suppose 2*s = 3*s. Let k(d) = -d**2 + 9*d + 7. Calculate the remainder when m(s) is divided by k(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-18))\/((-2)\/(-6)). Let w be v - (-3)\/((-9)\/(-3)). Let f(a) = -a**2 + 7*a - 7. Let c be f(5). Which is bigger: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**3 + 0 + 1\/90*g**6 + 1\/18*g**4 + 0*g**2 - 41*g - 1\/63*g**7 + 1\/12*g**5. Determine l, given that r(l) = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 7. Let r = g + -9. Let y = -3 + 3.2. What is the biggest value in y, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46423, 47783, 49143, 50503, 51863, 53223?\nAnswer: 54583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 14*c**2 + 2*c + 14. Let y(g) = -g**2 - 11*g - 1. Let u be y(-10). Let t(i) = -i + 2*i + 9*i**2 + 0*i + u. Determine 5*o(b) - 8*t(b).\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88.987 - 89. Let j = i + 0.103. Which is the second biggest value? (a) -4 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = -8. Suppose n - 30 = -r*n. Suppose n + 2 = 4*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -129, -131, -133?\n\"Answer: -2*a - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*h - 2 = 0, -3*l + 0*l - 9 = 5*h. Suppose 0 = 2*f + 2*b + 6, -4 + 0 = l*b. Let c(a) = 10*a**3 + 2*a**2 + 2*a + 1. Give c(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 5:37 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.1 times -7631?\nAnswer: 306003.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 928 + 2972. Suppose -f = -2*k - 11*k. What is the remainder when k is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224859265?\nAnswer: 5, 113, 397981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -230, -227, -224, -221, -218, -215?\n\"Answer: 3*z - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*y**5 - 1 + (2*y**3 + 2*y**3 - 3*y**3)*(2*y - 2*y + y**2) + (4 + 5*y**5 - 4)*(-1 + 5 - 3) + 2*y**5 + y**2 - y**2.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:32 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 22*j**3 + 2*j**2 + 3*j - 4. Let z be m(1). What is the greatest common factor of z and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/9 + 11260*k\/3 - 33778\/9 = 0.\nAnswer: 1, 16889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 3:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 1. What is the closest to -2\/7 in 1, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1051810 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1303945 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 5, m: 2, w: 4}. Give prob of sequence whwa.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a - 42*a = 58717 - 167829. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2952 + -21?\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -1\/60*h**5 + 1\/6*h**3 + 1\/3*h**2 + 3 - h + 0*h**4. Let a(z) be the first derivative of d(z). Determine q so that a(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4043*z + 2143. Let b(o) = 4043*o - 2130. Let f(m) = -6*b(m) - 5*d(m). Differentiate f(t) wrt t.\nAnswer: -4043","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -243 - -258. What is the hundreds digit of 80\/k*-95*6\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 4 - -49)*-1. Let g = 46 + d. What is the nearest to -0.2 in 3\/8, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i + 8. What is c(27)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 - 112.88. Let n = c + -1.73. Let k = n + 0.61. Put k, -2\/21, 0.09 in descending order.\nAnswer: 0.09, k, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(3*z + 0*z + 0*z)*(8*z - 13*z - 7*z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*v + 25, -5 = -23*q + 24*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 1, w: 1, g: 1, p: 1, o: 1}. What is prob of picking 1 o and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r - 6. Let q be f(-2). What is the greatest common divisor of q and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3\/(2\/2). Differentiate 3 + 0 + 32*b + f with respect to b.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.5 - 3.5. Let k = -33 - p. Let d = 112 + -104. What is the nearest to k in d, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1024*s - 395152. Determine j(-386).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 2*q = 19*n - 10, 4*n = 3*q - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-four fifths of a gram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(147) + -1)**2 + 2)*4 + (sqrt(192) + sqrt(192) + (sqrt(192) + -1)*-1 + sqrt(192))**2 + 1 + (sqrt(24) - sqrt(24)*1)\/sqrt(8).\nAnswer: -24*sqrt(3) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328\/3161 or -1?\nAnswer: 328\/3161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 4248*j - 4189*j - 2.\nAnswer: 59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 19. Let g be 145\/30 - i\/(-6). Solve 0 = -4*y - 2*d - 8, d - 13 = g*y + 5*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = j - 16 - 9, -17 = -j - q. Let f = 3 - 3. Suppose -p + 12 = 3*d, p + 3 = 2*d - f. Solve 2*c - p = -j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let w = 24874 + -24878. Which is the closest to u? (a) 7 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371*h**3 - 7390*h**2*y**2 - 135*h*y - 9*y**2 - 2*y - 84 wrt h?\nAnswer: 2226*h - 14780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*l*m**3 + 6*l - 1206*m**3 + m with respect to l.\nAnswer: 66*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278569, 557143, 835723, 1114309?\nAnswer: 1392901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from iiiieiieiei.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2119 (base 13) to base 2.\nAnswer: 1000111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -78*k - 10. Let g(v) = -15*v - 2. Let q(j) = -5*g(j) + h(j). Let m(w) = -2 - 1 + 0 - 10*w**2. Give m(q(r)).\nAnswer: -90*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 164*m - 482. Calculate f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 20 = 0, 196 = 3*l - 0*l - 4*q. Let h = 85 - l. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.752223 decades to centuries.\nAnswer: 0.0752223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11684725721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11))**(-2\/49)\/((x\/(x*(((x\/(x*x**21*x))\/x)\/x)\/x*x*x))\/((x**(-12)*x)\/x)) assuming x is positive.\nAnswer: x**(-18853\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 7*m - 254. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 42129*n + 126386\/3.\nAnswer: (n + 1)*(n + 126386)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - z**2 - 6*z**2)*(4471*z**3 - z**2 - 2225*z**3 - 2221*z**3 - 2*z).\nAnswer: -50*z**5 + 2*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let t(y) = 1. Let x(v) = 19*v + 4. Let b(o) = o**2 + 6*o + 9. Let l be b(-4). Let k(q) = l*x(q) - 4*t(q). What is m(k(u))?\nAnswer: -361*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3172, 3205, 3246, 3295, 3352?\nAnswer: 3417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*l + 8977 + 9597 + 730 = -467*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 11*p**4 - 4 + 2*p - 12*p**4 + 13*p**3 - p**4 + 3 to j + n*p**2 + g*p**3 + l*p**4 + v*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -32\/9*l**3 + 3 - 6*l**2 - 7\/18*l**4 + 1\/90*l**5 + 0*l. Factor o(h).\nAnswer: 2*(h - 16)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -160278?\nAnswer: 160279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1690, 5, -1\/3, -12\/11 in decreasing order.\nAnswer: 5, 0, -1\/3, -12\/11, -1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 3.\nAnswer: 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.02, -672, 2\/21, -2\/11, 0?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257 - 256.6. Is 4\/3 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**3 - 18*p**2 - 200*p + 512. Let z(n) = 6*n**3 - 12*n**2 - 133*n + 340. Let k(j) = -5*m(j) + 7*z(j). Factor k(x).\nAnswer: -3*(x - 4)*(x - 3)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 873 - -28. Let l = r + -578. Let q = l - 146. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 7*h + 20*h - 9 as f*h + r and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 922.9899 nanograms in grams?\nAnswer: 0.0000009229899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10100000111110110011 (base 2) to base 3\nAnswer: -1020111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*c = 260 - 92, 2*l + 3*c = 99. Suppose -5*i + z = -3*z - l, 0 = -3*i + 4*z + 27. Suppose 4*b = i*b - 130. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - -1580. What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9900 and 6050.\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 12*s - 11. Let j be q(-7). Is -1 + 24454\/5 + j\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 4*r - 2 - 2*r**2 - 5*r**2 + 19*r**2 - 9*r in the form p*r + g*r**2 + q and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -13*y**5 - 2*y**3 - y**2\/2 + 32. What is the third derivative of f(m) wrt m?\nAnswer: -1560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*r**3 - 1262*q**2*r - 1712*r**3 wrt q.\nAnswer: -6*q**2*r**3 - 2524*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-73 - (64 - 24)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*u = 10, 2*k + 2*u - 2 = 8. What is the common denominator of (3\/(-42))\/(k\/118) and ((-342)\/32)\/((-24)\/16)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9814433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3199*k + 6872*k + 25944*k - 4157*k as g*k + y and give g.\nAnswer: 25460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 6784638*k - 6784641.\nAnswer: 3*(k - 2261547)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = -4*a + 279, -1025*a + 1023*a - 20 = 2*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -1\/10*x**4 - 1 + 2\/5*x**3 - 3\/5*x**2 + 2\/5*x. What is v in z(v) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42437 or -6.14?\nAnswer: 42437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = 0, 3*l = -4*s + 808. What is the remainder when s is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 17, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 27367632.\nAnswer: 27367632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Let n(j) = -j - 2. Let f(g) = -2*g + 2. Let c(d) = -f(d) + 3*n(d). Calculate x(c(z)).\nAnswer: -2*z**2 - 32*z - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58714981.\nAnswer: 13, 67, 67411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:09 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.131964 centimeters to micrometers.\nAnswer: 61319.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:04 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-1382.866.\nAnswer: -152.11526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0 + 0)*(41 - 4 + 915*f - 919*f) in the form g + y*f**2 + j*f and give j.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllv. What is prob of sequence llv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25240 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3054, -5766, -8130, -10146, -11814, -13134?\n\"Answer: 174*l**2 - 3234*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498 times -44?\nAnswer: 65912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 10}. What is prob of picking 2 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*i**2 - 79*i**2 - 58*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25674574 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 47*k - 2413. Let q be b(78). Solve 28 = -q*i + n, -2*i - 16 = -n - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3\/2*a**2 - 10*a + 12. Differentiate c(t) with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**2 - 2*f**2 - 53*f**2 - 8*f**2 in the form l + t*f + p*f**2 and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-226 + 303 - (8 + (2 + -8 - -1))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135625955 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3962)\/(-70) - (-3)\/((-30)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -822 (base 12) to base 14.\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**4*w - v**2*w - 2*v*w + 6*v + 926*w - 3 wrt v?\nAnswer: 4*v**3*w - 2*v*w - 2*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 49 + 11)*(-22*d - 313 + 631 - 316).\nAnswer: 990*d - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 317342849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**7\/189 + 8*f**6\/135 - f**5\/6 - 25*f**4\/27 + 44*f**3\/27 + 8*f**2 - f + 3773. What is a in v(a) = 0?\nAnswer: -9, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -8, -1827, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11537 + -11539 + (1 - (-18 - -2 - -2 - 1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2. Let u(n) = 2*n**2 + 2*n - 2. Let p be u(-2). Let s(j) = 18*j - j**p - 18*j. What is z(s(m))?\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/50, -9, 2 in increasing order.\nAnswer: -9, -1\/50, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 991 and 6465284.\nAnswer: 6465284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9506)\/(-63) + 4*4\/144. Let w = 155 - q. Solve 0 = 5*f + n - 5, 0 = f - 0*n - w*n - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2000131?\nAnswer: 2000130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1439 times -79.6\nAnswer: -114544.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 9*p + 9. Let b = 4 + 2. Let l be f(b). Let j = 38 - l. Calculate the remainder when 31 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 - (-301)\/4. Let s(d) = d**3 + 31*d**2 + 23*d - 75. Let y be s(-30). Suppose y = 10*t - t. Calculate the highest common divisor of t and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 = -1. List the prime factors of (2 - -51)*(i + -5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48251?\nAnswer: 7, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1878 and 74754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41947 + 41983. Suppose 6*r - c - 1\/4*r**2 = 0. What is r?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 5*q - 1. Let w be n(6). Solve -3*x - 2 = -c, 2*c - w = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 6*y**4 - 3*y**4 + 4*y**4 + 5*y**3 - 5*y - 2*y**4 - 5*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 18. Let u be (28\/(-3))\/(2\/(-3)). Let c be s(u). Let x be (5\/c)\/((-2)\/88). Round x to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8171.755415 + 7941.2878. Let r = 0.401385 - z. Let f = r - 231. Round f to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101376510107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -336*f - 365. Is i(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 109. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 1680. Let k be 0 - 32*(19 - 9). Let r = v + k. Calculate the greatest common factor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**7)\/h**(3\/8))**(21\/8)\/(h*h*h*h**2*h*h*h*h**(1\/4)\/h)**(-11\/6) assuming h is positive.\nAnswer: h**(-661\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 4.4, -91, 6, -1 in increasing order.\nAnswer: -91, -1, 3\/4, 4.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11*n - 8*n + 0 - 9*n.\nAnswer: -28*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 644 = -2*l - 392, -1563 = 3*l + 3*q. Let u = -272 - l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 38*y**2 - 112*y - 2. Calculate c(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 11, -51, 0.5, 0.17?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 2:37 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 1, j: 4, a: 6}. Give prob of picking 1 o and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2699 - -2701. Solve -3*t - j*m - 1 = 2, 3*m - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/24*(-16)\/6. Suppose -1 = -v - r, 4 = 4*v + 2*r - 6. What is the closest to 0 in m, -2, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1 + (2 - 1 - 3)*(2 - 2 - 1) - 2 + 1 + 4)*(3*b**5 - 7*b**5 + 3*b**5).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 0, -o = -6*o - j + 2096. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -122*o - 8455. Give f(-70).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491742453.\nAnswer: 3, 43, 1499, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, y: 2, e: 2, v: 11}. Give prob of sequence ev.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/424165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -900*m**2. Let z(d) = -114*d**2. What is o(z(b))?\nAnswer: -11696400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 53760 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 0, 4*m = 3*m + 2*v - 4. Let f = -6 + m. What is the units digit of (-3)\/(-6) + (-21)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1909013 equal to -1909049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-1624)\/(-12))\/(5\/(-4875)). What is f rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -42. Let r(k) = k**3 + 6*k**2 - 10*k - 2. What are the prime factors of r(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276594, -276595, -276596?\nAnswer: -276597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 6\/10*-2. Let g = 429.54 + 0.46. Let i = g + -430.06. Which is the third smallest value? (a) t (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:11 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*l - 17 - 8*l**4 + 44*l + 0*l + l**3 + 25*l**4 as f + k*l**4 + g*l**3 + u*l**2 + n*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661297303.\nAnswer: 67, 1951, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 32. Let w be z(-14). Put -0.1, -0.3, w in decreasing order.\nAnswer: w, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6)*62853\/(-146).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9569 + -19?\nAnswer: 9550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2137*t - 174*t - 6419 + 18197 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 16.9, -14107?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i. Let u(p) = -3*p. Let f(x) = -2*h(x) + 4*u(x). Let q(j) be the first derivative of -j**2 - 22. Give q(f(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 - 7*k + 12. Let n be q(-4). Let p be (2 - (-2)\/(-1))\/(25 + n). Suppose -7*g + g + 3000000 = p. What is g rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319039856.99999964 - -319039849. Let c = -8 - r. What is c rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*a - 4532 = 9743 + 7407 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32b529 (base 13) to base 7\nAnswer: -13111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.421 - 2.40571. 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*i - 5*z = 2221, -3*i - 1632 = -0*i - 3*z. What is the remainder when 1*i\/(-6)*(-4)\/(-3) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 7. Let x be q(6). Suppose 0 = -2*i + 11 - x. Suppose -v - 17 = -i*s, 0 = -2*s - v - 2*v. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddkdnnvvnn. Give prob of picking 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 3\/4*i**5 + 35\/24*i**4 + 26*i**2 + 0 + 1\/42*i**7 + 5\/3*i**3 + 5\/24*i**6 + 0*i. Suppose r(l) = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-54)\/243 + 22\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 17*s**2 + 3*s - 3*s**2 + (1 - 1 + 2)*(0*s**2 + s**2 + s**2) + 4*s**2 - 2*s**2 - 4*s**2.\nAnswer: 11*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 177 + 147 = -4*t, 4*l - 101 = 4*t - 65 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 26676?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 307629419?\nAnswer: -307629401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**3 - 1605*t**2 - 66561*t + 22365.\nAnswer: 3*(t - 213)*(t + 35)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/611 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(3))\/sqrt(3))\/(3*1*sqrt(2)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 816827087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -7867 + 8093. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.393 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -0*t + 10*t. Is t at least as big as 1\/1773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = 4*w - 167, 9 = 3*a. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30754 = -27*f + 85321. What are the prime factors of f?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b**5\/11 - 16464*b**4\/11 - 51402*b**3 - 2487486*b**2\/11 - 2071644*b\/11 - 483600\/11 = 0.\nAnswer: -650, -31, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - h**2 - h - 1. Let p be v(-2). Let z = p + -9. Suppose 4*l = -3*u - 7, -5*u + z*u + 15 = -3*l. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Suppose -i - 4 = 0, 0 = -2*x - 3*i + 30 - 32. Solve 3*d + b + w + 0 = 0, -x*d = -5*b + 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*z - 19*z + 82*z + 34*z + 59*z.\nAnswer: 223*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9981 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - 11*k - 129. Let a(n) = -n**3 + 3*n + 32. Calculate 22*a(l) + 6*f(l).\nAnswer: 2*l**3 - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608 < 61314\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o + 2. Let k(q) = -2*q + 1. Let f(w) = -6*k(w) + r(w). What is f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)*z\/z**0)\/((z*z*z**(1\/5)*z)\/z**(-3))*(z**1*z)**(-1\/26)\/(z**0)**(-48) assuming z is positive.\nAnswer: z**(-356\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 80 = -5*y, q - 73 = -4*y - 4*q. Let f be (6 - (-2 + 4)) + -22. Let r be ((-6)\/(-2))\/(f\/24) - -76. Calculate the highest common divisor of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.9 - 32. Let b = 2 - d. Let f = 4142 + -4146. What is the nearest to b in -5, f, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:27 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:58 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**4 - 94*y**2 + 2*y + 9044.\nAnswer: -12*y**3 - 188*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.4778 to 0 dps.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 552011 (base 6) to base 11\nAnswer: 31456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, p: 3, l: 2, w: 3, z: 1, b: 2}. Give prob of sequence pkk.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(243) - (sqrt(243) + sqrt(243) + sqrt(243)*1)))**2 + 2*sqrt(3)*-1*6.\nAnswer: 96*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501413833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145544481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 4.7137156.\nAnswer: 23.568578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6720*x**2 - 2663*x**2 + 8558*x**2 + 1025*x**2.\nAnswer: 13640*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = n, -2*c = -8 + 2. Suppose -3*r + 83 = -o + r, n = 4*o + 4*r + 292. Let q be (6\/o)\/((-72)\/(-15)). Is 0 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1821.22*-1.1.\nAnswer: -2003.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -59, 0, 2 in descending order.\nAnswer: 9, 2, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 5*y**2 + 17*y\/2 + 4.\nAnswer: (y + 1)**2*(y + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g + g + 2 - 2. Let p(l) = -l**2 + 2*l. Determine -4*f(h) + 2*p(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2 + 3*j**2 + j**2. Let o(h) = -h**2 - 4*h - 4. Let u(s) = -10*s**2 - 35*s - 35. Let k(q) = -35*o(q) + 4*u(q). Give -5*k(x) + 8*y(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - k - 12 = -0*k, 0 = 3*c + 2*k - 16. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -1786, -4412, -8078, -12778, -18506?\nAnswer: -25256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1263 - 1262.99995031. Round i to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - -1*(sqrt(125) + 4) - (-5 + sqrt(125) + 0))*1)**2 + -2)*-1.\nAnswer: -204 - 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 14. What is the remainder when 16\/(-24) + 50\/3 is divided by 7*1 + u\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 - 3460*i - 3465 = 0. Calculate i.\nAnswer: -1, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 4, 5.11, -102?\nAnswer: 5.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (40 + (3 - 13))*96\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238377033.\nAnswer: 739, 1675747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6675503mg?\nAnswer: 0.0006675503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 11. Let x be (-6)\/(-9) - (-85)\/(-15). Let w(t) = -68 + 109 - 53 - t. What is x*w(h) + 6*n(h)?\nAnswer: -h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*z + 3622 - 3622 to the form g + j*z and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28577999809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86428\/(-3196) + 2 + 25.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-103)\/309*-9*1*(-2)\/(-24). What is the closest to 0.2 in -1\/4, z, -86?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22293 and 12385.\nAnswer: 111465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/27 and -5\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 969 = 9*g. Calculate the remainder when 316 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 239*u**2 + 616*u - 729. Let r be o(122). Find p such that 2\/9*p**r + 2\/9*p + 4\/9*p**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4 - (-6 - 16)\/(1\/57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301352255 (base 6) to base 11.\nAnswer: 8638156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*k**2 + 91*k**3 - 51*k**2)*(k + 1 - 1)*(-2*k + 3 - 3).\nAnswer: -182*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-42.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7259 (b) 1 (c) 44180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.056 + -3.356. Let r = x + -0.7. Let d = 0.01 + 1.99. Which is the smallest value? (a) 0 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 260 - 312 = -g, 5*n - 25 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 943.1311g?\nAnswer: 943131100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14136)\/22971*(-975)\/12?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(110) - ((3*(sqrt(110) - -2*sqrt(110)) - sqrt(110)) + sqrt(110)))*6)\/((sqrt(120) + 5*1*sqrt(120))\/(2*sqrt(1728))).\nAnswer: -456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifths of a century in months?\nAnswer: 5280","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 1\/4 (c) 1 (d) 122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345*u**5 + 9*u**3 + u**2 + 444*u?\nAnswer: -20700*u**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.438, 0.4, 0.08, -0.67, -3\/8?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.1 (c) -2\/15 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 3 + 4*i - i**2 - 3*i + 1. Let s be a(-3). Suppose -s*o + 2*y = -46, -o = o + 5*y - 41. What is the greatest common divisor of 143 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2173\/3 - -723. Put 0.3, 22, n, -3, -4 in descending order.\nAnswer: 22, 0.3, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -12 + 28, 5*i + 12 = -4*m. Let y = -14 - -13. List the prime factors of (m\/(-20))\/(y\/(-25)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-4) - 1*(-11)\/44. Suppose -5*t = w*i - 4582, 0 = 2*t - 27*i + 28*i - 1834. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-120) + (-31801)\/(-885).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43575403, 87150805, 130726207, 174301609?\nAnswer: 217877011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688828404 to the power of 1\/2, to the nearest integer?\nAnswer: 26246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0 - 1\/40*b**6 - 1\/6*b**3 + 0*b**5 + b**2 + 0*b**4 + 0*b. Find the first derivative of r(d) wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -166\/7, -13, 3 in decreasing order.\nAnswer: 3, -13, -166\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 35 = -w - 4*z, -w + 4*z + 13 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-1)\/((-3)\/(-9)). Let y(l) = -2. Let c(s) = s + 18. Let v(k) = -c(k) - 6*y(k). Calculate v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/6*(-3)\/(-2). Let c = -15 - g. Solve -3*l = 4*r - 13, -c*r + 3 = -2*l + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0*x*x\/(x\/x**(-9))*x**(-6)*x**(-12)*x assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:14 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 10 + 98. Let o = 877 + -873. Suppose -4*b - w = 3*w - 384, -3*w + 384 = o*b. Calculate the greatest common divisor of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 8*c**2 - 7*c + 5. Calculate j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 356*b + 20270. What is n(-57)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 714602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 + 4*c - 2. Let x be v(3). Is x <= -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -10*u + x, -4*u - 5*x + 32 = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/151 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-292)\/(-4)*1. Let y = 14993\/672 + 5\/224. What is the common denominator of y and ((-6)\/8)\/(c\/(-128))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528 - -0.13735708823?\nAnswer: 5528.13735708823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2344482*i - 49234127. Calculate p(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wly when three letters picked without replacement from {l: 3, w: 3, y: 7, e: 1}.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 1:25 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*t + 20, -2*t + l = -15 + 4. Suppose 2*n - t = -k + 1, 10 = 2*k. Suppose n*a - 3 = 1. Solve 0 = 5*j + 3*i - 26, -3*j - a*i + 12 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -17, -4, 1.8, 5 in decreasing order.\nAnswer: 5, 1.8, 0.4, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Let x = 32 - 12. Suppose u*l + 8 = x. Solve l*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7811, 5, 4\/15, 1.\nAnswer: -3.7811, 4\/15, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:21 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 6942.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:18 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-12)\/(-45)*21)\/(7 - 9). Solve 96\/5*d**2 + 4\/5*d**3 + p*d**5 + 0 - 24\/5*d**4 + 64\/5*d = 0 for d.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 633.794 + -634. Sort y, -3, 1 in increasing order.\nAnswer: -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.236642 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-10))\/(476\/1505) and 97\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 7 + 3)*(0*r - 3*r + 2*r + (-1 - r + 1)*(108 + 140 - 110) - 5*r + 3*r + 0*r) in the form j + w*r and give w.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -24. Suppose -2 = 2*i, 318 = 3*w - v*i - 427. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 384. What is the units digit of -1 - (f\/(-5) + 4\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*c + 3*c - 15, -14 = -3*b - 4*c. Find the third derivative of 87*q**b - 2 - 934*q**2 + 2 + 830*q**2 wrt q.\nAnswer: 10440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let k(y) = 456*y**2 + 4*y + 10. Let p(q) = -460*q**2 - 5*q - 12. Let o(c) = -6*k(c) - 5*p(c). Give o(u(j)).\nAnswer: -436*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699\/4 - -176. Solve g*t**5 + 0*t - 1\/2*t**2 + 1\/2*t**4 + 0 - 5\/4*t**3 = 0 for t.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(114)\/sqrt(6) + sqrt(171)\/(sqrt(9)*3) - (-5 + 1*sqrt(1216) - -1*sqrt(1216)*1))**2.\nAnswer: -704*sqrt(19)\/3 + 37360\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gljflglqjljl. What is prob of sequence gg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/11, -32.1, 7\/9.\nAnswer: -32.1, -21\/11, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s - 8007 = -5*h, 2*h - 3*s = 3212. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1554 (c) 14226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 581998*u**6 + 1522751*u**2 wrt u.\nAnswer: 69839760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333544, 333483, 333324, 333019, 332520?\nAnswer: 331779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.08 (b) -0.1 (c) 2\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 144919505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -189690 (base 10) to base 13\nAnswer: -68457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 154862.\nAnswer: 1\/154862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-8 - (16 + -36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 60 = -2*x, -5*k + x + 2*x + 65 = 0. Let p be (6 - 0)\/(4\/k). Suppose j = -3*d + p, 5*j - 6 = 4*d + 31. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 20 + 935*s - 21 + 460*s - 823*s + 1810*s.\nAnswer: 2382*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/66 and (-385)\/(-60) + 95\/(-19).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51\/4*v + 27\/4*v**2 + 1\/4*v**3 + 25\/4.\nAnswer: (v + 1)**2*(v + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (9\/(-3))\/3 - -40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/(2249\/(-104) - -22). Let v = 1 + 2. Solve v = -b - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20998098 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 277, 498, 719, 940, 1161?\n\"Answer: 221*i + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 - 79 = 0. Let d(t) = -t**2 + 29*t + 29. Let f be d(v). Which is greater: f or -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - v**2 - v. Let o(w) = -9*w**3 + 7*w**2 + 6*w + 3. Let n(b) = -4*i(b) - o(b). Let z be -3 - 2\/4*0. Let g be (6\/9)\/(1\/z). Calculate n(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + o**2 + 2*o + 1. Let i be (-7 - (-2 + -2)) + (-12)\/(-2). Suppose -7 = -l - 4*g, 9 = 5*l + i*g + 8. What is x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcl when three letters picked without replacement from iawlcly?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*h**2 - 17856*h + 67536.\nAnswer: 4*(h - 402)*(11*h - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7.3. Let h = 0.19 - 0.29. What is the smallest value in t, 0, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 66140*u + 1590240.\nAnswer: -5*(u - 24)*(u + 13252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w)**(-16\/3)*(w*w**(4\/3)*w)**45 assuming w is positive.\nAnswer: w**(370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -196*y**5\/15 - 5*y**4\/24 - 143*y**3\/6 - 301*y**2. Find the second derivative of v(s) wrt s.\nAnswer: -1568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -798996*d**3 + 21564010*d.\nAnswer: -4793976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -1. Let q = f + -8. Suppose -2*z - 25 = q*z. Let s(p) = -2*p - 1. Calculate s(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 o when three letters picked without replacement from {j: 1, l: 1, f: 2, o: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5441*k**2. Let y(p) = -p. Determine w(y(b)).\nAnswer: -5441*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.818, 0, -18, -4, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09214, -0.127, 3\/7?\nAnswer: 0.09214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 12. Let l be v(16). Let g = l - -39. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 256347?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7542*d = 7047*d + 11385 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 37 + 19 + 298*n in the form m + j*n and give j.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155.12 - 155.1217158. Round h to 5 decimal places.\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 - -108. Put v, 0, -4, -5 in ascending order.\nAnswer: -5, -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/104 - -2*3\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*o*y + 4*c**2*o + 2*c**2*y - 26*c**2 - 497*c*o*y - 2*c - 2*o*y wrt c?\nAnswer: 4*o*y + 8*o + 4*y - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49 (b) -0.2 (c) 4 (d) -9 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 22*n**3 + 7704*n**2 - 29752*n - 5664 = 0.\nAnswer: -354, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Suppose h = 2*x - 0 - 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 9751.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 80 + 110 = 0. Solve -p*o + 1 = 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:46 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-24))\/2*168\/8. Let h(l) = -l**2 + 18*l - 5. What is h(g)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/25840 and -71\/30.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22825, -45651, -68477, -91303, -114129, -136955?\nAnswer: -159781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 7525043?\nAnswer: -7525041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-4)*q*q)\/q)\/q)\/q**(-4))**(5\/3)\/((q\/q**(-1\/3))\/(q\/((q*((q**(-2\/5)*q)\/q)\/q)\/q))*((q**0\/q)\/q)\/q**(-2\/13)) assuming q is positive.\nAnswer: q**(568\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -97. Suppose 5*n = -0*n + q - 3, 5*n + f = 4*q. Determine l, given that 0*l - 3\/4*l**5 + 5\/4*l**4 + n + 0*l**2 - 1\/2*l**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2596 = 232*a + 1116 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7223 not equal to 7192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 795528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 28 = -4*g, 49*g = -3*l + 51*g - 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -n + 9, 57*g - n = 58*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v**2\/13 - 8048*v\/13 - 2682\/13 = 0. Calculate v.\nAnswer: -1341, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvaswwiawaaaaas. What is prob of sequence as?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15*p + 19*p - 5 = 0, -p + 2 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 611 - 390. Let m = o + -116. Suppose 5*t = 30 + m. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7797026 to the power of 1\/2, to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1 = -15*x + 16*x, 0 = -n + x - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 252\/(-70))*(-42890)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 35, -12, 5, 45, 9 in descending order.\nAnswer: 45, 35, 9, 5, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28438\/2169*54\/12.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212168, 424336, 636504, 848672, 1060840?\n\"Answer: 212168*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-15))\/(1\/(-1)). Let j = -9.262 + 9. Let i = 0.038 - j. Which is the nearest to i? (a) -0.2 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 3759. Let l(o) = -12*o. Determine j(l(g)).\nAnswer: -72*g - 3759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (29 - 28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 - 99501*h\/4 + 24875 = 0. Calculate h.\nAnswer: 1, 99500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 84 + 3*m + 284*m**2.\nAnswer: 284*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89552 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -4. Let t = j + 0.4. Let x = 0.6 - -0.4. Which is the nearest to t? (a) -5 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1271608, 2543241, 3814888, 5086555, 6358248, 7629973, 8901736?\n\"Answer: r**3 + r**2 + 1271623*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6295.\nAnswer: 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:10 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/7 + 150*n**4\/7 + 3016*n**3\/7 + 7176*n**2\/7 - 1728*n - 31104\/7 = 0. Calculate n.\nAnswer: -36, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1865 and 0.01?\nAnswer: -18.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 3*b**2 - 6*b**2 - b**2 - 2*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2011, 16056, 54195, 128500, 251043, 433896, 689131?\nAnswer: 1028820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2473\/9764 - -8\/2441. What is the nearest to 3 in j, 195, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 4. Let x(k) = -9*k**2 + 20*k - 78. Let l(d) = -14*i(d) - 2*x(d). Factor l(g).\nAnswer: 4*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -28, -7, -0.2, -239, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 11*h**2 + 6*h + 13. Let p be k(6). Round p to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 265373 = -n - 54464, -2*r = -8. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -d45c?\nAnswer: d453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367.8 * 0.31.\nAnswer: -114.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 17.35. Let p = 0.05 + l. Put -2\/7, p, 2 in ascending order.\nAnswer: p, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0, -1\/7, 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 89*y**2 + 2 + 44*y**2.\nAnswer: -45*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.83325772 - -1987.17166828. Let h = m - 2005. Let v = h - 0.005. Round v to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -20. Suppose -1 - 4 = b. Let w = b + p. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000096 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b. Suppose -20 = 3*f + 1. Let l(a) = -4*a**2 - 3. Let o(k) = 22910975 + 4*k**2 - 22910968 + 5*k**2. Let c(i) = f*l(i) - 3*o(i). Determine h(c(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 0 + 23*a**2 + 22.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 52*y = 228 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - r**2 + 14*r - 16. Let i be l(2). Let c(f) = -f**2 - 10*f - 7. What is c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8957 is divided by 4665.\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1289 - 37 = -3*c, -z = -4*c + 1768. Calculate the remainder when c is divided by 155.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-2 + (-1368)\/(-682)). Calculate the common denominator of 59\/28 and 3\/(-14)*p\/(-792).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -1872?\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 178 times 1193419\nAnswer: 212428582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 133008220, 133008224, 133008232, 133008244, 133008260, 133008280?\n\"Answer: 2*c**2 - 2*c + 133008220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:25 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 1548 - 1141. Let y(v) = 4*v. What is the remainder when u is divided by y(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/19 - 5306*i**2\/19 + 3521856*i\/19 - 3516552\/19 = 0. Calculate i.\nAnswer: 1, 1326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5657742, -5657741, -5657740, -5657739, -5657738?\n\"Answer: t - 5657743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 - 5) - (5 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 1. Let s be t(2). Suppose 0 = -4*a + s*a - 7. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 34*l**2 - 42*l**2)*(l**2 - l**2 - 2*l**3).\nAnswer: 156*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34386530.\nAnswer: 2, 5, 997, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8750 + -6185. Calculate the highest common factor of o and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/20 + 74\/40. Is 2 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 6. Let f(q) = -3*q + 8. Let y(a) = 2*a - 5. Let x(d) = 5*f(d) + 8*y(d). Let w be x(6). Let t be p(w). Sort 1, 6, t.\nAnswer: t, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - 1) - -8 - (14 + -83 + -25)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43104 + 145251 - 64070 = 2068*n - 109399 for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - ((166 - 63) + (-22 - 1))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/12 - 5*a**3\/3 + 3*a**2\/2 - 77*a - 7. Let k(f) be the first derivative of d(f). Calculate k(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -12. Suppose r = 5*s - 7 - 8. What is the first derivative of -2*g**s + 1 - 8 + 13*g**3 wrt g?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 7:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41486169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331992 and 1084698?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 37*j**2 + 8*j - 220. Let r be i(-19). Let q(p) = -p + 27. Calculate q(r).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k + 121. Let j be t(-9). Calculate the remainder when 38 is divided by (-27 - -3)*(-2 + j\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, h: 1, w: 1, k: 1, i: 1}. Give prob of picking 1 i, 1 k, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/235 (b) 1.826 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 16*h**2 + 18*h - 19. Let a be w(17). Is 2\/(-2)*4615\/(10\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/9 + 2980\/36 + 3 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -1\/3*u**3 + u**2 + 61 + u. Suppose -6*t + 4*t + 30 = 4*x, 5*t - 3*x - 10 = 0. Calculate j(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220708*b = 220296*b - 13631 + 65131 for b.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -34*b + 417. Calculate the remainder when 36 is divided by s(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h*(h*h*h*h*h*((h**2*h)\/h*h)\/h)\/h)\/(h*h**(-1)*h**5))\/(h**(-2\/5)\/(h*(h\/((h\/(h*h**(-7)*h))\/h))\/h*h*h))**(-7\/3) assuming h is positive.\nAnswer: h**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -4, 21\/8, -1\/2?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/36*(-1 - 2). Let i(v) be the third derivative of 0 - 1\/60*v**5 + 0*v - 1\/6*v**3 + v**2 - c*v**4. Factor i(f).\nAnswer: -(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:47 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -3, 2\/165, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**4 - 9*l**3 - l + 1042?\nAnswer: 108*l**2 - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let u(c) be the third derivative of -c**5\/12 - 7*c**4\/8 - 473*c**2. Give u(n(f)).\nAnswer: -20*f**4 + 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcgggpdqgc. Give prob of picking 1 q and 1 c.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 7*i**2 - 24*i - 11. Let b(z) = z**3 + 3*z**2 - 12*z - 5. Let j(d) = -7*b(d) + 3*f(d). Let u be j(-5). Is u*(-5)\/(-25)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1082 - -472. What is the remainder when x is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 11166*m**2 - 22328*m.\nAnswer: -m*(m - 11164)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2221, 2234, 2247, 2254, 2249, 2226, 2179, 2102?\n\"Answer: -k**3 + 6*k**2 + 2*k + 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122005 is divided by 23751?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 173, -5, 101, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1636084872 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.063 - 0.12. Let k = b + 0.057. Let u = 0.6 + 0.4. What is the third smallest value in -5, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*((-12)\/(-14))\/((-51)\/((-34272)\/256))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/((-272)\/19220))\/(-6). Let q = 20\/51 - d. Find the common denominator of q and 1 + (-3)\/(-6) - (-2032)\/192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 24. Let t(b) = b**2 + 3*b. Let f = -2 + -1. Let d be t(f). What are the prime factors of u(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196088 < 196086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5676 (b) -4 (c) -2\/7 (d) 3 (e) 0.05 (f) -5 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 26 - 108 - 120)*(-4*n - 2*n**3 + 4*n).\nAnswer: 558*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 654396 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -35, -x - 4*p + 48 - 16 = 0. Let r(a) = -a**2 - 12*a. Let f be r(-10). Calculate the highest common divisor of x and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9161775 and 16380?\nAnswer: 476412300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 + 137. Is -10 - (-29)\/3 - 38996\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (1 - (-4)\/(-1)). Is i > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 3*i**3 - 5*i**2 + 15*i**2 + 42*i**3.\nAnswer: 39*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = -4. Put -3, n, -1 in increasing order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1372, 1360, 1340, 1312, 1276?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -505069885\/12012 - -546606\/13. Let b = 200\/31 - 15214\/2387. Let n = v + b. What is the common denominator of 101\/8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**3 - 33*q**3 + 55*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 45 + 42 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/110 and -19\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 6*l**2 + 15*l - 55. What is the remainder when 1819 is divided by r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 9*t**2 + 14*t - 1. Let f be y(-8). Which is the closest to 1? (a) 0.3 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-50)\/(-8))*(-5)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 11*q + 28. Let b be d(13). Solve -m = -5*k - 2*m - 16, b*k + 3*m - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 471694093 and 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3857 - -1?\nAnswer: -3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 9) in base 2?\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71149 (base 12) in base 8?\nAnswer: 437211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79517369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19345 - 681816.\nAnswer: -662471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 1306867665 + 1306867665.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(12\/24). Let n = -40 - -66. What is the remainder when k - -100 - (-34)\/17 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6128, -6023, -5930, -5855, -5804, -5783?\nAnswer: -5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00231966 rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 246\/11, -6, -0.06, -3\/8, 4, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-16)\/(-12)) - 0. Sort x, -5, 2\/9 in increasing order.\nAnswer: -5, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 48912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 719701133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1509*a + 1508*a = 3. Sort 4, a, -31, 0, -5.\nAnswer: -31, -5, a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2386*d + 461. Is p(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x**2 - 4 - 4*x**2 + 3 - 9*x**2. Let c be (1 + -3 + 6)\/2. Suppose -5*p - 9 = -c*n, p + 0*p = -4*n + 7. Determine s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10600)\/(-44520))\/(1\/(-3))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1980 and 0.2?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2027, 2029, 2031, 2033, 2035, 2037?\n\"Answer: 2*m + 2025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 - -287. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/200 and 86\/1275?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 618 - 706. Which is smaller: -91 or o?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333132 (base 4) to base 12.\nAnswer: -2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10333001 (base 4) in base 12?\nAnswer: b995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = -2*q, 8*a - 7*a = 5*q - 17. Let v(g) = 6*g**2 - 20*g + 10. Let x be v(q). Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**3 - 41*m**3 + 3*m**2 - 3*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 + -0.2. What is the smallest value in 2\/9, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 255 = 1533. Suppose -15*w = -9*w - i. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5748 and 6084.\nAnswer: 2914236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(3\/7)*(r\/((r*r*(r\/(r*r*r\/(r*r**(2\/7))))\/r)\/r))**(-7\/3))**(-8))**(-2\/5) assuming r is positive.\nAnswer: r**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5422651 and -708.\nAnswer: -5423359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -308804 times 0.4\nAnswer: -123521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(28)\/(sqrt(64) + sqrt(4))*-2 - (sqrt(84)\/(sqrt(3) + -2*sqrt(3)*-2 + sqrt(3)))**2.\nAnswer: -7\/9 + 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8408.914nm to micrometers.\nAnswer: 8.408914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 59, 86, 99, 92, 59, -6?\n\"Answer: -m**3 + 2*m**2 + 36*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -29\/2, 307, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 - 5*k**2 + 5*k**2 - 2*k**3 + 3*k**3 - 2*k**3 + (-1 + 1 - 1)*(3*k**3 + 0*k**3 - 2*k**3) to f*k**3 + w + t*k + c*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**7\/1260 + g**6\/180 + g**5\/60 + g**4\/12 - 17*g. Let z(k) be the third derivative of f(k). Find s such that z(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29890 and 38361680.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 0.16 (c) -1\/6 (d) 585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1395\/140)\/((-1)\/(-8))*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1031112?\nAnswer: 1031112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 199 = 55. Let b = 21 - m. Is 86\/((-6)\/b) + -2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 632 (b) 3 (c) 1\/9 (d) 1 (e) -3 (f) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15220 (base 8) to base 12\nAnswer: -3b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**7\/24 - 29*u**6\/60 - 71*u**5\/40 - 3*u**4\/4 + 63*u**3\/8 + 27*u**2\/4 + 15*u. Determine a so that g(a) = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 967.3068 grams in micrograms?\nAnswer: 967306800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 510, 449, 352, 219?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f - 0*f. Suppose 4*q - 8 = 5*k - 2, 12 = -f*q - 4*k. Let u(s) = 379*s**2. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 4\/3 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 46\/5, 2 in descending order.\nAnswer: 46\/5, 2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 124020\/6240 + 9\/8\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64.12 + 63. Let k = c - -0.72. What is the closest to 2 in -0.2, k, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 + 2 + 144 + (2 + 0 + 1)*(2 + 1 - 4))*(-m**2 + m**2 + 2*m**2) + 0*m**2 + 4*m**2 - m**2 as a + n*m + c*m**2 and give c.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/12 and 59\/42592.\nAnswer: 127776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 52. What is the fourth biggest value in -3, d, -3\/4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*3)\/(-2) - 1. Suppose 24 - 4 = -5*j - 5*k, -8 = -4*j + p*k. Suppose 3*b - 5*n + 3 = 26, n - 2 = j. What is the remainder when 32 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44428 or 44430?\nAnswer: 44428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/7)))**31\/(m**1*m**(-1\/3)) assuming m is positive.\nAnswer: m**(-200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-2 + 20)\/3). Let x = 1 - -3. What is the second biggest value in x, z, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139072 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 26 + 12)*(8 - 3 + 0)*(-r + 2*r + 8*r).\nAnswer: -1620*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73.986 + 4049.147.\nAnswer: 3975.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 12529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**24\/(x*(x\/(x\/(x\/x**(-1))))\/x*x*x*x*x*x\/(x*x\/(x\/((x\/(x*x**(2\/3)))\/x))*x)))\/(x**(-6)\/x**(-4\/5))**(-2\/59) assuming x is positive.\nAnswer: x**(-27296\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -39) + -43 + -1 + -59?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 450 - 116. Let u = 464 - b. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -9, -2\/7, -0.1, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11900 and 8500?\nAnswer: 59500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - v = -41, y + 6 = -0*y + 3*v. Suppose 2*j = j - 174. What is the tens digit of ((-6)\/y)\/(4\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/688)\/((-1083)\/(-8664)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*y - 4*v, 3*y + 2*v + 3 = 42. Suppose -1035 = -y*f + 681. Does 56 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-16)*-10)\/(5\/(-90)) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-2) + 6)\/(2\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2922667, 2922675, 2922683, 2922691, 2922699?\n\"Answer: 8*d + 2922659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(70\/(-15) - -4). Let f(o) = 57*o**3 - 9*o**2 + 25*o + 5. Is f(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -973*d**2. Let p(x) = 14*x**2. Calculate w(p(o)).\nAnswer: -190708*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2045*t - 5070*t + 2 - 2.\nAnswer: -3025*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2354106, 2354105, 2354104?\n\"Answer: -u + 2354107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 27210951?\nAnswer: 27210953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 2 - s + 3 + 2*s**2. Suppose 5*r + z = 3*z - 3, -5*z + 25 = 5*r. What is the units digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -384 + 9313.2. Round c to the nearest ten.\nAnswer: 8930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110112221 (base 3) to base 14.\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from jjjjjjjjjjjoj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12399 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11973283.431 and 4.\nAnswer: -11973279.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 4*k + 2*k - k**2 - 4*k - 4. Let s be l(-5). Sort 4, s, 5.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12\/(55\/(-75) - -1) and 24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0)**2*5 + 4 - ((sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448) + -2 + sqrt(448))))*-2 + sqrt(448)).\nAnswer: 35 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(22\/7))**(-50)\/(i**(-2\/53))**(-39) assuming i is positive.\nAnswer: i**(-77396\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 3. Suppose k = -2*d - 4. Let g(f) be the first derivative of f**2\/2 + 5*f - 2. Give g(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -33*h - 318. What is w(-13)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(8) + -2 + -5 + sqrt(2) + 2)**2.\nAnswer: -30*sqrt(2) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313 - 294. Let l be ((0 + 0)\/(-1))\/(-1). Suppose l*y + 45 = y + 3*u, -4*y = -3*u - 135. What is the remainder when y is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -69\/2. Let l = 4\/441 + -6917\/882. Let a = c - l. Do a and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(612) + 2 + 0 - (5 + (3 + (sqrt(612) - (sqrt(612) - (sqrt(612) + -2))))*-6).\nAnswer: -3 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 108 (c) -1.7 (d) -0.29 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-8) - -2)*184. Let i = f - -131. Suppose i*n + 2 = 41*n. Which is the closest to 0.1? (a) 2 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 25. Let q(p) = p**3 - 5*p**2 + 4*p + 10. Let z be q(3). What is the highest common factor of n and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -18*(((-4)\/(-18))\/((-12)\/630) - -7) and 2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + -1 + (sqrt(68) + 4 - sqrt(68)\/sqrt(64)) + 2 + -3.\nAnswer: 5 + 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 187*i + 6352. Calculate u(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 34*z - 12 + 4*z - 3*z + 0*z + 5*z - 5*z + z + (-z + 2 - 2)*(-7 + 1 + 4) to the form j + g*z and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 20 - 34 - 315*q**2 - 86*q**2.\nAnswer: -401*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywkw when four letters picked without replacement from ddyhyyyyyhkdywykhyd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 965 = -3*l. Suppose -5 = -0*k - k. Suppose 3*h = k*c + h - l, -3*c = 2*h - 119. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**3 + 3*q**2 - 400*q - 4. Let r(a) = -9*a**3 - 7*a**2 + 804*a + 10. Give 5*k(f) + 2*r(f).\nAnswer: 2*f**3 + f**2 - 392*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 12*c - 31 = 3*p, 1011*p + 4*c + 63 = 1006*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 469?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12880\/73183 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (54\/(-18))\/3 + 23*196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 126*g - 379. Give z(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(-3 + (-153)\/(-54)). Solve -1 - 1 = 4*o + d, -5 = o - c*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(-2 - 1 + 0 - 1 + 2 - 3 - 4 + 5 + 1 + (-1 + 1 + 2)*(2 - 6 + 2) + 4 - 2 + 3).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 7. Let y be 2 + (-8 - 1) + 0. List the prime factors of t(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6243533?\nAnswer: 19, 61, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 33*c = -208 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -3 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27510, -27546, -27582, -27618?\nAnswer: -27654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -10 + (5 - 1). Is r at least -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -10, -0.1, -18.8.\nAnswer: -18.8, -10, -2, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.768066 litres to millilitres.\nAnswer: 768.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -122500*u**3 - 40060300*u**2 - 915616*u - 5232.\nAnswer: -4*(u + 327)*(175*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f = f + 11025. Suppose -2*s - 169 = -f. Put -18, -4, s in ascending order.\nAnswer: -18, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 480\/(-704) + (-4)\/(-8). Put 2\/13, w, 1\/4, -3 in ascending order.\nAnswer: -3, w, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 35 - 20 = 0. Let w = 123 + -120. Solve 4*u - 2*v - 1 = w, -5*u - n*v = -20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 - i - 21 + 7*i**2 + 2*i + 401 - i**2 to b*i**2 + a + x*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -553.0358 - -552.5. Let u = -0.537 - -0.007. Let t = u - s. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 29 = -5*s. Let u be (-2 + s)\/((-185)\/1406). What is the highest common divisor of u and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -428.4 and 6.\nAnswer: -422.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + 16c68?\nAnswer: 16c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4\/3 - 182*w**3\/3 - 3854*w**2\/3 + 4418*w = 0.\nAnswer: -47, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2 - 227*t - 1960. Let h be l(-9). What is the greatest common divisor of h and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41865 - -41876. Solve 3*m = -f - h, -23*m = 5*f - 28*m + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by -2.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 126*q**2 - 173*q + 5218. Give p(125).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4688562.\nAnswer: 9377124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 15526. Let n(h) = h - 5195. Determine -7*n(y) - 2*v(y).\nAnswer: y + 5313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1730908 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 divided by 824?\nAnswer: 711\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let l be -1*n\/3*-9. Suppose -r - 14 = -5*s, 0*s + 2*s - 3*r - l = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27209.815 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.55 (b) -4 (c) -14 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8431 + 8410. Suppose 3*y = -y. Sort l, y, -3 in increasing order.\nAnswer: l, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38166503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/84)\/(15\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q**6\/10 - q**2 + 49*q + 23. Let t(i) be the first derivative of d(i). What is the first derivative of t(s) wrt s?\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/2))**(11\/4))**(-9\/7)\/(d**(-3)*d**9*d)**12 assuming d is positive.\nAnswer: d**(-5001\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -575*v. Let p(k) = -18*k. What is 161*p(y) - 5*z(y)?\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4689851?\nAnswer: 29, 59, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 1. Suppose -j - 48 = 2*j. Calculate the common denominator of j and y\/4 - 84\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from jajaixjjijjjjjij?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 6, -2*f + i + 11 + 10 = 0. Calculate the remainder when 94\/2 + (6 - 6) + 5 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 2 + 135*t**2 + 139*t**2 - 4*t - 269*t**2 to u*t + y + m*t**3 + l*t**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2. Let p(j) be the first derivative of 2*j**3\/3 + 22. Give y(p(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -w - 2. Suppose w = 7*k - 10. Suppose -2*g - 6 = -5*r + 9, -2*g - 3*r = -25. Solve k*h - g = 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6777042*n**2*q**2 - 5*n*q**3 - 126475899*q**3 with respect to n.\nAnswer: -13554084*n*q**2 - 5*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74157201 a multiple of 1609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**3 + 64*j**3 - 16*j**3 - 18*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 94*q + 17 - 8 - 111*q - 9. Let h(s) = s + 6. Determine i(h(x)).\nAnswer: -17*x - 102","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9958*(-5)\/(-90) - 4\/18.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**2 + a + 0*a**2 - 3*a**2. Suppose -4 = -7*l + 3*l. List the prime factors of u(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 68*k - 2957 - 5403 = 0. Calculate the highest common factor of k and 448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -420, -820, -1350, -2022, -2848, -3840?\nAnswer: -5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78159, 80053, 81961, 83889, 85843, 87829?\n\"Answer: r**3 + r**2 + 1884*r + 76273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 44*a + 388. What is b(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -465 - -302. Let d = -110 - f. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*p + 16, -p - 230*x = -237*x - 68 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -94, -151?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4257255 and 39741.\nAnswer: -4217514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-35 + (18 - 13)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1019, -2, 1, 2 in decreasing order.\nAnswer: 1019, 5, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1)**(3\/10)\/(u\/u**1)**(-43))**(-1\/7))**14 assuming u is positive.\nAnswer: u**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(125) + sqrt(125) + 2 + sqrt(125) + sqrt(125) + -2))**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 3*a**2 + 0*a + 4*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 8*p + 3*p - 25 = 0, -3*p - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/764? (a) -39 (b) -3\/5 (c) 33 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*f - 3*z - 20, 26*f - 27*f + 4*z = 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, b: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*v = 18, -46*r = -47*r + 5*v + 26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/3, 0.9, 1\/5, -13905?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*r - 110*r - 103464 = 0. Calculate the remainder when r is divided by 312.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/50*(-10 + (-1485)\/(-147)) and -18\/385?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 47 + 2737*q**2 - 2668*q**2 + 64.\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 7285976*m**2 - 14571964*m - 7285984 = 0. Calculate m.\nAnswer: -1, 1821496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -374*j - 1122. Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 296, 1183, 2662, 4733?\n\"Answer: 296*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z**3 - 2*z)*(-163*z - 164*z + 7 + 324*z).\nAnswer: -3*z**4 + 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*y + 16, -2*y - 272 = -2*p - 258 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(343) + 3 - (sqrt(343) + sqrt(343) + -1*sqrt(343) + 3 + sqrt(343) - sqrt(343)) - (-5 + 4 + sqrt(252)*1 + -4))**2.\nAnswer: -84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -700001*f - 5. Let z(o) = 2100003*o + 15. Let y(g) = 8*x(g) + 3*z(g). Suppose -7 - 8 = 3*c. Let p be y(c). Round p to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -18\/17 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + (5 - 9) + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -667*1.35\nAnswer: -900.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7428? (a) -5 (b) 1.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 1857*k**5\/4 + 3877*k**2\/2 + 8*k + 677. Find the first derivative of j(h) wrt h.\nAnswer: 27855*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 280.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + 9 + -15 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 700 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 56.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22030*m**3 - 17684 wrt m?\nAnswer: -66090*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-50))\/(14 - (-3333)\/(-240)). Factor -2\/15 + 14\/15*g - 16\/15*g**2 - w*g**3.\nAnswer: -2*(g + 1)*(4*g - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 193649?\nAnswer: 193644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42444 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 4, u: 8, a: 8}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1) - (-1 - -5 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -265, -317, -381, -463, -569?\n\"Answer: -t**3 - 45*t - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37, 6 in decreasing order.\nAnswer: 6, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 132790 to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673952605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*l + 56*l + 2*d - 617 = 475 - 117, 2*l + d = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799.3361 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - (135 + -159).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-66)*2\/12*-4.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18731, 37426, 56121, 74816?\nAnswer: 93511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 8*m**2 + 3*m - 9. Let n be j(-8). Let i = 37 + n. Solve -3 = -i*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 + -302. Let t = 130 + m. Which is the closest to t? (a) 4 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5 + (3 + 0 - 4)*(1 + 0 - 3))*(4*n**2 - 2*n**2 - n**2).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + g + 1. Let k(i) = 19*i**2 + 5*i + 4. Let f(r) = 9*c(r) - 2*k(r). Let q = -31 - -32. What is the units digit of f(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65941?\nAnswer: 23, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 times -381?\nAnswer: 105156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9203341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 0*o**6 + 0*o**5 - 5*o**3 + 0*o**2 - 1\/6*o**4 + 0 - 104*o - 40\/21*o**7. Find the third derivative of g(f) wrt f.\nAnswer: -4800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/112 + 5*n**4\/12 + n**2. What is the second derivative of f(r) wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)*o\/o**10*o*o*(o*o*o*o*o*o**(3\/13))\/(o*o\/(o\/o**14)))**26 assuming o is positive.\nAnswer: o**(-6592\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7752 times -23\nAnswer: 178296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*q = 0, -5*v - 77*q = -80*q - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 10, k: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2\/10)\/((-7)\/21) - (-28)\/30)*33. Let w(r) = r**2 - r - 1. Let s = 0 - 3. Let h be w(s). Calculate the greatest common divisor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/17, -1\/5, 3, -8?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + (-7 - -5) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12) + (-74)\/(-6). Suppose -16 - 110 = -7*z. Calculate the greatest common factor of z and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5576.47843 to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44428 divided by -167?\nAnswer: 44428\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3890 + 15540 - 3880 - 3883 - 3887 - 16230*k.\nAnswer: -16230*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664332 and 4980?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0.15 (b) -0.2 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**2\/2 - 2*v + 2. Let r be f(-2). Suppose 2*o = -5*c - r*c + 6, -3*o + 5*c + 9 = 0. Solve -a = o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -76*x**3 - x**2 + 10*x - 27. Let p(h) = -73*h**3 - h**2 + 12*h - 31. Determine -5*n(k) + 4*p(k).\nAnswer: 88*k**3 + k**2 - 2*k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h - 1. Give n(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2d98 (base 15) to base 16\nAnswer: 265a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 40. Let n be a(0). Let c(i) = 2*i**2 - 5*i + 3. Let h be c(7). Let z = h + n. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -118. Let i = x - -107. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15860 (base 9) in base 15?\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -832 or -9156\/11?\nAnswer: -832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 9207?\nAnswer: 55242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788931 is divided by 405.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 4*u + 52 = 0, 3*k = -5*u - 78. Let s be ((-2)\/4*-2)\/(2\/k). Let x = s + 16. Solve -j = 0, q - 3*j - 8 = x*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9030 divided by -56.\nAnswer: -645\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 (base 11) in base 4?\nAnswer: 131301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -72913 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnccccnc. What is prob of picking 1 c and 1 n?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73317 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 43*p + 221. Let t be a(-7). Solve -t = -36*j + 162 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2326 - 2326.1. Let n = -2.09 + 0.09. What is the third biggest value in 3, 0.4, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*w**2 + w**2 - 7*w**2)*(28 - 14*w - 28) to the form j*w**2 + p*w**3 + s + a*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:15 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - -247. List the prime factors of c.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 15, 25, 43, 75, 127, 205?\n\"Answer: s**3 - 5*s**2 + 16*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2*-1 + 1 + sqrt(28) + 5 + 1 + -1)**2*-1*-5.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515c (base 13) in base 15?\nAnswer: -bbcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 5. Let t(u) = -4*u + 10. Suppose 4*i - 25 = -s, 0*i = -s - i + 16. Calculate s*y(r) - 6*t(r).\nAnswer: -2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1 - -127) + -2 + -1. Calculate the greatest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -273 (b) -1\/3 (c) -0.2 (d) 2 (e) 3 (f) 0.5 (g) -2\/239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1156.\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -9. Which is the biggest value? (a) y (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.07 - 0.93. Sort c, -0.5, -4 in descending order.\nAnswer: -0.5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1667, 1706, 1751, 1808, 1883, 1982, 2111?\n\"Answer: q**3 - 3*q**2 + 41*q + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -26*o**5\/9 - 14*o**4 - 58*o**3\/9 + 82*o**2\/3 - 4*o = 0.\nAnswer: -3, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 6, -0.3, 2\/5.\nAnswer: -0.3, 2\/11, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/150 + h**4\/15 + 4*h**3\/15 + h**2 - 8*h. Let a(z) be the first derivative of i(z). Factor a(x).\nAnswer: 2*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13*z**2 + 11*z - 9. Let p(q) = 7*q**2 - 6*q + 5. Let u(m) = -84*m - 256. Let y be u(-3). Calculate y*a(n) - 7*p(n).\nAnswer: 3*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-14))\/(5\/350*75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**4 + 1196*k**3 + 39084*k**2 + 130804*k - 171080 = 0.\nAnswer: -26, -5, 1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-62592)\/(-21) + -3 + (-52)\/91?\nAnswer: 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(30\/11)*h**(2\/31)\/h**(1\/9) assuming h is positive.\nAnswer: h**(-13\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 406294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871423 is divided by 54462.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19918?\nAnswer: 2, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237 + -8. List the prime factors of l.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -962*i**3*s**5 - 28*i**3 - 71*i**2*s**2 + 98*i*s**5 + 4*i*s**2 + i*s wrt s.\nAnswer: -57720*i**3*s**2 + 5880*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -7 (c) 0.3 (d) 1\/2 (e) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10919 - 0.01378641\nAnswer: 10918.98621359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1536 = -27528*i + 27540*i. Calculate the remainder when 12158 is divided by i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -986 - 2428. Let a = j + 3414.03034. What is a rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 2)*2\/6. Suppose 2*z - 12 = -16. Is (1935\/(-6) + 2)\/(x\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 522986 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8810 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l + 4. Let s be v(-3). Let a = s + 28. Suppose -11 = -3*r - a*y + 15, -5*r + 38 = -2*y. What is the remainder when 14 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u*u*u\/(u**(-6)\/u))**42 assuming u is positive.\nAnswer: u**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*z - 872 = 92*z. Calculate the remainder when z is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 4:07 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 426553\/4 + 35\/20 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-67479)\/(-5) + (-9 + -26)\/(-175)?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 73 = -9*h + 20, h - 12*l + 27*l + 22 = 18*l for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:17 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -13*i + 50. Calculate the remainder when 32 is divided by w(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (920*f - 2816*f - 556*f)*(-3 - 3 + 11 + 7*f - 1 + 3) as l + z*f + j*f**2 and give z.\nAnswer: -17164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 0*k**3 + 0*k + 0*k**4 + 9 - 14\/5*k**5 - 9\/2*k**2. What is the second derivative of c(m) wrt m?\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let f(c) = -1 + 8*c**2 + 9*c**2 + 1. Calculate w(f(j)).\nAnswer: 578*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o - 5*o - 2*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -x + 4*k - 5*k, -4*x - 2*k - 506 = 0. What is the common denominator of (28\/(-10))\/(x\/(-280)) and 25\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/4 - w**3 + 3*w**2 + 5*w + 1. Let v be j(-4). Suppose 0 = 138*k - 132*k + 24. Sort v, 2, k.\nAnswer: k, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/7)\/(7\/98). Suppose -c*h - 17 = -21. Solve 5*m - 3*u + h + 14 = 0, -5*m = u + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g - 69. What is the tens digit of 0*1\/3 - g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:22 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 38, 1, -4, 20, 5, 102.\nAnswer: -4, -3, 1, 5, 20, 38, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 37*k - 100 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slllsclsslsccls. Give prob of picking 2 s and 2 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 234*q - 99. Calculate the remainder when j(167) is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 19664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204728 - 85?\nAnswer: -204813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) - (-92)\/28. Let d(h) be the first derivative of 0*h + 0*h**2 - 2\/3*h**k - 1\/2*h**4 + 2. What is the third derivative of d(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 10*j - 21. Determine l(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 159. Is j greater than or equal to -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.6 (c) -29 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 0*a - a - 2 + 11*a + 16*a - 8*a + (0 - 3 + 2)*(-5 + 5 - a) + 0*a + 6*a - 2*a.\nAnswer: 20*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18*l**3 - 3*l**2 + l. Let p(y) = y. Give k(i) - p(i).\nAnswer: 18*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:33 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 greater than or equal to 46925\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*53\/((-9063)\/(-114))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)\/(-1) - 2. Let k be ((-1)\/(-4))\/((-105)\/1680). Sort t, 2, k, 4 in decreasing order.\nAnswer: 4, 2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 + -1578 + 1544\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/44)))**(2\/15)\/(h\/(((h**(-25)*h*h)\/h)\/h)*h\/(h*h\/h**(4\/3)*h)))**30 assuming h is positive.\nAnswer: h**(-8359\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.056 + -0.0559947. What is n rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -7720689?\nAnswer: -1\/7720689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 948.03 + -948. Let i be ((-4)\/(-12))\/((-8)\/6). Let s = 41 + -40. What is the nearest to i in 2\/9, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n - 18*n = -50 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.4 from -199791.\nAnswer: -199788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6867*v**3 + 806*v**2 - 74?\nAnswer: 41202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-15) - 754\/(-6). Let i be 1*s + 1 + 0. Suppose i = 3*y - 0*y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**2 - 5*a + 23. Let m be c(2). Suppose -31 + 88 = m*z. Let o(i) = 3*i**2 - 1. Let w be o(1). Solve d = -w - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -37 - 24 - -99\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -3, -23\/4, 21, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263*k - 242*k + 6565 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/((-4)\/(-3)))\/((-17)\/204). Suppose -10 = -2*x - k. Suppose -3*w + 20 = w. Sort 4, w, x.\nAnswer: x, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468197 or 468198?\nAnswer: 468197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 605*q**3 - 1431*q - 1397. Differentiate j(a) with respect to a.\nAnswer: 3630*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -3*v - 32. Is (v\/6)\/((-12)\/(-5274)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 6*a + 2*a + (3 - 2*a - 3)*(-3 - 3 + 0).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 69*a**4 + 6 - 5 - 215*a**4)*(1 + 1 - 5 + (0 + 3 - 4)*(-3 + 7 - 3) - 1 + 0 + 4 - 1 + 4 + 0).\nAnswer: -568*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 196352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016793 rounded to five dps?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 376*w - 24. Calculate x(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:06 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.064 * -8.6.\nAnswer: -0.5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, -33\/4, -0.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1729714 divided by -3\nAnswer: -1729714\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005499 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103880*d**3*x**4 + 2*d**3*x**2 - 12229*d**3*x - 742*d**2 + 321*x**6 - 3*x**2 wrt x.\nAnswer: -2493120*d**3*x + 38520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1493261917 rounded to 4 dps?\nAnswer: 0.1493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1255 and 3263.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -375*y - 6377. Let t be n(-17). Let r = -2.89 + -0.11. Which is the biggest value? (a) t (b) -11 (c) r (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -351 + 362. Suppose -116 = -35*m - j. Solve -m*l - 3*l - 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + f + 3)*(-f + 3*f - 3*f) - 2 - 2*f**2 + 2 + (15 - 9 + 5)*(-2 + 2 - 3)*(15 + 32 + 10)*(3*f**2 + 0*f**2 - 5*f**2) to a*f + l + y*f**2 and give y.\nAnswer: 3759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -25. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 10, 2 in ascending order.\nAnswer: 2, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1*92\/12)*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + (1 - -5) + -216 + 212.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 9 = 0. Suppose -l - 3 = -12. Let a(k) = l + k - v. Let o(g) = 7*g. Calculate o(a(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010564 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 13*p**3 + p**3 + 6*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 51. Let n(s) = -s + 3 + 3 - 1 + c. Let z(d) = d - 3. Let v be z(8). What is n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13504 to the nearest 100.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 + 3*r**4 - 13*r**3*s**2 - 8*r**2*s**2 + 3*r**2 wrt r.\nAnswer: -120*r**2 + 72*r - 78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2104.\nAnswer: 3\/2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -2*y**2 - 61 + 0*y - 163\/60*y**5 + 73\/3*y**3 + 0*y**4. Find the first derivative of n(m) wrt m.\nAnswer: -326*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 75275230 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*-3*-6 - (-2*sqrt(208))\/sqrt(4).\nAnswer: 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:11 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*a - 11, 4*o - 6 + 1 = -3*a. Suppose 6*p - 1 = 5*p. Suppose -3*w - o - p = 0. Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34185643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(99)*-2*-5 + sqrt(99) - sqrt(99))\/((-1*sqrt(27))\/sqrt(3)))**2 + sqrt(55)\/sqrt(5)*-6 + -4 + 4) + -4.\nAnswer: -18*sqrt(11) + 3296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 3. Let j = -33 + 21. Let u(z) = -z**3 - 11*z**2 + 11*z - 2. Calculate the least common multiple of u(j) and f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1510*c*r**2 + 57212*c*r - 1005*r**3 + 8*r wrt r.\nAnswer: -3020*c - 6030*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-1)*k**(-1\/5)*(k\/k**(1\/3))**(-12\/7)*k**0*k\/k**(2\/3)*k*(k\/(k*k**(5\/3)\/k))\/k*k\/k**(-7) assuming k is positive.\nAnswer: k**(979\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29346 and 68.\nAnswer: 29414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 0)*4*5.\nAnswer: 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -28, -72, -134, -214?\n\"Answer: -9*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5518381 centuries in millennia?\nAnswer: 0.05518381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**14*s*s*((s\/(s*(s\/((s*s**(-5))\/s)*s*s)\/s))\/s)\/s*s*s*s\/(s\/(s*s\/s**(-20)*s))*s\/(s**29\/s)*s assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/20 and 7\/(-28)*(-53)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 divided by -1158.\nAnswer: 73\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 582332 and 81290?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 39*g**2 - 4*g + 5. Let c(u) = -u**2 - 10*u - 20. Let z be c(-7). What is the lowest common multiple of k(z) and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 15 - (1 - 5)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -35*w**4\/24 - 23*w**3\/6 - 27*w**2. What is the first derivative of u(j) wrt j?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from rhrihhrhihrhh.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -s + 6, s = -g + 4*g + 4. Let t = g + -2. Is (-5 - -8)\/((-1)\/t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3630 = 3*x - 10808, 2*x = -2*q + 9604. List the prime factors of x.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c. Let z(b) = 8*b + 4. Let x(i) = i + 1. Let v(p) = -4*x(p) + z(p). Determine a(v(r)).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 - f + 1. Let j(x) = 2*x**3 + 8*x**2 + 8*x. Let k(g) = j(g) + 3*u(g). Give k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178964, 178962, 178960, 178958, 178956, 178954?\nAnswer: 178952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 40 + 16*l**2 - 48 + 64.\nAnswer: 16*l**2 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 + 26880*h**3 + 238*h**2 + 3*h - 2 wrt h?\nAnswer: 48*h + 161280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019*-147.\nAnswer: 2.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.03, 2, -155, 3\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 6\/((-12)\/170). Suppose 1508 = 6*i + c. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 8. Let n = -11 - o. Suppose n*h = 117 - 7. Solve l + 10 = b + 2*b, -5*b - l + h = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:08 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532 and 10213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1241*p + 11078. Determine f(9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(500))**2*-2 + (-2*(sqrt(500)*-2 + sqrt(500)))**2.\nAnswer: -120*sqrt(5) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265\/6 + -44. Suppose -2*y = -2*b, 0*b - 3*b = -2*y + 3. What is the nearest to y in -0.2, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 - 141 = -23*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 7*r + 772 - 772 + 2*r in the form t + z*r and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3061423 + -0.005.\nAnswer: -3061423.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.9134 + -0.2.\nAnswer: 19.7134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**2 - 167*m - 34. Let z be h(-17). Let n = -38 - z. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x - 6. Let t(q) be the second derivative of 0 + 1\/2*q**2 + 1\/6*q**3 + 2*q. What is -6*t(i) - z(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -3222300?\nAnswer: -3222301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:15 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6 - 24 - 28*q + 5. What is the tens digit of z(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -7 - -1 - 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 500, 511, 522, 533, 544?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -15\/11, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4910910769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 - n - 1. Let j be a(2). Let z(k) = -k**2 + 12*k - 9. Let u be z(11). Is j\/u*97*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuggglunguluu. Give prob of sequence nlg.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 90 = -45 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2567*t - 2070*t + 6736*t - 2083*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, 291, -97\/6 in descending order.\nAnswer: 291, -0.1, -0.3, -97\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 - 22\/(-6). Suppose -2*q = -2 - t. Suppose 0 = -2*f - q + 41. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32763 and 5379.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -167 - 9?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 56. Solve s*u = 3*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9705*g - 9750*g + 29162*g - 9709*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39477185 and 4246?\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4244538 to the power of 1\/2, to the nearest integer?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55)\/(-50)*5 + -4. Which is the biggest value? (a) -1\/4 (b) 2.37 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1*3835\/(-177). Solve 70*n = c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 3. Let c(u) = -13*u + 196. Determine c(b) + 6*d(b).\nAnswer: -b + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3267) + -1 + 1 - (sqrt(3267) + 1 + -2)) - -4*(1*1*sqrt(3267) - (-1 + sqrt(3267) + sqrt(3267))*-4))**2.\nAnswer: -47520*sqrt(3) + 4234432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 10*p + 8. Let r be s(-11). Let y(w) = -3*w + 7. Does 16 divide y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 - 3\/6. Let c = -2.82 - -1.82. Let v(g) = 26*g + 132. Let a be v(-5). What is the closest to a in -3, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 628?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzzzqpqzjkpz. Give prob of picking 2 q and 1 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -9. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-559 + 1119 - 563 - 25*r)*(-5 - 2 + 4)*(r + 5*r - 5*r).\nAnswer: 75*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(475)*-2*6))**2 + -2.\nAnswer: -15000*sqrt(19) + 1710623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91506475.00363 - -91507040. Let y = v - 565. Round y to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077233 to 4 dps.\nAnswer: -0.0772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -152 - 29*d**2 - 180 - 38*d - 114*d**2 + 332 in the form c*d + u*d**2 + b and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27344 divided by 1709\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0209 - -0.0208629. What is h rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 19*n - 29. Suppose 5 = -t, 0 = -9*c + 13*c - n*t - 18. Is c greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 5. Find the common denominator of 113\/22 + w - 1 and 435\/(-54) - 3 - (26 - 29).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.999639ng?\nAnswer: 0.000000003999639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + i**2 + 4 - 4. Let v(k) = -88*k - 110*k - 87*k + 286*k. Calculate d(v(m)).\nAnswer: m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2 + (4 - 1 - 4)*(1 + 2 - 2) - 5 + 0 + 4 + 4407 + 3899 - 9150)*(-2*d**2 + 4*d**2 - 3*d**2).\nAnswer: 849*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, w: 8, x: 3}. Give prob of picking 1 w and 1 l.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 4*v - 57, f + 1371*v - 683*v - 685*v = 22 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 3*f**4 + 2*f**4)*((1 - 4 + 1)*(2 - 4 + 4) + 0 + 1 + 0 + 0 - 3 + 5 + 0 + 5 - 3)*(-3*f + 6*f - f).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 + -1157\/7. Let z be 2*(-2)\/6*3. Which is the closest to w? (a) -0.1 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.649 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(131\/1965).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -300\/451 + 3181348\/4059. Let c = 784 - f. Suppose 4\/9*s + 4\/9*s**3 - c*s**2 + 0 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 434408*d + 11794394404.\nAnswer: 4*(d - 54301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Put -1, 2, g in descending order.\nAnswer: g, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.159 + 4.159. Which is the closest to 3\/7? (a) -0.5 (b) -16 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 3.7, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 15) in base 5?\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11867, 94820, 319983, 758462, 1481363, 2559792, 4064855?\n\"Answer: 11851*b**3 - b**2 - b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 9*o - 11. Let k be o\/5 + (-110)\/(-25). Suppose -3*j + 25 = 2*p, -k*j + 25 = -p + 2*p. Solve p*z + q = 4*q + 27, -5*q - 32 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhrh when four letters picked without replacement from hrrhhrh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/98 and 23\/637?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (195\/6*2)\/1. Let i(f) = f**2 - 5*f. Let t be i(5). Suppose t = -4*d + 9*d - l. What is the greatest common factor of 143 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {o: 4, t: 3, w: 1, l: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10*19\/38)\/((-5)\/6). Which is the fourth biggest value? (a) -2\/9 (b) -2 (c) -9 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*r - 31. What is the highest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 73a6a + -4a6a?\nAnswer: 6a000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(429)*1)\/sqrt(11))\/((sqrt(3) + -3*1*sqrt(3) - sqrt(3))*-3).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -102*x**2 - 7936*x. Let a(s) = -2*s. Calculate a(r(k)).\nAnswer: 204*k**2 + 15872*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 3 + -7 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 495*f**5 + 493*f**5 + f - 982*f**5 - 4 - f**4 wrt f.\nAnswer: 120*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.041021\nAnswer: 0.0205105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 50 = -22. Let d = 4 - -10. Let n = d - z. Solve f + 4 = -q, -f + 4 = -q - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (17 + -9 + (-35 - -14)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p**3 + 41*p**3 - 68*p**3 - 21*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -26. Let m(o) = 2*o - 4. Let c be m(i). Find the second derivative of -c*b**5 - b**5 - 2*b + 7*b**5 wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -7 + -1 - (8 - -1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5*48465\/(-2154)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 736, 1325, 1914, 2503, 3092, 3681?\nAnswer: 4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*j - 13 = t, 4*t + 16 = 3*j. Suppose -j*v + 5 = v. Let z(f) = 8*f**2 - 2*f + 1. Calculate z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + 1 + sqrt(1331)).\nAnswer: 3 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.06.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*v + 62 - 82 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.522299 nanograms in micrograms?\nAnswer: 0.005522299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8409.\nAnswer: 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = 36. Let n(r) = -3*r**3 - r + 1. Let v be n(1). Let h = u + v. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -13 (b) -7\/24 (c) 789\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 418?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(4\/19) + (-5)\/10. Suppose 2*w + g = 17. Calculate the smallest common multiple of 2 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.6. Let d = 1.2 + v. Let t = 67\/2 + -33. What is the nearest to -2 in d, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -61 - 170\/(-1445)*544. Let a = 23534\/3531 - -2\/1177. Find q, given that -217\/3*q**2 + 136\/3*q - a - 49\/3*q**x = 0.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:38 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.1 (b) 0 (c) 1\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5624.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634043 is divided by 1355?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002514 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 615 - -7674801.35301.\nAnswer: 7675416.35301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35098.1 + -34751.1344. Let x = 347 - m. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 4*c - 9*c. Let k(t) = -t. Determine -4*k(m) + u(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7\/3. Let w = 80 - 83.7. Let c = w - -4.2. What is the closest to -1\/3 in c, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4751883ml to litres.\nAnswer: 0.0004751883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/(1 + 3)). Suppose 0 = u*f + 2*t - 80, f + 3*t = -3*f + 76. Let k be f\/99 - 156\/(-27). Calculate the greatest common divisor of 78 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -83*g**2 + 23*g - 10. Let x(r) = -21*r**2 + 6*r - 2. Let p(y) = 2*b(y) - 9*x(y). What is the tens digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 235. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43928 and 189601.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/13225*(-60600)\/404.\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.8 (b) -17 (c) -0.1 (d) 5\/2 (e) 1947 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.3 - -236.3. Let w = -186 + t. What is the nearest to 2 in w, 23, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1252, -1255, -1260, -1267, -1276, -1287?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-2)\/(-6)) + -1. Let v be 3\/(-1) + g + 1. Suppose -q + 126 = h, q + q - 2*h - 256 = v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*s = 93*s - 3809*s + 288122 + 93643 for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11137*n - 23. Is k(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1648, -6520, -14608, -25912?\n\"Answer: -1608*r**2 - 48*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27533060 + 20?\nAnswer: 27533100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {y: 1, l: 1, h: 1, a: 1, q: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96, -1315, -2726?\n\"Answer: -1411*g + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 12*g**2 - 25*g - 5. Give t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**7\/1260 - 7*i**4\/12 + 3*i. Let t(r) be the third derivative of f(r). Let c(s) = 2*s**2. Give t(c(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/32*(-12)\/2. Let h = -1\/24 + m. Let r be 9\/((-270)\/20) + 38\/30. What is the biggest value in r, h, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = 3*h - 0*r, 2*r = h + 1. Let y = -56 + 56.2. What is the second smallest value in -4\/5, y, h?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21136?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 99814.\nAnswer: -2994.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 26. Let h be ((-8)\/6)\/(2*(-1)\/k). What is the first derivative of -31*t**h - 17 + 13*t**3 + 31*t**2 wrt t?\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 110 + 30. Suppose 0 = -3*y + y + b. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 2*q**2 + 3*q + 3. Let o be h(-3). Suppose o*m - 30 = -2*l, 3*m + m - 2*l = 26. Solve -m = 3*x + x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1022\/(-60))\/(-73) + (-3)\/(-18). Determine t, given that r*t + 1\/5*t**2 + 1\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from tisiiissiiid.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 116108014565 + 10?\nAnswer: 116108014575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iappppipppiiipkpi. What is prob of picking 1 a and 1 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170934?\nAnswer: 2, 585467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/9 + 1970936*s**3\/9 + 161826982228*s**2\/3 - 45648271211752*s\/9 + 1072836697479698\/9 = 0. Calculate s.\nAnswer: -492781, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1236, -1121, -928, -657, -308?\n\"Answer: 39*l**2 - 2*l - 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658625 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7382758?\nAnswer: 2, 37, 99767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4536 and 864.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c + 1. Let o(u) = -2*u**2 - 7*u - 11. Let b(w) = a(w) - o(w). Let r(h) = -h**2 - 3. Let g(z) = -b(z) - 2*r(z). Determine g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*c**2 - 151*c**2 - 32*c**3 + 74*c**2)*(4 - 4 - c).\nAnswer: 32*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855419228 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*m + 2*m. Let u = m + 79. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d**2 + 198*d. Let g(i) = -6*i**2 - 82*i. What is -7*g(a) - 4*m(a)?\nAnswer: -2*a**2 - 218*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 981078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 1977\/7. Suppose 4*m - 4*t - 36 = 0, -10*t = -11*t - 2. What is the second smallest value in k, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -534.1 + 534. Let l = -1.97 - 0.03. Let q be 15\/20 - 41\/44. Which is the nearest to v? (a) q (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 6*l + 1. Let h be x(5). Suppose 5*r = -5*g - 0*r - 650, 3*g - 2*r + 370 = 0. Let w = h + g. Which is greater: w or -46?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*y - 141*y = 40. Let d be 40\/(-6)*12\/(-10). What is the second derivative of -d - 3*c - c - 6*c**2 + y wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.2309\nAnswer: 0.4618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84900 and 33600.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 2:07 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 1, y: 11, w: 1, r: 4}. What is prob of sequence yyo?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3978641?\nAnswer: 5\/3978641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 2*b**3\/3 - 8*b**2 - 6*b + 45.\nAnswer: (b - 3)**2*(b + 3)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 141870, -42?\nAnswer: 141870","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3173645\/(-1700) - (-4)\/(-10))*-4?\nAnswer: 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 13. Calculate the smallest common multiple of 1\/3 + 276\/t and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318\/14 - (-6)\/21?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425212 (base 8) to base 7.\nAnswer: -1130612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6299 = 302*m - 7599 - 3618 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 2348745?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*w - 4*k - 19, -3*w + 2*k = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1511*h. Let v(f) = -3*f + 7. What is v(g(r))?\nAnswer: -4533*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, n: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -197*z + 865. Let x(o) = 295*o - 1298. Let v(c) = 8*g(c) + 5*x(c). Is v(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + (-52)\/152. Let i = f - -143\/57. Calculate the common denominator of 747\/(-132)*(-4)\/(-6) and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from hihhifi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 5*m**2 + 15*m - 7. Let a be k(1). Suppose -18\/7 - 3*t - 3\/7*t**a = 0. Calculate t.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, k: 1, s: 2, m: 3, z: 2, o: 2}. Give prob of picking 1 s, 1 z, and 1 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/(-24))\/(1\/4). Let a be 79\/11 - (-2)\/y. Let s = 15 - a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644 is divided by 859.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -47*c**2. Let j(x) = 295*x. Determine w(j(b)).\nAnswer: -4090175*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x + 5*x - x)*(-4 + 3 - 2 + (0 + 1 - 5)*(0 - 1 - 1)) to m + i*x and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 100240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1272.924 - 1273. Round y to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12625 and 27775.\nAnswer: 138875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.31146349?\nAnswer: 1.55731745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1670*b**2 + 487 with respect to b.\nAnswer: -3340*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*w - 16701 + 710, 0 = -2*w - 2. Let d = o - -12199. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 501992293?\nAnswer: 501992293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 - 6*l - 2. Calculate d(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:08 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29019334?\nAnswer: 2, 14509667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52768274?\nAnswer: 2, 13, 2029549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2*q**2 - 8*q - 191. What is u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8911 + 1.591025. Let o = 0.3 + c. Round o to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 1. Let s(z) = 34*z + 4. Determine 3*c(n) + s(n).\nAnswer: 31*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d**2. Let b(q) = -19*q**2 + 13*q + 13. Let s(t) = -9*t**2 + 6*t + 6. Let g(f) = -6*b(f) + 13*s(f). What is g(n(h))?\nAnswer: -300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3654855 (base 9) to base 7.\nAnswer: -22605164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {r: 2, m: 3, i: 2, f: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9*63.6878\nAnswer: -573.1902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 11. Let w be i(2). What is the second derivative of 5*a**3 + 3*a**3 + 16*a**w - 30*a + 52*a wrt a?\nAnswer: 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042154796 to 6 dps.\nAnswer: 0.004215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30367, -11, 1, 14.\nAnswer: -30367, -11, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/(1\/(-120)). Let t = 1167 + -6955\/6. What is the common denominator of (-2)\/(-1*a\/39) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*k + 8 = -0*k, -4*k + 8 = 0. Is (w - 57)\/(-3) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2 and -48\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-186)\/(-5) - 38826\/(-32355)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u - 20*u + 7*u + 7*u + 0*u. Let j(d) = 2*d**3 + d**2 - 1. Let z be j(-1). Let g(p) = -p**3 + p**2 - 5*p. Calculate z*g(n) - 5*w(n).\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 8*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15200, 65834, 151898, 273392?\nAnswer: 430316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 253226 = -226638 - 19366. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 9*i**2 - 32*i - 1. Determine z(-6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -116, -415, -1000, -1967, -3412, -5431, -8120?\nAnswer: -11575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22*-1 - (-16 - -17). Let d = -21 - l. Solve -5*o - 26 = -5*v - 2*o, -d*o - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -5 (c) 0 (d) -3\/2 (e) -4005 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 48. Give t(-31).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7058\/33 + -214. Is -1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 14700665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:55 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 311283 (b) -2\/3 (c) -0.13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(-20*z - 22 + 22) + (2*z**2 + 2 - 2)*(0 - 3 + 1) - 4*z - z**2 + 4*z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f**6)**24*(((f\/(f\/(f*(f**(3\/8)\/f)\/f)))\/f)\/f**(-2\/5))**30 assuming f is positive.\nAnswer: f**(-531\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1662.6 from 490.361.\nAnswer: -1172.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (-63 - (-76 + -43))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 7) in base 15?\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbwwwbwbbwbbb. What is prob of picking 3 b and 1 w?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/324)\/(1\/4*2*-2).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 4352, 14800, 35148, 68696?\nAnswer: 118744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62.73 + 63. Let i = 0.59 - n. Let w = i - -0.08. Which is the smallest value? (a) -0.2 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 358*l - 7. Let g(z) = -z**2 - 360*z - 6. Let a(q) = -7*g(q) + 6*x(q). Let i(t) = -2*t**2. Give a(i(o)).\nAnswer: 76*o**4 - 744*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 1. Let z be 75\/60 + 1\/(-4). Let x(m) = m**2 - 5*m - 5. Give z*x(f) + 5*r(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 4.99. Let n = 1\/26 + 71\/13. Let i = -6 + n. What is the biggest value in i, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -965734.628 to the nearest 1000.\nAnswer: -966000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d**3 - 20*d**3 + 32*d**3 + (-2 + 1 - 1)*(2*d**2 + 2*d**3 - 2*d**2) + d**3 - d**3 - d**3)*(126*d + 18*d**2 - 126*d).\nAnswer: -432*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 701*j**2 - 1888?\nAnswer: 1402*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94066 - -94208. What is the smallest common multiple of m and (8\/5)\/((-1)\/(-5))?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46397, -92795, -139193, -185591, -231989, -278387?\nAnswer: -324785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 124.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2427 + 1.1573. Which is the fifth biggest value? (a) 1 (b) -0.2 (c) 1\/3 (d) 12 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12249 greater than 15907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -985199\/212 greater than or equal to -4646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**(-19))**(-2\/39)*(u*u**(-2\/5))**(-4\/5)*((u**(-1)*u*u)\/u)**(5\/3) assuming u is positive.\nAnswer: u**(-461\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 15 + 18*q - 59 - 5 + 188.\nAnswer: 18*q + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/20)\/j)\/j**(2\/17)*j*j*j**(-10)*j*j*j\/(j**(-23)\/j)*j assuming j is positive.\nAnswer: j**(6437\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -391 - -396. Suppose 3*b + 5*f = 503, -3*f = c*b - 838 - 11. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5779906?\nAnswer: 2, 11, 262723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**8\/14280 - r**7\/3570 - r**6\/612 + r**5\/170 + 2*r**3 - 15*r**2. Let y(v) be the first derivative of c(v). Factor y(w).\nAnswer: 2*w*(w - 3)*(w - 1)*(w + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.8 - -5.8. Which is the nearest to d? (a) -3\/5 (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d - 12. Suppose 2*j - 12 = 0, 4*n + 9 = j - 9. Sort -18, 1, d, n in increasing order.\nAnswer: -18, n, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*j*k*p - 2*d**2*k + j*k*p - 4699*j*k - j*p + 132*p wrt p?\nAnswer: d**2*j*k + j*k - j + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*u - 40 = 0, -u + 160 = -2*i + 146 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.31. Let a = z + -0.01. Let w = -4 - 4. Is a > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250328398*g**2 - 37730058*g wrt g.\nAnswer: -500656796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*k + 3*v - 451, -3*v - 377 = -4*k. Suppose 3*n + k = 6*n + 2*u, -5*n + 2*u = -148. Calculate the greatest common factor of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47 and 65.\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -6174\/825037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -489.95 - -493. Let x = -1.05 + w. Which is the nearest to x? (a) -0.1 (b) -3 (c) 1\/12 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036720452 a multiple of 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 1 - (135 + 144 + -339)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k**4 - 34*k**3 + 34*k + 8 = 0 for k.\nAnswer: -4, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 45, 57, 73, 93, 117?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3135940*z**6 - 21*z**4 + 378574992*z**2?\nAnswer: 376312800*z**3 - 504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001213231 - -10001?\nAnswer: 2001223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 3424944?\nAnswer: 30824496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z**1)\/z)*z*z)**(-20\/3))**(1\/16)*((z\/(z\/(z**(-2\/9)*z)*z*z))**(2\/15))**36 assuming z is positive.\nAnswer: z**(-377\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s - 10. Let w(k) = 10*k + 1. Let g be w(-1). Does 10 divide n(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Determine c so that h*c - c**2 - 4*c + 2*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = 248 - 94. Is (63 - (t + 3))*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-11)*((-1309)\/14)\/17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218510, -218511, -218512?\nAnswer: -218513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h**(2\/19)\/h*h)*h**(-5)*h*h\/((h\/(h**2*h))\/h))\/((h\/(h*h**(1\/3)\/h)*h\/h**(-3))\/(h**(-2\/5)\/h**0)) assuming h is positive.\nAnswer: h**(-2044\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16687 - 16686. Which is the smallest value? (a) r (b) -0.2 (c) 0.6 (d) -2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6 - 2*m + 0 + 0*m. Let l be (28\/10)\/(6\/(-15)). Let z be f(l). Calculate the greatest common divisor of z and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3723, 7448, 11173?\n\"Answer: 3725*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 106. Let o be h(-26). Solve -q - o*q + 19 = 2*m, 0 = 4*q + 3*m - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5 - 1336*z**4 + 89420*z**3 - 88088*z**2 = 0.\nAnswer: 0, 1, 91, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462229, 462233, 462237, 462241, 462245?\nAnswer: 462249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from bwybvbvdwbv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -605 - -605.1. Which is the closest to j? (a) 0.1 (b) -5 (c) 29\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11957.93 to the nearest one hundred.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -2, -15, -1, 568 in descending order.\nAnswer: 568, 14, 4, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 8*o**2 - 2*o + 10. Let q be n(8). Let l = q - -4. Find the common denominator of (-53)\/4 - 2\/l and -67\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -34381*g + 68794. Determine s(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 5 + 9 + -3 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 175, 177, 179?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 20, 3*k - 2*g - 289 = -6*g. Suppose 3*r + 7 = k. Let m be ((-2)\/15)\/(9\/(-15)) - 306\/(-81). What is the greatest common factor of r and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 4*m - 60 = 4*y, 0 = y + 3*m - 7. Suppose -14 - y = 11*f. Let x(k) = -k**2 - 5*k - 2. Calculate x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50009, 200920, 452729, 805442, 1259065, 1813604, 2469065, 3225454?\n\"Answer: k**3 + 50443*k**2 - 425*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 6. Let h be y(-4). Suppose 12*d - 15 = 9*d. Suppose -d*m = -o + 2, 2 = -h*o + 3*o - 4*m. Solve v = 3*g - 13, o*v - 13 = -5*g + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7885458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 - 2*t + 5. Suppose -u = -4*k, -3*u = 6*k - 9*k - 9. Let i be (-10 + (-168)\/(-16))\/(2\/4). Let f(y) = y**2 - 1. Give i*q(o) + u*f(o).\nAnswer: o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -881\/6 - -147. Let m(x) be the third derivative of -3*x**2 + i*x**4 + 0*x + 0*x**3 + 0. Let a(b) = -2*b. Give m(a(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102200237.\nAnswer: 102200237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 2673.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6776)\/(-3696)*66\/(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b + 2*i, 2*i = b + 3*i - 8. Calculate the remainder when b\/(-3)*(-1 + -11) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 1\/2, -34, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2838450 and 73\/3135?\nAnswer: 593236050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3115009, 12460012, 28035023, 49840048, 77875093, 112140164?\nAnswer: 152635267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 56. Solve z = l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 23 = 23. Suppose f = 4*o - 33 + 49. Let u be -1*2 - (-6 - o). Solve -y + u*y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-7) - (-6)\/(-51)*-17.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.333 + 1.28. Let q = y + -0.039. Let h = -0.408 + q. What is the closest to -1 in h, 1, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:53 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*r + 168 = 313*r - 147*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Let k be (6\/u)\/((-2)\/(-4)). Let a = -85 - -849\/10. Sort a, 0.1, k.\nAnswer: a, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20\/83 - 57\/581. Which is the smallest value? (a) 2 (b) g (c) 94 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/10 - 2\/(-10). Let q be 4 - (-1)\/i*-2. Factor -3\/2*t**2 - 1\/2*t + 1\/2*t**q + 3\/2*t**4 + 0.\nAnswer: t*(t - 1)*(t + 1)*(3*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74170302, 148340614, 222510924, 296681232, 370851538, 445021842?\n\"Answer: -p**2 + 74170315*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 13*s - 1. Let b = -3 - -2. Let u = 0 - b. List the prime factors of y(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4464, 5.\nAnswer: -4464, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -78, -109, -134, -153, -166, -173?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -59 - 356, -6*n - 707*a + 350*a = -352*a - 385 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 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: Let i be -10 + (-18 - (-27 + -1)). Solve -99*h + 84*h - 45 = i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -20, 2\/5, -1\/5, -10582, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:57 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose i + 5 = 0, -i = -4*n + 5 + 8. Sort n, x, -0.4 in decreasing order.\nAnswer: n, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 468.06 - 468.059837112. What is t rounded to six dps?\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - ((-4)\/(12\/(-9)) + -7). Let a = 2\/9 - t. Suppose -a - 2\/9*z**2 - 16\/3*z**3 - 32\/9*z**4 + 4\/3*z = 0. Calculate z.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126041.51 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2255.973 months to centuries.\nAnswer: 1.8799775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743596667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**2 - 3249*r + 1302.\nAnswer: -3*(r + 217)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*(-1 + sqrt(76)))**2 - sqrt(76) - (-2 + (sqrt(76) + 1 + sqrt(76))**2))*-4.\nAnswer: -2464*sqrt(19) + 39504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111.5345 - 0.1914?\nAnswer: -1111.7259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 113*d**5\/15 - 2*d**2 + 2127*d. Let p(h) = 2*h. What is k(p(t))?\nAnswer: 1808*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*u = -0*j + 80, -5*j - u = -304. Calculate the greatest common factor of 40 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 7 - -27) + (-22 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-507) - (-3 + 3152\/104).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/5))\/u**(-1))\/(u**3\/u**(-1\/3)) assuming u is positive.\nAnswer: u**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110171681 to 7 decimal places.\nAnswer: 0.0001102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2827602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 61*p = 1. Find the common denominator of 107\/(p\/((-3)\/54)) and -38\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 35. Let h be b(9). Let j(g) = g**3 + 15*g**2 + 16*g + 30. Let u be j(-14). Let k = 29.8 - 30. What is the closest to u in k, h, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b**2 + 3*b)*(-4*b + 0 + 0).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2585 divided by 5\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i + 14019 - 13953 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + w = 4*w - 30, -4*p - 4*w + 152 = 0. Let v = -59 + 98. Let l = p - v. Solve l*y + 2*t = 0, 0 = -2*y - 3*t - t - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 3897456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 47*w = 39364000. What is w rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -49*j - 396. Let i be z(-8). Let p(a) = a + 1. Let s(d) be the third derivative of -d**4\/8 - 5*d**3\/6 + 2*d**2. Calculate i*s(h) - 20*p(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56971*p**2 + 56971*p**2 + 3644*p**3 - 2*p**3 + 0 + 0 + (-4 + 2 + 3)*(0*p**3 - p**3 + 0*p**3).\nAnswer: 3641*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let c = -28159 - -28162. Let b(y) = -21*y + 12. Calculate c*b(q) + 36*o(q).\nAnswer: -63*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(15\/18)*5. Let u(y) = -2*y**3 + 9*y**2 + 5*y + 35. Let g(c) = 5*c**3 - 26*c**2 - 15*c - 100. Let d(h) = 3*g(h) + 8*u(h). Is d(x) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crf when three letters picked without replacement from {c: 1, r: 2, t: 1, k: 1, f: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a - 16. Let g(m) = -8*m - 48. What is 5*g(k) - 14*p(k)?\nAnswer: 2*k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/5 - 18*j\/5 + 72\/5 = 0.\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*v + 5 = 0, 0 = -5*t - 2*v + 6 + 8. Let n = 2 - t. Is ((-8)\/n - 1)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80600, -161199, -241800, -322403, -403008, -483615?\n\"Answer: -l**2 - 80596*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 350303052 (base 6) in base 4?\nAnswer: 120221301020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (109 - 98).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*t + 15 = 0, 45 = z - 6*z - 4*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 302\/6 + (-8)\/(-12). Suppose 4*u + 37 = 5*y, 3*u + r = -4*y - 0*y. Let q = u + 17. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 49768214?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 9*s - 9. Let z be l(-8). Let w = -5537\/11 - -53587\/77. Let r = w + z. Is r smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69002193?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -85367 - 60443. Suppose 5614 = 22*l - t. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7\/q**(-3))**18*q**0*(q\/(q**(1\/5)\/q))\/q*((q\/(q*q\/(q*q*q\/(q**(-1)\/q*q*q))))\/q)**(-38) assuming q is positive.\nAnswer: q**(714\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 13*j**2 - 8*j + 20. Let f be d(-11). Let z = 223 + f. What are the prime factors of z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/((-7290)\/12))\/((-6)\/18).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 105 = -20*u. Let f(w) be the second derivative of -1\/4*w**4 + 0*w**5 + 0*w**2 + 1\/30*w**6 - 1\/3*w**3 + u*w + 0. Find s such that f(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 52*t + 35. Suppose -189 = 8*c + c. What is the tens digit of k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -116767.861\nAnswer: 35030.3583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 + a + 2. Let s be o(-3). Let x = 13 + s. Sort -3, -5, x in descending order.\nAnswer: -3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257485 to the power of 1\/2, to the nearest integer?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a27 (base 12) to base 16.\nAnswer: -133f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10917, 42830, 96017, 170478, 266213, 383222, 521505?\nAnswer: 681062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 2*j**3 - 3*j**3)*(-3 + 2 + 3)*(-13 + 3 - 5).\nAnswer: 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164667 and 8799.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0.5, -3, 23, 40.69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3 - 3*o + o**3 - 2*o**3 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453838 divided by 421\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1340, 1339, 1338, 1337, 1336, 1335?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 709 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, u: 2, t: 6, e: 3, j: 1}. Give prob of sequence ppj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 5. Let s be t(6). Let b be s*1021*6\/6. Let d = -5156\/5 + b. What is the common denominator of d and 35\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672 a factor of 1844386928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 206, -3, -18 in decreasing order.\nAnswer: 206, 0, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 98. Let a(r) = -r**2 + 6*r - 8. Give a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 13. Let x be d(-4). Let b(p) = -9*p + 14. Let m(s) = 3*s - 5. Suppose w + 44 = -3*w. Let q(n) = w*m(n) - 4*b(n). Determine q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3090 or -29\/16?\nAnswer: -3090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212.9999492 - -213. What is k rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 1\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzkozk. Give prob of sequence zk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-313621)\/4073 + (0 - -58)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27737924?\nAnswer: 2, 43, 161267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55324\/152141)\/((-18)\/(-110)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17550720 (base 8) to base 10\nAnswer: -4116944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-4)\/(-8)). Let a(r) = 17*r - 1. Give a(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 7 + 7)*(j + 0*j + 0*j)*(-794 + 794 - 80*j**2).\nAnswer: 400*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530\/61 + -3119\/366. Let v = 0.5 + -0.34. What is the closest to 0.1 in q, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3132 and 117\/1458410?\nAnswer: 78754140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3793, -7645, -11491, -15331?\n\"Answer: 3*m**2 - 3861*m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 + 157*n**4 + 6599*n**3 + 34883*n**2 + 28440*n = 0.\nAnswer: -79, -72, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -6*(2 + 13)) + -2. Suppose 15*c + 7*c - 1232 = 0. Calculate the greatest common divisor of w and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -68, -63, -60, -59, -60, -63?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 680 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -244\/13 (b) -5 (c) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3760*i - 3763*i + 5 = 0, 0 = 5*a - i - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-18)*(1 - (-1 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8333.024mg in grams?\nAnswer: 8.333024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**7))\/r)\/r)**5*(r\/((r**0*r)\/r))**(10\/9) assuming r is positive.\nAnswer: r**(-395\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v = 16. Suppose -3*x + 63 = -5*i - 43, v*i = 16. Let m be -12*(-2 - (-6)\/(-4)). Is m > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 150\/35 + (-4)\/14. Let z(w) = -w + 14. Let m be (-4)\/(-1)*(2 - -1). Let p be z(m). Solve 3*y - p*y = -v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 35. Determine k(13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*f + 14*f + 11*f + (2 + 2 - 5)*(-2*f - 3 + 3))*(-4*f + 0 + 0) to b*f + k + y*f**2 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45823, -1.1, 2, 0.2 in increasing order.\nAnswer: -45823, -1.1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.085 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2012 divide 222909480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*t)*(-23 + 20 + 15)*(4 - 3 + 2).\nAnswer: -72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1073 + 6.\nAnswer: 6.1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*g + 132*g = -27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 3*s + 4*s - 3*s - 3 + 3 + (-3 + 3 + s)*(-1 - 2 + 1) - 3 + 3 + s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65844 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2 + 10878*k - 162720 = 0.\nAnswer: 15, 5424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) 2\/11 (c) -2\/15 (d) -3 (e) 1033535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1556 + -20?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-264)\/(-55) - 8\/10. Let t = -10 - -17. Suppose -t*w + m*w + 129 = 0. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + f**4 - 4*f - 4*f**2 + 4*f**2 - 2*f**4 + (-5 - f**3 + 5)*(2*f + 3 - 3) + 2*f**4 + 0*f**4 - 5*f - 3*f**4.\nAnswer: -4*f**4 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32028 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.105 - -1.895. Let k = -2\/55 + 128\/495. Which is the second biggest value? (a) k (b) f (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 4.5. Let p = -255841\/456 - -4497\/8. Let o = 5\/19 + p. Which is the third smallest value? (a) -2\/15 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(0 + 6*3*sqrt(891))**2.\nAnswer: -4330260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185130 and 179163.\nAnswer: 216787230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 10*l - 38. Determine q(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 + -1.2. What is the smallest value in 1\/11, 0.4, y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1759*81\/99 - 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -39ec06?\nAnswer: -39ec04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, b: 1, l: 5, m: 2, o: 6}. Give prob of picking 1 l and 3 t.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7880772 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-1 - (-2 - -5)) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364893*m + 121633*m + 121630*m + 121629*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:11 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/30885 and 79\/6.\nAnswer: 61770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*c + 10, 0 = -5*w + 3*c + 6 + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.29 - -11.8. Let o = d + -0.01. What is the biggest value in -0.3, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 = 2*m, 5*m - 1 = -4*d + 5. Let k(t) = t + 13 + 2*t**m + 2*t - 10. Let f(u) = 2*u**2 + 2*u + 2. Determine 3*f(y) - 2*k(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliillll. Give prob of sequence llll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 4)*(-169*i + 374*i - 171*i) to g + m*i and give m.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, -524, -2138, -5272, -10430, -18116, -28834, -43088?\n\"Answer: -84*g**3 - 4*g**2 + 2*g + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2*a**5 - 17*a**4\/4 - 2*a**3 - 1076. Determine q, given that h(q) = 0.\nAnswer: -3\/10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 12392*u**2.\nAnswer: -4*u**2*(u - 3098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**6\/18 + 2*u**5\/15 - u**4\/6 - 4*u**3\/9 + u**2\/6 + 2*u\/3 - 12. Let z(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 140 + s - 65 - 2*s**2)*(968 + 46*s**2 - 968).\nAnswer: -92*s**4 + 46*s**3 + 138*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3 + 30*d**2 + 16*d + 36. Let c be q(-8). Does 44 divide ((-12)\/6 - 0)*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 56*i + 211 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -9323209?\nAnswer: -4\/9323209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9, -3, 0.1, -0.26, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497867 not equal to 2497755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = k, 14*k + 16 = 10*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a + 3*a)*((248 + 240 - 491 - a**3)*(8 - 3 - 3) - 3*a**3 - 3*a**3 + 3*a**3) in the form j*a**4 + k + f*a + w*a**3 + z*a**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 19*h + 3*h - h - h + (0 - 3 + 1)*(2*h + 3*h - 4*h) + 2*h - 3*h + 0*h + h - 1 + 1)*(h + 3*h - 2*h + (-1 + 1 + 2*h)*(-1 + 2 + 0)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 424*m - 446*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 21*i - 8. Suppose 5*z - 45 = -5*p, 0 = -4*p + 3*z - 0*z + 22. Let a be d(p). Is a > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37291545 and 17402721.\nAnswer: 261040815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 155?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 1\/7 (c) -7 (d) -13315 (e) -1\/5 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1838958132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from mdrfqrffvmfrf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.16 + -10.47. Sort q, 1\/6, -3\/5, 0.03 in ascending order.\nAnswer: -3\/5, q, 0.03, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 579*q**2 + 5*q + 11. Let u(d) = 580*d**2 + 3*d + 8. What is 2*b(x) - 3*u(x)?\nAnswer: -582*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 917, 952, 1015, 1100, 1201, 1312?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from kuklluulklu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - t - 6*j = -48, 0 = 436*j - 431*j - 15 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*o - 21, 1 = -2*o - 3. Let y be (-16)\/(-1) + (-16)\/4. Let k = c - y. Solve r - 17 = -3*g - g, r = -k*g + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-31)\/2)\/((-782)\/(-207)*-9) and (-1)\/(-4) + 114\/108?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1171 - 27*f - 1171)*(0*f - 3*f**2 + 0*f).\nAnswer: 81*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128782063\/5936 - -303675\/14. Let l = 11\/53 + p. What is the common denominator of l and (-1)\/(-1) + (-57)\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*d = -0*z + 95, 5*z - 5*d = 165. Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*x**3 - 215 - 190 + 19*x**2 + 50 - 10*x**2 - 10*x**2 wrt x?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpaa when four letters picked without replacement from {w: 2, a: 4, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 2*v - 1. Let m be (-1)\/(-5) + (-24)\/20. Let l be d(m). Let b = -6 - -4. Put 1, l, b in ascending order.\nAnswer: b, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*h + 139, 3*h + 96 + 46 = 4*x. Let a = h + 48. Factor 2*z**2 - 4*z**2 - 3*z**a + 5*z + 10*z.\nAnswer: -5*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 5, i: 7}. Give prob of picking 1 i, 1 b, and 2 e.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9578*y - 346272 = -87666 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 582*x**2 - x + 12. Let y be -6 + 5 + -5 + 1. Is p(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2, -5*t - 13 = 5*p + 37. Let d be 0*(-3)\/t + 92. Suppose -c - 3*c = -d. What is the remainder when 44 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*m - 26, 2*r - 1 + 10 = -5*m. Let v be (-25 + 2)*(-14)\/r. Let a = v + 69. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 94, 154, 232, 334, 466, 634?\n\"Answer: y**3 + 41*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -91, 13, -2, 8 in decreasing order.\nAnswer: 13, 8, 5, -2, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 5*p + 4. Let t be v(4). Let o(a) = -a**2 + 6. Calculate o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3939*p + 449*p + 711*p)*(4 - 2 + 0)*(-4 + 4 - 3*p) as i + s*p + a*p**2 and give a.\nAnswer: 16674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = 114*t + 900. Let q = 10 - 14. Which is the second smallest value? (a) q (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545312643 divided by 1?\nAnswer: -545312643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 1022*t - 7 - 25.\nAnswer: 1022*t + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 1302161387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/230*8 + (-2)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(((sqrt(2548)*2*-4)\/(sqrt(24)\/(sqrt(18)\/sqrt(3)) + sqrt(16)\/sqrt(16)))**2*6 + 1).\nAnswer: 2609176\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9437*n = 9400*n - 518 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + h. Let w(q) = 3*q + 3*q + 0*q + 2*q - 9*q. Calculate g(a) - 3*w(a).\nAnswer: 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1833 = -5*d, -3*u + 1369 = 3*d - d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 66002046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 1 + 1 + (-3*r - r + 3*r)*(5*r + 3*r - 6*r) + (1 - 1 + 3*r)*(-2*r - 3*r + 7*r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 18*m + 42. Let x be p(-20). Let y = -33.4 - -6.4. Let v = -26 - y. Which is the fourth smallest value? (a) v (b) 3\/5 (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 21 = -29. What is the nearest to q in 0.5, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/224*469)\/(((-621)\/36)\/(-23))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10 - 27\/(-15). Is (-428)\/(-8) + q\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57415\/(18\/(-12)*(-11)\/33*5)?\nAnswer: 2, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18653911 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89975280?\nAnswer: 2, 3, 5, 233, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3\/3 - 5*q**2\/2 + 8*q - 5. Let c be t(-6). Suppose c*o = -5*r + 39, 0*o + 3*o - 41 = -4*r. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a**2 + a - 4. Let w be n(-3). Suppose 0 = -5*q - 3*m + 57, q + m + 4*m = w. Suppose 4 = -5*x + q. Solve -3*p - x = -10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(108)\/sqrt(64))\/(sqrt(9) - sqrt(900)*2))**2.\nAnswer: -5773\/5776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and 207.3.\nAnswer: 207.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 47*r**2. Let d(n) = 2349*n + 2. Calculate d(p(j)).\nAnswer: 110403*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 142*u**2.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 6\/4)*-4. Let t(m) = -201*m**3 - 3*m**2 - 5*m - 9. Is t(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-15) + (-6460)\/850*((-4)\/(-8))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30343334 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let a(t) = 2*t - 5. Let z(f) = a(f) - 4*g(f). Let s(x) = 2*x + 4. Suppose 3*m + 2*m = -25. Determine m*s(j) - 4*z(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7509*3 + 0 + 1. Suppose -30*x + 7*x = -58098. Let s = j + x. What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*w - 14*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 1, 4, 2, 406, -3.\nAnswer: -56, -3, 1, 2, 4, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 385*l**5 + 235335*l**4 - 175350*l**3 - 569300*l**2 - 85560*l + 73440 = 0.\nAnswer: -612, -1, -6\/11, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x + 3*l = 50*x - 2054, 4*l = 4*x - 2052. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:43 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) -0.046 (d) -0.6 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(3)*1 - sqrt(3) - sqrt(3)))\/sqrt(9) - (sqrt(8)*5)**2*2 - -1*(1*sqrt(200) + 3 + -1).\nAnswer: -398 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 12*w - 8. Let x(c) = 1 + 145*c - 3 + c**3 - 16*c**2 - 129*c. Let q be x(15). Determine u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 5333*q**5\/60 - 5369*q**4\/24 + 42*q**2 - 4*q - 3. What is the second derivative of p(k) wrt k?\nAnswer: 10666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 14. Let f be k(4). Let t be 3 + (2 - f) - -5. Let o(n) = 2*n - 15. Let u be o(t). Solve -b - 1 - u = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/15 - 2*n**4 - 14*n**3\/5 + 166*n**2\/15 - 32*n\/5 = 0.\nAnswer: -3, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1870)\/2057)\/(2\/(-11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 + 9. Let x(s) = 3*s**2 + 8. Give x(k(v)).\nAnswer: 3*v**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g**3 - 5*g - 53. Let t(b) = 19*b**3 - 7*b - 79. What is 7*s(x) - 5*t(x)?\nAnswer: -4*x**3 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/930 and 5\/2.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166815?\nAnswer: 3, 5, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.098 - -0.11. Let q = d - 0.0119911. What is q rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(153) + sqrt(153) + (-2*sqrt(153) - sqrt(153))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6882 divided by 6?\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2 + 1 + (-2 - -1)). Suppose 3*n = 19 - c. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:30 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.7 to 0 dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892 a factor of 1162408072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 + 5*r + 3. Let d be h(-4). Suppose -d = -5*z - 3*q, -q + 0 + 5 = 4*z. Solve 4*k - 4*s = 12, -18 = -z*k - 4*k + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 752087227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-5))\/(8\/(-520) + 0). Let m(i) = -i**3 - i**2 + i - 1. Let x be m(-3). Let s be 164\/x + (-2)\/(-7). Solve -s - t = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -933351, -933357, -933365, -933375, -933387?\n\"Answer: -f**2 - 3*f - 933347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 6. Let j be q(-1). Suppose j = -5*w + 6*w - 490. Let x = w - 283. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 62*i. Let l be p(-31). Which is greater: 2\/371 or l?\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 117. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -735, -1110, -1485, -1860?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:09 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/49948 and -63\/2?\nAnswer: 49948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, -4, -1, 2 in ascending order.\nAnswer: -14, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -877.7553.\nAnswer: -874.7553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/33137 and 151\/61176.\nAnswer: 795288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7819*p - 3956 + 3956.\nAnswer: -7819*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 14*z + 19. Let l be j(-13). Differentiate -2 + l*o**2 + 4 + 1 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 13*b**2 - 12*b - 4. Let k be d(-12). Let p(m) be the first derivative of m**3\/3 + 2*m**2 - 4*m + 20. Determine p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.420799551 rounded to five dps?\nAnswer: -0.4208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190932 is divided by 27129?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 46 - 70 = 0. Sort -7, 1, o, 5 in descending order.\nAnswer: 5, o, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 111*k + 21. Let n be u(8). Let i = 365 + n. Round i to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 4) to base 2.\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*a - 333, -4*a + a - 207 = -3*d. Calculate the greatest common divisor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 + 6. Let m be g(7). Let l = m - 7. Let y(s) = 164*s - 986. Let t be y(6). Sort l, 2, 5, t in descending order.\nAnswer: 5, 2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3))\/(8\/(-2136)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1817, -3615, -5413, -7211?\nAnswer: -9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3027, -0.1, 4, 21, 11 in ascending order.\nAnswer: -3027, -5, -0.1, 4, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44421 and 974049.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324 + -459. Sort -1\/5, 4, g in increasing order.\nAnswer: g, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 28*q + 2. Let g be t(22). Let o = -109 - g. Calculate the greatest common factor of 42 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73918 is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -291, -617, -1139, -1857, -2771, -3881?\n\"Answer: -98*l**2 - 32*l - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/4*1\/(-2). Let p = m - 177\/20. Sort p, 0.1, 0 in descending order.\nAnswer: p, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*a - 461*a + 182*a**2 + 5 + 891*a in the form y + p*a + n*a**2 and give n.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 8, -4512, -0.02, 31 in decreasing order.\nAnswer: 31, 8, -0.02, -1\/2, -4512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 8, 0*d + 3*d = -h - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/180 + 5*p**2. Suppose w(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 0.6. Let g = 0.4 + x. Let p = -0.5 + g. What is the nearest to -2\/7 in p, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-11)\/22)\/(1\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - w = -1398, 5*c - 11*w - 6188 = 754. What is the least common multiple of c and 5?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 33*v**3 + 3*v**4 + 6 + 4*v - 2*v**4 + 33*v**3 as y*v + x*v**4 + u + a*v**2 + t*v**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 + 5 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/108)\/((-46)\/8073*-39).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/18 - (-781)\/99. Suppose -9*k + 5*k - 18 = -o, k = 2*o - m. Solve -4*c + 5*w = 1, 3*w + 17 = -o*c - 0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -18, -7, -5 in ascending order.\nAnswer: -18, -7, -5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let g = -257 + 257. Suppose g = -4*r + 3*r + w. Solve 4*v - 2 = r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Let w = c - -1. Let z = w + -1.00012. Round z to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:02 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -121. Solve -w*d - 2*c = -d + 6, -4*d + 4*c = -24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 25 = -27*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.159305 tonnes to micrograms.\nAnswer: 7159305000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89630226 - 46668482. Suppose s - t = -10461734. Suppose 5*i = 2*a - s, 0 = 5*i - 2*i - 2*a + 19500010. Round i to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -19*s + 630. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -39, -2\/17, 153, -2\/11, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9*336\/288)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160085 - 79930 = -891*d + 194*d for d.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*2*(-8)\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1754 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*p**2 + 1 + 5*p**2 - 2*p - 11*p.\nAnswer: 116*p**2 - 13*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/3 + q**3\/3 + q**2\/6 - 4. Let n(a) = 0. What is a?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 10*b + b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 933*a + 926*a = 128, 4*y - 94 = 5*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 17, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l - 364 = 632 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 7\/6*w**3 - 1\/24*w**4 + 0*w + 3*w**2 + 0. Is 3 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72531.96 litres in millilitres?\nAnswer: 72531960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 8. Let l be s(-2). Suppose -n + 2*k = -k + l, 5*k - 20 = 0. Solve -n = 4*r + p + p, 0 = -r + 5*p + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {j: 8, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 + 12005 = 276*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1371*k + 155517. Calculate f(112).\nAnswer: 1965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9269 and -12?\nAnswer: 9281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013681 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.991047 weeks in hours?\nAnswer: 670.495896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5412762 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 + 7*l + 2. Let m be r(5). Suppose -m*g = -1521 - 2763. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10123, -10121, -10117, -10111, -10103, -10093?\n\"Answer: h**2 - h - 10123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1565220 by 380.\nAnswer: 4119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86358*b - 27*b**3 - 86137*b + 172495*b.\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 + (10 - 3). Solve 2*q = 2*j + k, 2*q = 4*j + 2 + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11 from -14668736.\nAnswer: -14668725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44349 is divided by 143?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 5*i - 39, -3*i - 2*y = -26. What is the common denominator of -25\/4 and 2\/i + 1413\/(-396)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 523, -21, -3 in decreasing order.\nAnswer: 523, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 0.2 (c) -3878 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 24*g**2 - 4*g - 3. Let w be c(-1). Suppose -w*u + 66 = -19*u. Let z(h) = 9*h**2 + 14. Is z(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 + 2*h - 5. Let k be d(4). Let z(r) be the second derivative of r**4\/6 + r**3\/6 + 3*r**2\/2 + 5*r. Is z(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3811735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 28*k**2 - 27*k - 41. Let r be y(29). Let a be 18 + 2*2\/4. Let t = a + r. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-135)\/(-8))*(-12)\/8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 588903 = 178676. List the prime factors of z.\nAnswer: 23, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/21 - 38*o\/21 + 40\/21.\nAnswer: -2*(o - 1)*(o + 20)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4415 - -4463) + -1 + (2 - 2) + 1 + 4\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -2 + (-10 - (-31 - (-22 - 4))) - 52.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 9, -1\/8, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.45 (b) -1\/4 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78610*d**4 + 15*d**3 + 21*d**2 - 129*d + 636?\nAnswer: 1886640*d + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2.5, -13743 in increasing order.\nAnswer: -13743, 1\/4, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 372649536 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/432732 and -2\/15?\nAnswer: 2163660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*i*l**3*x + 2*i*l**3 - 3*i*l**2*x**2 - 2*i*l**2 - 423*i*x - 219*l**2 + 38 wrt x?\nAnswer: 51*i*l**3 - 6*i*l**2*x - 423*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 424940561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 10*v - 15. Let x be w(-6). Suppose 0 = x*n - 3*n - 18828. Let f = -9918 + n. What is f rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 1\/5 (b) 4 (c) -1\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxox when four letters picked without replacement from xmxxomxooom.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-85)\/20 + (-1)\/(-4). Let i = u - -4. Suppose 26*v + 20*v + v = 188. Solve 3*n + 20 = v*h, 4*n - n = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-216)\/(-288)*((-3 - 947355\/(-9)) + -4).\nAnswer: 78941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/29 (b) 22 (c) -2\/265 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**5\/20 + b**4\/3 - b**3\/6 + b**2 + 82*b - 19. Let c(z) be the first derivative of s(z). Determine c(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907636831 a multiple of 8613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15864007 is divided by 12000.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 + 458480*r + 458475 = 0.\nAnswer: -91695, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1\/9, -0.3, -1.08, 5, -5 in decreasing order.\nAnswer: 5, 1\/9, -0.3, -1.08, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -111807 at most as big as -110862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/785115 and -52\/247311225.\nAnswer: 247311225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114076 is divided by 496?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.439732ng?\nAnswer: 0.000006439732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 - 221 = -2*c. Suppose 0 = 2*l - 2*n + 207 - 657, -3*n = -l + c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1629490.\nAnswer: 2, 5, 47, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -377 + 152. Let z = 226 + f. Let l = -1 - -1. What is the nearest to z in 6, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 7. Give x(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973439 to the power of 1\/2, to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-63)*105 - 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 + 2*u**2 - 7*u + 2. Let f(m) = -12*m**3 + 5*m**2 - 20*m + 6. Determine 3*f(y) - 8*r(y).\nAnswer: -4*y**3 - y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37137 divided by 37137.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18467 in 0, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + s**3 + 41 - 305*s**2 - 28*s**2.\nAnswer: s**3 - 333*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 2609\/30 (b) -1\/7 (c) 7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*u = -35, o - 5*o = 2*u - 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 948 = 2*t, -t + 474 = 7*d - 8*d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.8 (c) -0.23 (d) -2\/5 (e) -58 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*12\/(180\/(-75)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**4*t**3 + 5*r**3*t**3 + 79*t**3 wrt r.\nAnswer: -8*r**3*t**3 + 15*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29157*h*p**2 - 33742*p**2 wrt h.\nAnswer: 29157*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 205\/21 + -38\/7. Calculate the common denominator of 97\/10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 99*o + 0 + 0*o**3 + 11*o**2 + 0*o**5 - 8*o**6 + 1\/12*o**4. What is the third derivative of i(j) wrt j?\nAnswer: -5760*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42719101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 976081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 4521*t**3 + 27095*t**2 + 22575*t.\nAnswer: t*(t + 1)*(t + 5)*(t + 4515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 840 + 41*s**2 - 1680 + 313*s + 840 - 306*s as o*s + l*s**2 + b and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*y**3 + (4 - 11 + 6)*(22*y**3 - 113*y**3 + 10*y**3).\nAnswer: 79*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 + -390. Suppose 3*r + 0*w + 12 = 3*w, -r = w. Let q(f) = -5*f**2 - 4*f + 5. Let j(o) = -4*o**2 - 3*o + 4. Let k(t) = r*q(t) + 3*j(t). What is k(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 11:03 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12021809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*h**5 - 4*h**4 - 14*h**2 + 101*h?\nAnswer: 12720*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -10 - 42) + -13 + 18.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 302 + -2?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 15*b + 30. Let y be f(13). Suppose 13 = 3*r - y*w - 143, 0 = -w. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.67178291 rounded to one decimal place?\nAnswer: 40.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -37 (b) 0.03 (c) -24162 (d) -5\/4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 3) + 4 + 4 + -11 - 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = v - 2, 3*v + 18 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (278*-3)\/(-3). Let x = q - 185. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142024 + 2144011?\nAnswer: 3341040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, n: 5}. Give prob of sequence ww.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 1. Let k be s(6). Let p(f) = -2*f**2 + 3*f + 9. Let l(a) = a**2 - 2*a - 5. Let v(y) = k*l(y) - 3*p(y). Suppose 0*b - 3 = b. Determine v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Let g = -10 + 9.9. Let z = 104\/255 - 2\/255. What is the biggest value in z, a, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -5 (c) -3 (d) -8 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n - 6. Let q be m(-4). Determine a so that -28 + 54*a**3 - 312*a + 141*a**3 - 8 - 621*a**q + 48*a**3 = 0.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 109. Factor n**4 + n**5 - 5*n**y + 16*n**2 - 4*n**2 - 9*n**2.\nAnswer: n**2*(n - 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25510 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -6.2. Let j = 0.80037 + m. What is j rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1)*-1 + -217. Let a be 0\/(-1) - o\/10. Let s(g) = -34*g - 1. Let r be s(-1). Calculate the greatest common divisor of r and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265967 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.44 - -0.42. Which is the fourth smallest value? (a) 1\/3 (b) 4 (c) p (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -3706724060197?\nAnswer: -3706724060197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -3)\/(7\/42). Solve 3*w + f + 10 = 6*w, 3*w + 3*f = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*w - 1583 = 1427, 0 = 4*j + 4*w - 2436. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-180)*4)\/(2*8\/(-60))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 4*f + 960 = 0. What is the smallest common multiple of f and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(2\/21))**(-42) assuming d is positive.\nAnswer: d**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvb when three letters picked without replacement from vbvhvzfbvvzb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 - 3*k - 16. What is v(10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 108. Sort v, -2, 4, 1 in decreasing order.\nAnswer: 4, 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 + 83*b - 794. Calculate c(7).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 22. Let u = d - -22. Let q = -8.4 + u. Which is the closest to 0? (a) -1 (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/16, -1, 378, 2\/7, 1.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 - n**5\/15 - 5*n**4\/24 - n**3\/2 + n**2. Let m be 0 - (4\/(-4) - -4). What is v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 92. Suppose -2*v - 3*v = -145. Let f = k + v. Solve -12 = -3*n + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 639, 29\/5 in decreasing order.\nAnswer: 639, 29\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11742 and 73851?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 16*w**2 - 9*w - 3. Let g be z(13). Suppose h = -3*p - 2*h + g, -5*p + 4*h = -618. Calculate the highest common factor of p and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 7067 (b) -2\/3 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492 (base 16) in base 10?\nAnswer: -5266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20960*d + 21346*d - 15054 = 0 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 times 109692?\nAnswer: 40037580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + u = -40, 2*u = 10. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 116, 253, 436, 659, 916?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {j: 6, t: 3, h: 5, p: 1, e: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-1056)\/27))\/((-12)\/(8*(-77)\/28))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i\/(i*i**(-2))))*i)**46 assuming i is positive.\nAnswer: i**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-40)*(t**(1\/2))**(-4) assuming t is positive.\nAnswer: t**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 42 + (-26 - (-3 + -10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 + 318986*m - 1276050. Calculate z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b. Suppose 0 = -b*j - j + 2. Factor d**2 - d**2 - 4*d**2 - 2*d - j*d**2.\nAnswer: -2*d*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2930)\/(-15) - (1 + 10\/(-6)). What is m rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79115 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. What is the derivative of c + v + 0*c + 0*c wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 22 - 21*o**3 + 23*o**2 + 16*o + 34*o**3 - 12*o**3. Is 22 a factor of v(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**4 + 5*k**3 + 5*k**2 - 4. Let o(u) = 4*u**4 - 4*u**3 - 4*u**2 + 3. Let q(f) = -4*h(f) - 5*o(f). What is the derivative of q(t) wrt t?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-88))\/3 - 31\/11. Let i be 2\/((-6)\/j) - 2. Which is bigger: i or -42\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**6\/g)*g\/(g\/((g*g*(((g*g\/(g*g**7*g))\/g)\/g)\/g*g)\/g*g)))\/((g*g*g**(-2\/5)*g)\/g)**23 assuming g is positive.\nAnswer: g**(-244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(27\/(-36)). Factor 20*f**j - 20*f**3 + 230*f - 8*f**3 - 222*f.\nAnswer: -4*f*(f - 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Let s = 2.87 - l. Let m = 0.18 + s. Which is the third biggest value? (a) -0.2 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/17424 and -87\/3872.\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -74.755 times -0.4\nAnswer: 29.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/5*1 + 5 - -2. Is 2\/875 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*j + 20*j - 2*j**4 - j**2 - 14 + 14*j in the form a + x*j**4 + d*j**2 + c*j + f*j**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/11)\/(p**(-1\/8)*p))\/(p\/(p\/p**(-37)*p)*p*p)**(-40\/9) assuming p is positive.\nAnswer: p**(-14189\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 112 = 5*c - 5*x, 3*c - 36 = -2*x. Suppose 61 + c = 5*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 67.76 (c) -2\/5 (d) -4 (e) -0.1 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x. Let n be j(-1). Let g be (-8)\/n*(-3)\/(-6). Differentiate -5*v**3 - v**2 + v**2 - g + 8*v**3 wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51971101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016733059773 rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 10. Let v(z) = z - 1. Calculate -p(a) + 2*v(a).\nAnswer: 7*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 1. Let n be s(-6). Suppose 0 = -4*b + 4*h + 488, -4*h + n = h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 37*j + 40*j + 30, 0 = 2*j + 8 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 434\/3, 4, 3, 21, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 11*z - 15. Let f be l(10). Let m be (-2)\/((-16)\/(-7) - 2). Let g be (-15)\/f + 24\/m. Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a0852 (base 11) in base 9?\nAnswer: 244216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 75179 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 457, 739, 1291, 2203, 3565?\nAnswer: 5467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -1\/4 (c) -5 (d) 0.1 (e) -5676\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 0.4, -0.08, -5, -2\/239, 39?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = -3*p + 13*n + 5477, -2*n - 5470 = -3*p. Is p a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5370 and 44229110.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 13*k**2 + 24*k + 26. Let b be l(-11). Suppose -b*j - j - 2*g + 4 = 0, j - g - 5 = 0. Solve -4*x + j*x + 5*a = 31, -4*a = -20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88933 = 6*s - 24869. What are the prime factors of s?\nAnswer: 13, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 62\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107 and 2154520114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*p = -328*p, 4*p - 4 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 + 6*f - 9. Calculate y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 - 7*o - 5. Let b = 1 + -1. Determine p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**43*(r**(1\/12)*r)\/(r*r**(-2\/13)) assuming r is positive.\nAnswer: r**(-13157\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2 + 1 - 3*m + 1.\nAnswer: -3*m + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 2972*f = 2969*f - 5, 40 = -8*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/13260 and 56\/6885.\nAnswer: 358020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:07 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 29 = -9. Let r = z - 6. Put -5, 3, r in descending order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141 and 147?\nAnswer: 6909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-21)*280\/64)\/((-38)\/(-304))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 - 141.06. Which is the smallest value? (a) n (b) 12 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - k = 0, 2*k - 3 = -11. Sort -1\/11, z, 1\/4 in decreasing order.\nAnswer: 1\/4, -1\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 + 288. Let r be (-42)\/(-30) + (-4)\/10. Let o be (r\/(-2))\/(-1)*4. Solve b*v - v + o = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 200093.\nAnswer: -800372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*f + 3. Suppose 3*v - 160 = v - 2*p, -f*p - 228 = -3*v. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 46. Suppose -2*o + 5 + 17 = -5*l, -o + d = l. Let b be (-84)\/o*(1 - 5). Solve n + 4*a = -9, -5*n + 2*a + 2*a - b = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 36. Let j(q) = q**3 - 10*q**2 + 7*q + 22. Let t be j(r). Find the first derivative of 8 + 13*z**t - 22 + 1 wrt z.\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1331) + (-1 + (sqrt(1331)*1)**2 - sqrt(1331)) - ((-4 + 1*sqrt(1331))**2 + sqrt(1331)) - (0 + -2*sqrt(1331) + sqrt(1331) + -4))*2.\nAnswer: -704*sqrt(11) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 - 3. Let l = 178 + -183. Let k = -435 + 438. Which is the biggest value? (a) l (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 + 12*v - 65. Let w be a(4). Let j be 8\/1 - 2 - 2. Let p be 2\/(-3 - -2) + -2. Sort w, p, j in increasing order.\nAnswer: p, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/3*(-196)\/4900*-2950.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-260)\/(-858)*143*(-318)\/(-2) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 436?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32976\/76 - (-8)\/76. Suppose 1249 + b = 17*i. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhggc. What is prob of picking 1 c, 1 z, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 10:07 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/2*t - 3\/2*t**3 - 3*t**2 + 0 = 0 for t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 52\/5*g**2 - 8\/5 + 4\/5*g + 24\/5*g**3 = 0. What is g?\nAnswer: -2, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 + 2*j**2 - 5*j**2)*(-1168*j - 2999 + 2999)*(4*j - 2*j + 0*j) to z*j**3 + f*j**2 + n*j + h + o*j**4 and give o.\nAnswer: -2336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 102\/1675, -0.3, -0.5?\nAnswer: 102\/1675","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4139.2 - 2\nAnswer: -4141.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*j = -20, j + 0*j - 60 = -2*b. Let z(k) = k - 2. Let g be z(7). Suppose -g*o + 4*o + 70 = 0. What is the highest common divisor of o and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 16*z**3 - 74*z**2 - 36*z + 114. Calculate b(4).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2*u - 2*f - 12, -4*u - 2*f + 28 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((5 - 17)\/4)\/((-1)\/1). Is 80 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(90\/32)*(-897)\/598\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:31 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-34)*g**(11\/4)*g**7 assuming g is positive.\nAnswer: g**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**5 - 56*u**4 - 93*u**3 - 54*u**2 - 8*u = 0. What is u?\nAnswer: -4, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 149392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*a + 58, 5*l - 316 = 4*a - a. Calculate the lowest common multiple of l and 6*(-54)\/(-16) - 10\/40.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 25. Suppose -l*m = 3*r - 55, 2*r + 2*m = 17 + 21. Let 24*a**2 - 5*a - r*a**2 - 1 - a**4 + 3 + a**3 = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 16*b**4 + 13*b**4 - 4*b + 10*b**2 - 2*b.\nAnswer: -3*b*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 18*q = 18. Suppose 9*l = 12*l - q. Suppose 5*j = l*j. Solve 6*r - 2*r = j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 - 14*r - 43. Let c be l(-4). Suppose -4*h + 8*h = 32. Suppose -h*y = -c*y + 1195. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 2. Give x(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geee when four letters picked without replacement from {g: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4*s = 2*x + 228, -x - 533 = -9*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l**2 + 0*l**2 + l**3 - 13*l**2)*(-3 + 2*l + 3).\nAnswer: 2*l**4 - 54*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*y + 3 = -1, 4 = y. Let q(f) = -3*f + 3. Let d(h) = 1. Suppose 5*n + 8 = -3*n. What is b*d(p) + n*q(p)?\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -30345*a - 16. Suppose -5*u - 15 = -4*i + 2*i, 0 = -u - 3*i + 14. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93, -152, -219, -294, -377, -468?\n\"Answer: -4*p**2 - 47*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 14.8\nAnswer: -11.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let a be l(-5). Let n(p) = -4*p + 21. Let y be n(5). Suppose -a*o + 13 = y. Let m(f) = -f**3 + 3*f**2 + f - 2. Give m(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7973 is divided by 186.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d**2 - d**2 + 10*d**2)*(1 - 1 - 2*d).\nAnswer: -20*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 3151?\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-132 + 18 + 17 + -7)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -7, -2\/19, -1 in descending order.\nAnswer: 0.1, -2\/19, -0.2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -5, -407 in increasing order.\nAnswer: -407, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/(-165) - 36\/(-5). What is the second smallest value in -1, x, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 7) to base 13\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = 3*f, -22 = -4*d - 0*f - 2*f. Suppose d*u + 8 - 26 = 0. Solve 3*o - u = a, -3*o - o = 2*a - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38642 (base 11) to base 13.\nAnswer: -1c262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggyygggggugyggu. What is prob of picking 2 y and 1 g?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 4*q - 2. Let w be 3*(16\/6)\/2. Let t be z(w). Let g(m) = -m**3 - 2*m**2 + m - 1. Give g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200313103 (base 4) to base 9.\nAnswer: -664218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t + 4*t - t - 4*t + (2 - 4 + 0)*(2*t + 0 + 0) + 4*t - 25*t + 191*t)*(-3*t - t**2 + 1 + 4*t + 0*t).\nAnswer: -166*t**3 + 166*t**2 + 166*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 - 793*o**3 - 2*o**2 + 76223*o wrt o?\nAnswer: -36*o**2 - 4758*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*r + 96 = 97, 0 = -2*q - 29*r - 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/11505 and -20\/1239?\nAnswer: 80535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6*-4)\/(-3) - 3. Let k = j - 6. Find the common denominator of -21\/16 and (k\/(-2))\/((-7)\/413).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 3. Let j(r) = r**3 - 7*r**2 + 5*r + 3. Let s be j(6). Let o be u(s). Solve -3*q - o*f = -5*f - 4, -4*q = 5*f - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/23)\/t*t**(-17\/7)*(t*t\/(t**(-2\/3)*t))**47 assuming t is positive.\nAnswer: t**(36200\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -1)*108\/48. Let v = i + -6. Let z(r) = r - 1. Let s be z(v). Solve s*j - 4 = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 30*m = 31*m + 3358, 5*v + m - 4202 = 0. Let h = v + -781. What is the highest common factor of h and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3403\/4 - -10217\/12. Let w(i) be the second derivative of 4\/9*i**3 - b*i**2 + 0 - 1\/9*i**4 - 15*i. Find a, given that w(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352235 (base 6) to base 14\nAnswer: b0ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -9*k + 4*k - 30, 3*k + 34 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(1*sqrt(2057) - sqrt(2057)) - ((-1*sqrt(2057))**2 + -3)) + 4*(2*sqrt(2057) + 4).\nAnswer: -2037 + 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1694)*-1 + sqrt(56)\/(sqrt(4)*-1)))\/(-3*sqrt(162)*-1*3))**2.\nAnswer: 2800\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*z = 7*p, -2*p + 2*z = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 6314 = -63*i. Let w = -907 - i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -156, -165, -178, -195?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.07786 - 0.07786. What is the second smallest value in -1\/3, f, 2\/3, -30, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79652303 to the nearest integer?\nAnswer: 8925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -9*c**2\/2 + 155*c - 3040. What is n(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*r + 504 - 3007 = -101*r + 4757 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3215 is divided by 455.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (sqrt(19)*-1 + 2 + sqrt(228)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 52 = -36 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.15 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 302972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/4*(-77)\/231.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120\/(-36)*(-4656)\/5.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190534523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -9. Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 5*a + (-2*a - a + 5*a)*(-5 + 4 + 3))*(-5*a + 3*a + 3*a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(12) - (sqrt(12) + sqrt(48))))\/(sqrt(2) - -1*1*sqrt(2)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8\/5, -25\/47559, 1?\nAnswer: -25\/47559","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -1. Let s = 377.9 - 379.2. Which is bigger: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.7 and 66.\nAnswer: -2224.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 2 + -5 - 3. Let g(c) = c**3 + 10*c**2 + 8*c - 8. What is the units digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 2868.\nAnswer: 2868.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 7*k + 3. Let f be s(6). Suppose -n + 3*a = -f, -4*n + a = -6*n - 17. Let o(w) = w**3 + 5*w**2 - 10*w - 8. List the prime factors of o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 142585.1mm?\nAnswer: 0.1425851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36200 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39071 + -2344097\/60. What is the common denominator of u and -127\/984?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*28\/(-24)*2. Suppose -1 = -r*p - 8. Let k be (-3 - 22\/4)\/(p\/2). Calculate the highest common factor of k and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3483\/86)\/((-234)\/(-260))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + j**5 - 4*j**5 + (-2*j - j + 2*j)*(-4*j**4 + 0*j**4 - 4*j**4).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmyy. Give prob of sequence myqy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/4657371?\nAnswer: 1\/4657371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -742 (b) 4 (c) 3 (d) 0.3 (e) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48014531, 48014533, 48014535, 48014537, 48014539, 48014541?\n\"Answer: 2*t + 48014529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -553004 + 6136?\nAnswer: -543535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2040829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/334 or -5\/6?\nAnswer: -5\/334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/213293 and 141\/1572740?\nAnswer: 1275492140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4918 + 4*f - 4918.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppbppbppppppbpbppp. Give prob of picking 2 p.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijb when three letters picked without replacement from ijljibjljjjiiijjijij?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 110, 163, 216, 269, 322?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 6 + -3 - 3. Suppose g*f + 49455 = q + 143203, -37489 = -2*f - 3*q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2843*k**3 + k**2 - 117*k.\nAnswer: -17058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from {t: 1, z: 1, m: 9, e: 3, r: 4}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 432 + -215. Let f be ((-93)\/h)\/(15\/(-7) - -1). Which is the closest to -1? (a) -1\/6 (b) 2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqvhvgqqf. Give prob of sequence gfv.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113903696 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*y + 5*y + 108 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 0*t**2 + 4*t**2)*(t + t - t)*(433*t**2 - 49*t**2 + 194*t**2).\nAnswer: -578*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (-70)\/(-5) - -10. Suppose h = -b*m + 8, -3*h = 2*m + 26 - 71. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 - 3\/1 - 3. Let f = t + -10. Let h be (-6)\/(-4)*f + 4. Solve n - h = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5509\/31165 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nww when three letters picked without replacement from {n: 3, w: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598236 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 7*l**2 - 9*l + 9. Let i be j(6). Let u = 269 - i. Let z = 51 + u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 15*p - 6*p - 16*p - 8*p + 44*p + 12*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i = 0. Suppose 0*f - 6 = 2*m - 2*f, i = m + 4*f - 2. Which is the third biggest value? (a) -0.5 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.04, 6, 4\/9, 35 in descending order.\nAnswer: 35, 6, 4\/9, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 27*q**2 + 22*q + 20. Let z be p(-26). Let h = z - 82. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2467, 4900, 7333?\n\"Answer: 2433*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 1 = -10*h, 1 = c + 3*h - 0*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/140*12)\/(((-18693)\/42)\/(-67))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310975 - 6*t - 3*t - 53238 + 156873 + 7*t.\nAnswer: -2*t + 414610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7682401035463943\/770 + -9977142302448. Let n = x + -9498122\/5. Let s = n + 1923\/11. Find the common denominator of s and 39\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 24*q**2 + 28*q + 4. Suppose 89*z - 24 = 81*z. Suppose -4*j + z*v = -2*v - 107, 0 = 3*j - v - 72. Is 17 a factor of b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:32 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, e: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 2*p**3\/27 - 4*p**2\/3 + 8*p + 1. Factor s(t).\nAnswer: 2*(t - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22117783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -20*a + 164. Suppose 0 = 7*w - 27 + a. Let u(s) = -3*s + 4. Give u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65765, -65765, -65763, -65759, -65753, -65745?\n\"Answer: d**2 - 3*d - 65763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 5, -0.0056, -40.64?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -4834.\nAnswer: -4833.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123239*x - 123216*x = 97 + 363 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a7 (base 15) in base 12?\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + -2.2. Let u be 3\/(-1)*1 - 318\/(-102). Which is the nearest to -2\/5? (a) u (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*k + f - 6, -k - 5*f - 29 = 0. Let r(w) = -w**3 + w**2 + w - 2. Let z be r(2). Is z at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5961345 and -31\/86.\nAnswer: 512675670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12) + 2\/6. Let o be 1 + (-12)\/14*(-6)\/(-4). Which is the nearest to g? (a) o (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) 0.5 (c) -5 (d) 42 (e) 4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1088*g**3*x**3 + 270*g**3 + 6*g**2*x**3 + 50*g*x**3 + 5*g*x - x**3 - 27*x wrt g.\nAnswer: -6528*x**3 + 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -144.08.\nAnswer: 720.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + 152*j**2 + 14*j + 352. Calculate y(-25).\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2) + 2 + -4. Let z = 3.7 + -0.7. Put -5, w, z in decreasing order.\nAnswer: z, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18142410479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2, -86, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2*(-3)\/6. Let a(g) = 10*g - 2 - g**y - 1 + 1. Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4846, 4847, 4848, 4849, 4850?\nAnswer: 4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*q**2 - 87*q**2 + 173*q**2 + 631.\nAnswer: -19*q**2 + 631","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -14629?\nAnswer: 3\/14629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-3087))\/(1\/(-3)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-190))\/(-1 - 189\/(-175)). Is -2 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-980 + 4915 - 2236 + 5873 + 5351)*(5*l**5 - 3*l**5 - 3*l**5).\nAnswer: -12923*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a**(-3\/10))\/(a*a\/((a\/a**12)\/a))**(-4\/3))**13 assuming a is positive.\nAnswer: a**(7553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1774*g*p**3 - 16*g*p**2 - 13815450*g*p + 116*p**3 wrt p.\nAnswer: -10644*g*p - 32*g + 696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 2 - (-1 - -2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*k**3\/4 - 307*k**2\/2 + 493*k\/4 + 55\/2.\nAnswer: (k - 55)*(k - 1)*(11*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 246*k**2\/5 - 13532*k\/5 + 13776\/5.\nAnswer: 2*(k - 164)*(k - 1)*(k + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, m: 1, n: 10}. What is prob of sequence xnm?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/4 + 2*f**2 + 2*f. Differentiate s(j) with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 2*f**2 - 2*f. Let k(d) = -16*d**3 + 9*d**2 - 11*d - 1. Suppose -h = 2 - 6, -25 = 3*m + 2*h. Let l(w) = m*v(w) + 2*k(w). Determine l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.8398 rounded to 1 dp?\nAnswer: 77.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - (2 + -3) - 1. Let z(f) = 3*f**2. Let i(t) = -19*t**2 - 4*t. Let u(r) = -14*r**2 - 3*r. Let n(o) = 3*i(o) - 4*u(o). Give s*n(v) + 6*z(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 1, o: 1, t: 2, k: 1}. What is prob of sequence kn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4907 and -0.5.\nAnswer: 2453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and 9\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8413 = -4*d + 9233, p = d - 4408. Suppose 0 = 2*g - 4*i - d, -5*i = -i + 20. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 6. Let p be ((-18)\/56)\/((-38)\/(1520\/30)). Which is the second biggest value? (a) p (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bb44 (base 15) to base 14.\nAnswer: -64376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.90385 millimeters in nanometers?\nAnswer: 18903850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460 is divided by 620.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 (base 10) in base 11?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*z - 1, 4*z = 4*q - 2*q - 6. Sort -8, z, 2.\nAnswer: -8, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (1 + -2)) + -1. Solve g + 4 = -j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1259\/42 - 211\/7. Let t be 3 + -5 - (-6)\/(-2). Let i = 4.5 - 4. What is the nearest to u in t, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216842*w**4 - 125768*w?\nAnswer: 2602104*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282 - -289. Let h(s) = -10*s + 66. Let x be h(c). Put x, 3, 0.2, -2\/7 in increasing order.\nAnswer: x, -2\/7, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + c - 3*c + 4)*((2*c**2 - 4*c + 4*c)*(-8 - 1 - 3) + c**2 + c**2 - 4*c**2).\nAnswer: 52*c**3 - 286*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 2*s + 1. Suppose -5*m - 20 = -l + 2*l, m = -l - 8. Let x be k(m). Solve -4*p - 4*q - 7 = q, 2*p - x*q = 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -0.01, -0.9, 13\/3.\nAnswer: -0.9, -0.01, 13\/3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322.2 + -320.2. Which is the closest to -0.8? (a) -3\/5 (b) 5 (c) 6 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436312?\nAnswer: 2, 54539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/5 (b) -45 (c) -12.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r = -40*r + 19. Let o(k) = k**3 + 19*k**2 - k - 14. Let w be o(r). Solve 7 = -3*v - 3*u - w, 2*v - 2*u = 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40419 = 22*h - 44391. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 6.3, -656?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -14. Is 12 a factor of ((-168)\/z + -5)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0) + 2 + 22. Suppose 0 = 2*q - 15 - g. Let h = 2456\/7 - 349. What is the common denominator of h and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2474807, 2474810, 2474813, 2474816, 2474819?\n\"Answer: 3*w + 2474804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from hcppppphcpzwecpce?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 506a (base 13) to base 16\nAnswer: 2b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -14359*m + 14365*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0858 and 0.7.\nAnswer: 0.6142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 5 - 2*b + 4. Let q be m(-4). Find the first derivative of -2*x**q + 0*x + 0*x + 2 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 6. Let y be d(-2). Suppose -y*v = 1826 - 14374. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -0.95, -0.3 in decreasing order.\nAnswer: 1, -0.3, -0.95, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 254030?\nAnswer: -254033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, -33, -50 in increasing order.\nAnswer: -50, -33, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 5, z: 9, n: 2}. Give prob of picking 2 h.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(1 + sqrt(72)) + 0 + -1 - (5 + sqrt(72) + -2 + -1 + -3 + sqrt(72)))**2.\nAnswer: 36*sqrt(2) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 10. Suppose 10 = -3*t - 2*h - 27, 4*h + 47 = -v*t. Let p be 13\/3 + t + 7. Sort p, 0.1, 4 in increasing order.\nAnswer: 0.1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 - 8*g - 5. Let i be y(-8). Let l = i - -4. What are the prime factors of (-11)\/((-1 + 2)\/l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m - o, -4*m - 2*o = -2*m - 6. Suppose -3*a - 15 = m, -4*v - 2*a + 2391 = -5*a. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 767070*z**2 + 29419819245*z.\nAnswer: 5*z*(z - 76707)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-11711243.\nAnswer: -46844972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14367 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4323259*a**2 - 3098*a + 26333. Let z(l) = -13946*l**2 - 10*l + 85. What is 5*w(i) - 1549*z(i)?\nAnswer: -13941*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/5 - 2*v**3 - 88*v**2\/5 - 24*v = 0. What is v?\nAnswer: -3, -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 150 = -16*b + 10*b - 10*b, 0 = 5*b - 3*c + 4*c + 55 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22233, -44559, -66885, -89211?\n\"Answer: -22326*z + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 11. Let o be z(9). Suppose -4*v - 3*u = 20, u - 5*u = -o*v + 12. Let m(t) = -3*t**2 + 3*t + 1. Determine m(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.6 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 85351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 4 - 7 - 1 as t*m + i*m**2 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - -30.99. Let n = -33 + f. What is the closest to n in 0.5, -0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 2385*j - 4758.\nAnswer: -3*(j - 793)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 12*r**3 + 41376*r**2 + 35562447*r - 178848135 = 0.\nAnswer: -3453\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 (base 11) in base 13?\nAnswer: -51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*n - 60, 0 = -18*n + 12*n + 3*v - 45 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 12*m**2 + m - 15. Let b be g(6). Let w = 163 - 94. Suppose 11*k = 8*k + w. Calculate the greatest common factor of k and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37786 is divided by 353?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/20 - (-4113)\/15. What is the highest common factor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5 + 8823*u**4 - 129672*u**3 - 5848188*u**2 + 5969040*u = 0 for u.\nAnswer: -20, 0, 1, 34, 2926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-450))\/((-2)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(3 + (0 - 1)). Let u be j\/(-2) - (-76)\/4. List the prime factors of (-4)\/8 + u\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a\/(a\/(a\/a**(-2))*a*a))\/a)*a**(-1\/26)\/a)\/(a*a**(-1\/14)*a*a)**(2\/19) assuming a is positive.\nAnswer: a**(-4657\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 4923626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5640 and 826660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Let w(s) be the second derivative of -1607*s**4\/12 + 2*s**2 - 145*s - 14. Give w(t(k)).\nAnswer: -6428*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, h: 1, k: 3, o: 2, u: 1, q: 3}. Give prob of picking 1 h and 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -123411002 (base 5) in base 14?\nAnswer: -11b2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28.94 from -2.65465665.\nAnswer: -31.59465665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -3. Let m be 10\/(-35) + (-12)\/(-91). Let g = -6 + 4. Sort a, m, g.\nAnswer: a, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220101020021 (base 3) to base 8.\nAnswer: 1651153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) + (-3 - -5). Suppose -w - q = -4. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = 15. Let y = w - -7. Find the first derivative of -4 + y - 2 + k wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. Let t be 15\/(-6) + p\/(-4). What is the nearest to -0.1 in -0.1, t, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*l - 2*t + 50, 3*l - 53 = 5*t. Calculate the remainder when l is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3718 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z**3 + 1. Suppose 24*g + 26 = 2. What is l(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = a + 4*a. Suppose -12 = -2*u - a*s, -2*u + 10 - 4 = 2*s. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222323.7 - -145.76.\nAnswer: 222469.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 102.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20451, 40901, 61351, 81801?\n\"Answer: 20450*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*l - 83 = 147, 5*l = -4*n + 187. Suppose 2*r = n + 317. Calculate the highest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4cb20 (base 16) to base 11.\nAnswer: 1a5026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 6*g - 44. Let y be q(0). Let w = y + 49. Solve w*n = n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:50 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1273, 3, -60 in descending order.\nAnswer: 3, -60, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) - (1 + sqrt(605)*1)) + 1*sqrt(605) + -3)*-2)**2.\nAnswer: -352*sqrt(5) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 0. What is the highest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 0)*(0 - 3 + 1)*(0 + 2 - 4)*(-5*a**2 + 0*a**2 + a**2).\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/6 + 13*n**4\/6 - 241*n**3\/6 - 877*n**2\/6 + 2200*n - 2016 = 0 for n.\nAnswer: -21, -9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 104*b**2 + 516*b + 357. Give m(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y - 27. Let s(g) = 3*g**2 + 28*g + 67. Calculate the lowest common multiple of s(-5) and y*(-1)\/(-6)*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-7 - -16) - (10 + 7 + -10).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:58 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.86688 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 689, 2, -53, 4, -5 in increasing order.\nAnswer: -53, -5, -2, 2, 4, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966 + -8 - 5\/1 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12637425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -81. Let w(y) be the first derivative of 5*y + 31. Let z(r) = -2*a(r) - 33*w(r). Let o(f) = f + 13. Calculate -6*o(t) - 26*z(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.14596 - -0.07496. Let q = 0.071 + h. What is the closest to 0 in -3, 1\/10, q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -28 + -17 + 0 - (15 + -142).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445108719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 + 10*n**2 + 2*n - 2. Let t(d) = -13*d**3 - 31*d**2 - 7*d + 7. Let b(z) = -14*g(z) - 4*t(z). What is c in b(c) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d*k**6 + 2*d*k**4 - 3205274*d*k**2 + 255805*k**3 wrt k.\nAnswer: 360*d*k**3 + 48*d*k + 1534830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 7*c**5\/20 - 8*c**3\/3 + 9*c. Find the second derivative of f(x) wrt x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/4 + 25*o\/2 + 51\/4 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 17\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5, -2\/15, -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8*(-272)\/(-2754))\/((588\/18)\/(-7))\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.194 in -0.1, 74\/9, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43229276 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256064774 = m - 5845226. What is m rounded to the nearest one million?\nAnswer: 262000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 100. Which is the nearest to 1? (a) 3 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4845, 9712, 14613, 19566, 24589, 29700, 34917, 40258?\n\"Answer: 3*y**3 - y**2 + 4849*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a**2 + a - 1. Let g be h(1). Let s = 9 + -7. What is the common denominator of 25\/4 and 141*(-2)\/g + s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {i: 1, d: 1, y: 1, a: 1, q: 1, s: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9675552 centuries to millennia.\nAnswer: 0.09675552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(2 - 14\/6). Suppose 4*w + m = 25. What is the remainder when 11 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 20*q**2. Let u(h) be the second derivative of -h**4 + 6*h. Determine n(u(g)).\nAnswer: 2880*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -306 + 318. Let r be 4 + l + (1 - 1). Solve -22 = -3*z - r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 70731080?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) 0 (c) 0.05 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*p + 4*g + 27, -g + 1 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(((-33350)\/696)\/115).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 4. Suppose n + 9 = -4*p, p + 0*n - r*n = 19. Let k = 5 - p. Solve -k*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -3)*(-5)\/4. Which is the nearest to 0? (a) -2 (b) d (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*c**3 - 1882*c**2 + 10280*c - 896 = 0. What is c?\nAnswer: -16, 7\/79, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13361316 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q. Let z(v) = 2*v**2 - v - 2. Let b(o) = -2*o**2 - 14*o - 11. Let m be b(-6). Give m*z(d) + u(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -115. Let q = 63.0000031 + r. What is q rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 33108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 54*s**2 - 56*s + 86. Give p(-55).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -808\/6411?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21587 + 21678. Solve 73*w = l*w + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 21 - 39 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6*l**3\/23 - 832*l**2\/23 - 22750*l\/23 + 7676\/23 = 0.\nAnswer: -101, -38, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27840)\/(-204160))\/(18\/11).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474035613 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q**0\/q)*q*q**7)\/((q*(q*q*q**(-1\/2))\/q)\/q*q)**46)\/((q*q**(1\/4)\/q)**(6\/7)\/(q**(-1)*q*q\/(q**(-2\/17)*q))) assuming q is positive.\nAnswer: q**(-13589\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 6*o**2 - 4*o - 102. Let z be b(-6). Sort -2, -1, z in decreasing order.\nAnswer: -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3e4d0 (base 16) to base 2\nAnswer: 111110010011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 2, k: 4, s: 8}. What is prob of picking 1 h and 1 s?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 56 + -5 - (-1 + 11 + -10) - 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137961 and 28358650?\nAnswer: 255227850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(sqrt(6897)*3 - sqrt(6897) - sqrt(6897)))\/(sqrt(3) + sqrt(432) + sqrt(147) + (sqrt(147) - -3*sqrt(147))).\nAnswer: -11*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*k - 13 + 30 - 68*k**4 - 17 wrt k?\nAnswer: -816*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - -3 - 8 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5857, -11029, -15513, -19309, -22417, -24837, -26569?\n\"Answer: 344*g**2 - 6204*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 13, -4, 5 in increasing order.\nAnswer: -6, -5, -4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -120468\/13 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 294380.6 milligrams in nanograms?\nAnswer: 294380600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 - (63 - 38)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (2\/8 - 188\/16)*-34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*u**4\/5 + 27*u**3 - 6*u**2\/5.\nAnswer: 3*u**2*(u + 2)*(23*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x - x)*(-1 + 0 + 0) - 3*x + 5*x + 0*x - 3*x - 2*x + 3*x - 2 + 2 + 2*x + (3 - 7 + 2)*(1 - 1 + x) - x - 2*x - x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-10)\/(-6) - 1). Let r(t) = 4*t**2 + t - 4. Calculate the remainder when r(3) is divided by z\/((-12)\/(-9) - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.35416l to millilitres.\nAnswer: 11354.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = -20. Which is smaller: c or -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(-3*x**2 - 2*x**2 - x**2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1272588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a. Let r(t) = t + 1. Let z be r(-4). What is f(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5. Let f = n + 2. Let b = -3.3 + f. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837235 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -867\/8842 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -1 - (-9 + 4). Suppose 4887 = 3*i - c*t, -5*t - 4 - 11 = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y + 263. Let c be t(52). Let n = 5 + -3. Let d be 40\/n*1\/2. Solve -c*f - d = -22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4663*g = 5166*g - 11561 - 54332 for g.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 6*u + 10. Let o be p(-2). Let v be ((-15)\/4)\/(o*(-10)\/80). What is the highest common factor of v and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -29 + -14 + -33\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2))\/(o*o**(4\/5)*o))**(-1\/29)*(o**(-1\/3))**(-7\/4)*((o\/(((o**(-1\/9)*o)\/o*o)\/o)*o)\/o)\/o**6 assuming o is positive.\nAnswer: o**(-22061\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4528845 is divided by 2811?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -540 - 1?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-35)\/(-743715)). What are the prime factors of o\/12*(-8)\/12?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12652510, -25305015, -37957520, -50610025, -63262530?\n\"Answer: -12652505*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 41*v = -116 - 199 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 197, 3 in descending order.\nAnswer: 197, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbbbbbybbb. What is prob of picking 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - (11 - -9))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -3. Put -3, s, -5 in descending order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46603510 to the nearest one hundred thousand.\nAnswer: -46600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - c**3 - 2*c - c - 6 - 9*c**2. Suppose -3*g - 2 = 4*v + 19, -4*g = -v - 10. Give a(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 384 - 203. Let x = -109 + n. Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 21*z - 100. Determine i(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54025861 to the power of 1\/2, to the nearest integer?\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + n**2 + n + 6. Let q be t(3). Find the common denominator of -3 + (-15)\/20*q and 50\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0 = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - h + 2. Let l be p(0). Suppose -3*c = -2*d + l, 0*c = d - c - 2. Solve 2*y = d*f + 18, -5*y - 18 = 5*f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/45040 and 127\/1844388.\nAnswer: 36887760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 201745583.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rwrrwww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(19) - (sqrt(171) + -3)**2) + -1 + (1*sqrt(19) + 2 - (-1*sqrt(19) + -3))).\nAnswer: -84*sqrt(19) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226248240?\nAnswer: 2, 3, 5, 17, 23, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411 + 407. What is the biggest value in t, 51, 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 + 2*s - 2. Let w be q(3). Let p = -19 - w. Let v = p - 2. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 0 - (465 - 472)) + (-75 - 1)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(63) + 1*sqrt(63)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*m + 2*v + 4, 3*v = -4*m - 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160 + 189. Suppose 0*b - 4*b = 0. Suppose b = 2*c + c - 609. What is the greatest common factor of g and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + 7*p**3\/6 + 7*p**2\/2 + 2*p - 5. Calculate f(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88719\/52? (a) -5 (b) -2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. What is the closest to -0.1 in 1\/3, 3\/4, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 2185*h**3\/4 - 154441*h**2\/4 - 170984*h + 875355 = 0. What is h?\nAnswer: -134, -65\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + -3*sqrt(275) - (-1 + sqrt(275)*-1)) + 2).\nAnswer: -4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 95. Let d(s) = 56*s**2. Give y(d(w)).\nAnswer: 56*w**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 19947*y**2 - 2*y + 19924*y**2 - 4 + 5 to t*y + r + o*y**2 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*-1)\/sqrt(2))**2*5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y*y*y**(-3\/8)*y*y**(-4\/9)*y*y*y**(-1\/12) assuming y is positive.\nAnswer: y**(655\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81, 71, 45, -3, -79?\n\"Answer: -u**3 - 2*u**2 + 3*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14334 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -5. Let q = 7 - m. Suppose d - 2*j + 8 = 5*d, 5*d + 4*j - 16 = 0. Solve q = -2*o - d*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a + 6210 = -160*a - 84*a + 96*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 332\/5. Let z be ((-15)\/18 + 1)\/(4\/2). Which is the second smallest value? (a) j (b) z (c) -0.8 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-200)*9\/((-189)\/(-910))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {i: 2, t: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*d**3 + 117*d**3 + 268*d**3)*(-1 - 2*d + 0 + d).\nAnswer: -296*d**4 - 296*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -18*((-3)\/(-18))\/((-4)\/12) is divided by (13 + -3)\/((-4)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 82035 = 135*n - 76635 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/24851 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 77*w + 5*w + 41*w - 51*w in the form x + r*w**2 + z*w and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:47 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.6, -5, -1\/3, 2\/5, 9.\nAnswer: -6.6, -5, -1\/3, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110001 + 0?\nAnswer: 111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let b = v - -3. Solve 4*o = b*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - m + 5 = 0, 335*m + 330*m - 17 = 4*c + 668*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) - 0 - (3 - 0)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 4:05 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -10 (c) -2 (d) 5 (e) 0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 59. Let t be s(6). Suppose 3*v - 4 = -j - 3*j, 5*j = 2*v - t. Let a be (-3)\/(30\/16)*-25. Calculate the greatest common factor of v and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 946 = -2*h + 704, 0 = 3*h. Suppose 0 = -3*n + 8*n - j - w, -j = n - 66. Calculate the greatest common factor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3998 + 4307 - 11870 + 5109)*(4*v - 2*v + 0*v).\nAnswer: 3088*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 77?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 659740 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvav when four letters picked without replacement from {a: 4, f: 4, v: 8}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11563 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -25\/3*k**4 - 5\/3*k**5 + 0 - 35\/3*k**2 - 15*k**3 - 10\/3*k = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 - 11*p + 15. What is the remainder when 1914 is divided by c(16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93020? (a) 19\/2 (b) -2\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -46. Let j = -14 + c. Solve 0 = 3*h - 0 + j, 3*h = 3*y - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8879971*d*x**3 + 23*d*x**2 + 5*d*x + d + 83 wrt x?\nAnswer: 53279826*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28 = -16. Let m be 14\/4*(2 - 0). Let z = m - f. Which is the second biggest value? (a) -3 (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/166 and -49\/22.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 4*z - 16*z**2 + 17*z**2. Let g be m(5). Let x(o) = o**3 + 1 - 3 - o**2 + 5 + o. Give x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*c - 724 + 74 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 18}. Give prob of picking 3 c.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**3 - 10*b**2 + 10*b + 1085. Let g(j) = 31*j**3 - 28*j**2 + 29*j + 3246. Let t(p) = -4*g(p) + 11*h(p). Differentiate t(i) wrt i.\nAnswer: -42*i**2 + 4*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 19*s**2 - 5*s**2.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1848 = -4*n + 7*n, -4*v + 3688 = -2*n. What are the prime factors of v?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-36)*(-30)\/20)\/4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -629 (base 10) to base 2.\nAnswer: -1001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.61742 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = 3*m - 8*a + 13*a, -4*m + 122 = 4*a - 7*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1000011011001110?\nAnswer: -1000011011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30348 divided by -36?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6048))\/(-5*(sqrt(6)*-3 + sqrt(6))).\nAnswer: -18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 + 4 + 5)**2.\nAnswer: 120*sqrt(5) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -36 + 40 - (-1 - 26)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 5}. What is prob of picking 1 f and 2 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240 + -339. Let r = -83 - t. Let j be r\/(-40) + (-46)\/10. Which is the second biggest value? (a) j (b) 0.6 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = -5*l + 3*i - 177, -4*i = -3*l + 75 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j. Suppose j = 5*x - 10 - 0. Calculate the highest common divisor of 8 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 2773*s**5\/30 - 95*s**4\/24 + s**3\/6 - 3819*s**2 - s. What is the second derivative of x(z) wrt z?\nAnswer: 11092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93.77 - -95. Let n = y - 6.23. Which is bigger: 0.2 or n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -75 + (56 - 39)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 5*k + 3*z + 5, -4*k + 2*z - 2 = 0. Suppose k = 2*r + r - 84. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*j + 828 = 8*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 567676 * 150.\nAnswer: 85151400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1798 - 1798. What is the closest to 30 in x, -0.4, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 218 + -218.1384. Round l to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.99568 - -65. What is d rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(2 + 240\/(-123)). Let p = -37 + t. Let 2*o**p - 18\/5*o**3 + 6\/5*o + 4\/5 - 14\/5*o**2 + 12\/5*o**5 = 0. Calculate o.\nAnswer: -1, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.5501688 rounded to 2 dps?\nAnswer: 98.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968 - 4886 = 146*q - 1749 + 4363 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let f = 132.3 + -138. Let k = -0.7 - f. What is the biggest value in k, x, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46800308413 and -22.\nAnswer: -46800308435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222563391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - z**4\/2 + 13*z**3\/6 - 5*z**2. Let y be n(11). Suppose l = y*l - 9. What is the highest common divisor of l and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 + 22*l - 8. Let m be d(8). Calculate the greatest common divisor of 70 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -173705*c. Let o(q) = -q**2. What is o(k(u))?\nAnswer: -30173427025*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n. Let j be (1 + -2)\/((-4)\/32). Let u = j - 0. Solve n = -3*a + 1 + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**3 - 3*p**2 + 11*p - 6. Let l(t) = 65*t**3 - 12*t**2 + 48*t - 23. Give 9*i(c) - 2*l(c).\nAnswer: 14*c**3 - 3*c**2 + 3*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-45) + (-14)\/882?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -398150\/53 + 7512. Let o = -372\/1007 - y. Let k = 2843 - 2839. Which is the second smallest value? (a) o (b) 0.1 (c) k (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70389*r - 170295?\nAnswer: -70389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from tgggtggggggggtg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -21. Let k = 46 + y. Solve -k*b - o - 15 = 0, 4*b = -0*b + 5*o - 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77228637 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(47*y**2 + 11*y**2 + 9*y**2) + (2*y + 4*y - y)*(-y + 0*y + 2*y).\nAnswer: 139*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(4*sqrt(792) - sqrt(792) - sqrt(792)))\/(-2*sqrt(44) + (sqrt(11) - (4*sqrt(1584) + sqrt(1584)))).\nAnswer: 20*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2169647 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 - 8*i + 98)*(-1 + 0 - 1)*(-4 + 1 + 0)*(-4972 - 4823 + 8479) as z*i + l and give z.\nAnswer: 63168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 871 + -1318. Let o = p + 694. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from raao?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/30*(-50)\/120. Let h = -3.9 - 0.1. Which is the second biggest value? (a) z (b) -4\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30529?\nAnswer: 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -2 (c) -0.48 (d) -4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*-24100\nAnswer: -48200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**8\/240 + d**4\/8 + d**3\/3 + 7*d**2. Let p(l) be the first derivative of c(l). Find the first derivative of p(j) wrt j.\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13129 + 13137. Solve u*l = -94 + 94 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - 114.7. Let y = a - -0.7. Let d = 325\/7 - 46. What is the third biggest value in y, -3, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) - sqrt(90)*-1*-6)\/(3*sqrt(80)) + sqrt(72)*-1*1 + 1 + 3.\nAnswer: -29*sqrt(2)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 15258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(((-30)\/(-4))\/(-5))*(-2149)\/1842?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613712698 to the power of 1\/2, to the nearest integer?\nAnswer: 40171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 168\/(-44) - ((-4 - -6) + 0)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 514\/5, 1, -6\/7, -43?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 26 = n - 40, -36 = -2*i - 2*n. Find the common denominator of -22\/3 and (i\/42)\/((-2)\/(-6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15*d + 27. Let p(y) = 3*y + 1. Give -3*p(v) - x(v).\nAnswer: 6*v - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450625?\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4110*o**3 + o**2 - 4945*o + 575445958 wrt o?\nAnswer: -12330*o**2 + 2*o - 4945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166490432 and 0.07.\nAnswer: -11654330.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 11, d: 2}. What is prob of sequence dbbc?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 3. Let v be m(-6). Let q(n) = 2*n**3 - 3*n**3 - 4 + 0*n + n**2 + 5*n. Calculate q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/5)\/((-21)\/70). Let c = -8 - -7. Is (-35)\/14*c*j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) -85.6 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 35, -0.3, 0.1, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 1. Let z be n(-3). Suppose -4*g - 3*c - 8 + 36 = 0, 0 = -3*g - z*c + 14. Suppose 0 = p - 3*p + g. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -158. Suppose -g*w - 2*w = 36. Let v(l) = l**2 + 9*l - 6. Determine v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033884114 rounded to 4 dps?\nAnswer: -0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 1. Let p be h(-2). Let q be 1035\/120 + (-6)\/(-16). Solve p = q*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176336568 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 less than 1491217339.1?\nAnswer: 1491217230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6091 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: Round 1452.69 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q + 4. Let w be r(10). What is the units digit of ((-6)\/(-4))\/(12\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*f - f - 33, 5*j = 3*f + 88. What is the remainder when j is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:49 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 0*z**2 + 4 + 3*z**2 - z - 2*z. Calculate the lowest common multiple of -10*-3*3\/9 and y(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 56 = 2*h, -5*q + 2241 - 1187 - 1122 = 2*h for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 4. Let y = 397271 - 267440. Suppose -h*w + 4169 = -y. What is w rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5*w**6\/144 + 7*w**4\/4 - 5*w - 4. Let l(x) be the third derivative of h(x). Let t(z) = z. Calculate t(l(y)).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 1 u when three letters picked without replacement from {b: 6, u: 3, s: 2, a: 1, z: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 52. Let o be f(-20). Is o <= 187\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5975 + 5975.4. What is the closest to 2\/9 in -0.1, -5\/27, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4235))\/sqrt(7).\nAnswer: -44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 2 + 1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 639040*y - 20418606080.\nAnswer: -5*(y - 63904)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1387 (base 10) to base 3\nAnswer: 1220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 + 11*o**4\/12 + 5*o**3\/3 - 5*o**2 + o - 17. List the prime factors of d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 113836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2355446410 + -14?\nAnswer: -2355446424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*q + 32 - 27, 4*v = 3*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Let l = -2 - u. Let v(f) = 3*f**3 - 15*f**2 - 13*f - 3. Let z(t) = -5*t**3 + 23*t**2 + 20*t + 5. Let k(q) = 8*v(q) + 5*z(q). What is k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 8 - 20) + -3 + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8380098 divided by 931122?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-224))\/((-27)\/348). Let o = v + -1\/126. What is the second biggest value in o, -0.01, -1\/3, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 22. Let c(j) = 5*j + 22. Let k(m) = -6*c(m) + 7*t(m). What is the units digit of k(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11 = -3*r - 5 + 4, 4995*b - 4995*b - r - 1 - 1 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130)*2)\/sqrt(10) + -3.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 15374014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039546 - 2*l**2 + 2079088 - 1039542.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2385 - 826. List the prime factors of b.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1788620*i*l - 2869877*i wrt l.\nAnswer: -1788620*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4*-9*(-12)\/(-27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4524, -8, 5 in descending order.\nAnswer: 5, -8, -4524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770848991.\nAnswer: 7, 13, 41437901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3567 = -v + k + 2744, -3*v + 5*k = -18941. Let f = v - 2339895\/371. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.138 in 7, 1\/3, -0.05, 0.03, 0, -1\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5264\/39 + 135. Is -1 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3238 and ((-12)\/(-36)*84)\/2?\nAnswer: 22666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985600 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10432 (b) 2\/13 (c) -308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/559368729 and 101\/10.\nAnswer: 5593687290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/20 >= 19\/1399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(2 - 2 + 2*j + (0 + 3 - 5)*(j - 4*j - 4*j) + 2*j + 3*j - 4*j).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**3 + 2*k - 1. Let c be u(1). Let a be (3*-1)\/(27\/c). Let s = 3.7 + -0.7. What is the second biggest value in a, s, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 58*k - 34*k**2 - 3*k**3 + k**3 + 0*k + k**3 = 0 for k.\nAnswer: -35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3324, -3136, -2836, -2436, -1948, -1384?\n\"Answer: -2*m**3 + 68*m**2 - 2*m - 3388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1155 divided by -54\nAnswer: -385\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 272474 (base 8) to base 14\nAnswer: 26b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 53. Suppose 0 = 3*j + j - w. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 + 70*x**2 + 322*x - 390 = 0.\nAnswer: -5, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = -2*z. Let u be 0 - 1 - z - 1. Suppose u*t + 12 = t. What is the remainder when 34 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -13 - ((5 - 0) + -30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345 by 338.\nAnswer: 345\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166.2 + 208. Let l = g + -42. What is the third biggest value in -4\/3, 4, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84230069017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -55*v - 2801. Let q be g(-51). Solve -913*y = -909*y + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(425) - (sqrt(425) - sqrt(425)*-2)).\nAnswer: -10*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiggiiiigi. Give prob of picking 1 g and 3 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**2 + 6. Let q(f) = -f**2 + f - 1. Let u(s) = o(s) + 6*q(s). What is the second derivative of u(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 41*v**2\/4 - 43*v\/4 + 1\/2 = 0.\nAnswer: 2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - 3*y**2 - y + 3. What is v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 85, 154, 259, 406, 601, 850, 1159?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a**2 + 12*a**2 - 2*a**2 + 11*a**2. Let k(v) = -37*v**2. Let l(q) = 352*q**2. Let d(h) = 48*k(h) + 5*l(h). Determine d(s(n)).\nAnswer: -144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649782 is divided by 1649782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/14)\/(3\/42). Solve -2 + 0*p + 7*p**3 + 5*p - 2*p**3 - 4*p**3 - a*p**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a millisecond in microseconds?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a + 1. Let u be i(-3). Differentiate 5*l**u - 5 + 0*l**4 - 2*l**4 + 1 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*b**5 + 2*b**4*m + 35*b**2*m - b**2 - 2*m wrt b.\nAnswer: -4440*b**2 + 48*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = -4. Let p be 4 - (-14 - -3 - 3). Suppose -30 + p = -4*q. Solve -u*s - q*f + 14 = -7*f, 2*s - f = 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-379364)\/60)\/(4\/6). Let r = x + 9494. Calculate the common denominator of 7\/5 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 - d**4\/6 + d**3\/3 + 4*d**2 + 15*d. Let w be u(-4). Calculate the highest common factor of 224 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2 - 16. Let z be c(-7). What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/78931, 97, 4, -5?\nAnswer: 4\/78931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (3 + sqrt(13) + (sqrt(13) + -1 - sqrt(13))) - sqrt(468)*2.\nAnswer: -12*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3541.352mg to tonnes.\nAnswer: 0.000003541352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-v**2 + v**2 - 3*v**2) + (2 - 2 - 2)*(-3*v**2 - v + v))*(2 - 2 - 4)*(0*v**3 - 2*v**3 - v**3).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*k = 16, 4*j + 0*j - 20 = -5*k. Suppose b = j, 0 = -5*g - 0*g - 2*b + 65. Solve 0 = -4*t - 5*z + 19, 0*t + 4*z = -t + g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = 9. Let r be ((-4)\/6)\/((-4)\/18). Suppose -6 = -f*b + 2*h + 4, -r*h - 3 = 3*b. Solve -b*l + l = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(-2*sqrt(12)))**2 + (-4*(sqrt(112) + 0))**2.\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331756*u**3 - 118582 wrt u.\nAnswer: -995268*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 178ab (base 15) to base 6\nAnswer: 1344455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -7*i - 127 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4441 + 1223 = -944*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(-2*l + 2*l + 2*l)*(2*l**2 + 0 + 0) to the form q*l**3 + m*l**2 + v + b*l and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 4184*f**2 + 16710*f - 12528.\nAnswer: 2*(f - 2088)*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 345 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 + 13 = 0. Differentiate -2 - n**3 + 7*n**3 - l with respect to n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + 5*z**2 + 14*z**2 + (-4 + 2 - 2)*(z**2 - 3*z**2 + 3*z**2).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Find the third derivative of -2*y**z - y**5 - 7*y**5 + 3*y**5 wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15792?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auvrrrurrh. Give prob of sequence uruh.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-88)\/8 + 8 - -172. Suppose -h - 43 = -2*f - 4*h, 119 = 4*f - 5*h. What is the highest common divisor of s and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((8\/(-2))\/(-4)). Suppose 0 = -2*a - 2*u - 262002, z*u - 261996 = 7*a - 5*a. What is a rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 188 - 5*y + 22*y + 189 - 381. What is x(-3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 170.4 times -31\nAnswer: -5282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 14) in base 9?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -600751*h**6 + 415*h**2 + 4*h - 4 wrt h.\nAnswer: -72090120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2. Let w(l) = 9*l + 55. Let g(k) = -k - 1. Let d(v) = 4*g(v) - w(v). Let i be d(-5). Let t(j) = 5*j**2 - 2*j + 1. Determine i*x(s) - t(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 4203969*c.\nAnswer: 3*c*(c + 1401323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(6\/5)\/y*y)\/(y**4\/y)*(y\/(y\/y**(2\/25)))\/y**(-9))\/(y\/y**(-8\/7)*y**11)**(6\/11) assuming y is positive.\nAnswer: y**(214\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -94. Suppose -4*p + 8*p = 5*f + 8, -4*p + 4*f + 8 = v. Which is smaller: 14\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256666757\/5 or 51333350?\nAnswer: 51333350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4980)\/1743 + 544\/210?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*n - 304*n**3 + 290*n**3 - 73*n + 34*n in the form v*n**2 + g*n + u*n**3 + c and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = x - 14, -3*u + 286 = 19*x + 78*x + 856 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eenn when four letters picked without replacement from {e: 3, n: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*o + 3*o. Suppose 15 = 5*q + 2*l - 7*l, 5*l + 15 = 0. Suppose -3*d + 15 + 9 = q. What is the remainder when o is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = -4*d + 165, -w = 3. Is (-10)\/d - (-562)\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 1252\/11. Let m be (-8)\/(-732) + (1 - 1). Let q = m + 40\/61. What is the nearest to -1\/3 in 3, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44878.\nAnswer: 2, 19, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 + 0.59. Suppose -14 = -4*c - 3*y, -3*c + 2*y - 1 = -4*c. Suppose 4*f + c*a = 3*f + 13, 3*f - 13 = -2*a. What is the closest to l in f, -2, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/69632 and -83\/1632.\nAnswer: 208896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390 + -336. Calculate the least common multiple of 81 and r.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 2*a - 3. Let l be k(4). Let w = -2 - 2. Sort w, -2, l in ascending order.\nAnswer: w, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 643, 1269, 1895, 2521, 3147?\n\"Answer: 626*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from hhheeheehhhhehheeehe.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 38 - (-10 + 1)) + -7 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 24 = -w, -2*r - 30 = -999*w + 1002*w. Suppose 0 = 4*j - j - 6. Solve -j*h - 5 = r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 10. Let t = 7 + b. Suppose 10 = -2*l - 3*n, -4*l + 2*n + 12 = -8*l. What is the closest to -2\/5 in t, -3\/4, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.22351 + 13.22. What is v rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 468.6 - 468.53057. What is m rounded to three dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101001 (base 2) to base 11.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1221*n + 5. Suppose 0 = -5*v, -13 = 4*g + 2*v + 7. Let s be c(g). Round s to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165386*j*k + 1480594*k wrt j?\nAnswer: 165386*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -1.46. Let k = -223 + 223.46. Let s = k + y. Which is the closest to 0.1? (a) 4 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.88 + -0.12. Let m = f - -6. What is the biggest value in m, -1\/3, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1714, 3425, 5124, 6805, 8462, 10089, 11680, 13229?\n\"Answer: -s**3 + 1718*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 - 1556*i**3 - 108182*i**2 - 1040676*i - 2190240 = 0.\nAnswer: -702, -65, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -4992940 and -74894114\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 332883*u + 332885*u + 178, 146 = -3*a - 2*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28964 + 101192 = 12*q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25\/106 + -3\/212. Sort n, 2\/7, 1, -5 in increasing order.\nAnswer: -5, n, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68670.47 millilitres?\nAnswer: 68.67047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/22*(-197912)\/(-539760).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/20299 and 44\/53.\nAnswer: 20299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5980.269 years to millennia.\nAnswer: 5.980269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/86, 2, -2, 2511 in ascending order.\nAnswer: -2, 7\/86, 2, 2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-25)*((-54)\/(-12) + -7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31121 - -0.01121. Let c be ((-4)\/(-10))\/(3\/(-10)). What is the fourth biggest value in -0.1, x, c, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23b84 (base 14) to base 13\nAnswer: 309a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (-259)\/(-111).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:04 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 5*u**2 + 7*u - 35. Let l be o(5). Let t = 9 + -3. Let z = 9 - t. Is z less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let r(a) = -2*a + 1. Let h(w) = -3*n(w) + r(w). Determine h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 15) in base 6?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -3, -112\/5, -2\/5, 0, 0.068?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354914\/1 + (-7 + (-175)\/(-28))*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2552 - -8220. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440331 (base 5) to base 4\nAnswer: 3223303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1183, 1159, 1117, 1051, 955, 823?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhnbyfbnh. Give prob of sequence fz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 89*t**3 + 2*t + 1. Let a be d(-1). Let w be (-118)\/(-15) + (-12)\/a. Find the first derivative of -1 + w*k**3 + 4 - 5 + 13 wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {w: 5, g: 4, q: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let w be ((-3)\/2)\/(1\/2). Let c = 8 + w. Solve c*m + 5*x - 12 = 4*m, f*x + 4 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-12 - -18) + 7 - 25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*b + 281, b - 1 = -6. What is the highest common factor of u and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1390068, -2780136, -4170204, -5560272, -6950340, -8340408?\nAnswer: -9730476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 57*y - 1043. Calculate the lowest common multiple of 18 and f(19).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 - 10*u**2 + u + 4. Let b(j) = 5*j**3 + 11*j**2 - 2*j - 5. Let m(w) = -3*b(w) - 4*y(w). Determine m(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48 + -0.4799979. Round n to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 8, -0.1, -0.5, -63 in decreasing order.\nAnswer: 8, -0.1, -0.5, -42, -63","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 6. Let d = 6 + -4. Suppose f - 8*t + 4*t + 14 = 0, -20 = -5*f + d*t. Solve f*a = a + g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/c)**46\/(c\/(c*c**(-2\/7)*c))**2)**(24\/7) assuming c is positive.\nAnswer: c**(-9420\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 0*q + 2*q + 203.\nAnswer: -5*q + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 190\/(-12)*(-49)\/(-147) and -23\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -423 and 9.8.\nAnswer: -4145.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/1)\/(6\/144). Suppose 4*l - 2*l = 0. Suppose n + 4*f - 18 = l, 0 = -2*n + 4*n - 4*f - q. Calculate the remainder when 41 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20407 or 45068?\nAnswer: 20407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/79? (a) 12042 (b) -4\/9 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t**4 + 3)*(14*t - 24 + 24) + 0 + 2*t**5 + 0.\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -125?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 369, 3, -5467 in increasing order.\nAnswer: -5467, 3, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummmmmuummmmmummmmmm. What is prob of sequence mmum?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 20*a**3\/3 + 5*a**2\/2 - 15*a - 12. Let q(c) = 0. What is c?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -771, -3086, -6945, -12348?\nAnswer: -19295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 at least 817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = -i + 10, 3*i + 2*a = 8. Suppose 0 = -4*s - i*s + 20. Solve 5*r + 4*x = 7, -5*x = -r + s*r - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 891, 1395?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-7)\/4. Let c be 42\/(-9)*9\/(-6). Suppose -c*z + 35 = -t*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 8*v. Let s be i(8). Let y(t) = s - t + 10 + 13 - 5. Is 4 a factor of y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1351, 1, 0.2, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p\/(p**(1\/4)*p))*p)**(-1)\/(p\/((p\/((p*p\/(p**(-1)*p))\/p))\/p)*p)**(6\/23))\/((p**1\/p*p*p)**(-8\/5))**(-9\/2) assuming p is positive.\nAnswer: p**(-8019\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*s - 1507*s + 539 = -1494 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.153.\nAnswer: 1.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 4*sqrt(1573)*2)**2 - ((6*(sqrt(117) + -1) - (sqrt(117) + sqrt(117) + sqrt(117)*1*-6))*-3)**2.\nAnswer: -4941 + 3768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31550 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-5))\/(24\/(-720)*2). Let w(f) = -2*f**2 - 21. Let u = 29 + -8. Let d(j) = -3. What is u*d(v) + x*w(v)?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 73765593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-1 - (-4)\/1). Suppose -3*y = y - 72. Let w be y\/20 + f\/(-2). Which is the third biggest value? (a) 1\/4 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 207*d = -210*d - 159, -d + 61 = a. Solve -46 = 11*m - a*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005676 to five dps.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011101101110000 (base 2) in base 10?\nAnswer: 473968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -28*j - 3 + 4 + 3 - 5. Let z be i(-1). Let l = -9480 + 9489. Calculate the greatest common factor of z and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -8*u - 2. Let t(h) = -2*h - 3. Let r(f) = -f - 1. Give u*t(d) - r(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3\/8, -1\/5, -2\/3, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-31)\/b)\/b)\/b*b**(1\/4) assuming b is positive.\nAnswer: b**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*o + 520*o = -608*o + 434*o + 173031 for o.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 69, -3 in decreasing order.\nAnswer: 69, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 715*q - 77. Let z be r(3). Let l = z - 1189. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1877218 and 6.\nAnswer: 5631654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50031526?\nAnswer: 2, 25015763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-162)\/8)*12\/(-8). Factor 2\/9*y**2 + 0 - p*y.\nAnswer: 2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -1431*q**7\/7 - 2011*q**3 + 4904. What is the third derivative of z(r) wrt r?\nAnswer: -171720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 307252 - 438300. Is ((-27)\/108)\/(2\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26844 + 7509 = 193*n - 17371. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3060426 is divided by 7613.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -86998253?\nAnswer: -86998186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 550238.4 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2253685.9999925 + -2253690. Let b = 4 + s. What is b rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, 389, -49, 3 in descending order.\nAnswer: 389, 5, 3, 1, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -7979 (c) 27 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9680 and 64130?\nAnswer: 513040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 286779 = -4*h, -2*h = -2*y - 79922 - 63490. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w**5 + 0*w**3 + 0*w**6 + 1\/12*w**4 + 2\/35*w**7 + 0 + 0*w + 5*w**2. Find the second derivative of o(k) wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2 + 7 + 4*j - 5*j. Let h be i(6). What is the second smallest value in -4, 2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345d (base 14) to base 11.\nAnswer: 6922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 10 = -2*o, -24*o - 17 = 4*y - 27*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-68.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2. Let f(d) = 10*d - 16*d + 36 - 21 + 10*d + 21. Give h(f(x)).\nAnswer: 48*x**2 + 864*x + 3888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 200*s**4 - s - 2*s - s**3 + 2 + 8*s**2 - 191*s**4 in the form l*s**4 + k + q*s**3 + o*s**2 + c*s and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q + 3. Let y(n) = -2*n**2 - 17*n - 12. What is -4*w(t) - y(t)?\nAnswer: -2*t**2 + 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 17 = -5. Suppose -3*i + 10 = 4*b, 0 = 5*i - 3*b - 7. Let d(x) = -i*x - x + k*x - 2*x. Let l(c) = -6*c**2. Calculate l(d(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8958974 decades in millennia?\nAnswer: 0.008958974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23395 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 25. Let u be d(11). Suppose 0 = -u*r + 94 - 37. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -176, -208, -240, -272, -304?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 3*p**2 + 3*p**2)*(-3*p - 4*p + 6*p) - p**2 + p**2 - p**3 + 5114*p**3 - 5 - 5108*p**3 - 4*p**2 + 2.\nAnswer: 4*p**3 - 4*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19390 is divided by 3867.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 minus 6?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 767038*q**4 - q**3 + 33097327*q**2 wrt q?\nAnswer: 18408912*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4 - 1*-20) + -4 and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 2)*(-4*v + 5*v - 4*v) + (4*v - 6*v - 3*v)*(-2 + 1 + 0))*(-4 + 4 + 28*v) in the form m*v**2 + s + b*v and give m.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q + 2 - 4 + 1 - 1 - 46*q.\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -749 - -24719\/33. Let k = p + 23\/165. Which is the biggest value? (a) k (b) 3\/2 (c) 2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 - 66. What is the tens digit of (-5 + -7)*m\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/12 - q**2 + 5*q. Let x(a) = -3*a**2 + 7. Let t(s) = 14*i(s) + 4*x(s). Let u(z) = -2*z. Give t(u(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 86 = -21*n. What is the common denominator of -4 - (2\/n)\/(3\/103) and -13\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272 + 233. Let s = 39 + v. Put -1, s, 0.1 in descending order.\nAnswer: 0.1, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most 13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -57. What are the prime factors of 1018\/v - 8\/52?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286094057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (42\/360)\/((-259)\/(-333))\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -3. Let b = n + 7. What is the units digit of 8*5\/(5\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.825. Let r = -782.925 - -783. Let l = r + d. Which is the closest to l? (a) -2 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, 2\/49, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 583789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 2. Let k be n(0). Solve -10 + 4 = r - 3*p, k*r = 4*p - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 times 0.05?\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 3.3. Let u = 16.8 - 17. Let x = 0.478 + 0.022. Which is the closest to -0.1? (a) u (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**2 + 31964854*a\/9 - 1420660\/9.\nAnswer: -2*(a - 355165)*(45*a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6139 = -x, x - 6139 = -208*v + 207*v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/100 and -13\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2 - 1448*y + 1464*y + (0 - 1 - 1)*(2 - 2 + 11*y) + (2*y - 4*y + 6*y)*(0 + 1 - 2).\nAnswer: -10*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/83 - 88\/1079. Let i be 5*(4 + -3)\/(-1). Let q(c) = c**3 + 6*c**2 + 4*c - 6. Let s be q(i). What is the third biggest value in d, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 118\/12285 and 1\/856440.\nAnswer: 5995080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6403998893 and 0.3.\nAnswer: -0.3403998893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, -5, 8, 11 in descending order.\nAnswer: 20, 11, 8, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2. Let p(w) = -373560*w - 11. Give p(g(q)).\nAnswer: -2614920*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 2. Suppose -3*k + 120 = -4*o, 4*k - 120 - 29 = 5*o. Let n be 18\/20*20\/3. Let y(x) = 5*x + 11. What is n*y(v) + o*u(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 58569 - 14434 = 0. Let k = 19544 - q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.0077.\nAnswer: -0.0308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -5)\/((2 - 1)*-4). What is the third smallest value in 17, c, -2\/5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143424 and 6308.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2080 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4752)*-4)\/((sqrt(243) + -4*sqrt(243))\/sqrt(9)).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*((3 + (sqrt(125) + -2 + sqrt(125) - sqrt(125)))**2 - (2 + (sqrt(125) + 2)**2)) + -1)*-6.\nAnswer: -120*sqrt(5) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579593 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14431, -14442, -14443, -14428, -14391, -14326, -14227?\n\"Answer: n**3 - n**2 - 15*n - 14416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1663\/156 - 501\/52. Find the common denominator of 139\/138 and u.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114571*g**4 + 27*g**3 + 348034*g - 10 wrt g?\nAnswer: -1374852*g**2 + 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*n - 115, 2*n = -5*y - n - 120. Let j be (-4)\/(-6)*y\/14. Let t(g) = -10*g + 1. Give t(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0 + 2 - 3*b + 0 + 2*b. Let j(s) be the third derivative of -s**4\/24 + s**3\/2 + s**2. Suppose -8 = -5*i + 2. Give i*j(r) - 3*y(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c1 (base 14) in base 16?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 - 198*k + 83*k + 112*k.\nAnswer: -8*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13ba464 (base 13) in base 4?\nAnswer: 113330213103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1015)\/(-70) + -11)*((-32546)\/(-14) + -1).\nAnswer: 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6529 - 6347. Solve -650 = -52*v - k for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8908 - 23294?\nAnswer: -32202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.423 and -0.1?\nAnswer: 0.2423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110000111110111101 + 11?\nAnswer: -100110000111110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 817423.1l to millilitres.\nAnswer: 817423100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4220 - 336?\nAnswer: -4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i**3 + 2*i**2 - i - 106*i**3 + 2316 - 47*i**3 - 2316 as h + b*i + n*i**3 + t*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1134908064 to 4 dps.\nAnswer: 0.1135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193, 407, 625, 847, 1073?\n\"Answer: 2*t**2 + 208*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7917 (b) -12\/7 (c) 18 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 161*b - 1930. Give c(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119398, 119434, 119494, 119590, 119734, 119938?\nAnswer: 120214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-8\/11)*n**(-1\/39)*n*n*n*n**43\/(n\/(n\/(n\/(n\/((n*n**(-37))\/n)))*n)) assuming n is positive.\nAnswer: n**(36766\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*-2*2*3\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -16*(51\/(-12) + 0) and 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/360 + n**5\/40 - n**4\/6 + 10*n**3\/3 - 25*n. Let w(v) be the second derivative of f(v). Determine w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2032571 * -0.2\nAnswer: -406514.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.3981nm in micrometers?\nAnswer: 0.2513981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 - 3*m**2 + 3*m**2)*(1 - m**2 - 1) + 13651*m**4 - 6824*m**4 - 1 - m**2 - 6807*m**4 in the form b + x*m**4 + o*m + z*m**2 + t*m**3 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336966 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20 + 80\/(-8) - (-5)\/1. Suppose -1064 = -o*y - 4*y. Calculate the lowest common multiple of 84 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*n + 24. Let l(t) = t**2 - t - 3. Calculate the remainder when 67 is divided by l(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/444 and -39\/368.\nAnswer: 40848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (10 + (17 - 11)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 8 - 80)*(0 - q + 0) to the form f + p*q and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 21*m**2 - 22*m - 10. Calculate h(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4 + k**3 + 3*k**2 - 30. What are the prime factors of u(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1008435 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.68 + 447.68. Let j = -438.99999236 + z. Round j to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 39 (c) -4 (d) 4879 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 583069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (132\/(-8))\/(-11)*(-4)\/(-3). Suppose 3 = -5*a - g, 6 = -2*a + 3*a - b*g. Solve a = 5*r + 2*n + 15, -2*r - 25 = -n - 2*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11545 + -13355?\nAnswer: -25344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221 + 5. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, -4, 14, -0.07, 37 in increasing order.\nAnswer: -4, -0.07, 1\/16, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:19 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -12. Let g = x + -21. Which is the closest to 1? (a) 3\/4 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*u - 1121 + 312 = 5*u + 730 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - 2*r)*(199 - 199 - 7*r**2) + (2*r**2 - 1 + 1)*(2*r - 6*r + 2*r) + 5*r**3 + r**3 - 5*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*a + 48 = -92*a. Let z(g) = g + 4. Let q be z(5). Suppose -q = -3*p + a. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 39?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjvtwsgw. What is prob of sequence wgvw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 20*c**2 - 16*c - 8. Let l be s(19). Solve -4*t - 4 = 0, 0 = 51*a - l*a + 5*t + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-2)*32\/10. Suppose 2*z - 4*z + a = 0. Let p = -18 + z. Solve -4*b + 2 + p = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0275722546 rounded to 4 dps?\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-116 - (-68 + 51 - (7 + -19))).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (33 - (102 - 118))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29272691 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -109\/11, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 7*f - 12. Suppose 25 = -5*s, -3*i + 0 = -5*s + 2. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/4)\/2 - 3. Solve -25*v + 21*v - 4 = b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 2*x**2 - x. Let d be t(1). Let a be (-210)\/14 + (d + 1)\/1. Which is smaller: -18 or a?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 1. Let x be y(1). Suppose -4*t + 78 = x. Calculate the least common multiple of t and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1121, -1129, -1161, -1229, -1345, -1521?\n\"Answer: -2*i**3 + 6*i - 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 6. Let s be 23 - (-3 + 12\/h). Suppose 0 = 2*v - 2*k - s, 4*k - 33 = -3*v - k. Calculate the remainder when 32 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 3*b**2 + 2*b**5 + (0 - 3 + 2)*(-b**5 + 3*b**5 + b**5))*(2 - 5 + 4).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 5*c**2 + 3*c - 1. Let j be i(5). Let m = -9 + j. Solve -2*o + 2 = 2*z, m*z - 5 = 2*o + o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 3:24 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -d80188 (base 14) in base 16?\nAnswer: -6f611c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1318.145 - 1318. What is the fourth smallest value in q, -1\/5, -5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/15*-430*1*(-1176)\/(-1232). Which is the second biggest value? (a) t (b) -0.2 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.051 and -3699.\nAnswer: -188.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.325 + -0.025. Let f = -139746934.7000083 - -139746943. Let t = f - n. What is t rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15998009 is divided by 80798.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 4131.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 3*n - 22180 + 22180.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k - 16. Suppose -d + k = -3*d. Let a be (2\/7)\/(d\/(-14)). Solve 0 = -z + 5 - a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -16 + 632. Let o = -43 + a. Which is bigger: o or -31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 772.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635608 divided by -1.\nAnswer: 635608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10045 divided by 7?\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 1.339.\nAnswer: 7.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 21*c**2 - 22*c + 21. Let h be w(22). Let l be h + -7 + -6 + 0. Which is bigger: l or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/7 + 488*b\/7 - 984\/7 = 0 for b.\nAnswer: -246, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 136*f**3 + 14*f**2 - f + 10. Calculate the remainder when d(3) is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10328 - 10784. Which is the nearest to -0.1? (a) j (b) 2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744045163 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011110000000 + -11011010?\nAnswer: -1101100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-14) + (0\/(-2) - -26). Suppose -187 = -3*o + 8. Calculate the highest common factor of o and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*g - 200 = 387*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a factor of 1560798511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - ((sqrt(432) + -3 - sqrt(432)) + sqrt(432))*-1) + sqrt(432))**2 + sqrt(432).\nAnswer: -204*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79168*g**4 + 58*g**2 + 5542*g + 1651 wrt g.\nAnswer: 950016*g**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.851 minus -0.1068799?\nAnswer: -64.7441201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3815\/4 + -19067\/20. Let c = -117 - -589\/5. Let y = 3.3 - 3. Sort y, -0.2, c, h in descending order.\nAnswer: c, h, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 19*q**2 + 28*q - 19. What are the prime factors of r(18)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1013.57 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16020147?\nAnswer: 3, 11, 13, 107, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/((-22)\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 bigger than -34410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*w + 46 = 194*w - 7*m, 0 = w - 5*m - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 38297712.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 3335?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r - 36. Let c be o(-5). Solve 6*y - 2*y = c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51749121*c - 27482207 wrt c.\nAnswer: -51749121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 286*x**2 + 2233*x + 2239. Give c(-278).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/546 and 43\/4933266?\nAnswer: 34532862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 29 = 4*b - 42, -87 = -3*b + 3*h. Let w be (-170)\/(-6) + 16\/b. Let x = 1 + w. Calculate the remainder when x is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -271*y - 51. Let o(v) = -551*v - 102. Let a(l) = -5*j(l) + 2*o(l). Find the first derivative of a(q) wrt q.\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449607830 and 950.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.84264 to 1 decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1167.4389 months to years.\nAnswer: 97.286575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30784 (base 9) to base 10\nAnswer: 20326","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.314.\nAnswer: 5.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.009 + 12.509. Let v = 4.5 + h. Let x = v + -18. Which is the nearest to -1\/4? (a) x (b) -4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*c + 133 - 135, 2*c = 2*k - 2. Solve 0*h - k*h = -3*b - 9, -h + 1 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20381070637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7199?\nAnswer: 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 40*d**2 + 39*d**2 - 22*d**2 - 9*d**2 to n + t*d + i*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510072 or -510424?\nAnswer: -510424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.05095 centimeters in meters?\nAnswer: 0.9605095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 1432*y**2 - 105764*y - 4171888.\nAnswer: -4*(y - 193)**2*(y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**2 - 5*i + 10. Suppose 0 = 5*d + 5*k - 30, -3*k + 9 = -d + k. List the prime factors of h(d).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 2*i + 2*i + (2 - 2 + 2*i)*(-2 + 1 - 1) - 2*i + 4 - 4 - 11 - 771*i + 328*i + 1139*i.\nAnswer: 688*i - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -25?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 21085*g**2.\nAnswer: -g**2*(g - 21085)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7000141.\nAnswer: 17, 31, 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8735*s**5 + 88*s**4 + 3*s**3 + s**2 - 11*s + 286974 wrt s?\nAnswer: -524100*s**2 + 2112*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -2 + (-2 - 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-18) - 6\/180*5\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000598 to 7 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.282678 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36287, -72563, -108839, -145115?\n\"Answer: -36276*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-742)\/146 - -4). Let g = q - -176\/365. Which is smaller: g or 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 9*f - 6*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16343 * -181.\nAnswer: 2958083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*w + 46. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282 is divided by 101.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 - 3) - 1 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 13*w = -18*w - 83, 2*o + 4*w - 110 = 0. Calculate the highest common divisor of 294 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/48*(-104)\/10 and 8 + -4 + 280\/(-216)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:42 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 0. Calculate the highest common divisor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 + 7950*c**2\/7 - 7423350*c\/7 - 961865750\/7.\nAnswer: -2*(c - 2045)**2*(c + 115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.212295km to millimeters.\nAnswer: 1212295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0 + 0 + (15*q + 158*q + 69*q)*(2 + 0 - 3))*(q - 6*q + 3*q).\nAnswer: 478*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1162736222 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/49844?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 466 - 5116423?\nAnswer: -5115735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430683321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*s - 1095 - 25 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 432 = 19*y. Solve -8 = -y*v + 20*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 3\/76, -61.351, 4?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/4 or 0.86535?\nAnswer: 0.86535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -27?\nAnswer: 124\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (41 - 6 - 33)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -124. Suppose 2*d + d + 2*c + h = 0, -2*d - 4*c = 32. Is 0 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p**(2\/7)*p)\/p))**(-40)*(p*p\/p**(-1\/4)*p)**18)**(8\/7))**(-1\/10) assuming p is positive.\nAnswer: p**(-838\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f = -59*f - 2*a + 3162940, 5*f + 4*a = 2635767. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30642 + 250*s**3 + 1179*s**3 + 29948 - 273*s**3 wrt s.\nAnswer: 3468*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73606674*o**2 - 63338874*o?\nAnswer: 147213348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 + 0*l + 0*l**4 + 1\/60*l**5 + 1\/3*l**3 - 2*l**2. Let d(y) be the first derivative of u(y). Let n(w) = 4*w**2. Give n(d(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*j - 1597 - 15648 = 8429 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.42361*-15.96\nAnswer: 22.7208156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -11\/20770345?\nAnswer: -11\/20770345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26994 by -6.\nAnswer: 4499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1.5 (c) 1 (d) 14 (e) -49 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/5896359 and -2\/21.\nAnswer: 5896359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 9*u. Suppose -14*a + 376 - 334 = u. Solve a*k = -16 + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -606452.\nAnswer: -606450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2 - u**4 + u - 2 + u**3 - u**2. Let c(i) = 8*i**4 - 5*i**3 + 2*i**2 - 5*i. Let b(s) = -c(s) - 5*d(s). What is the third derivative of b(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31368 - 31364. Factor 1\/2*i**4 + 9*i**2 - 27\/2 + m*i**3 + 0*i.\nAnswer: (i - 1)*(i + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + v**4 + 2*v**2 - 3*v**4 - v**2 to j*v + t*v**2 + u + r*v**3 + x*v**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**3 + 40*v**2 + 12*v.\nAnswer: -v*(v - 6)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20*v**3 - 2*v**2 + 2*v + 68. Let c(t) = 43*t**3 - 5*t**2 + 5*t + 136. Calculate 2*c(r) - 5*l(r).\nAnswer: -14*r**3 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 43*u**2 - 57*u + 6. Let d(c) = 237*c**2 - 285*c + 33. Let z(x) = 2*d(x) - 11*v(x). Let f(q) = -25*q**2. Determine z(f(l)).\nAnswer: 625*l**4 - 1425*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -7*y**3\/6 + 41*y**2 + 39*y. Calculate the smallest common multiple of o(10) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66796 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52\/3 - -18. Sort q, -14, -3\/4, -2\/11.\nAnswer: -14, -3\/4, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {p: 5, d: 2, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(100))\/(sqrt(18)\/sqrt(324)) + 2.\nAnswer: 2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + sqrt(200)*-2)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299\/2 - 150. What is the second biggest value in w, 0, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*32.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*i**4*y**3 - 693*i**4*y**2 + 4*i*y**3 - i*y + 8*y**3 - 22*y**2 wrt i.\nAnswer: 108*i**2*y**3 - 8316*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5108*i + 1304. Let q be l(62). What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305 or 0.2?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2811, -2818, -2839, -2880, -2947, -3046, -3183?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.447 - -0.227. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/13 - 80*y**2\/13 + 96*y = 0. Calculate y.\nAnswer: -52, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1031?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 7*k + 19. Let p be a(-8). Let l = p - 24. Let q(w) = w + 2. Let x be q(3). Solve x*h - 5*n = -15, l*h = -0*n + 2*n - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 881792 and 49435464?\nAnswer: 790967424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, a: 9}. Give prob of picking 4 j.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + -0.44. What is the closest to 0 in d, 2\/3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 84, 4.\nAnswer: -3, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d**2 - 2*d + 2. Let w(a) = -a**2 - a + 1. Suppose -173 + 133 = 20*y. Give y*w(c) + q(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2 + 2 + 5*a. Let l(p) be the second derivative of p**6\/144 - p**4\/4 - p**2\/2 - 73*p. Let n(u) be the third derivative of l(u). Give n(r(d)).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8*j**4\/3 - 1008050*j**3\/3 + 1260052*j**2\/3 - 252010*j\/3 = 0.\nAnswer: 0, 1\/4, 1, 126005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express 1536*p**2 - 2836*p + 363*p**2 - 520*p**2 + 5677*p - 2835*p in the form d + o*p + x*p**2 and give x.\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let p(l) = 2*l + 4*l - 2*l - o. Calculate p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287.40913 - -133.40996. Let i = g + 154. Round i to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10814 + -10806. Is h equal to -2.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - 95)\/(-280)*-427.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 57934?\nAnswer: 521406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (23 + -6 + 10 + -42)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 532, 4203, 14110, 33355, 65040, 112267?\n\"Answer: 517*x**3 + 16*x**2 + 4*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + i - 5)*(1237*i**2 + i - 1235*i**2 + 20*i).\nAnswer: 2*i**3 + 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166 + -102?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d + 3. Let b be v(4). Let p = b + 3. Suppose -8*s + 25 + 87 = 0. Calculate the least common multiple of p and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = 5*i - 7*i. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(3)*2 + sqrt(3)))\/sqrt(800).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.3 (b) -0.26 (c) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7 - u**6\/30 + 101*u**4\/12 + 9*u + 6. Find the third derivative of c(b) wrt b.\nAnswer: -2520*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 - 431*y\/3 + 119140.\nAnswer: -(y - 518)*(y + 1380)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.18 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by 72.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79326\/(-7345))\/(1\/((-5)\/(-2)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1. Let n(m) = 1071*m - 37490. Let y be n(35). Which is the third biggest value? (a) y (b) 2\/5 (c) o (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 742*n - 489 + 983 - 494 to q + b*n + r*n**3 + m*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4 + 14098*v**3 - 56404*v**2 + 56408*v = 0?\nAnswer: -14102, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 170\/(-75) - 2\/(-3). Which is greater: 0.3 or o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021687 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 26. Suppose 4*b - 70 - 98 = 0. Calculate the remainder when b is divided by (1 + 0)*(2 - m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -3.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:05 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 5*i - 3*i)*(5110 - 5110 - 80*i) + (-1 + 1 + 1)*(-2*i + 2*i + i**2) to g*i + o + a*i**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.11569mm?\nAnswer: 6115.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 30*d**2 - 1012*d + 30397. What is p(30)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32021, 64072, 96159, 128288, 160465, 192696?\n\"Answer: d**3 + 12*d**2 + 32008*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + -140. Suppose -5*h = -z*w - 60 - 123, 0 = 5*w + 20. What is the greatest common divisor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4886 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540545.\nAnswer: 5, 108109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 12*d - 63 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/12 - 35\/(-7). Let q = 44.5 + -13.5. Let o = -30.2 + q. Sort m, -2\/3, o, 2\/17 in decreasing order.\nAnswer: o, 2\/17, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/v**(2\/9)))*v)**45\/(v**9\/v*v*v\/((v*v*v**8*v)\/v))*(v**2)**(-2\/3)*(v\/(v\/(v*v\/v**9)))\/(v*v\/(v\/(v\/(v**(-7)\/v)))) assuming v is positive.\nAnswer: v**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 543299643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = u + 218 - 209, -5*a + 125 = 15*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 150433796 = 150433794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**11*l*l*l*l\/l**(-16)*l)\/(l**(-2\/9)\/l**(-2)) assuming l is positive.\nAnswer: l**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958734*p - 238 = 958751*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/(-16)*-2)\/((-13640)\/(-1760))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**3 - 62*k**2 + 62*k**2.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56064 - 56102.489. Round i to 1 decimal place.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 2*s + 3*s - s. Let c be p(-3). Solve -4*v = -c - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 29. Suppose -8*t - k = 4. Is -3 + 2 + (t - -1 - -264) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324*k**4*l**3 - 317*l**3 - 3*l**2 with respect to k.\nAnswer: -1296*k**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 96 + 66. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 87 = -24*a. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k + 5*p - 1, 0 = -p + 2. What is the remainder when -3 - (-1 - (12 + 0)) is divided by -1 - 5*1\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40639 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -171 - 1009?\nAnswer: -117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s**3 - 18*s**2 - 15*s - 21. Let z(a) = -a**3 + a - 1. Let b(q) = -w(q) + 3*z(q). Let n(p) = -p**3 + p**2 + p + 1. Determine b(x) - 18*n(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-98)\/6)\/((-5)\/135). Let f = 444 - v. Solve -3*c + 3 = -6*c, g + 1 = f*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**5 - 135*f**4 - 2*f**3 + 1112*f**2 + 4*f.\nAnswer: -360*f**2 - 3240*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1187, 1183, 1179?\n\"Answer: -4*u + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9\/(189\/14) + -2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/37, -4, 861?\nAnswer: 861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 132290, 1058319, 3571842, 8466611, 16536378, 28574895, 45375914?\n\"Answer: 132292*l**3 - 5*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271\/2964 - 2\/247. What is the nearest to -2\/3 in v, 1, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/665 and 2\/20811875?\nAnswer: 395425625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/34 (b) 0.22 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 19. Let n be b(17). Factor -4*v**3 - 35*v - 2*v**4 + 11*v - 22*v**n - 8*v**3 + 12*v.\nAnswer: -2*v*(v + 1)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - u - 1. Let w(n) = 73*n**2 - 2*n + 13. Calculate 2*a(b) - w(b).\nAnswer: -79*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2468574*n - 8557661?\nAnswer: 2468574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4036643325?\nAnswer: 3, 5, 11, 13, 109, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(208) + -2).\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128557\/32568 - 233\/59. Find the common denominator of -109\/72 and k.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 1270. Let g = 924 - c. What is the fourth biggest value in g, 84, 1, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154976.\nAnswer: 2, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -6, -33, -76, -135, -210?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**4 + m**3 - 2*m**2 + m. Let k(w) = -10*w**4 - 2*w**3 + 5*w**2 - 11*w + 7. Let p(x) = 2*f(x) + k(x). Find the second derivative of p(v) wrt v.\nAnswer: -168*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*f - 25, -9*x - 4*f = -168 + 76 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 115876*z**2 - 115877*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:11 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 35 - 13441*u - 12.\nAnswer: -13441*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-70)*2390\/3824?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/51 and -119\/200766?\nAnswer: 3413022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.2. Let l = -8 - -3. Let x = -4.7 - -4.6. Sort x, o, l in ascending order.\nAnswer: l, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n + 26617*n**2 - 13292*n**2 + 2*n - 13326*n**2.\nAnswer: -n**2 + 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 731359808 and 7712?\nAnswer: 7712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669383266?\nAnswer: 2, 334691633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/54 + 8*i**3\/27 + 16*i**2\/9 - 11*i. Let r(b) = 0. Calculate b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 17024.\nAnswer: 5\/17024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 - 462*l + 1896 = 0.\nAnswer: -158, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80025770 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {a: 7, m: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from nhothththoh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -1241 + 662. What is the closest to y in -0.2, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-10))\/(6\/20). Suppose -393 = -5*v + s*v. What is v rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -0.023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3770348 - -1?\nAnswer: -3770347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 2. Let n be h(3). Is 8\/(-10)*n*35 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*z = 909, 1160 - 425 = 4*i + 5*z. Suppose 2*q = -18 - 22. Let j = q + 38. Calculate the highest common divisor of j and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-1)\/sqrt(12))\/sqrt(5).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let q(a) = a**3 + a - 1. Let o = 0 - -3. Let j(v) = -4*v**3 - 4*v**2 - 5*v + 3. Let w(b) = o*q(b) + j(b). Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 4*c - 102050 + 101922, -88 = -v + 3*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, x: 2, j: 5, g: 1, m: 6}. Give prob of sequence jpm.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32908 and 19076.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 2202.\nAnswer: 880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1095*y - 910*y + 751*y - 68328 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-3) - 4\/6. Sort h, -46, -3 in increasing order.\nAnswer: -46, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzw when four letters picked without replacement from {u: 2, w: 1, z: 4, j: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 0.2 (c) 14.5 (d) 5 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let z be ((-1)\/3)\/((-1)\/(-3)). Let c(d) = -6*d**2 - 8*d - 8. Let t(g) = z*c(g) + 4*b(g). Solve t(l) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Let z*v - 16*v**2 - 11*v - 4*v**3 - 7*v = 0. Calculate v.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.11 (c) -1\/14 (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k + 13*k + 1 + 2 + 13. Let o be h(-9). Let f be (0 + 0 + -2)*7\/o. Solve 3*c + 4 = f*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 29 in increasing order.\nAnswer: 1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189907 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11607 is divided by 42?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/36 or 0?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, 3, -1\/3, 0.4, -6\/74567?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*i - 277*i + 11664 = -10161 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009338 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 151, 45, -131, -377, -693, -1079, -1535?\n\"Answer: -35*u**2 - u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576179047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + -1.49. Let d = -7 + 5. Let n = d - y. Which is the nearest to -1? (a) -1\/5 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18027\/132198)\/((-36)\/11)*6\/8.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 1.1, 2, 0.049, 4, 1\/7?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1, e: 5, r: 1, d: 6, p: 2}. Give prob of picking 1 x and 1 d.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736666367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -176*g - 1. Let u be c(-1). Let d = u - 26. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87832947 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -37379254?\nAnswer: -7475850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a**3 - 4*a + 4. Let n(j) = -25*j**3 + 9*j - 9. Determine 9*c(t) + 4*n(t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 710, 1 in descending order.\nAnswer: 710, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -403 - -435.9. Let j = 33.1 - m. Which is the biggest value? (a) j (b) 2 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64936*n**3 - 30055*n**3 - 34869*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(66)*-2 - sqrt(66)) + sqrt(66))\/(-2*sqrt(54)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1038*v**2 - v + 7. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06971105 rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2331823 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/15 and 81\/5426?\nAnswer: 81390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25304, -47988, -70672, -93356, -116040?\nAnswer: -138724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/2)\/1)\/(118\/(-59)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -19. Let m = k - -11.7. Which is the closest to m? (a) 0 (b) -3\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 14*i**2 - 13*i + 6. Suppose -p = u - 3*u - 166, -81 = u - p. Let r = 98 + u. Calculate h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125871 is divided by 322.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 0*h**3 - 4*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l - 21887 = -24862. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 32*r + 62. Let d be l(30). Sort d, -2\/5, -2\/19.\nAnswer: -2\/5, -2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**2 - 2*f - 2. Let r be t(-1). Let k be 4\/r - (-7)\/2. Solve -8 = -2*z + k*j, -z + 10 - 2 = -3*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1137*i + 36*i**4 + 1137*i + (-2*i**3 + i**3 - i**3)*(1 - 1 - 2*i) - i**4 + 0*i**4 + 2*i**4 to the form w*i + y + f*i**3 + q*i**2 + z*i**4 and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -3*o + 2*o, 4*o = 3*y - 34. Solve y*h + g = 2*h - 17, 0 = h - g + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10084 or -10088?\nAnswer: -10084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 2*w**2 - 5 + 5*w**2 - 3*w. Suppose -2 - 3 = -v. Is n(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/33 and -38\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-z**2 + 0*z**2 - 4*z**2)*(-4*z - 3*z + 5*z).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 459281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 4)\/1*-1. Let t(z) = z + 2. Let u(s) = -9*s - 1 + 4*s - 5 + 2*s. Determine x*u(f) + 8*t(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12463498 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -406 + 405.99788. Round g to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 103005?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 13 = 6*m - 4*m, 0 = -i - 4*m + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18556272 by 328.\nAnswer: -56574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -563 divided by -3?\nAnswer: 563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 10 - 46. Let i be (-21)\/14 - y\/2. Suppose 3*p = -j - p + 35, -i*j - 5*p + 140 = 0. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.0724283, 3 in decreasing order.\nAnswer: 3, 0.0724283, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*t = -7*t + 120, -5*c + 120 = 4*t. What is the greatest common divisor of 1128 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/522 and 65\/10788.\nAnswer: 32364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 0)*(-k + k + 3*k**2)*(283*k - 23*k**2 + 12*k**2 + 10*k**2) in the form p + j*k**4 + l*k + m*k**2 + i*k**3 and give i.\nAnswer: -4245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 94482, 94486, 94492, 94500?\n\"Answer: g**2 + g + 94480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -290 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykgllygylyyggylyyyzl. What is prob of sequence zkg?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28c + -3?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(3 - 3 - 4)*(b - 13*b - 11*b) as z + n*b and give n.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00784780015 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7.5. Let r = -0.5 + 0. What is the smallest value in r, z, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-284)\/96 + 3). Find the common denominator of 18\/h + -1*86\/16 and -7\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3\/8, -1\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(51 + -49)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -7) + -10 + (-1332)\/(-248). Let i = z - 58\/31. Factor i*f**4 + 2*f**3 + f + 5\/2*f**2 + 0.\nAnswer: f*(f + 1)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372, 703, 1034?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -104 - 1. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izbppbmprizib. Give prob of picking 1 m and 3 p.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and -3 - ((-1062 - 7) + 10)?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let l(m) = -12*m**2 - 2*m + 14 - 13*m**b + 12*m**3 + m. What is the tens digit of l(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 a factor of 790593524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 963786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17072 + -17072. Is m > 5\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - -2 - 2 - (-140 + 132)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 3664.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 7*t + 8. Suppose 3*y - 3*u + 0*u - 27 = 0, 3*y = -3*u + 15. Let w be d(y). Calculate the highest common factor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2458.\nAnswer: -2457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73018289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 - -260. Let j = g + -99.0000082. Round j to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Let u = -1 - t. Suppose 28 = 4*j + 2*p, 3*j - p = 3*p - 1. Which is the closest to u? (a) j (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189.14 + -188. Let o = 1.0861 - d. Round o to three dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*o - 94 = -2*y + 732*o, 474*y + o = 20381 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003608 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.49 + 0.01. Let z = -1 - -1. Let r = -1.1 - 3.9. Put g, z, r in increasing order.\nAnswer: r, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/448*-4)\/(15*3\/5)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**3 - 9*g**2 - 16*g - 575. What is the tens digit of s(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -196*p**2 + 5702*p + 5703. Calculate i(-1).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:52 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -j + 28, -4*j = -3*j - 5*b + 17. Find the third derivative of -6*l**5 - 2*l**4 + 4*l**2 + 208 - 208 - j*l wrt l.\nAnswer: -360*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 32*k. Let c(n) = 17*n. Give d(c(u)).\nAnswer: 544*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0725 rounded to 2 decimal places?\nAnswer: 5.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(34)\/(sqrt(12)\/sqrt(6)) + -3 + (sqrt(68)*-1)\/sqrt(4).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 11 = -4*j, 5*j - 6 = -x + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/15 + 4*j**3\/15 + 112*j**2\/5.\nAnswer: -2*j**2*(j - 14)*(j + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 43. Let g = -1.8 - -15.8. Let d = 15 - g. Which is the nearest to 1? (a) d (b) 2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = -48. Let w(g) = -g**3 - 4*g**2 - 8*g - 28. Calculate the least common multiple of w(-4) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldelalaada. What is prob of sequence ald?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4443 + 8885 - 4442 + 4*o**2 - o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**6\/720 - 2*k**4\/3 - 7*k. Let l(b) be the third derivative of v(b). Let a(u) = -2*u**2 - u**2 - u**2. Determine a(l(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -11 - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001 (base 2) to base 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**7\/1260 + h**6\/180 + h**5\/15 + 15*h**4\/4 - 39*h. Let c(u) be the third derivative of x(u). Does 13 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-18 - -4) - (-1 - -18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9*-67\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71452517 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/29548218 and -103\/35874.\nAnswer: 88644654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nun. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967646 is divided by 218627.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 68*1487112\nAnswer: 101123616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r - 30 = -71*r + 4*c, -c + 10 = 2*r. Solve r*x + 12 = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 0 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 2*b - 5*b + 4*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(4\/7)\/x)*x**(9\/5)*x)**(1\/53) assuming x is positive.\nAnswer: x**(148\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 70 = -3*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -1.7?\nAnswer: -107.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1588097\/90 - 35295\/2. Calculate the common denominator of 672\/(-450) - (-1)\/3 and n.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79328 and 268.\nAnswer: 79328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 - -163. Suppose 0 = 4*h + 3*w + x, 3*h + 2*w = 7*h + 62. Let l = 37 + h. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -848*r**3 - 12*r**2 + 99*r + 6334951 wrt r.\nAnswer: -2544*r**2 - 24*r + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - c - 7, -5*s = -3*c - 10. Is 39 a factor of s\/(-1 + 3)*-234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (3 - 2 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000543918 to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 3*k + 11 + 3, 5*b + 2 = -k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from akfffkxfqfkx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 10, q: 2, m: 3}. What is prob of picking 1 v and 1 h?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(((-72)\/(-8) - 12) + 486\/160) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1966 + 1980.07. Let r = 14 - x. Let j = 0.03 - r. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 280156, 560292, 840428, 1120564, 1400700?\n\"Answer: 280136*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 19. Let x be a(12). Suppose x*z - z - 572 = -2*b, 0 = -3*b + 4*z + 838. Suppose -6*c - b - 312 = 0. Round c to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23973 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59633308 divided by 28.\nAnswer: 2129761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsccqcqxqsccfscxsc. What is prob of sequence xffq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 55202318.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046423529 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/5 + (-124)\/30 + 4. What is the nearest to -0.1 in -0.007, 1, -0.4, b?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448515600 by 75.\nAnswer: 5980208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 - 2*p**2 + 1. Let s be o(-1). Suppose 160 + 80 = s*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*o**4 - 65541*o - 9748394?\nAnswer: 16*o**3 - 65541","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6390 and 10650?\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 313510700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5*1\/(-20))\/(-5*(-54)\/2520)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2. Let c(s) = 5277*s. Determine r(c(b)).\nAnswer: 194927103*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 2158*f - 21380. Calculate o(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose b*m - 4 = -4*h, -5*h + 2*m - 10 = -3*m. Suppose q = -h + 3. Solve -q*s = 4 - 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-6))\/(8\/912) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333869960.\nAnswer: 2, 5, 107, 78007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 2*s - 2 + 7026603*s**3 - 7026595*s**3.\nAnswer: 8*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 155, 221, 281, 335, 383?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37 (b) 10\/3 (c) 1487 (d) 2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 9*w - 4. Let d(a) = -a**2 - 9*a + 5. Let j(h) = 2*c(h) + 3*d(h). Give j(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrvt when four letters picked without replacement from tvtttzrvtvttttrtvttz?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/21 + -4)*(-36)\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172405 and 870.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 0.6. Let h = -30.5 - -30.6. Which is the closest to y? (a) 1\/5 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 13*r**2 + 3*r - 43. Give m(-7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 39210582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v**5 + 165880*v**4 + 23757835*v**3 + 829371010*v**2 + 410241280*v + 51095200 = 0. What is v?\nAnswer: -68, -1\/4, 2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 - 3*v + 3*v + (-1 + 1 - v**2)*(0 + 0 + 2*v))*(0 + 1 - 3).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23771196 is divided by 23771148.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -366142?\nAnswer: 366142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*r + 1920 + 4025 + 3055 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (318\/(-30))\/(4 + 42\/(-10)). Let z be (0 - 3\/(-6))*50. Suppose -z = 48*b - d*b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)*t**(-2\/7)\/t*(((t*t\/(t**(1\/4)\/t)*t)\/t)\/t)**(7\/3)*((t**(-2\/19)\/t)\/t**(-2))\/((t*((t\/((t\/t**(-4\/5))\/t))\/t*t)\/t)\/t**1) assuming t is positive.\nAnswer: t**(39839\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427\/99 + -45\/11. Sort -1\/7, g, 0.3.\nAnswer: -1\/7, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -475\/3. Is a equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(1\/11))**27*(o**(-1)\/o)**43\/((o\/o**(1\/4)*o)\/((o\/o**2)\/o*o)) assuming o is positive.\nAnswer: o**(-3689\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 4*m + m, 5*n + 3 = -4*m. Let a = -3 + 3. Let u = a - -3. What is the highest common factor of u and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (23 + -4 - 7) - -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -6*y + 83. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 153 = -5*t + 5*r, 5*t - 3*r + 765 = 0. Let a = 153 + t. Solve -5*q + 40 - 15 = a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - v = -2, s + v = 18 - 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(60)\/(sqrt(72)\/sqrt(6)) - (-4*sqrt(80) - sqrt(80))**2*3.\nAnswer: -6000 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -116*c - 17. What is the tens digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - 56) + 35 - -33.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 - (-40 - -56)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 - 11592*r**3*x**2 + 39*r**2*x - 16*r*x**2 + r + 2*x**2 - 16 wrt r.\nAnswer: -48*r - 69552*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 - 2*s**2)*(-s + 4*s - s) + 0 + s**3 + 0 - 6*s**3 - 8*s**3 + 5*s**3 + (s**2 + 4*s - 4*s)*(0 + 0 - 2*s).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:35 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24679, -41529, -58379, -75229, -92079, -108929?\n\"Answer: -16850*j - 7829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26140035, -26140024, -26139997, -26139948, -26139871?\nAnswer: -26139760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*f - 2*k, 5*k - 41 = 3*f + k. Suppose 5 = h, 0 = -d - 9*h + 4*h + 43. Let s(l) = 10 + l + 14 - d. Give s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277878, -277027, -276176?\nAnswer: -275325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18415\/7 - -2631. Which is the closest to 1\/4? (a) t (b) -2 (c) 0 (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2}. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (1 - 19) + 2. Let t be r\/135 + 2\/15. Is 2\/29 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4715 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 156. Let r be (567\/n)\/3 + (-2)\/13. Put 20, r, -4 in descending order.\nAnswer: 20, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 1757.2.\nAnswer: 1761.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -60. Solve n*c - 24 = 17*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p = 3*p + 8*p - 684 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 311 and 311 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 equal to 269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457*b**3\/4 + 6558*b**2 + 24877*b\/4 + 51\/2 = 0.\nAnswer: -17, -1, -6\/1457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202719800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4650 and 0.01023.\nAnswer: 4650.01023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 4. Suppose u = -3*b, -3*d = 3*b + b - 97. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a + 52?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/462392 and -59\/1449?\nAnswer: 4161528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - 2*s**2)*(0*s - 2*s - 7*s) + 19*s**3 + 8*s**3 + 2*s**3 + (-2*s**2 + 0*s**2 + 0*s**2)*(-2*s + 5*s - 2*s).\nAnswer: 45*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*-1)\/(75\/40700*-12*11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 17*w**2 - 32*w + 73. Let c be r(19). Is c >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 45360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(180))\/sqrt(10) + sqrt(18))\/(sqrt(12)*2))\/(sqrt(96)\/sqrt(3)*1*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + l - 4. Let b be p(3). Suppose z + b = 3*z. Calculate the greatest common divisor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 672 + 678 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0043 + -0.4957. What is the smallest value in 8, -5, -0.1, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394140872?\nAnswer: 2, 37, 41, 47, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:30 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**2 + 0*o - 6 - o + o with respect to o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:40 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -89 (b) 3 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*d + 121, -2*d + y = -d - 26. Suppose 5*p - d = -5. Suppose -p*s - 71 = -263. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 41. Let m(v) = v**2 - 7*v + 2. Let t be m(7). Solve s - t*s + k = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145736 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72297292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131832\/29 + -4546. Which is the smallest value? (a) -1\/21 (b) j (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/3 + 182*u**2\/3 = 0.\nAnswer: -91, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1094\/5 - 219. Is d at most as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.611?\nAnswer: -0.0611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -764134374*l**3*x**2 - 1306*l**2*x - 815*l*x**2 - 4*l + 3*x**2 + 3 wrt l.\nAnswer: -4584806244*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 154, 112, 52, -26, -122, -236?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110 * -12\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1164 - 173?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/12 and -18*(2\/5)\/(22 - (-257220)\/50).\nAnswer: 38748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v + 3*z = 24, -v - 2*z + 9 = 0. Suppose -5*w + 3*b + 22 = 0, -4 = -2*w + 6*w + v*b. Put -5, 0, 1, w in decreasing order.\nAnswer: w, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6197\/41285 or 0?\nAnswer: -6197\/41285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/7, 5, -3\/5, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -9*z + 4 + 158. Let d = -18 + 21. Calculate the smallest common multiple of z and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*1\/(-2) + -4. Suppose w = -q + 4 + 14. Calculate the remainder when 53 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 158\/(-10))*-5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20*0.1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 53*y**2 + 82*y + 11. Calculate b(-5).\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3281 (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130389 - 334389. What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148965 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2588 + 2584. Let y(d) = -1 - 1 + 6*d - 4*d. Give y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635 = 18*h - 1049 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*c**5*n**3 + 77*c**5*n - 100*c**2*n**2 + 32*c*n**3 - 2*c - 2*n**3 wrt c.\nAnswer: 780*c**2*n**3 + 4620*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283*s**3 - 382*s**3 + 170*s**3)*(-6*s**2 + 4*s**2 - 4*s**2).\nAnswer: -426*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002877 to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 57840.\nAnswer: 57840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 67875, 67872, 67895, 67944, 68019?\n\"Answer: 13*w**2 - 42*w + 67904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 688761 and -3254.557?\nAnswer: 692015.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0199 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 + 2092242*z\/7 + 364789715547\/7.\nAnswer: 3*(z + 348707)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2258 and 9.\nAnswer: 20322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*k - 3 = 0, -3*s + 4*k - 18 = -8*s. Let t(c) = 4*c - 18. Let j be t(s). Is 19\/3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45703 (base 9) to base 8.\nAnswer: -73373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3 = 2*j - 9, j = x - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*g + 6 = 0, 3*t + 0*g - g = 17. Suppose 4*a - 226 = -162. Solve -2*q + t = w - 0, 0 = -5*q - w + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(0*a**3 - 2*a**3 + a**3)*(4*a + 4 - 4).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.27 - 23.2. What is t rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82490 by 146.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/(-12) - 3\/(-12). Let x = v + 12. Let y(r) = -33*r - 29. Let n be y(-1). What is the greatest common divisor of n and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 4*g**2 + 31 - 5*g**2 - 3*g**2.\nAnswer: g**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16621888*l**3 + 15087232?\nAnswer: 49865664*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -20 - (2 - -6) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15469*u**2 - 561 wrt u.\nAnswer: 30938*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 268*d**4 - 480960*d**2 - 2*d + 141257605 wrt d?\nAnswer: 1072*d**3 - 961920*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.2414\nAnswer: -1.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165735019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 10:32 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1028\/(-5) + (20\/(-50))\/(4\/(-6)). Suppose l = 6*l - 3*r - 1714, 3*l + 2*r = 1036. Let u = d + l. List the prime factors of u.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/126)\/(628\/2512)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-1 - 4))*1. Suppose r + r + 90 = 2*g, q*r = -2*g + 97. What is the remainder when g is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4143586816 rounded to 3 decimal places?\nAnswer: 1.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 980367 to the power of 1\/2, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 253319831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let y(r) = -r + 1. Let k(s) = s**2 - 5. Let i be k(4). Let p(x) = i + 7 - 10*x - 7. Let h(q) = 2*p(q) - 22*y(q). Calculate z(h(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 16 = -3*u, -2*u = 2*k - 8 + 20. Let a(z) = 1161*z**2 + 1165*z**2 + 7*z + 1165*z**2 - 3490*z**2 + 8. Give a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51c0dc (base 15) to base 9.\nAnswer: -7275550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, y: 7, e: 6, s: 1}. What is prob of sequence yye?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 504432 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 371\/2, 0.34, -5?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 20, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-20)\/(-9))*(-5)\/12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26477 + -3?\nAnswer: 26474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 9) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9*30\/25)\/2)\/((-1)\/10).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*n + 1, 5*n + 12 = -2*j. Suppose 40 = -16*i + 8. Sort 6, 3, j, i in ascending order.\nAnswer: i, j, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228686?\nAnswer: 2, 114343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 21*p**2 + 74*p**2 + 55*p**2 + 74*p**2 + 130*p**2 - 524*p**2. Let u(b) be the third derivative of -b**4\/12 + b**2. What is c(u(x))?\nAnswer: -680*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5\/2 - 9*k**4 - 12*k**3 + 3*k**2 + 27*k\/2 + 6 = 0. What is k?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 1}. What is prob of sequence wi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 1, a: 1, i: 3}. What is prob of picking 2 n and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -37. What is the third smallest value in y, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ype when three letters picked without replacement from pddyedyppeded.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1095\/1729 - -53\/266. What is the common denominator of h and 103\/416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -857500, -857777, -858054, -858331, -858608?\n\"Answer: -277*f - 857223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838417160?\nAnswer: 2, 5, 1427, 49727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.71 + 109.29. Let o = 111.4 - l. Put 2\/15, -5, o in descending order.\nAnswer: o, 2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1246 or -33\/35?\nAnswer: -1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*-1*(-4 + 3). Find the third derivative of -w**2 + 7*w**5 + b*w**6 - 7*w**5 - w**6 wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125350 (base 8) in base 14?\nAnswer: -7d69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, 1\/10, -3.6, -0.1, 1\/9 in ascending order.\nAnswer: -3.6, -2\/5, -0.1, 1\/10, 1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 408, -5 in descending order.\nAnswer: 408, 94, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12904845*u + 9616823.\nAnswer: -12904845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574967085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from yyyyyyybyybbynp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6175 * 2.\nAnswer: -12350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45899 - 46055.304. What is d rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3529 = 8*j - 4999. Let f = 1725 - j. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-26)*5*(-12)\/(-70).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 - 6 + 6 + 0 + 2*f**3 to j*f**3 + c*f**2 + t + y*f and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3 + 80*c**2 - 534*c + 828 = 0.\nAnswer: -46, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 12, -4, 168, 6, -2.\nAnswer: -102, -4, -2, 6, 12, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 549 + -549.3. What is the closest to 1 in 41, 0, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415 a factor of 3377483830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -48*k**2 - 4*k - 116. Let z(g) = 25*g**2 + 2*g + 57. Let w(l) = 2*s(l) + 5*z(l). What is the first derivative of w(x) wrt x?\nAnswer: 58*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 7, -4, -138?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 7813888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*x + 44*x - 13*x)*(-1 - 4 + 4) + 11*x - 41*x + 55*x + 45*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 1\/130*u**5 + 0 + 7\/13*u**3 - 8*u + 4\/39*u**4 + 18\/13*u**2. Suppose v(n) = 0. What is n?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 1, -5.67, -3, 0.3, -1\/7?\nAnswer: -5.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:03 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 73*d**2 + 24 - 1 - 21.\nAnswer: -73*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509857 is divided by 39154.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 110\/4*4\/5. Let b = 24 - x. Sort -2, 1, b in increasing order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7483*z - 7486*z + 0*f = -f - 2, -2*z + 4 = -5*f + 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22635, -22617, -22573, -22491, -22359, -22165, -21897, -21543?\n\"Answer: 2*m**3 + m**2 + m - 22639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 909*j = 1070*j - 7406 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8463303*v**4 - 6037747?\nAnswer: 33853212*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 50*l**2 + 226*l**2 + 42)*(-3*l**3 + 4*l**3 + l**3).\nAnswer: 352*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5 + 1)*-1)\/((-28)\/(-1792))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (41053 + 198\/(-22))*(-1 - -2).\nAnswer: 2, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a2ec (base 15) to base 9\nAnswer: -52186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 - 9*v - 14. Determine c(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229447192 by -664.\nAnswer: 345553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1367 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*q**2 - 374.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 37 = -107. Calculate the remainder when 139 is divided by g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 - 21*l**2 - 30*l**5 - 5*l**5 - 6*l**5 wrt l?\nAnswer: -2280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22483*0.5\nAnswer: -11241.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(56\/2 + 90646\/(-3715))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 2 (c) -3 (d) 0.4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*o - 183*o - 24*o - 23*o - 16*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -4*q + 2*p + 46056012, 3*q - 2*p - 34541994 = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -12\/7, -3, 49.6, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 516963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3571065330266 minus -4?\nAnswer: -3571065330262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30\/139 + 567\/695. Let c = 0.2 - 1.2. Sort -29, 4, j, c.\nAnswer: -29, c, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -262 - 9c112?\nAnswer: -9c374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*k - 18, k - 8*m + 4*m - 6 = 0. Let u be (-22)\/k - (3 + 0). Determine d so that -u*d**3 - 2\/3*d - 4\/3*d**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 12 + 115*g + 11 - 33.\nAnswer: 115*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*u - 63*u + 170*u + 178*u + 586 - 96 wrt u.\nAnswer: 357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 13. Suppose 0 = 4*m - w + 7 + 7, -4*m - 5*w = 26. Let n = 3 - m. List the prime factors of k(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 47. Let i be o(15). Let a = i - 25. Suppose 2*q = -0*q - 3*y - 2, 2*y + 4 = 0. Solve -1 = -a*z + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*x - 6*x + 60 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 313336 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v + 2. Let q(r) = 758173 + 265*r + 758207 - 1516355. Determine -25*d(j) + 2*q(j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6703 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635675 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-11)*n*n)\/n*n\/(n**(4\/19)\/n))**(-2\/69))**(-14\/9) assuming n is positive.\nAnswer: n**(-1456\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -9\/2*c**2 + 13\/6*c**3 - 12*c + 0. Let j be z(1). Solve -b = j*y - 3, -5*y - 2*b = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - 6*t - 3. Let b be i(-4). Suppose -q = -b*a + 85, -3*a - 4*q + 70 + 4 = 0. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291698 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*o**3 + 60*o**3 + 83*o**3 - o + 62*o**3 - 263*o**3.\nAnswer: 37*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 1:51 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 divided by -22.\nAnswer: 113\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 z when three letters picked without replacement from {m: 8, r: 3, z: 5, i: 2, g: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2 = 3*q - 4, -27*q + 22*q = -25 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 637.087446823?\nAnswer: -632.087446823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 54*c**2 + 2*c + 56. Let w be z(-27). Suppose 3*q + 4*u = 8*q + 45, u = w*q + 15. Let f(v) = 2*v**2 + 11*v + 7. Give f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 711007616 or 711007618?\nAnswer: 711007618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c + (-1 - 1 + 0)*(0*c - 2*c + c) + c + 5*c - 3*c)*(22*c - 22*c - 4*c**2).\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Let b = -4 + 7. What is the second derivative of n**3 + p*n + n + n**b wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51621 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose g + 3*g - 20 = 0. Let b = g + -3. Solve -p = s + b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(((-2)\/(-6))\/((-7)\/7)). What is the biggest value in -2\/5, -4\/7, q, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 1. Let y = c + 0.2. What is the nearest to y in 0, -3, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 10*u**2 - u + 12. Let r be a(10). Solve z + 0 = r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 0.30808.\nAnswer: 0.19192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28471*p**5 - 30*p**3 + 2*p**2 + 39955*p + 3?\nAnswer: -1708260*p**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587853142?\nAnswer: 2, 29, 10135399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1078 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 3*y**2 - 3*y + 11. Determine z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 888.787.\nAnswer: 3555.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l - 1. Let a(n) be the third derivative of 7*n**5\/30 - 2*n**2. Calculate the smallest common multiple of 6 and a(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 - 7*n + 1. Let f be b(-5). Which is smaller: -41 or f?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - u + u)*(55*u - 67 + 67) as h*u**2 + r*u + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 68. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380954521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 e when four letters picked without replacement from aacaccaaqaaecccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 502109 or 502107?\nAnswer: 502107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 3 - (-13 + 9). Solve -4*r + 8 = 3*u, -u = 2*u - h*r + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 35*a**2. Let n(v) be the third derivative of -v**5\/10 - 196*v**2. Determine n(r(h)).\nAnswer: -7350*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-403)\/6*6\/(-56). Let a = c - -75\/28. What is the common denominator of a and -17\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -8, -3\/7, -3, -42, 35?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-2) - 2)*-6. Suppose -3*r + 6 = 4*s, s - 3 - 3 = -3*r. Let j be r\/7 - (-48)\/28. Calculate the highest common factor of k and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 54911382\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1750.2.\nAnswer: -700.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*a + 70, b - 472*a = -470*a - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -9*l - 58. Is 16 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 8878371066.\nAnswer: 8878371065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*d - 49 + 425 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 18*p - 8. Let i be h(8). Let m be 15\/4 - 27\/(i - -1). Which is the second smallest value? (a) -0.4 (b) m (c) 0.02 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1105 and 845?\nAnswer: 14365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/120 - h**4\/2 + 31*h**2 + 30*h + 2. Let i(x) be the first derivative of c(x). Suppose i(l) = 0. What is l?\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74733394 + o - 149466782 - 15*o - 3*o + 74733388.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 44*c + 112. Let p = 584 - 584. Let o be l(p). What is the highest common factor of 896 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -183*l + 932. Calculate j(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -1343, -2012, -2681, -3350?\nAnswer: -4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1 - 8 - 2 - z. Let u be f(-8). Is u greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**2 + 37*j + 31 = 0. Calculate j.\nAnswer: -31\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 46*p**2 + 63*p**2 + 2*p**2 - 2*p**2 - 10*p**2 - 2*p**2 + p - p + (-p + 5*p - 2*p)*(0*p + 0*p - 2*p).\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g + 13 - 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*v + 8*v**2 - 12*v**2 + 27*v**3 - 61*v to the form t*v + l*v**2 + o*v**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/(((-5904)\/160)\/(-41))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 + 10865*l**4 + 3631*l**3 - 32589*l**2 - 32596*l - 7244 = 0.\nAnswer: -1, -1\/3, 2, 3622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 12. Let x be h(6). Suppose x*v - v = 0, -2*c = 5*v + 2. Let u(y) = -8*y + 1. What is u(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 143 = -i + n, 4*i - 2*n = -854. Let t = i + 227. What is the third biggest value in -0.4, 1.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251976 is divided by 622.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -52*i**2 - 2*i - 9. Let h(p) = 5*p. Calculate z(h(k)).\nAnswer: -1300*k**2 - 10*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*2*(-1222)\/4277?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -1816003?\nAnswer: -1816003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11316192 and 672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + -508\/5. Let v = 74 - 74. What is the second biggest value in m, 0.5, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321133 + 101?\nAnswer: 2321300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 6\/13*r - 2\/13*r**2 - 4\/13 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 5*p + 14. Suppose -2*w - 25 = -p*w. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 7. Suppose -m = -2*m - 2*g + 12, m + g - 9 = 0. What are the prime factors of r(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.3. Let w = -3 - a. Let l = -137\/3 - -46. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.2445*5252\nAnswer: 64308.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/((-60)\/(-30)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 688830946 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24479540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15221520 and -4?\nAnswer: 60886080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1017972?\nAnswer: 3053916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/5*(-1)\/(-2))\/((-15)\/(345\/92))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 - -2.91. Let i = a + -2.999945. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 3. Let c be n(0). Suppose k = -5*a - c, -5*k - 5*a = -1 - 4. Suppose -12 = -i - q + 11, -5*i = -k*q - 80. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 377882465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/(-2) + 4014\/432 and -65\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-28)\/(-588)*-7*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 6. Solve 3*c = 2 - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**2 - 8*w**2 - 13*w**3 + 20*w**2 + w**3 - 2*w to s*w + z*w**2 + d*w**3 + q and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - z**3 - 110 + 2*z**3 as x*z**3 + v + s*z**2 + p*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -97 + 119 + -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-21))**(-7)*w**(21\/5)\/(w*w*w**(-16\/5)))**(1\/2) assuming w is positive.\nAnswer: w**(-389\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22121230 (base 4) to base 12.\nAnswer: 207a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 4*r - 3. Let n be d(-3). Suppose -5*w = x + 2*x - 149, n = 3*w - 12. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.592? (a) -1\/6 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1089*w - 36*w + 1603*w - 579*w)*(1 - 1 - 2).\nAnswer: -4154*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**6 - 472*q**5 - 534*q**2 + q + 1 wrt q?\nAnswer: 360*q**3 - 28320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39272?\nAnswer: 2, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -16. Solve -c - 2 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 419211ca - -3?\nAnswer: 41921200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*38\/(-3762))\/(6\/(-36))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3075\/27 + (-2)\/(-18). Suppose 2*v - c = 108. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6720*b + 6719*b = 4*m + 38, -3*b + 456 = -45*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/54 and 65\/32823.\nAnswer: 196938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 2*r - r)*(2*r - 6*r + r + (-r + 5 - 5)*(-4 + 4 + 1))*(0*r + 0*r - 3*r) in the form c*r**2 + j*r**3 + f + y*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5, -4448, -1\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(7\/2)*o*o**13)**(-1\/14))**29)**3 assuming o is positive.\nAnswer: o**(-435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/14)\/(70\/(-245)). Solve 7*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 11*j + 4*j + 0*j. Let h(k) be the third derivative of k**4\/12 + k**2. Give h(s(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343521197*b*k**2 + 10281*b + 8339*k wrt k?\nAnswer: -687042394*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y + 1. Let a = -1703 + 1698. Let v(x) = -3*x**2 + 3*x - 2. Give a*o(s) - 2*v(s).\nAnswer: s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 43 + 2*r**4 + 71 + (-2*r**3 - 3*r**3 + 11*r**3)*(70*r + 43 - 43) - 3*r**4 + 0*r**4 + r**4 to o*r**4 + b*r + x + n*r**2 + s*r**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.018 - -0.168. Let l = g - -0.05. Which is the nearest to -1\/7? (a) 0.5 (b) -3\/8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(1008) + -3)**2 + (sqrt(1008) + (sqrt(1008) - (sqrt(1008)*2*3 - sqrt(1008))))**2*-4.\nAnswer: -35264 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -33, -67, -113?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 88\/(-630)*40\/18. Let i = l + 2\/81. Let t be 64\/3 - 4\/12. Is t != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 7, -1.8, -1, 4, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1565038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5993 and 422737?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1) + 23 + (-16)\/4. What is the derivative of -29*f + 16 + n + 48*f wrt f?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(0*w + 3*w - 2*w)*(2*w + 2*w - 3*w) + 4 - 5*w**2 + 6*w**2 + 5 to n*w + x*w**2 + q and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2 + -2)*20\/(-35). What is the third derivative of 4*t**4 + 16*t**4 + 4*t**2 - t**h + 3*t**2 wrt t?\nAnswer: 480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.77 - -1.25. Let l = 2.12 - t. Which is smaller: l or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 4 + 1 - 5*m. Let q(n) = n**3 - 22*n**2 + 39*n + 48. Let u be q(20). Suppose 9*l + u*l = 6*l. Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 7*f + 2*f - 5*f + 5. Let g be q(-4). Let n = g + -53. Solve 3*k + 7 + 5 = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (9 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 - 6 + 2 + 3 - 2 + 1 + 2 + (-1 - 5 + 4)*(2 - 1 - 2) + 5 - 4 + 1 + 6 - 167 + 27)*(4*a - a - 4*a).\nAnswer: 131*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = 4*m, m + 21*n - 20*n = -2. Calculate the common denominator of (-32)\/(-264)*-9*(-14)\/m and 83\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 + -4. Put 1, 4, i in ascending order.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2559?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-3))\/t)\/((t*t\/(t*t**10\/t))\/t))**(-2\/13) assuming t is positive.\nAnswer: t**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 6*q + q)*(-5 + 2*q + 5)*(4*q**3 - 231*q**2 - 6*q**3 - 417 + 415).\nAnswer: -16*q**5 - 1848*q**4 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*d = 3, -4*j + 4*d + 24 = -0*d. Sort -2, -5, j in descending order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*q, 0 = -3*c + 54*q + 97*q - 156*q + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + (-4)\/(-3). Let w be s*(1 + (-3 - -3)). Let i be 2*(2\/w)\/(-4). Which is smaller: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35422 + -31934. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -33, -70, -117, -174?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52826392 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c + 2, 4*j + 13 = 3*c. Let f be 12\/8 - 2\/j. Suppose -26 = -v - 0*d + f*d, -4*d = -8. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(6 + 27 + 0)*(-t**4 - t**4 + t**5 + 3*t**4).\nAnswer: -99*t**5 - 99*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/15 + i**2. Let z(f) = -f. Determine h(z(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 12450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(7*s**2 - 258*s + 258*s) - 4*s**2 + 3*s**2 - s**2 to d*s**2 + n*s + z and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.7 and -5770.563.\nAnswer: -5784.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*h - 24. Let y = 4 - 4. Suppose -h*v - v + 180 = y. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450147?\nAnswer: 3, 181, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26*d. Let h(a) = 69*a**2. Calculate h(z(n)).\nAnswer: 46644*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 31 + 39. What is the remainder when j is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 6. Suppose -26 = -9*b + 10. Let s(v) = -6*v - 5. What is b*w(l) + 5*s(l)?\nAnswer: -6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3\/5 + 5940*v**2 + 57471468*v\/5 + 8596072972\/5 = 0. Calculate v.\nAnswer: -3631, -163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = 1475 - 1715. What is the remainder when 17 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3743, 7470, 11199, 14930?\nAnswer: 18663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8050501309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214613194*a**3 - 57549087*a wrt a.\nAnswer: -1287679164*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165.7166 - -167.21. Let p = s - 1.47. Round p to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 187213, 374457, 561701?\n\"Answer: 187244*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/((-18)\/9) + 14508 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.91850302 to the nearest integer.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 24*n**2 - 10*n - 294. Let j be d(-14). What is the greatest common divisor of j and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/12 + i**2. Let a be g(1). Suppose a*w - 4 = w. What is the lowest common multiple of w and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -63461*g - 463. Let k be m(17). What is k rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 3*j)*(3*j + j - 2*j) - 2*j**2 + 0*j + 0*j - 1 + 1 + 2*j**2 + (-2*j + 1 - 1)*(-j + 4*j - 4*j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i - 101*i + 214 = -1616 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 1, 1262, 6, 0.2 in descending order.\nAnswer: 1262, 6, 1, 0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -21 - (11 + -7) - (184 + -30).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 3.7. Let m = 3 - k. Let u = 2 + m. Which is the nearest to u? (a) -3\/5 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3390*m - 152486. What is v(-45)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:15 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 - 205. Which is the closest to o? (a) 0.2 (b) 2\/31 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*((2 + sqrt(1088))*-1 - (2*sqrt(1088) + 5))**2 + 1.\nAnswer: -19685 - 672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.11 + -0.11. Which is the third biggest value? (a) 6 (b) z (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037127 rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 11 + -49 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 26*p + 13*p - 11*p. Let q(f) be the third derivative of -f**5\/60 + 4*f**2 + 55. Give q(i(u)).\nAnswer: -784*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 860 and 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -400, -551, -972, -1801, -3176, -5235?\n\"Answer: -23*l**3 + 3*l**2 + l - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 12*o - 8. Let m be z(11). Suppose 17 = -0*t + t + m*l, 2*l = t + 3. Suppose 0 = -t*v + 30 + 30. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 49.7, -3010?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 - 4*g**2 + g + 50. Let n(f) = -7*f**3 + 2*f**2 - f - 47. Give 3*n(k) + 2*o(k).\nAnswer: -5*k**3 - 2*k**2 - k - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + 458*i**2 - 5852*i**2 + (-2*i + 4*i - 3*i)*(3*i + 2*i - 6*i) + 0*i**2 - 2*i**2 + 3*i**2 - 2*i**2 - 3*i**2 + 4*i**2.\nAnswer: -5393*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10425)\/20)\/5*-12. Suppose -i = 6*q - 5277. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-5)*p\/(p\/(p*p\/(p\/(p**(-6)\/p)*p)*p))*(p*p\/p**(-1)*p*p*p*p)**(1\/3) assuming p is positive.\nAnswer: p**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Let d(a) = -7669 + 32*a + 7669. Give z(d(u)).\nAnswer: -128*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30680.\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 46 = -3*b. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 8:13 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let p = -1 - y. Which is the third smallest value? (a) -5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 180 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 609860 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03629 to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-85)*-15*-1 - 88\/(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1379407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64402 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 229 = -3*m, -4*z = -z - 3. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d + 14. Suppose -f - 2*f + 21 = 0. Let y be t(f). Let w = -28 - y. Sort w, -5, 2 in descending order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 38 = -p + k, 4*k = 2*p - 44. Let c be p\/(-15)*(-30)\/4. Let g = c + -4. Solve -27 = 2*l + 5*j, l - 13 = g*j + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -17*o + 19. Let c(v) = 66*v - 73. Let i(g) = -6*c(g) - 23*j(g). Let h(x) = 45*x**2. What is h(i(q))?\nAnswer: 1125*q**2 - 450*q + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.011 - -9. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -116, 6\/13, -53?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102246479 - -12?\nAnswer: -102246467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00240236 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnrg when four letters picked without replacement from rgtrtrgrtnrrtkt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92103\/16 - 5753. Let p(o) = o**2 + 5*o. Let a be p(-5). Calculate the common denominator of r and a + -1 - 73\/(-22).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33259157?\nAnswer: 17, 863, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 16977 = 38256 + 36069. List the prime factors of l.\nAnswer: 2, 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 0.08 (b) 5 (c) -1\/4 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207 - 7511*u**2 - 1960 - 504.\nAnswer: -7511*u**2 - 3671","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 5 (c) 3\/8 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48255723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5456 = 4*o - 4*i, 8*i - 9*i = -2*o + 2728. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let c be (-34)\/(-9) + 2\/9. Let a(t) be the first derivative of 3*t**4\/4 + t**2\/2 - 4*t - 1541. Give c*u(s) - a(s).\nAnswer: -3*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3516 + 716 = -156*g + 3908. Solve -42*p = -g*p - 7 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*h**5 - 17*h**4 - 5*h - 8.\nAnswer: 400*h**3 - 204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -2183\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*u - 872900 = 0, 5*o - 2618760 = -o + 5*u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 7 - 12. Suppose s*a - 2*l = 2*l + 163, 4*a - 3*l = 131. Suppose -i - 7 = -2*i. What is the greatest common factor of a and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 56.23?\nAnswer: -0.5623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -58*g**2 + 1135641*g\/4 - 4895\/4 = 0.\nAnswer: 1\/232, 4895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 24*p - 32 = 0. Let c(w) = -74 + 74 + p*w. Let o(j) = -2*j. Determine c(o(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -19361750\nAnswer: 3\/19361750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*g**2 + 22*g**5 + 10*g**5 - 343*g**6 + 341*g**6 - 99*g**2 wrt g.\nAnswer: -240*g**3 + 1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 (base 8) in base 16?\nAnswer: 21f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 1 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6586.1 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1315 (base 12) to base 15\nAnswer: 9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, z: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/18 and 7\/836.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1218, -3, 172 in increasing order.\nAnswer: -1218, -3, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1504856\/591 >= -2545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 9. Let a = -13.164 - z. Let d = -0.1466 - a. Round d to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028009531214 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108080833 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 200343962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3038003?\nAnswer: 3038003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x = 137*x - 343 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -983, -581, -179?\n\"Answer: 402*o - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1511*m**2. Let w(k) = 56*k**2 + 1. What is w(i(c))?\nAnswer: 127854776*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -34*s. What is the least common multiple of z(-2) and -3 - (-3)\/((-15)\/(-65))?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8*(-44)\/12*(0 - -3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2151, 0.4, -10, -1\/6 in increasing order.\nAnswer: -10, -3, -1\/6, 0.4, 5, 2151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129097?\nAnswer: 129097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3274688 + 3275087.006425. Let o = f - 399. Round o to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifx when three letters picked without replacement from xfii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 13. Let x be ((-14)\/(-1) - 4)\/(-1). Let f be v(x). Sort -5, 5, f in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/7 of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/290 and 8\/5227511.\nAnswer: 52275110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5*y**2 - 2*y + 6. Give a(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 0, -4*b - 13 = 3*l - 11. Let c(u) = -5*u**2 + 15*u - 15. Let j(w) = -w**2 + 3*w - 3. What is l*c(x) + 11*j(x)?\nAnswer: -x**2 + 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 - 0)) + (38 - 33)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 403 - 305. Solve 8 = y*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18970, -18992, -19010, -19024?\n\"Answer: 2*b**2 - 28*b - 18944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1677254?\nAnswer: 1677258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 1\/30*c**5 + 0*c**7 + 0*c**4 + 0*c**6 + 0 + 0*c**3 + 1\/112*c**8 - 3*c**2 + 0*c. Find the third derivative of r(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12741 or 12743?\nAnswer: 12741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 24. Let a(g) = -180*g + 263. What is 4*a(c) - 44*j(c)?\nAnswer: -676*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -28, -31, -20, 11, 68?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxrrxxrrrppxrdrxl. Give prob of sequence dr.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (405\/(-15))\/81*(-20 + -1). Solve t*a = 10*a - 18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -39*x**2 - 701*x + 7. What is z(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/3577 + 218213\/28616. Calculate the common denominator of z and -71\/806.\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - -17. Calculate the lowest common multiple of z and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/15 - 70946*z\/15 - 544272\/5 = 0. What is z?\nAnswer: -23, 35496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k - 2*k + 4*z, 3*k = -4*z + 2. What is the units digit of ((-42)\/(-2 - 1))\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106396, 212730, 319050, 425356, 531648?\nAnswer: 637926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 0*i**2 + 2*i**3 - 5*i**2 + 4*i**2 + 2*i**2 - i - 3. Let j(s) = 2*s**3 + 2*s**2 - 2*s - 4. Determine 3*j(m) - 4*p(m).\nAnswer: -2*m**3 + 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 111704515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*x - 12, 5*t - 287*x + 289*x - 8 = 0. Let n = -1\/3155 + 6689\/1262. What is the common denominator of (-2 + t\/(-20))\/(288\/60) and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 7243337?\nAnswer: 7243342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/168*4 + 468\/7560)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -25*g**4\/12 + g**2\/2 + 222*g. Calculate m(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:48 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(9\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-2\/13)*o))\/(o*o**(2\/19)))\/((((o*o**0)\/o)\/o)\/(o**(-8)\/o)) assuming o is positive.\nAnswer: o**(-2211\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11267 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from nlnnffflff.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406795937?\nAnswer: 179, 2272603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.8. Let j = q - -0.3. Let k = j + 0. What is the nearest to k in 2, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2. Let w(g) = g + 10. Let z be w(-7). Let u(c) = 3*c**2. Let f(q) = z*u(q) - 5*n(q). Let a(r) = 4*r. Calculate a(f(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.693537039 rounded to four dps?\nAnswer: -2.6935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 66, 90, 124, 168, 222, 286?\n\"Answer: 5*s**2 - s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1075 - -2223\/2. Calculate the common denominator of l and -41\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1165 in 4, 0.5, 5, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h - 33. What is x(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.38 take away 2.314148747837?\nAnswer: -6.694148747837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*d - 20, -2*m + 2*d = 0. Let p(q) = -31*q**2 + 9*q - 2. Let o be p(m). What is the common denominator of 1*3 + o\/36 and 19\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 3*v**2 - 2*v**2 + (-2*v + 0*v + 3*v)*(4*v - 2*v + 0*v) + 101*v**2 + 106*v**2 - 203*v**2 - 40*v in the form q*v + n + u*v**2 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9500 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*l = w - 0*l, 0 = -5*w + 3*l. What is u in w + 2\/3*u - 2\/9*u**2 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Suppose -4*x = -2*a + 6, a - n*x + 4 = 12. Let p = a + 13. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 208*k**2 - 5315*k + 4454. What is b(-178)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7282 - -7207. Put r, 12, 5 in increasing order.\nAnswer: r, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143.43 - 144. Let q = 0.87 + j. Which is the closest to 2? (a) -2 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -55. Let d(s) = 4 - 9*s + 7 - b. Let j(h) = 5*h**2. Determine j(d(l)).\nAnswer: 405*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let c(m) = -16*m - 5. Determine -c(r) - 5*u(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = 2*c - 9*d, 0 = 4*c - 3*d - 8. Solve c*z = 4*y + 7*z - 5, -y = -4*z + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1910.114653?\nAnswer: -1910.014653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47439200, 94878431, 142317652, 189756857, 237196040, 284635195, 332074316?\n\"Answer: -z**3 + z**2 + 47439235*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*s + 5*v + 75, -3*s - 25 = -4*v. Let g be s\/(-20) + (-3)\/4. Determine p, given that -2\/5*p - 1\/5*p**2 + g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.5, -0.0738, 1119, 2\/7, 0.4?\nAnswer: 1119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -35*r**2 + 2*r + 7. Let a be c(2). Let m = a + 129. Let d = 1 + 0. Solve m*k = -k + d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asat when four letters picked without replacement from {g: 5, s: 2, y: 5, t: 5, n: 1, a: 2}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 721\/3 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4181269*a**3 - a - 2563904.\nAnswer: -25087614*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {r: 5, i: 2, o: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -120, 80.\nAnswer: -120, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 31*l - 93. Calculate the remainder when z(34) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8*u = -32, -30*u + 33*u - 2 = 2*h. Put 39, -7, h in decreasing order.\nAnswer: 39, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -36788?\nAnswer: 36778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3000*p**2 + 38*p + 3. Let u(x) = 14998*x**2 - 191*x - 15. Let k(g) = 4*u(g) + 19*y(g). What is the second derivative of k(o) wrt o?\nAnswer: 5984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -906*j + 64325. Give u(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 29. Let y be q(8). Suppose 3*o + y*s - 9 = 0, 0 = -5*o - 2*s - 2*s + 15. Suppose 0 = -o*p + 6*p - 156. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/557475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00622874 rounded to four decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.037 (b) -5\/6 (c) -0.04 (d) 2\/23 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q. Let g be k(0). Let t be (-1)\/1 - 1 - -5. Suppose -4*i + 40 = 4*i. Solve g = t*c - i*j + 8, -2*c - 3*j = c - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9001347 smaller than 9001364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 1404*l**2 - 3*l + 1404.\nAnswer: 3*(l - 468)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - 0.58. Let a = 0.06 + 0.44. What is the third smallest value in 4, a, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 3. Let f(r) = -r**3 - 22*r**2 + 2*r + 51. Let o be f(-22). Determine k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -32*w + 29*w. Let g(h) = 4*h**3 - 7*h**2 + 7*h + 6. Let q(s) = -s**3 + s**2 - s - 1. Let v(m) = -g(m) - 5*q(m). Calculate v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -22*g - 175. Let d(a) = 31*a + 263. Determine 5*d(i) + 7*l(i).\nAnswer: i + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30022131113 (base 4) to base 11.\nAnswer: -1888688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7056)\/64 + (-2)\/(-8). Let x = f - -347. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose b = -5*p + 28, -2*p - 13 = -5*b + 46. Suppose b*f = 12*f + 5. Solve f*j + k*j = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 + 7*c**2 + 75*c - 151. Let v(h) = 3*h**3 - 6*h**2 - 72*h + 147. Let t(m) = 3*r(m) + 4*v(m). Determine w, given that t(w) = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iinipifikkff. Give prob of sequence pif.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 12. Suppose -h = -3*h - 28. Let w = h - x. Calculate the remainder when 18 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8*i = 7*i + 1, 5*i = 4*x - 33. Let z be ((-3)\/15)\/((-4)\/(-3018)). Let h = 151 + z. What is the third biggest value in 0, x, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 10*h - 66. Find r, given that -80 + r**2 + h*r + 2*r**2 - 106 - 76*r - 23*r = 0.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) 0.2 (b) -0.2 (c) -9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 52*w + 868 = 0. Calculate the remainder when 165 is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2032 (b) -64 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -619 - -623. Which is bigger: 1.3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2051 divide 9974013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -524 - -1354. Suppose -f = -21*z + 11*z. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:02 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*a - 7, 79*a - 3*d - 134 + 49 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 201, 1371, 2541, 3711, 4881?\n\"Answer: 1170*x - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 101*i = 4, -t = -3*i + 22 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*c - 1 = 23, -5*j + 15 = 5*c. Suppose 3*m = 2*r - j*r + 251, -2*m = -2*r - 158. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, -339, 0, 4 in descending order.\nAnswer: 4, 3, 0, -2, -4, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 105. Let q = 0.3 + -11.3. Which is the closest to q? (a) -2 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12512\/7 + -226189\/126. Find the common denominator of x and -35\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19250778 greater than 19250780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -68927 = -68932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/900 and -7\/375.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.07 (b) -0.13 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -30 + -10 - (-3 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/295 (b) 3 (c) -15 (d) -0.3 (e) 2\/265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -23*n**3 + 21*n**2 - n + 3. Let i(j) = -66*j**3 + 62*j**2 - 4*j + 8. Let u(y) = -3*i(y) + 8*l(y). Suppose u(t) = 0. Calculate t.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 plus 69?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11539277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13142?\nAnswer: 2, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295687 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*c + 4, -z - 5*c = -0 + 2. Let h = z - -4. What is the units digit of (-186)\/(-14) + h\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1181 = 9*h + 308. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 2455 + 4043. Does 38 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2990 take away 787589?\nAnswer: -790579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1 - -8) + 4 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y - 10. Suppose x = -0*h - h + 6, 0 = -h - 4*x + 21. Let u = -8 + h. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -14. Let o(j) = 3*j - 1 + j - 3*j + 43*j**2. Calculate the remainder when o(1) is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 31 in increasing order.\nAnswer: -5, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (0 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67685 is divided by 33828?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (78\/(-4) + 207 + -197 - -13)*24\/10. Solve -158\/5*d + 48\/5 + j*d**2 = 0.\nAnswer: 1\/3, 24\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -5, 2, -3, 2296 in ascending order.\nAnswer: -5, -3, 2\/23, 2, 2296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqv when three letters picked without replacement from uubvqqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 224\/40 + (-33)\/5. Let p(i) = i**3 + 8*i**2 + 6*i + 10. Let n be p(v). Solve -4*b + 28 = 4*x, -b + n + 5 = 4*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12685440 and 3840?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {g: 8, q: 1, o: 3, m: 5, z: 2}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 227 (b) 1 (c) -0.01 (d) -0.2 (e) -0.4 (f) 0.5 (g) 1.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 - 3*r + 2. Let v be s(-4). Let o be 5 + (v - -1) + (-39)\/15. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400844324 to the power of 1\/2, to the nearest integer?\nAnswer: 20021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -520? (a) 2 (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000003985 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.62 - 0.38. Let z = 255.92 - 261. Let x = 0.08 + z. Put x, f, 3 in ascending order.\nAnswer: x, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 4*v**2 + 6*v**2 + v**2 + 0*v**2 + 7*v + 13. Let s(z) = -z**2 - 3*z - 4. Give 2*b(t) + 7*s(t).\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6270*h**4*p - 10763*p wrt h.\nAnswer: 25080*h**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 445, 2757, 9029, 21241, 41373?\n\"Answer: 330*o**3 + 2*o + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opas when four letters picked without replacement from {p: 1, a: 1, s: 1, b: 1, o: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -32 (b) 1\/2 (c) 10 (d) -18 (e) 371 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - (-26 + 48)) + -2 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 28 = 7*z - 5*s, -5*s = -5*z + 30. Let m(h) = 24*h**2 - 8*h**2 + 12*h**2 + 11*h**z. Let y(r) = 3*r**2. Give m(y(i)).\nAnswer: 351*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9391 + 225527\/24. Find the common denominator of 4\/33 and o.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29627971 and -5.\nAnswer: 148139855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590652.3 litres to millilitres.\nAnswer: 590652300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -487, -649, -1097, -1969, -3403?\n\"Answer: -23*c**3 - 5*c**2 + 14*c - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2\/7 + 12*s\/7 + 2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (5 + sqrt(72)))**2*5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0)\/(3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/44882875 or 1?\nAnswer: -6\/44882875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/30360 and -101\/616.\nAnswer: 212520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 24\/7 (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let k(w) = -71*w**2 - 31*w - 6294. What is k(b(t))?\nAnswer: -71*t**4 + 31*t**2 - 6294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {m: 1, c: 1, f: 2, d: 2, s: 1, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171b98 (base 12) in base 6?\nAnswer: -200303512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1016 - 661. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1041843 divided by 11.\nAnswer: -94713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**4 + 0*c + 0*c**2 - 1 + 3\/7*c**7 - c**3 + 0*c**6 + 0*c**5. What is the third derivative of t(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:20 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + 225\/(-4725) + (-2048)\/(-2632).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33 smaller than 6499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 53 = 2*d - 15*o, -5*o - 54 = -d. Suppose -8*q - d + 45 = 0. Solve b = q*z - 3*b - 22, 10 = -2*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118\/3 - -39. Let v(a) = -17*a**2 + 11 - 15*a - 49*a**3 - 60*a**3 + 167*a**3 - 59*a**3. Let g be v(-16). What is the nearest to 1 in 5, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6420 and -22\/2461.\nAnswer: 147660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803914?\nAnswer: 2, 7, 269, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Suppose i - 2*o = 84, -12*i = -8*i + 2*o - 346. Let x(m) = 12178 - 12178 + i*m. Calculate y(x(d)).\nAnswer: 86*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -4. Let g be (-33)\/d - (-3)\/6. Let t = g - -27. What is the remainder when 32 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286404, -286402, -286400, -286398?\nAnswer: -286396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*g - 129*c + 127*c, -4 = 5*g + 3*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 0.98?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 8:07 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1417989*l*s**3 + 227086126*l + 29*s**3 wrt s.\nAnswer: -4253967*l*s**2 + 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = 2. Let g(l) = -2*l**3 - 3*l**2 - 4*l - 12. Let m be g(q). Suppose 3 = r, -4*d - 3*r - m = 23. Round d to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let g be 785\/u - (-5)\/20. Let j = g + 1374\/7. Find the common denominator of -4 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*y + 21 = 0, -8882*b = -8878*b + 5*y - 9 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 + 21*f**2 + f - 13. Let x be i(7). Which is the closest to 2\/5? (a) 2\/17 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 2059\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 11, 7, 1, -7, -17, -29?\n\"Answer: -u**2 + u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*b - g = -24, -5*g = -2*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 234\/57 - (-16)\/(-152). Solve p - 2*r - 14 = 2*r, -4*p = -r + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 4*h - 4*b - 187, 307 = 3*h + 4*b. Let t = 3 - 1. Does 8 divide t*1*h\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:07 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491, -494, -497, -500?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p**5 + 33*p**3 - 33*p**3 + (p**4 + 3*p - 3*p)*(0*p - p + 2*p))*(-6 + 5 + 3).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, 19, 4.\nAnswer: -3, -1, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 2*n**2 - 3*n + 5. Let u(a) = -2*a**3 + 3*a**2 + 4*a - 6. Let k = -12 - -27. Suppose t = 19 - k. Give t*w(g) + 3*u(g).\nAnswer: 2*g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohxx when four letters picked without replacement from aohxoooxxaddovodo?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 3512*o - 1831563. What is d(-461)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**2 + 4*p**2 + 16*p**2)*(2*p**3 - 2*p**3 - 2*p**3).\nAnswer: -26*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 3*t**2 + 8*t. Let d be k(0). Solve -17*p + 25*p = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 122 = 3*l + 125, 0 = -4*f + 4*l + 34 - 30 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 57 = 33 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -295, -287, -317, -421, -635, -995, -1537, -2297?\n\"Answer: -6*l**3 + 17*l**2 - l - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4+-13.6\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33+12090277\nAnswer: 12090244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10007832 to the power of 1\/2, to the nearest integer?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.6 and -336.\nAnswer: 2553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530788342?\nAnswer: 2, 7, 23, 179, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1332 - -701?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*b**2*y**3 - 21*b**2*y + 121*b*y**2 - 442*b*y + 11*y**2 + 55*y wrt y.\nAnswer: -1080*b**2*y + 242*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/2)\/(1 - 2). Find the third derivative of 6*a**x + a**2 + 0*a**2 - 3*a**3 wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 97*m**8\/112 + 127*m**4\/8 - 67*m**2 + 1. What is the second derivative of q(i) wrt i?\nAnswer: 5820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(931) + sqrt(931)*1 + 1 - 1*((sqrt(931)*-2 - sqrt(931)) + sqrt(931)) - (4 + (sqrt(931) - -1*sqrt(931))*4))**2.\nAnswer: 336*sqrt(19) + 29810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13688 divided by 8\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21088 = -1507*y - 49741 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*2 - (-884)\/(-624)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - -4) + (4 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.381768 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 27.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/140*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 5*i - 109)*(1 - 5 - 2)*(5 - 4 - 2)*(61 - 5 - 33).\nAnswer: -690*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14700\/43 or 341?\nAnswer: 14700\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68852 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 9:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 1.1418783164?\nAnswer: -2.1418783164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 2:00 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/15 + p**2. Suppose 0 = 186*o - 192*o - 12. Let j(i) = 32*i. Let y(h) = 7*h. Let n(k) = o*j(k) + 9*y(k). Give n(c(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/7 in 0.2, -0.3, 0.1, -1248\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1969, 3935, 5891, 7831, 9749?\nAnswer: 11639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05364206616 rounded to 5 decimal places?\nAnswer: -0.05364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 6. Factor -2*j**3 + 6*j**2 - 12*j**2 + 1 - l*j - 3.\nAnswer: -2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 216019118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 23642 = 34892. Which is greater: -9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(20\/(-40)*63\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-40)*(-2 + 1). Let v be 12\/(-9) - 6\/(-9). What is the nearest to v in c, 1\/2, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 > 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**9\/56 + k**8\/168 - 7*k**5\/6 + 67*k**2 + k. What is the third derivative of h(r) wrt r?\nAnswer: -1080*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - 2 - (5 + 23 + -42 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 435225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(4 + (sqrt(2057) - 2*(sqrt(2057) + -1)) + -2*sqrt(2057) + 0)**2.\nAnswer: -396*sqrt(17) + 18549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31 times -1.359\nAnswer: -42.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 9*b**2 + 25*b + 68. What is t(-11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-10)\/5))\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*v + 6 = 0, 5 = -6*v + v. Suppose 3*b - 8 = t. Solve 3*u + 7 = -b*s, 4*s = -u - 0*s - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70756 + 104099. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -17\/4, 0.2, -0.5?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -34553?\nAnswer: 34560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10052857?\nAnswer: 173, 58109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 11*f**2 - 3. Let r be z(11). Let g be r - ((-7900)\/655)\/4. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35516161.\nAnswer: 47, 755663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.99522 days in microseconds?\nAnswer: 4492387008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 281 (base 10) to base 12\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + -2 + sqrt(13) - sqrt(104)\/(sqrt(16)\/sqrt(2) + sqrt(8))).\nAnswer: -4 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 25*p - 2. Let s be u(-2). Let t = 1920 - 5914\/3. Let o = s - t. Which is the second smallest value? (a) -1\/4 (b) 1\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, -79, 1 in increasing order.\nAnswer: -79, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -746, -1495, -2248, -3005, -3766, -4531, -5300?\n\"Answer: -2*x**2 - 743*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16884016?\nAnswer: 2, 1055251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.14 in 5.37, 0.2, -2.8, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1317007 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 723\/4 or 181?\nAnswer: 723\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 349787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 5. Let n(q) = -q - 1. Let w(k) = -j(k) + 5*n(k). Let u be w(4). Let o(t) = -t - 2. Let h be o(u). Solve 3 = -h*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 1722128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497 - 907*f**2 - 552 - 988*f**2 + 1049.\nAnswer: -1895*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2305 = -208*y + 5497 + 2795 + 3997 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/((2*sqrt(24))\/sqrt(8)))\/(sqrt(72)\/(sqrt(99)\/(sqrt(11) - sqrt(275)))))**2.\nAnswer: 7\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 1. What are the prime factors of (-1)\/j - 38\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64 + 1\/3*x**2 - 38\/3*x.\nAnswer: (x - 32)*(x - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by 82.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n. Let o(c) = 4*c + 14. Let r(k) = -2*k + 1. Let d(t) = o(t) + r(t). What is d(l(v))?\nAnswer: 6*v + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**2*r*v + o**2*r + 2167*o**2*v**2 + 38*o**2*v + r*v**2 - 5*r*v wrt v.\nAnswer: 4334*o**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 144 = -79*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-5)\/20) - (-3 - -102). Let s = 57 + t. Are s and -45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 8?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -17\/25*u**5 + 0 - 8*u - 6\/5*u**3 - 47\/40*u**4 - 4\/175*u**7 - 3*u**2 + 1\/560*u**8 - 21\/100*u**6. Find w such that q(w) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5175 + 48836. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdlvoorsvos. What is prob of picking 1 r, 1 d, and 1 s?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5621 divided by -511\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/25 - 2\/5. Suppose h*m + 16 = m. Let a = -11 - m. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806796 to the power of 1\/2, to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 94*q**2 + q. Let p = 25 + -23. Suppose -p*w + 3*u = 14, 16 = u + 3*u. What is the remainder when t(w) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4719722 divided by 674246.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l = -138*l - 2*p + 6*p - 2*p - 22, -5*l - 5*p - 50 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/30 - a**5\/5 - 4*a**3\/3 + a**2\/2 + 3*a + 2. What is the second derivative of j(n) wrt n?\nAnswer: -12*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 - 28386*l**3 - 70*l**2 + 3923412*l - 3.\nAnswer: 12*l**2 - 170316*l - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -203807 and -23245564.2.\nAnswer: -23449371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z + 6 + 2 - 21*z. Let w be h(-1). Let m be 4*35*(-9 - -10). What is the highest common divisor of w and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3792 - -11ac?\nAnswer: 494e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2201 - 27009800744\nAnswer: -27009798543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/133 in -2\/11, 0.4, -0.2, 6, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 4*r**4 - r**4)*(-10016 - 1433 - 208)*(3 - 3 + 2*r).\nAnswer: -23314*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Is (-44)\/s*(-3)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/6)\/2*5\/(-1110)*37.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7893729*i**3 + 8743794 wrt i?\nAnswer: -23681187*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5206 by -4.\nAnswer: 2603\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.69 - -24.69. Let b = -36.1 - -40. Let u = -22.9 + b. Put d, -0.3, 5, u in decreasing order.\nAnswer: 5, d, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from jjoojodottoojt?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/(1\/1)). Let y be a - -8 - (3 - 0). Suppose y*t = -0*t + 492. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -179, -237, -261, -233, -135, 51, 343, 759?\n\"Answer: 3*j**3 - j**2 - 76*j - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55445*b*j**2 - 2*b + 239935*j**2 wrt b.\nAnswer: 55445*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x = 17*x + b - 14, b = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110002212 (base 3) in base 2?\nAnswer: -10001001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 5. Let b be v(0). Suppose 11 = m + 5*x - 0, 0 = 5*x. Let z = m - 8. Solve -h - z = 2, b*w - 5*h = 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-850)\/3570*(-1274)\/140.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5967?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:08 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 874.052 years?\nAnswer: 10488.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*g = -433*g + 157394170. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -4 (c) -7 (d) 1 (e) -1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.354455 + 0.270128.\nAnswer: 17.624583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25488500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/4*k**5 + 7\/2*k**4 - 7\/2*k**2 + 49\/4*k - 12*k**3 = 0. Calculate k.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - 9. Let f(b) be the first derivative of -2*b**2 + 15*b + 8. What is the units digit of f(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 8. Let q(y) = -3*y - 5. What is q(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x = -278*x + 1384 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3886 - -3885.955. Put -0.4, 20, h, 5 in ascending order.\nAnswer: -0.4, h, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646200139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-2*i**2 + 1 - 1)*(-2*i**2 - 4*i**2 + 2*i**2) in the form t*i**4 + w + f*i + h*i**3 + z*i**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*y - 16, -5*y + y + 12 = 3*w. Let -2 + 6*g**w - 2*g**3 - 6*g + 6*g**3 + g**5 - 4*g**2 + g**5 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -3*r - 0*r + 5*a, -5*r - 92 = -4*a. Let p = r - -24. Let l be 4 + 0\/p - -8. Calculate the greatest common factor of 84 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 745289\/158 - 4717. Which is the third biggest value? (a) v (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*l - 212 + 404 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12750\/(-9)*(-5762 + 2)\/6. Round c to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 3, -1, -14, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0100367692 rounded to 6 decimal places?\nAnswer: 0.010037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-6)\/(-24)*(-5)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 + q**2)*(-q**2 + 0*q**2 + 3*q**2) + 106 - 6*q**4 - 106.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -304 * -0.5\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*b + 121 + 104 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539440?\nAnswer: 2, 5, 7, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2\/2 + f - 4. What is the derivative of g(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let d(g) be the second derivative of 0*g**3 + 0 - 1\/6*g**4 - 53*g + 181*g**2. Determine d(m(z)).\nAnswer: -8*z**2 + 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2\/(-2 - -3). Let q = 18 - u. Let f = q + -9. Solve f = -4*b + 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -9651.\nAnswer: -9651, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**3*g)\/g*g))**36*(g\/g**8)\/((g*g\/(g*g\/(g*g\/(g*(g**(3\/2)\/g)\/g)*g*g)))\/g) assuming g is positive.\nAnswer: g**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26243931 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5170)\/(-5) - (38 - 30).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - i - 10, -5*g - 4 = -5*i + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -3, 311 in decreasing order.\nAnswer: 311, 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10795, 10793, 10789, 10783, 10775?\n\"Answer: -o**2 + o + 10795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(13 + -1)\/(-3). Let q = 0 + v. Let b be (-30)\/(-9) - q\/6. Solve -b*h - h - 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -168. Calculate the highest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/3 + 2*u - 5. Let p be k(0). Suppose 0 = p*y - 41 - 39. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-24)\/v**(5\/7)*v\/v**(-16)*v**(-5\/6)\/v)**(1\/5) assuming v is positive.\nAnswer: v**(-401\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -4121\/64?\nAnswer: -4121\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (804\/18)\/(16\/456)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.14 (c) 230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. What is the second derivative of 108*s**i + 9*s - 94*s**2 + 2*s wrt s?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 15 = -42*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 50, 36, 24, 14, 6, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 + 6*t - 5. Let c be d(4). Suppose -c*z - 35 = -5*n, 2*z - 7 = 2*n + 5*z. Solve -n*k + 5*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 19*v**6\/20 + v**5\/30 - v**3\/6 + 3*v**2. Let u be z(-1). What is u rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -142. Let x = f + 108. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4 = -2*c, 7*c + 2*l - 2 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 40. Let x be h(-11). Suppose 2*m + 72 = -m. Let q = m + 150. What is the greatest common divisor of x and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47630 divided by 22\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41829867 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6977585*l**3 + 36*l**2 - 24*l + 92 wrt l?\nAnswer: 41865510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 = 1344*d - 1392*d. Let m = 11 - 5. Solve -d*s - m = -7*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 23*c - 8. Let x(p) = -p**2 + 12*p - 4. Let v(t) = -6*h(t) + 11*x(t). Let k be v(5). Let y be 20\/32*1\/5. Is k at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2)\/(4\/4). What is the biggest value in 0, o, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 11*d**2 - 15*d - 1. Let i = -14 + 20. Let h be (-28)\/i*(-3)\/2. What is the units digit of s(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 250179366.\nAnswer: -5\/250179366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/60 - 17*c**4\/24 + 5*c**3 - 632*c**2. Calculate k(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 4\/63 (c) 5 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18034 and 85\/6.\nAnswer: 54102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-162)\/(-18) - 13) + 5. Let a(k) = 36*k**3 + 3*k - 3. Let c(l) = -l + 1. What is b*a(z) + 3*c(z)?\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*i - 25 = 2*i, -4*i = w + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 4*v - 7. Let p(c) = -2*c + 1. Let j be p(-3). What is the remainder when x(j) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557049 is divided by 6793?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 133 = 105 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 515 + -2\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 5*h + 156. Suppose 12*r = 19*r. Suppose v - h = z, -3*z + r*z = 4*v - 163. Calculate the remainder when v is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341 * -923\nAnswer: 314743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22134146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:37 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-56)\/600 - (-3 - (-1242)\/30)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.734515 rounded to two decimal places?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1267*b**3*p**3 - 3053*b**3*p - 23537539*p**3 wrt b.\nAnswer: 3801*b**2*p**3 - 9159*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = l - 0*g + 3*g, 85 = -5*l - 5*g. Let z be (-2)\/l + 2279998\/12. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Suppose 14 = -22*s + 15*s. What is the closest to d in s, -0.5, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c - 1\/2*c**4 + 5*c**2 - 3 + 0*c**3 - 2\/5*c**5 + 1\/8*c**6. Factor b(p).\nAnswer: 3*p*(p - 2)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9 - 77.9. Let f = c + 71.3. Let r = 3.4 + f. Is r bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - (271 + -74)) + 97?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*y**3 - 2*y**2 - 11*y**3 - y + 48*y**3 + 64 - 67 as s*y + k*y**2 + b*y**3 + u and give b.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from seessssedsedhdhfef?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35045362 by 94.\nAnswer: -372823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 7*t**2 - 8*t + 5. Let j be i(6). Let c be j\/(-3) - 1\/3. Suppose -c*x = -4*x. Solve -3*z - 5 - 10 = x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*z = 0, -47*n + 52*n + 2*z = -22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2 + 0)*(9 + -29). Let n = p - -71. Suppose 0 = -n*x + 18*x - 1092. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*h - 6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 2370561*k - 2370564.\nAnswer: 3*(k - 1)*(k + 790188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41\/2 or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -17*m**2 - 4\/3*m**3 - 1\/3*m**4 + 0*m + 0 - 1\/60*m**5. Let x be a(-6). Solve 4*r + 3*d = 25, -x*r = -r - 4*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 + 610*p - 93548\/11.\nAnswer: -2*(p - 3341)*(p - 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 6:27 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 6*h**2 - h + 18)*(2*h - 5*h + h).\nAnswer: -12*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1590 - -6361\/4. Factor -w*s**2 - 1\/4*s**3 + 1\/2*s + 0.\nAnswer: -s*(s - 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-3.4703.\nAnswer: -0.69406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.8 + 14.8. Let f = 1190\/9 + -132. Which is the third biggest value? (a) f (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 11*m**2 + 6*m + 7. Let h(k) = k**2 + k + 9. Let t be h(0). Is v(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 47. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 727*w**4\/4 + 181*w**3 - 609. What is the third derivative of y(b) wrt b?\nAnswer: 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57244 = -27*x + 126346 + 7921. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55, 128, 223, 352, 527, 760?\n\"Answer: 2*o**3 - o**2 + 62*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00318121 less than 0.3?\nAnswer: 0.29681879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20.1 in 1\/2, 100\/17, -0.09?\nAnswer: 100\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/6 + 7*a**3\/6 + 5*a. Let f be x(-6). Suppose 3*h - 5*h + f = 0. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 20*v = -881*n + 883*n - 230, -6 = -2*v + 2 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 - 4*b**3 + 7*b**3)*(363 + 12 + 167) to the form s*b + z*b**3 + g + i*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*j - 16*j + 8*j - 14)*(2*j + 0*j - 4*j + (1 - j - 1)*(-2 + 2 - 2) + 1 - 1 + 2*j - 4 + 4 + 4*j) in the form o*j**2 + q + s*j and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 16960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625528?\nAnswer: 2, 61, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 + 5*f + 4. Let i be ((-6)\/3)\/(4\/6). What is the units digit of q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108942406.\nAnswer: 2, 3541, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2841 - 3868. Does k = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 + 3\/7*h**2 + 2\/7*h - 8\/7*h**3 + 3\/7*h**4 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2. Let t(d) = d**2 - 9*d. Let r(m) = 14*f(m) - 2*t(m). Find the second derivative of r(a) wrt a.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375912197?\nAnswer: 375912197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1915968 and -125\/672.\nAnswer: 13411776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10014372 and 342714064.\nAnswer: 3084426576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -62*f - 10. Let i(c) = 21*c**2. Calculate g(i(w)).\nAnswer: -1302*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 24257.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41161 - 29049. Calculate the remainder when j is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5386132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*-1 + 0)*43. Let z be -16 + -20 + 8082\/(-162). Let q = x - z. Sort q, 0.4, 2\/3, 1 in increasing order.\nAnswer: q, 0.4, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = 37*t - 306 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + -1*(-2*sqrt(12) + 1)))**2.\nAnswer: 400*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 22*w**2 - 27*w + 21. Determine y(21).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5030595 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7)*g*g**(-3\/7)*g)\/(g*g*g*g\/g**0*g*g*g*g**2))\/(g\/g**(1\/3)*g**(-2\/13)\/g*(g*g**(-1\/13))\/g**(-2)) assuming g is positive.\nAnswer: g**(-4604\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**5*y - 30774058*m**3*y - 2*m**2*y + m**2 + 29*m*y - 111*y + 2231 wrt m.\nAnswer: -240*m**2*y - 184644348*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 42 = -0*p. Let v = p + -10. Which is the second smallest value? (a) v (b) -0.1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -61. Sort o, 1, 5, -1.\nAnswer: o, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 2:19 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-24))\/(20\/64). Put o, -1\/5, -0.4 in descending order.\nAnswer: -1\/5, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svwuvuu. Give prob of picking 1 s, 2 u, and 1 v.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -50?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 57. Let f be u(13). What is the common denominator of (2 - 0) + ((-216)\/33)\/f and -1\/61?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12647?\nAnswer: 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 8. Suppose m*u = 3*u. What is the nearest to 1 in u, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7382 or 7184?\nAnswer: 7184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45841 is divided by 7637.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214679 divided by 6.\nAnswer: 214679\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 2 - 117*o**3 - 6*o + 4*o + 118*o**3 to the form f + a*o + w*o**2 + b*o**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -3*t. Let j(u) = -6*u - 12. Let b(k) = -k - 1. Let p(q) = t*b(q) - j(q). Find the first derivative of p(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17e3 + -35e?\nAnswer: -1b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61098*w = 61095*w - s + 62, -70 = -3*w + s for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 34*i - 16. Let d be ((-18)\/(-45))\/(2\/(-60)). Let g be y(d). Let c(v) = -v**3 + 7*v**2 + 2*v + 11. Calculate c(g).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 87 = 303. Let z be (-1)\/(n\/(-96)) + 4\/(-18). Which is the nearest to 2\/5? (a) z (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.1 - 2.1. Which is the second biggest value? (a) -0.4 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:35 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1039*j*p**3 - j*w**2 + 3622*j*w + 36*p**2*w**2 - 2*w with respect to p.\nAnswer: -3117*j*p**2 + 72*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose 2*o + 2*o + 20 = q, 2*o = -2*m - 2. What is the second derivative of -z**4 + 0*z - z**m - 7*z + 5*z**4 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(2\/(-12)). Suppose x + 2 = 2*x, -3*z + 5*x = -g. Suppose z*i + 7 = 5*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1543 - 1542.999997064. What is k rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j + 5. Let f be v(-5). Suppose 4*a - 145 = -f. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/362, -15, 4, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - (1 + sqrt(11))*-1) + -3*(sqrt(11) + -1).\nAnswer: -sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 100. What is the biggest value in x, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**22\/(v**11*v) assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 - 175. Let t = -0.1 + 0.1. Let w = 0.5 - t. Which is the nearest to d? (a) -1\/6 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 29*p\/3 + 32.\nAnswer: -(p - 3)*(p + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 287 + -28. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.04 + 32.04. What is the biggest value in 4, -0.2, -86, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 126.612 millennia?\nAnswer: 1266.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 18. Let y = d + -9.99. What is the second smallest value in y, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + (6 - (-6 + 17))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 - h**3\/2 - 33*h**2\/4 + 45*h\/2.\nAnswer: h*(h - 5)*(h - 3)*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19234092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)\/v**(-2\/7)*v**1\/((v**(-13)*v)\/v*v) assuming v is positive.\nAnswer: v**(251\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1316? (a) -9 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -66, -149, -266, -417?\n\"Answer: -17*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7395 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:57 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - n + 1. Give z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 24*h**2 - 21*h + 48. Let r be j(-23). Let n(f) = 137*f + 13. What is the tens digit of n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 34111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/14 + -4\/7. Let m(u) be the second derivative of 0*u**2 + x*u**3 - u + 0. Let o(q) = -2*q**2. Calculate m(o(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/72)\/((14\/(-12))\/7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014403526877 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -986748*g**3 + 113245 wrt g?\nAnswer: -2960244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 11 - 175154*u**3 - 2*u**4 + 175156*u**3 - 60 - u**4 + 2*u**4 as d*u**4 + k*u**3 + z*u + r + v*u**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 230 = 6*t - 234, -6*l - 140 = -5*t for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22676557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f + f - 5*u, 4*f + 2*u = 10. Let m be 164\/9 - 8\/36. Let l = 55\/3 - m. Put f, 0.1, l in descending order.\nAnswer: f, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, s: 6}. Give prob of picking 3 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvii. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 8 - 2. Suppose -2*h + 3 - d = 0. What is the nearest to h in 0.5, 0.3, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*s - 2 + 4 - 16*s**2 - 17*s**2 wrt s?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-242))\/((-789)\/(-2893)))\/(2\/(-4))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.19 + -6.49. Let b = 4 + 0. Which is greater: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 2813.\nAnswer: -83\/2813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 80 = -5*a, 0*a + 2*a - 160 = -4*b. Let j = b + -19. Let d = 12 - 1. What is the remainder when j is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 6*f - f. Let w be -1 + (-22)\/(f\/3). Put -5, w, -1, 4 in descending order.\nAnswer: w, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1639*i + 15. Let w be f(19). Let s = w - -933679\/30. Find the common denominator of -75\/14 and s.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 780.4655 + 17983.\nAnswer: 18763.4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 122568268?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 28716*w**2. Let v(x) = x. What is l(v(k))?\nAnswer: 28716*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 232202110 (base 4) to base 14\nAnswer: 4d672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 12 = 15*d - 3*d - 342, 66 = 2*d + 2*f for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/17 (b) -13 (c) 2\/17 (d) 7 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 160\/24)\/((-105)\/1134)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3481435.\nAnswer: 5, 83, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4 + (138074\/1581)\/(420\/27).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -13. Suppose 7 - l = -a. What is the third biggest value in a, 0.5, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 5, w: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-2) - (390\/42 + -9 - (-182)\/(-26)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g**2 + 5*g)*(130 - 588 - 578)*(-1 - 1 - 2) to the form s*g + b + c*g**2 and give c.\nAnswer: 8288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 - 47870*v**2\/9 - 15956*v\/9.\nAnswer: -2*v*(v + 7978)*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/6)\/(7\/21). Sort u, 4, -4, 5.\nAnswer: u, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/(-1))\/((-3)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/4 (b) -780 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = -5*y + 5, 20 = y - 3*u. Suppose 0 = -4*l + 2*w - 605 - 2169, y*l + w + 3457 = 0. Let r = -445 - l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = -7*v - 91. What is the highest common factor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, 4, 3, -5, 296 in increasing order.\nAnswer: -48, -5, -2, 3, 4, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 189*n + 90. Let h be g(-47). Solve 0 = -2*z + h - 35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -23*w - 610. Calculate p(-39).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 12*n**2 + 12*n - 9. Let y be k(11). Find the first derivative of 31*m - 31*m - 22 - 22*m**y wrt m.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*x + 119*x - 6138 = 2236 + 12536 for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 3*j**2 - 6*j - 4. Let h(p) = -p**3 - p - 1. Let u(o) = -f(o) + 5*h(o). Let z be u(3). Solve -g = -z*k - 3*g - 8, -2*g - 8 = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0682401 decades?\nAnswer: 8.188812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 200 = -11*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**3 - 70*q**2 - 794*q + 6433. Give w(8).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203631977 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248253.\nAnswer: 7, 509, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18063391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 0, -9 = -2*y - 4*r + 21. Suppose y*w - 5*l - 10 = 0, w + 7*l - 2 = 12*l. Solve -o - 3 = 0, 0 = 4*j + 3*o - w*o + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 6 + (11 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*78196\nAnswer: -31278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134929611\/594880 - -1\/54080. Let t = m + 227. Which is the biggest value? (a) 3 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420879 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(77)\/(sqrt(28)\/sqrt(4)) + 2*sqrt(539))**2*-4.\nAnswer: -19800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d - 19. Let q be o(6). Let u = -53 - q. Let c(g) = g**2 + 11*g + 1. Let i be c(-11). What is the third smallest value in 5, 0, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*i - 4*z = -133*i - 8, -2*z + 20 = 5*i. Solve -5*b + 11 = 4*f, -i*b - 1 = -5*f + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 913.63122 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 50*u**2 - 1056*u + 6576. Determine i(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - 9*f**3*v**3 + 2*f**3*v - 2*f**2*v**2 - 2*f*v**3 + 19*v wrt f?\nAnswer: -120*f**3 - 54*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1. Let f be ((-6)\/4)\/((-1)\/2). Suppose 15 = -6*m + f*m, -4*v + 21 = -5*m. Let x(y) = -y**2 - 2*y + 3. Let i(h) = v*x(h) + 3*n(h). Factor i(g).\nAnswer: g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 0.1136?\nAnswer: 0.12496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 3. Let d(m) = 1. Let t(r) = r**3 - 2*r**2. Let p be t(1). Let n(v) = p*f(v) + 6*d(v). Differentiate n(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25558756 and 83204.\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 0*z + 2*z. Let h(l) be the first derivative of -7*l**3\/6 + l - 2. Let f(q) be the first derivative of h(q). Calculate f(g(v)).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1848\/(-196) - -10) + 0 + -1. Let g = 10 + -15. Sort -0.3, d, g, 1\/2.\nAnswer: g, d, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by -235.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*n + 18 = 0, -4*a - 4*a + 0*a + 4*n + 36 = -16*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2384.90723 to the nearest integer.\nAnswer: -2385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1063 - 0.2063. Which is the second smallest value? (a) t (b) -3\/61 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (795\/(-27))\/(-1) + (-28)\/63. Solve k - t = -25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18570572?\nAnswer: 2, 4642643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72394 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*(-12)\/64.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1773 * 224\nAnswer: -39.7152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36963222 divided by -1147.\nAnswer: -32226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 29*l**2 - 30*l - 1. Calculate g(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.02 - 48. What is n rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 16. Suppose -2*p - s = p. Let c be (-1 - 0)\/(p\/21). Solve 4*i + 2*v + 26 = 0, c*v + 19 = -5*i + 5*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470 and 11562.\nAnswer: 57810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Let x(k) = -k. Let i(b) be the second derivative of -b**3\/6 + b. Let t(r) = -5*i(r) + 6*x(r). Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-19)\/t*t*t*t)\/(t*t**(2\/19))*(t**(2\/53)*t*t)**(-43) assuming t is positive.\nAnswer: t**(-106468\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 7. Let n = -50 + 67. Suppose 68 = -5*v - 3*d + 17, 3*v - 5*d = -n. Give o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -281*t + 200. Calculate k(2).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1905, 675, -2661, -9159, -19875, -35865?\nAnswer: -58185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/385 + -116\/1155. Let c = 3\/7 + z. Factor -s**4 - 1\/3*s**5 - s**3 + 0 - c*s**2 + 0*s.\nAnswer: -s**2*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/5904 and -52\/150183.\nAnswer: 2402928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (-4*sqrt(252) - sqrt(252)) + -4.\nAnswer: -24*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224214344 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91032 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.5. Let t = -4\/977 + 1990\/8793. Put m, t, 4, -3 in decreasing order.\nAnswer: 4, m, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o + 4. Let m be k(4). Calculate the greatest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 7*v + 39. Calculate the greatest common factor of 351 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, p: 1}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 2*u - u)*(0 + 1 - 3) + 518 - 2*u + 8*u - 492 as o + f*u and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287 + 315. Which is the biggest value? (a) -0.3 (b) y (c) 4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 7*b + 3. Let d be m(-6). Let z = d - -3. Suppose 4*p - 15 - 13 = z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 26*t**2 + 69*t + 1784. What is j(-26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*f**2*i**2 - 15021*f**2*i - 137*f*i + 314724*i**2 - 3*i wrt i.\nAnswer: -28*f**2 + 629448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1005.84 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11132 (base 4) to base 5\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 2. Let r = s + 46. What is the greatest common factor of r and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 7:34 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -12, -0.2, 5\/106?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -857632.847 to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*p = 343, 0 = 4*q - q - 4*p - 234. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781313 to the power of 1\/2, to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3 + 27. Put 0, 4, x in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -192. Let t = -83 + o. Put -0.3, 5, t, 0.1 in increasing order.\nAnswer: -0.3, 0.1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 48 - 42 - x**3)*(-6 + 0 + 0).\nAnswer: 6*x**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1829)\/(2950\/50))\/1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgdddgcdddgk. Give prob of sequence gkdd.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5929 (base 10) in base 8?\nAnswer: 13451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -22, 2, -2 in descending order.\nAnswer: 5, 2, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 570495420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s. Let d(c) = -54*c + 1. What is d(l(x))?\nAnswer: -648*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5057925 and 311100.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 2. Let x be t(2). Suppose -3*w - x = -o, -o + w + 4 + 2 = 0. Find the second derivative of 4 + 22*g + 7*g**3 - o - 15*g wrt g.\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(125) + ((-2*sqrt(125))**2 - sqrt(125)) + 3 + 2 + 4.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3 - 3804*w**2 + 752190*w - 748388 = 0.\nAnswer: 1, 223, 1678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15499?\nAnswer: 11, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/6)\/(-13)*16\/(-400).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516535855 a multiple of 5290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*o = 46*o - 44*o + 350 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m + 177288 = 645488. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b - 2 + 2*b**3 + 1\/2*b**2. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(896\/(-240)))\/(9\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) - (-10)\/(-5). Let g(x) = 7*x**2 + x - 2. Let o be g(d). What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(66)*2 + sqrt(66)) - (sqrt(66) - -6*1*sqrt(66)))\/(-1*sqrt(600)*-6))**2*5.\nAnswer: 1859\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 91, 255, 579, 1117?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*c + 2)*(116 - 87758*c + 175523*c - 87759*c - 4*c**2).\nAnswer: 8*c**3 - 12*c**2 - 232*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o - 2*o**3 - 7*o - 21*o to the form i + m*o + z*o**2 + c*o**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17570659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 2107720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -70. What is the remainder when 42 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*s = -528*s + 5217 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**2 + 363587*t - 5415568 with respect to t.\nAnswer: -6*t + 363587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2313024, 2313033, 2313020, 2312973, 2312880?\nAnswer: 2312729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -37. Let n = -1.1 + 3.1. What is the fourth smallest value in s, -3, -0.2, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13066705, 13066707, 13066709, 13066711, 13066713?\nAnswer: 13066715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1237 or 2475\/2?\nAnswer: 1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 3*w + 3. Let c be v(4). Suppose -c*d + 3*d = 8. Sort -5, d, 1 in ascending order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2 + 61*t - 3. What is y(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*i + 1728 = 365*i - 693*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - 0 - 2. Let w = -0.002 + -9.198. Let r = w - -9.6. What is the nearest to y in r, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((9 + -9)\/(-1 + 3))\/(-4). Suppose k - 606 = -2*v + 186, z = 4*k + 5*v - 3171. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**8\/168 + s**7\/35 - s**6\/30 - 3*s**2\/2 + 2. Let l(k) be the second derivative of r(k). Factor l(m).\nAnswer: -2*m**3*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 67*z + 3318. Let p(y) = -27*y - 1660. Calculate 2*i(s) + 5*p(s).\nAnswer: -s - 1664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37bda (base 14) to base 3.\nAnswer: 20221122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 52032306.66 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.999976. What is r rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*i - 11, 5 = -3*i + 7*i - 3*k. Which is smaller: 2\/3505 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076717946 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkaz when four letters picked without replacement from {p: 2, i: 2, z: 5, a: 5, v: 5, k: 1}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2493*v**2 - 5409*v wrt v?\nAnswer: 4986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 - 5*k**3 + 13*k**3)*(2*k + 0 + 0).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38737547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 18*w**2 - 3*w - 90.\nAnswer: 3*(w - 2)*(w + 3)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 0.03, 18?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 33*q**2 + 20*q + 4. Let p(h) = 63*h**2 + 42*h + 9. Calculate 9*i(k) - 4*p(k).\nAnswer: 45*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - r = -156, -2*i = -3*r - 50 - 0. Find the common denominator of (-177)\/6*2\/(-4) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 5*o - 6612 = 0. Let m(a) = 0*a**2 - o + 344 + 7*a - a**2 - 2*a. Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 7. Let j be q(-7). Suppose j*k - 2*k = 2*y - 48, -9 = 3*k. Let u = y - 3. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 68. Is x(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*u - 6 = 0. Let g be 48\/(-36)*(-63 + (-1 - u)). What is the greatest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/6895 and 41\/5836?\nAnswer: 40239220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.30288 rounded to 1 decimal place?\nAnswer: 259.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3 + 5. Let x = 74 - 74.4. Sort 2, o, x.\nAnswer: o, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 10 = -b, -6097 + 6102 = 4*b + 7*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 1 + 4 - 2*l**2 in the form c*l**2 + j*l + u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) 5.533 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*h + 227. Suppose 0*z + z - h = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.23, 1, -8.7, 5 in descending order.\nAnswer: 5, 1, 0.23, -2\/11, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-3)\/12)\/((-56)\/(-64))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000892912 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137 and 15618.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*j - 239*j + 18*j.\nAnswer: -839*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 15}. Give prob of sequence aa.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198460211.\nAnswer: 13669, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*r**2 - 48*r**3 + 358*r**3 + 1234*r**3 - 135*r**2 - 1.\nAnswer: 1544*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t - 2. Let w(u) = -446*u**3 - 5*u**2 + 202*u + 10. Let f(d) = -5*n(d) - w(d). Find the second derivative of f(z) wrt z.\nAnswer: 2676*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x - 1. Let k be o(-1). Is k\/(-33) + 1168\/11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*z**2 - 44*z + 403*z**2 - 87*z + 185*z.\nAnswer: 55*z**2 + 54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 64?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 0*t**2 - 5*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2.29 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2289 * -0.5\nAnswer: 1144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755351583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 36, 2*a = -0*s - 3*s + 4*s - 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73\/6, 0.2, 0.1 in increasing order.\nAnswer: -73\/6, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*r + 2395 = 10*r - 612. Solve 0 = -26*s + r*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -20165?\nAnswer: -20204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (1555 - 1638)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o - 7. Suppose -86*q - 66 = -75*q. Suppose -7*f - 4 = -3*f. Let j(t) = t + 1. Determine f*s(k) + q*j(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrescsscememcmeees. Give prob of picking 1 e, 1 c, and 2 r.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 1223294*t + 1223294*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64531, -65277, -66023, -66769?\n\"Answer: -746*p - 63785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1479790, -1480010, -1480230, -1480450, -1480670, -1480890?\n\"Answer: -220*w - 1479570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 - 654*s**2 + 3*s**3 + 654*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2134224 and -13\/2534391.\nAnswer: 40550256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2891 + 5984. What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142, -1053, -4298, -10619, -21042, -36593?\n\"Answer: -171*b**3 + b**2 - b + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*u + 148167, 0*u - 3*u - 246977 = -5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -8 - (-93 - -185 - 102)) + 40 + -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 10*z - 21 - 17 + 58.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 12 + 3. Let x be 9\/6*(-50)\/w. Suppose 3*j - 2*l + 6 + 4 = 0, -j - l = -x. Put j, -0.3, 5 in descending order.\nAnswer: 5, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2 + 3 - 5.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 147, -7, 4, -3, -5, 3 in descending order.\nAnswer: 147, 5, 4, 3, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349.9 + 350. Let n = -9.5 - -7. Let v = -2 - n. Which is the closest to u? (a) -3 (b) -3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(2299) - sqrt(2299)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = 10*n - 15*n + 11 + 66 + 89, 2*n - 36 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 9*r**2 - 14*r. Give w(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2632*l - 1320*l + 3*l**2 - 4*l**2 - 1312*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 7 - 7 = -0*m + 12, -5*x = 92*m - 670 + 94 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 14*a**2 - a + 8. Let r be v(-7). Suppose 0 = 3*c + 2*c. Suppose -2*y - 2*t = -t - 8, c = 4*y - 5*t - 2. Solve r = -0*i + y*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -105423?\nAnswer: -105424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from bggzbfuf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, d: 3, g: 4, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/55 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*m - 13 = 0, 3*m + 9 = w + 3*w. Let k(d) = d**3 + 3*d**2 + d - 2. Determine k(w).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 - 120*a**2 - 2889*a - 14094 = 0. Calculate a.\nAnswer: -9, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5001 by -45.\nAnswer: -1667\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-12)*(-36)\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {w: 3, n: 3, u: 1, d: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/204*80\/35\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 6*u. Let p be f(6). Let h(l) = l**3 - l**2 + l - 1120000. Let i be h(p). What is i rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4113*c**2 - 2072*c**2 - 1179*c**2 - 12838*c**2 as j*c + n*c**2 + g and give n.\nAnswer: -20202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 6 + 1. Let z be (-11)\/(110\/12)*n\/(-3). Factor 3\/5*f**2 + 0 - 1\/5*f**3 - z*f.\nAnswer: -f*(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11226, 44906, 101042, 179634, 280682, 404186, 550146?\n\"Answer: 11228*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(-8)*u*u)\/((u\/u**(-4))\/u*u))\/((u*u\/(u\/u**5)*u)\/u)**(-7\/5) assuming u is positive.\nAnswer: u**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*l - 1 = 0, 2*l + 0 - 1 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 4*d**2 - d + d**4 + 1 - 14434*d**3 + 14422*d**3 in the form i*d**2 + x + o*d + a*d**4 + h*d**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -16 - -2) + (-2 - -24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12032330 (base 4) to base 15.\nAnswer: -7872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*t = -175*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, -9\/8, 0.01, 13, 0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {j: 1, m: 1, o: 3, c: 1, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3)\/(8\/(-48)). Let f = l - -14. Let s = f - 0. Let j(c) = -c + 8. Give j(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ba - 3?\nAnswer: -3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(4\/5))\/(c*c**4))**(4\/19)*(c**4*((c\/c**(-1\/9))\/c)\/c)\/(c**6*c**5) assuming c is positive.\nAnswer: c**(-7609\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 473121 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:58 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 20*r + 3. Let t(l) = 8*l**2 - 83*l + 13. What is -9*c(y) + 2*t(y)?\nAnswer: -2*y**2 + 14*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1560, 3119, 4678, 6237?\n\"Answer: 1559*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**4\/8 + 11*t**3\/6 - 3*t**2. Is r(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.19 (b) -104 (c) 2\/7 (d) -1\/24 (e) -5 (f) 0.11 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728 a factor of 33194304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 32*s + 40. Let c(u) = -40*u - 47. Let q(b) = -5*c(b) - 6*d(b). Let o = -12 - -15. Let p(z) = -o + 3*z - 3 + 4. What is -11*p(f) + 4*q(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 - 12*x + 93*x**4 - 290*x**4 + 98*x**4 + 94*x**4 + 15*x**3 - 3*x = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*z + 42*z + 8, 16 = 2*u - 3*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + -5 - -9)\/(63\/112602).\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519785632 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 4. Suppose -4 = 2*l, -5*i - 2 = -2*i - 5*l. Let m(c) = -14*c**2 - 11. Determine i*m(o) + 11*w(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(528) + sqrt(528) - -4*sqrt(528)*1)\/((-2*sqrt(704) - sqrt(704)) + sqrt(704) + (sqrt(66)*1 - sqrt(66))\/sqrt(6)).\nAnswer: -11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(0 + -1). Let u = 799 - 1133. Let j = u - -334.3. Which is the third biggest value? (a) j (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 + 105*s**2 - 222*s - 43. Determine m(-19).\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 657 - 3287\/5. Which is the closest to 0.2? (a) 0.5 (b) -2 (c) 0.4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 + 362. Let s be 154\/8*(0 + -4). Let b = j + s. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-6*(sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5))).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Let l(y) be the second derivative of y - 7\/6*y**3 + 1\/3*y**4 - 7\/2*y**g + 0 + 1\/20*y**5. Calculate l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 7*c + 304. Let q be g(-9). Let v = 7 - 1. Is q smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6124 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128704 - 0.3?\nAnswer: 128703.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**2 - 11*f - 13. Let t(p) = 8*p**2 - 5*p - 6. Give 6*n(u) - 13*t(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21250*17.96.\nAnswer: -381650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-141)\/((-423)\/(-258)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -294 - -295. Which is the nearest to -2\/5? (a) 2\/9 (b) j (c) 12 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 8*b - 5. Let l be o(7). Suppose -4*s = 2*u - 92 - 86, -s - l*u = -37. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -4*q - 114. Suppose -9*p = 6*p - q. Solve -5*i + 5*z = -0 + 10, 10 = -p*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyaaayyyayaa. Give prob of picking 2 a and 1 y.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 34. Let t be -32*(1 - 2)\/2. What is the lowest common multiple of v and ((-12)\/t)\/(1\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 14*z + 11*z + 2)*(2 - z**2 - 2).\nAnswer: 3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -51696800 divided by 10339360?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78758695 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -108.15. Let n = -6.5 + f. Let p = 1.3 + n. Round p to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 3 = -56 - 1. Sort c, -5, -3, 136, -26 in decreasing order.\nAnswer: 136, c, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(2\/(-6)). Let s(o) = -i + 2*o**2 - 5*o**2 + 4*o**2. What are the prime factors of s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/9, 8, 28, 4, -1.1 in decreasing order.\nAnswer: 28, 8, 7, 4, -2\/9, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**2 + 3*w**2 + 0*w**2 + (-4*w + 4*w + 2*w)*(-2*w + 6*w - 2*w)*(-1 + 1 + 1))*(6 + 5 - 14) as f*w + q + h*w**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4802 times -0.091\nAnswer: -436.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2579 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*h + 147109 + 71186. List the prime factors of h.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386358889 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1. Let q(n) be the first derivative of -4 + 1\/12*n**4 + 4\/3*n**3 + 0*n + n**2. Let h(b) be the second derivative of q(b). Calculate 6*f(j) - h(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 - r. Let g(y) = 10*y**2 + 11*y - 22. Let b(m) = -m**2 - m + 2. Let f(i) = 44*b(i) + 4*g(i). What is l(f(a))?\nAnswer: 96*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 + v + 2. Let k be a(-3). Let g = -33 + k. Find the first derivative of 6 + 7 + 27*j**g + 20 wrt j.\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*j - 12*j + 10*j)*(18 + 23 - 43 + 6*j) in the form r*j**2 + z + y*j and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7307225 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121468884.\nAnswer: 2, 3, 1709, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2040608?\nAnswer: 2, 43, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 12}. What is prob of sequence eeh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7a7865 (base 12) to base 9\nAnswer: -3621045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*z)*(-z + 3*z - 4*z) + 0*z + z**2 + 0*z - z**2 - z + z + 2*z**2 - 2*z**2 + 2*z**2 + z + z**2 - z as k*z + o*z**2 + j and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faaa when four letters picked without replacement from faaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p = 0. Suppose 0*q - 3*q = p. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-2))\/(-4 + 5). Let a = -1 - h. What are the prime factors of (1 - -7)*(-3)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from cccccccccccu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-6)\/t))\/t)\/(t**(4\/9)\/t*t)*(t*t\/t**0*t)**(-1\/28) assuming t is positive.\nAnswer: t**(1625\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 2*f - 200, 0 = -4*h - 4*f + 740. Suppose -4*v + 1206 - h = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n - 52 - 123 = 573 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.29. Let z = -0.7 + y. Suppose 4*a = n + 2, 19 = 4*a + 4*n + 7. Sort a, z, 2\/7 in decreasing order.\nAnswer: a, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28733 + 43894. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000091147682 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23799498017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20819 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + u + 41, 0 = 5*l - 2*u - 43. Let z(f) = f**2 + f - 22. Calculate the remainder when z(6) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.69 - 1009.84. What is r rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 16 = -t, 0*x = 2*t + 4*x - 72. Let o = t - -23. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 1. Let c(x) = -2*x**4 - 8*x**3 + 8*x - 8. Let s(n) = -c(n) - 5*h(n). What is the second derivative of s(r) wrt r?\nAnswer: 24*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*t - z, -z - z - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37b9 (base 16) in base 14?\nAnswer: 52ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*v + 285*v - 516 = 0. What is the highest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiiyooipyioiii. What is prob of sequence yyio?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/120 - w**5\/5 - 11*w**4\/6 - 5*w**3\/3 + 7842*w**2. Determine v(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.138755 rounded to 2 dps?\nAnswer: -3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*b + 39*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.656 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 654150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 268 + -268. Solve h = 2*n - 3*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4608 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (127\/(5080\/(-60)))\/((1 + 2)*1\/13)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1\/14 (b) -0.1 (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 4)**2 + -5.\nAnswer: 48*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 73*a + 11*a to the form y*a + m and give y.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -9)*(0 - -13). Let o = k + -12. Is 2\/55 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 5 (c) 3\/200 (d) -2.9 (e) 2 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9 + 0*t**2 + 9*t + t**2 - 4*t. Let h = -25 + 18. What is the units digit of c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 17 - 1. Suppose 660003 = -b*d + v, -4*d - d = 3*v + 824991. Round d to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 47 - 608. Let k be (j\/(-2) - 1)*80000. What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2, -0.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1359555*z - 14004. Let b(h) = 2332*h + 24. What is 1167*b(m) + 2*o(m)?\nAnswer: 2334*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x + 68. Let o be r(-6). Let k be (-11)\/(88\/(-36))*o\/(-9). Find f such that 0*f**3 + 2\/11*f**4 - 2\/11*f**5 + 0*f + 0 + 0*f**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 1. Let j(x) = -x**3 - 8*x**2 - 8*x - 8. Let z be j(-7). Give i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2121 = -11*f + 5*n - 2300, -f + 2*n = 24 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 2*p**2 - 2*p - 2. Let f be t(-1). Solve 4*z + 4*j - 4 = f, 5*z + j - 12 = 3*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z + 154. Let h(b) = 483*b - 1921. Let v be h(4). Determine i(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 695*h**3 + 700*h**2.\nAnswer: -5*h**2*(h - 140)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -108014 != -108015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in 0, 0.4, 2\/21, 3, 2.0494?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20726 is divided by 388.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 8*k + 10. Let j(r) be the second derivative of r**3\/2 + r**2\/2 + 11*r. Let b be j(2). What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1179 - 291. Let z be (124 - 1)*v\/128. Let p = z + -854. Calculate the common denominator of p and -59\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -56 in ascending order.\nAnswer: -56, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8223437 and 8577.\nAnswer: 74010933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q**2 + 8*q + 6. Calculate o(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 + -157. Find the first derivative of 44*y**k - 553*y**2 + 273*y**2 + 3 - 2*y**4 + 280*y**2 wrt y.\nAnswer: -8*y**3 + 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464706780.\nAnswer: 2, 3, 5, 131, 59123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/25 (b) -7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 5)*(-27)\/(-36). List the prime factors of 25\/10 + g\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + 2. Let l be 32\/8 - (-3)\/3. Suppose -l*b - 2*d = -10 - 11, 4*b + 5*d - 27 = 0. Solve -x = 4*f - h - 2, -2*f - b*h = -11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176068185.\nAnswer: 3, 5, 11737879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.3, 1\/17, 76.3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 9 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38657*z**2 - 13735*z**2 - 52147*z**2 - 10672*z**2 + 2.\nAnswer: -115211*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 12035870634199 and -0.02.\nAnswer: 12035870634198.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7848, 7562, 7276, 6990, 6704, 6418?\nAnswer: 6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3097, 4249, 5399, 6547?\n\"Answer: -q**2 + 1155*q + 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 3 - 2 - 1.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = 5*h. Let f(v) = -2*v**2 + 4*v + 9. Let b be f(3). Factor t**5 + 0*t**2 + 3*t - 5*t**2 + t**b + 3*t**2 + 2 - 5*t**h.\nAnswer: (t - 2)*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 - 4.6999904. Round z to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 5\/(-2))*-2 - 11. Calculate the least common multiple of 22 and (o\/(24\/9))\/(3\/(-12)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1715 = 110*y + 175 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -208dbb (base 14) in base 13?\nAnswer: -2c6a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.62 - 86.08. Let u = 104 + r. Which is the fourth biggest value? (a) -1 (b) u (c) -4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 7 + 4*v**2 - 3*v**2 + 5 - 5. Let l(s) = -2*s**2 - 4*s - 15. What is 13*f(g) + 6*l(g)?\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 z, and 1 n when four letters picked without replacement from {p: 2, x: 1, n: 1, z: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 2, y: 7, k: 4}. Give prob of picking 1 x, 1 j, and 2 k.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose -z - v*b = -4*z - 87, b + 19 = -z. Find the common denominator of -13\/4 and (-394)\/z + 3\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)\/(r*r\/(r**(-1\/12)\/r))*(r**(-2\/3))**29)**(-30) assuming r is positive.\nAnswer: r**(1381\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7584745 is divided by 1264121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -3)*(-776)\/(-4) - 2. Let p = -117 - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279820518*z**2 - 604406304*z?\nAnswer: -559641036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**9\/30240 - f**8\/3360 - f**7\/1008 - f**6\/720 - f**4 + 2*f. Let d(g) be the third derivative of i(g). Factor d(k).\nAnswer: -k*(k + 1)**2*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/20)\/((-6)\/20). Let u(z) = 7*z**2 + 1. Let d be u(-1). Let x = 13 - d. Solve w = x*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/42)\/(9\/105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - ((-1*sqrt(637) - sqrt(13)) + sqrt(13)))**2 - sqrt(39)\/sqrt(3)*2) + (sqrt(1300)*-3)**2 + -2.\nAnswer: -2*sqrt(13) + 12530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 1\/12*u**4 + 16*u**2 + 1\/30*u**5 + 1\/6*u**3 + 0 + 0*u - 1\/120*u**6. Give d(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24726*p**2 - 24676*p**2 + 49368*p**2.\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -222303?\nAnswer: -222244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 27, -1, 1\/6.\nAnswer: -1, 1\/6, 3, 19, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22363255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 340\/17*1\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x. Suppose 5*f = 4*q + 184, -q = -f - 2*q + 35. Suppose -93 = -3*w + 2*z + z, -3*w + 4*z + 88 = 0. Let d(p) = -f + p**2 + w. What is d(l(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 414, 12\/5, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 11*s + 71, -140*s + 139*s = 5*w + 45 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 140, -0.5, -1358\/5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - 0.2. Let p = -381.1 - -381. What is the nearest to 0 in -0.5, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + z + 89 = 0, -4*z - 16 - 4 = 0. Suppose c = 4*n + j - 112, -5*n = -2*c - 110. What is the highest common factor of 36 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from {d: 15, z: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -0.4, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 325284435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -526, -541, -574, -631, -718, -841, -1006?\n\"Answer: -o**3 - 3*o**2 + o - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + -35320?\nAnswer: -40104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let z(q) = 3*q**2 + 1. Let r = 4 + -8. Give r*x(w) + z(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/4 - 8*q**3\/3 - q**2 + 10*q + 1. Let l be s(8). What is the tens digit of l\/(20\/7 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494145286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 - 8*x. Let i(n) = 2*n. Calculate i(c(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 347168 and 127904?\nAnswer: 2430176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = h - 9. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-1885)*2496\/(-384)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)\/l*l\/(((l\/l**5)\/l)\/l))\/(l**(-3)\/l**(-3)) assuming l is positive.\nAnswer: l**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46630620?\nAnswer: 2, 3, 5, 86353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 17*o**2 - 24*o + 56. What is the hundreds digit of k(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 7. Let s(r) = r**2 + 9*r - 5. Let u be s(-9). Let c be t(u). Solve c*k + 7 = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125838 + 437285. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 + 5. Let k(v) = v**2 + 1. Let i(b) = -7*b - 41. Suppose 4*n = 3*r - 18, 0 = 3*n - 8*n + 4*r - 22. Let m be i(n). Calculate m*g(o) - 4*k(o).\nAnswer: 4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**2 - 2*i - 40. Let d(t) = 2*t. Give w(d(r)).\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4557*r**2 - 4623*r**2 - 119*r**5 + r**4 + 8667*r**2 wrt r.\nAnswer: -7140*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -246 and -240.07.\nAnswer: 59057.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9339120 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024026 to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/4))**(-16) assuming g is positive.\nAnswer: g**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-400)\/35)\/20)\/((-6)\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g - 112. Let y be z(-12). What is the greatest common divisor of 84 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221011 (base 3) in base 7?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2215*s + 2117*s + 4116 = 0 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -132*x - 43*x - 336 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllggllglllglllggggg. Give prob of sequence ggll.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1565 and 3.\nAnswer: 4695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 - -110.054\nAnswer: 110.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 27\/(-8) + (6 - (-135)\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107805 is divided by 608?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2336 and 511?\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 6*p**4 + 6016*p**3 - 20168*p**2 - 48160*p + 128768 = 0.\nAnswer: -1006, -8\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 289005, 578001, 866997, 1155993, 1444989?\n\"Answer: 288996*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124201 + 1343?\nAnswer: 1131044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207714735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 27 = -5*x, 3*u + 6691 = 6*x + 6568 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 13*p**2 - 4*p - 9. Let q(u) = u**3 + 6*u**2 + 2*u + 4. Suppose -h = 4*h + 4*a, 0 = h + 2*a + 6. Calculate h*b(g) + 9*q(g).\nAnswer: g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-4))\/(275\/220)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1841535 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Suppose 17*i - 112768 + 112853 = 0. Sort 42, -3, h, i in descending order.\nAnswer: 42, h, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -fb (base 16) to base 8\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:52 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55938004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 289 = -5*b, -3*b + 3*r + 159 = -0*b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -366.\nAnswer: -83\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*y**2 - 25*y**2 + 48*y**2)*(-2 + 2*y**2 + 2).\nAnswer: 110*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65010652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6. Suppose -4*p = d + 3. What are the prime factors of (0 - p)*(6 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 1. What is k(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12*q**5 + 16*q**4 + 20*q**3 + 8*q - 8. Let z(f) = -f**5 + f**2 - f + 1. Let y(l) = -w(l) - 8*z(l). Determine t so that y(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6258864 to the nearest integer?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 12*k - 52. Sort -1, 8, k, 1 in ascending order.\nAnswer: k, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*v + 0*v = 29, -4*q - 5*v - 19 = 0. Let j be 2\/(-3) - 46\/(-6). Let a = j + q. Solve 3*p + 4 = 3*l + a, 5*p = -2*l + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 11*o**2 + 3*o. Let j(m) = 17*m**2 - 31*m**2 - m + 18*m**2 - m**3. Suppose -3*q + 3*n - 9 - 3 = 0, n = 0. Determine q*z(w) - 11*j(w).\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211370851 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-15))\/((-2)\/(-708)). Let t be (490\/(-140))\/(2\/(-28) - 0). Let a = j - t. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17692*c**2 - 21994 + 21994 + 1 + c**2 - 1 + (0 + 0 - 2*c**2)*(1 + 5 - 4) + 5*c**2 + c**2 - 4*c**2 to the form k + m*c + o*c**2 and give o.\nAnswer: 17691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (25 + (52 - 45))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4, 454938, -22 in descending order.\nAnswer: 454938, 4, 3\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 615, 613, 611, 609, 607, 605?\n\"Answer: -2*r + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 1. Let q be s(-1). Let g be ((-51)\/34)\/(6\/20). Let n be (-13)\/(-4) + -4 - (-6)\/8. Sort g, n, q.\nAnswer: g, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**2 - 15*b. Let c(d) = -d**2 - 2*d. Let y(g) = 15*c(g) - 2*m(g). Let t(w) = -w - 2. Let i(k) = 1. Let r(x) = -2*i(x) - t(x). Calculate r(y(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*7544\nAnswer: -3772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a - 11. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in 0.3, 0.06, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*v**4 + 3282*v + 72*v**4 + 68*v**4 - 149*v**4 - 10*v**2 wrt v?\nAnswer: 588*v**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 26. Suppose m = 2*n - 6*n + 16. Suppose -3*h + 7*h = -3*y - 17, -n*h = 4*y + 20. Which is the fourth biggest value? (a) 0.3 (b) h (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 2*q + 4. Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + x**2 + 5*x**2 - 5*x - 2*x**2 to g + j*x + i*x**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 51\/2 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 0.02.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.1, 1\/3, -1, -10014\/11 in descending order.\nAnswer: 1\/3, -0.1, -1\/4, -1, -10014\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-12)*95238\/20202.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 140 = 41*h. Let l(d) = d**2 + 8*d - 5. What is l(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 21*l**2 + 13*l - 31. Give c(-24).\nAnswer: 1385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*n = 3, 15*r - n = 17*r - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 2*h - 6. Let t be g(-2). Let y be (4\/(-2))\/4 - 441\/t. Suppose 0 = -11*a + 14*a + 72. Is a at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 293 (c) 2 (d) -616\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 975 (base 11) to base 9\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 0 - 0) + -11 - ((48 - 1) + 4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1000?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -562666, 1 in decreasing order.\nAnswer: 1, -12, -562666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -98*g**2 + 124*g**2 - 33*g**2 - 80*g**2 - 51*g**2. Let w(t) = 3*t**2. Determine s(w(l)).\nAnswer: -1242*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 2*u - 5*u + 1 - u**3 + 5*u**2 - u**2. Suppose 2 = 4*z + 14. Let m(o) = o + 6. Let c be m(z). Determine r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 46 - 44. Let p = 48 + y. Calculate the highest common factor of 57 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y*y*y**(-23))\/y)*y**(-45)*y**18*y*y\/(y**34\/y*y) assuming y is positive.\nAnswer: y**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 + 1. Let m be z(3). Solve 14*u**4 + 0*u**3 + 4*u**m + 6*u**5 - 2 - 7*u - 12*u**2 - 3*u = 0 for u.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 10. Let d = -3 - x. Suppose -d*b + 1 = -6*b. Solve -5*z + b = 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g**2 + 7*g + 188. Let c be p(-59). What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111008?\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - (13 - 13). Solve u = 3*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 6*w + 9. Let z = -7 - w. Suppose -m = 2*m. Solve 5*t - 17 = 3*s, 6 = -2*s + z*t - m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 1, u: 13, y: 3}. What is prob of sequence yau?\nAnswer: 13\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/85 and -97\/5740?\nAnswer: 97580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16420.26 months?\nAnswer: 136.8355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 8*d**2 + 24*d - 6. Let h be p(4). Calculate the highest common divisor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - m**2 + 6*m**3 + 1 + m - 1. Let k be w(1). Let b be 3 - (k + (-5 - -3)). Solve -c + 7 + 15 = b*p, p - 9 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -2, -28, -92, -206, -382, -632?\n\"Answer: -2*h**3 - h**2 + 17*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose -44 = -8*z + y*z - 4*b, 4*b = z - 1. Solve -4*k + z = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*s**5 + 59306*s**4 - s**3 + 359544784*s**2 wrt s?\nAnswer: 1560*s**2 + 1423344*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -67 (c) -40\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 f when four letters picked without replacement from {c: 2, b: 4, w: 4, a: 2, f: 4, n: 4}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxx when three letters picked without replacement from ggggxgxggxggxxxgxgx.\nAnswer: 308\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 4*z**3 + 2*z**3)*(0 - 2*z + 0) - 4*z**4 + 0*z**4 - 3*z**4.\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + m)*(-2*m + 0 + 0) - m**2 - 3*m + 3*m + (m + 0*m - 2*m)*(-2*m + 4*m + 0*m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3 - (-9)\/4). Let z = 13 - i. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 150263 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 269*b - 15114819 + 4245874. What are the prime factors of b?\nAnswer: 5, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2591 + 94*w**2 + 280*w**4 - 138*w**4 - 95*w**2 - 19*w - 138*w**4 wrt w.\nAnswer: 16*w**3 - 2*w - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 36. Is 20 a factor of (20\/(-160) - 2697\/(-8)) + w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -7, 3 in decreasing order.\nAnswer: 6, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 22. Let i = 20 + -18. Solve i*n + 6 = -k, 3*k - c = k + n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:45 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16870*v + 189 - 45 + 8437*v + 8434*v to the form y + u*v and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.33 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -22. Let n = -5270 - -5249. What is the closest to n in 0.3, -3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8943*k**3 - 12*k**2 + 8990*k**3 - 16*k**2.\nAnswer: 47*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + (-798)\/95)*(-18 - 2). What is the second biggest value in 50, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6331607 or -0.1?\nAnswer: -6331607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 772248*-2\nAnswer: -1544496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84105 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, a: 1, v: 1, q: 4}. What is prob of sequence aq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.1 - -7.248. Round l to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4382, 4351, 4322, 4295, 4270?\n\"Answer: q**2 - 34*q + 4415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -75774*z + 151553. Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290516.8kg to nanograms.\nAnswer: 290516800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 3 = 11*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 3. Solve 3*d + 11 = f, 4*d + k = -3*f + 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 3*u - 92, 2*n = -u + 36. Find the common denominator of ((-39)\/n)\/(-10 - (-348)\/30) and 79\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*q - 8 - 41, -5*u - 60 = -4*q. Put 7, 11, u, 3 in descending order.\nAnswer: 11, 7, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 - 2*w - 1. Let i be q(2). Suppose 10 = 2*v - 64. What is the remainder when v is divided by (-4 - -1) + i + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 93*o - 8772 = 370*o + 37*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12.5 (b) 2\/3 (c) 0.8 (d) -2 (e) 2\/9 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, 2\/7, -12\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/45 and 44\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 23. Let i(w) = 6*w + 3. What is g(i(h))?\nAnswer: 6*h + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 2. Let g be o(-2). Suppose 8 + 4 = g*y. Suppose y*j - 5*x + 9531 = -989, 5*x + 13980 = -4*j. Round j to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122352.\nAnswer: 2, 7, 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 3 + 4 - 31*n**2 + 36*n**2 - 9 to p + u*n + b*n**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -3 - 1 - (-3 - -4). What is the nearest to -2\/7 in i, 4\/7, 1\/31, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61664 divided by 47?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.54 + -0.46. Let c be -1 + (-40)\/(-84)*3. What is the smallest value in a, c, -1\/3, -0.14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730\/260 + 6\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80363, -80369, -80375, -80381, -80387, -80393?\nAnswer: -80399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.1 - 824.58. Let o = f + 842. Let g = o - -42. Round g to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7) - ((-5359)\/(-161) + -30)) + -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -45 + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/7, -5, -3, 45 in ascending order.\nAnswer: -5, -3, 2\/7, 14, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 + 103.0000106. What is k rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699415271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*t - 524*t - 4*t**2 + 173*t + 178*t.\nAnswer: -4*t**2 + 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 145582, 582101, 1309632, 2328175, 3637730, 5238297, 7129876?\n\"Answer: 145506*z**2 + z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 92.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621171684?\nAnswer: 2, 3, 7, 461, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 16056, -2, -1 in descending order.\nAnswer: 16056, 15, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3330)\/(-205350))\/((-9)\/(-15)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 12 + -16 + 19190. What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 12290 = -a + 12296, 0 = -3*a - 3*t + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 329930\/12200*(-24)\/(-222) + -4. Let q = -4\/20071 + 1304859\/1224331. Let w = q + m. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*w - 92, -4*b = -2*w + 4*w + 154. Let y be 3 - 0 - b\/(-15). Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23*r = -18*r - 19, 0 = -2*l - 3*r + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1041262489 divided by 5\nAnswer: -1041262489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36018440 by -7203688.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + y + 1. Let d be k(-1). Suppose 5*b + d = 4*u, -5*u + 1 = -4*b - 6. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 + 8*d + 10. Suppose -3*p = 26 - 5. Let m be g(p). Let f(o) = -m*o - o + o. Let n(c) = c**2. Give f(n(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2818 (b) 0.6 (c) -2\/7 (d) -0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 32*x**2 + 73*x + 33. Let g be 35*(1 + (-4)\/28). What is the units digit of d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/(q*q**(-3\/5)))**(-1\/33) assuming q is positive.\nAnswer: q**(2\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-9*r + 16 - 16)*(0*r - 2*r + 0*r) + 5*r**2 + 0*r**2 - 3*r**2)*(0 - 2 - 1 + (-2 - 2 + 0)*(-1 + 0 - 1)) in the form p + z*r + j*r**2 and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 77 - 59 + f**2 + 283 - 73.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 763*v - 2246*v + 14 + 13)*(2 - 3 - 1).\nAnswer: 2966*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2485136394 to the nearest integer?\nAnswer: 49851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(16*(-14)\/224) - (-65 - (-3 - -1))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10456, 20645, 30660, 40495, 50144?\nAnswer: 59601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -20*p - 38. Let u(v) = 7*v + 13. Calculate 3*b(q) + 8*u(q).\nAnswer: -4*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28411 + 15720. Suppose r - 2*s - 2*s + 5895 = 0, 5*s = 4*r + 23569. Let u = k - r. What is u rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 378*v - 11907.\nAnswer: -3*(v + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*z - 288*z + 140*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 31. Suppose 10*t = a*t + 12. Suppose 2*u = -3*z + 279, t*z = 5*u - 220 + 615. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let s = 0.1 - -0.4. Suppose 12*i + 7 = -17. Sort s, i, c.\nAnswer: i, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 62. Let g be q(-15). Suppose -2*m = g*y - 4, -3*m + 4 = 3*y + 2*m. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, -4, -6.2, 1739?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003972961545 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -94, -343, -826, -1621?\nAnswer: -2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {x: 4, c: 2, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 350046 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 18*r**2 + 22*r + 15. Let u be j(-19). What is the remainder when 80 is divided by 2\/(123\/u + 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39923 and 10?\nAnswer: 399230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 508208578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -n - n. Let h = n + 105. Let w(i) = i**2 + 10*i - 9. Let r be w(6). What is the greatest common divisor of r and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1256 - 150165?\nAnswer: -151454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4400 - -4402. Is 71\/24 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.19 and 6.3.\nAnswer: 51.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21031224 - -4?\nAnswer: -21031220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(304) - sqrt(19) - sqrt(38)\/sqrt(2)*5)*-5)**2.\nAnswer: -2700*sqrt(19) + 19125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -11*l + 20. Let b be 5\/l + 10\/(-4). Let j be ((-36)\/(-16) + b)*8. Solve -4*o - 2*a = -5*a + 8, -j*o - a - 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 3. Let t be d(-3). Let w(x) = 0*x + x + x**t - 1 + 2*x**2 + 3. Suppose -6*i - 30 = 9*i. Give w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10202311 - 123?\nAnswer: 10202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 9*r**2 + 7*r + 6. What is the units digit of o(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 63 = -2*l + 4*k, l = -3*k + 121. Find the common denominator of 348\/42 + -8 - (-577)\/l and 29\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13429 = -3*m, -4*m + 0*m + 13427 = 5*i. Suppose -i = -4*q - 4*b - b, b = 3*q - 2020. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 66*m + 83 - 69*m - m. What is the units digit of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83614.84 milligrams in nanograms?\nAnswer: 83614840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310336612?\nAnswer: 2, 37, 223, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-8))\/((-2)\/(-8)). Suppose 0 = -u*c - 2*j, 2*c - 2*j = 3*j. Solve 0 = b - c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(363) + -4))**2 - ((sqrt(3) - (sqrt(24) + 4*sqrt(24))\/sqrt(8)) + 4).\nAnswer: -3164*sqrt(3) + 13640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/19881 and 52\/17613.\nAnswer: 38907117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2478714 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*z + 1, 2 - 1 = 3*z - 2*s. Let f be (-3 + z)*5\/(-2). Suppose y = -3*j - 0*y + 57, f*y = 2*j - 55. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1181 and -0.07.\nAnswer: 1180.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.158, -3, 0.5, -14?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**3 + 5 - 10 + 5 + 7833*g - 7833*g.\nAnswer: 58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5735, 45720, 154225, 365510, 713835, 1233460, 1958645?\nAnswer: 2923650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10738\/285 - -1\/95. Let x = -37 - l. Sort -2\/17, x, 0.4.\nAnswer: -2\/17, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 91. Suppose 9 = b + 20. Let s = i + b. What is the highest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 42*y + 427. Let j be l(-25). Factor 1 + 5\/2*r + 1\/2*r**3 + 2*r**j.\nAnswer: (r + 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1326 and 8.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*c - 45*c - 2030. Calculate the remainder when 14 is divided by (7\/(-4))\/(c\/560).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u, 3*u - 15 = 14*y - 10*y. Let o(d) = -d + 5. Let h be o(0). Let w = h + -2. Solve y*i = i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13221, -13292, -13361, -13428, -13493, -13556, -13617?\n\"Answer: w**2 - 74*w - 13148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 1, 24, 0, 2.\nAnswer: -59, 0, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3328 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-160\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + 5. Suppose -j - 348 = p. Let o = j - -553. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 - 4*t + 4*t)*(-1 + 4 - 1) + 3*t**2 + 0 - 6 + 3*t + 9.\nAnswer: -7*t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (4 + -5 - 6)) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*h = -83*h + 875380100. Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 - 29*n + 173 + 0*n - 172 + 0*n**2 - 5*n to the form j + q*n + w*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34523712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12733 times 0.4?\nAnswer: 5093.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 7, 1, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 532791201*m*s - 632259519*s wrt m?\nAnswer: 532791201*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by 124\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/17 + 62*g**2\/17 - 560*g\/17 + 1176\/17 = 0.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44142104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-1.22\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from naaaannaianaadnnani?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532*2 + -10*17\/170?\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51754751 and 1346?\nAnswer: 51753405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-521177*k**2 + 778*k + 521177*k**2 + 2*k**3)*(2*k + 5 - 5) to the form c*k**2 + u*k**4 + w + m*k**3 + q*k and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -4*l + 37348, 4*k = -58*l + 62*l - 37420. What are the prime factors of l?\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17096402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3522516 + 4?\nAnswer: -3522512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -155, 1, 2, -60, -3 in increasing order.\nAnswer: -155, -60, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0\/2)*2. Suppose 210 = m*h - 448. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*q + q. Suppose -1 = -l + q. Calculate the common denominator of l and 6\/(48\/(-54) + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33\/((-330)\/100))\/(4\/(-454))?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Suppose d = g - 5 + 10, -5*g = -4*d + 21. Let n be -1 - (-2 - (-1)\/1). Solve y*v + 0*v + d = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 589?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13979611 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 4*g = -21*g + 28. Suppose 22 = 12*x - 14. Solve -2*j - x*u - 1 = g, -4*u = j - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138067*i**3*s**2 + i**3*s - 16*i**3 + 27*i**2*s wrt s.\nAnswer: -276134*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(((-13)\/(-1))\/(403\/(-62))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((230\/210)\/(-23))\/((-9)\/(-270)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -71. Solve 4*m = q + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 10*w + 6. Suppose 8 = -u + 2*u. Let g be m(u). Let s = -7 - g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffffffffffnffffff?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.101, 5, 1\/1776?\nAnswer: 1\/1776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 2*p**4 + 0*p**4 + (2*p**4 - 4*p**4 + 4*p**4)*(-1 - 1 + 3) + 64*p**4 - 34*p**2 - 18*p**4 - 15*p**4.\nAnswer: 31*p**4 - 34*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 227*d**2 - 2*d - 7. Let c(h) = 227*h**2 - 2*h - 6. Let u(m) = 5*c(m) - 4*z(m). Let w(y) = -y**2 + 4*y + 6. Let g be w(5). Is u(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 6*p - 2. Let h be j(3). Let k = -44 - h. Calculate the remainder when 10 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -156?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 20\/9, 1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r - 3. Let c(b) = b**3 - 41*b**2 - 32*b - 402. Calculate the remainder when u(6) is divided by c(42).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -6. Calculate the remainder when 31 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-40)\/15)\/4)\/(2\/(-34791)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/4*(-28)\/(-21) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/24 + -2)\/(3198\/144 + -22)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from nuunuunuunuuuuunuu?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 - 3*h - 49. Let d be (-1586)\/(-130) + 2\/(-10). Is v(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*g + 29*g + 3*u + 4, 3*g = -3*u - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9648 + 0.0352. Put -2\/11, 3, 0.3, 143, f in descending order.\nAnswer: 143, 3, f, 0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038007 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219*h**3 - 5*h**2 - 49.\nAnswer: 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 4130*r - 8280.\nAnswer: 5*(r - 828)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 + -217. Suppose w*j - 13*j = -56. Calculate the least common multiple of 49 and j.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 2:40 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.260618 years?\nAnswer: 0.06260618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 900\/(-125)*420\/112.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 775 + -765. Let f(w) = -w**2 + 8*w + 20. What is f(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 276 - 6*t**2 + 4*t**2 - 276.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (12 + -4) - 2 - 3 - 31?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 - 13*d - 8. Let n(k) = 9*k**2 - 26*k - 17. Let p(j) = 7*l(j) - 3*n(j). What is the tens digit of p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + -162)*(1 + -1 + -2). Solve b = 2*w + 302 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x - 3*x - 4*x - 2 - 4*x. Let t be n(1). Factor -6*h**3 + 2*h**5 + 7*h - t*h + 2*h**4 - 3*h - 2*h**2 + 3*h.\nAnswer: 2*h*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 12:28 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 56*p**2. Let d(x) = 24349*x**2 - 1. Give d(c(k)).\nAnswer: 76358464*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1032*x - 3 - 3 + 536*x + 1 to the form y*x + p and give y.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 31 - (-83 + 49) - (-25 - -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*u - 347*u + 11*u**2 - 160*u**2.\nAnswer: -149*u**2 + 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18030 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 6*v + 3*v)*(-2*v - v + 5*v)*(2 - 2 + 2) + 3 + 5*v**2 - 3 + (0*v - 2*v - 4*v)*(2 - 2 - v) - 3*v - 2*v**2 + 3*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -0.3, 0.1, -126, -0.5, 12?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.655, 4, 0.06, -16\/23 in increasing order.\nAnswer: -1.655, -16\/23, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(72)\/sqrt(32) - 5*1*sqrt(36))\/(((-2*sqrt(576) - sqrt(576))\/sqrt(12))\/sqrt(4)*6))**2.\nAnswer: 25\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17283.808 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 1408920*a**2 - 102861818*a.\nAnswer: 2*a*(a - 73)*(a + 704533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 r when three letters picked without replacement from yuxrv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244706168 or 244706166?\nAnswer: 244706166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2418 + 4453 - 135*i**2 - 6972*i**4 + 6973*i**4 wrt i.\nAnswer: 4*i**3 - 270*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287 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 y(r) = 203*r + 1419. Let n be y(-7). Which is the nearest to -1? (a) 1.8 (b) 4 (c) 0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x - 2 + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/4105 + -38591\/16420. Suppose g + 15 = -0*g. What is the common denominator of 103\/20 + (-3)\/g and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = 0, 4*a + 0*b + 3*b = 35. Suppose -190 = -0*j - 5*j. Let y = j - a. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 754611754 and 1742.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2445, 4928, 7411?\nAnswer: 9894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -276*f*j - 21*f*l - 22*j*l + 9*j - 793*l - 11 wrt j.\nAnswer: -276*f - 22*l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1351 and 65813.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - -20527107192.\nAnswer: 20527107191.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29027940 rounded to the nearest 100000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvwt. What is prob of sequence wt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*c = 15, 5*c = -l - 7024 + 7004 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 178*i\/7 - 348\/7.\nAnswer: -2*(i + 2)*(i + 87)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1276926 and 1848.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 538966943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}